High School Math Trivia: Solve or Slide
1.
If Rita's salary was $50,000 and she gets an 8% raise, what will her new salary be?
Hide Answer
Answer:
$54,000
Explanation:
Rita's new salary will be $54,000 after receiving an 8% raise on her previous salary of $50,000. To calculate the new salary, you multiply her current salary by 1.08 (100% + 8% raise), which equals $54,000.
Rate this question:
2.
What is the value of m if m/4+3=5 ?
Hide Answer
Answer:
8
Explanation:
To find the value of m, we first isolate m by subtracting 3 from both sides of the equation to get m/4 = 2. Then, we multiply both sides by 4 to get m = 8. This means that m is equal to 8 in the given equation.
Rate this question:
3.
What is the decimal form of 8/3 ?
Hide Answer
Answer:
2.6666
Explanation:
The decimal form of 8/3 is a recurring decimal which can be represented as 2.6666, where the digit 6 repeats infinitely. This is because when 8 is divided by 3, it results in a quotient of 2 with a remainder of 2, which when expressed in decimal form, repeats the digit 6.
Rate this question:
4.
How many feet of fencing are needed to enclose a rectangular shaped yard that is 20' by 30'?
Hide Answer
Answer:
100
Explanation:
To find the amount of fencing needed to enclose a rectangular yard, you would add up the four sides. In this case, the two shorter sides are 20 feet each, and the two longer sides are 30 feet each. Adding these together (20 + 20 + 30 + 30) gives a total of 100 feet of fencing needed.
Rate this question:
5.
If a recipe calls for 1 1/3 cup flour and you double the recipe, how much flour do you need?
Hide Answer
Answer:
2 2/3 Cups
Explanation:
When you double the recipe, you also need to double the amount of each ingredient. Therefore, if the original recipe calls for 1 1/3 cup of flour, when you double it, you will need 2 2/3 cups of flour.
Rate this question:
6.
If a recipe calls for 1 1/2 cups of flour, but you are halving it, how much flour do you need?
Hide Answer
Answer:
3/4 Cup
Explanation:
When halving a recipe that calls for 1 1/2 cups of flour, you would need to divide the original amount by 2. Therefore, half of 1 1/2 cups is 3/4 cup. This is because when you halve a quantity, you are essentially dividing it by 2, resulting in 3/4 cup of flour needed for the adjusted recipe.
Rate this question:
7.
What is the circumference of a circle of radius 10.5 cm?
Hide Answer
Answer:
66cm
Explanation:
The circumference of a circle is calculated using the formula 2 * π * radius. In this case, the radius is given as 10.5 cm. By substituting this value into the formula, we get 2 * 3.14 * 10.5 = 66 cm.
Rate this question:
8.
If paper costs $10.00 for 2 packs of 500 hundred sheets, what is the cost per sheet?
Hide Answer
Answer:
1 Cent
Explanation:
The cost per sheet is calculated by dividing the total cost of $10.00 by the total number of sheets, which is 1000 sheets (2 packs of 500 sheets each). Therefore, the cost per sheet is 1 cent.
Rate this question:
9.
If you earn $20 an hour and work 40 hours each week, what is your annual income before taxes?
Hide Answer
Answer:
$41, 600
Explanation:
To calculate annual income before taxes, you multiply the hourly wage by the number of hours worked per week, and then multiply that by the number of weeks in a year. In this case, $20/hour x 40 hours/week x 52 weeks/year = $41,600.
Rate this question:
10.
How many 90-minute movies can you watch in 6 hours?
Hide Answer
Answer:
4 Movies
Explanation:
In 6 hours, there are a total of 360 minutes. Since each movie is 90 minutes long, you can watch 4 movies in 6 hours by dividing the total time available (360 minutes) by the duration of each movie (90 minutes). This calculation results in being able to watch 4 movies in 6 hours.
Rate this question:
11.
How many degrees does a straight angle have?
Hide Answer
Answer:
180 Degrees
Explanation:
A straight angle is formed by a straight line, which is a line that does not bend. Since a straight line forms a 180-degree angle when it is extended, a straight angle also has 180 degrees.
Rate this question:
12.
What name do we give an angle whose measure is between 0 degrees and 90 degrees (non-inclusive)?
Hide Answer
Answer:
Acute Angle
Explanation:
An acute angle is a term used to describe an angle that measures between 0 degrees and 90 degrees, not including 0 or 90 degrees. It is characterized by being less than a right angle, which is 90 degrees. This type of angle is commonly found in geometric shapes and is important in understanding the relationships between angles in various mathematical problems.
Rate this question:
13.
What is the name of a 12-sided polygon?
Hide Answer
Answer:
Dodecagon
Explanation:
A 12-sided polygon is called a dodecagon because the prefix "dodeca-" means twelve in Greek, and the suffix "-gon" refers to a polygon. So, when combined, it forms the term dodecagon to specifically describe a polygon with twelve sides.
Rate this question:
14.
When two lines intersect, how many points do they share?
Hide Answer
Answer:
1
Explanation:
When two lines intersect, they share only one point. This point is known as the point of intersection, where the two lines meet. This is because by definition, a line is made up of an infinite number of points, but when two lines intersect, they do so at only one specific point.
Rate this question:
15.
What is unique about the intersection of perpendicular lines?
Hide Answer
Answer:
They Form Right Angles
Explanation:
Perpendicular lines intersect at a 90-degree angle, known as a right angle. This unique characteristic is what sets them apart from other types of lines that intersect at different angles. The formation of right angles at the intersection of perpendicular lines is a fundamental property of geometry that is essential in various mathematical and architectural applications.
Rate this question:
16.
What is unique about the slopes of parallel lines?
Hide Answer
Answer:
They Are Always Equal
Explanation:
Parallel lines are lines that never intersect, no matter how far they are extended. The unique characteristic of parallel lines is that they have the same slope. This means that they have the same steepness or incline, even though they are in different positions on a graph. This property allows mathematicians to easily identify parallel lines and make calculations based on their relationship to each other.
Rate this question:
17.
What is 3x - 10x?
Hide Answer
Answer:
-7x
Explanation:
The expression 3x - 10x can be simplified by combining like terms, which means subtracting the coefficients of x. In this case, 3x and 10x are like terms with x as the variable. When we subtract 10x from 3x, we get -7x because 3x minus 10x equals -7x.
Rate this question:
18.
If the area of a rectangle is 280 square feet and its length is 40 feet, what is its width?
Hide Answer
Answer:
7 Feet
Explanation:
The area of a rectangle is calculated by multiplying its length by its width. In this case, the area is given as 280 square feet and the length is given as 40 feet. To find the width, we can divide the area by the length: 280 sq ft / 40 ft = 7 ft. This means that the width of the rectangle is 7 feet.
Rate this question:
19.
What value of x makes "5^x = 25" a true statement?
Hide Answer
Answer:
2
Explanation:
The value of x that makes "5^x = 25" a true statement is 2 because 5^2 is equal to 25. This is because 5 raised to the power of 2 equals 25, satisfying the equation.
Rate this question:
20.
What is 0.812 - 1.28?
Hide Answer
Answer:
-0.468
Explanation:
Subtracting 1.28 from 0.812 gives a result of -0.468. This is because when you subtract a larger number (1.28) from a smaller number (0.812), the result will be negative. In this case, the difference between 1.28 and 0.812 is 0.468, and since we are subtracting 1.28 from 0.812, the answer is -0.468.
Rate this question:
21.
What value of x makes "x + (-8) = -16" a true statement?
Hide Answer
Answer:
-8
Explanation:
To make the equation true, we need to find the value of x that when added to -8 equals -16. Since -8 + (-8) = -16, the value of x that makes the equation true is -8.
Rate this question:
22.
If the side of a square is of length (x + 5), what is the perimeter of the square?
Hide Answer
Answer:
4x + 20
Explanation:
The perimeter of a square is calculated by adding up all four sides. Since each side of the square is of length (x + 5), the perimeter can be found by multiplying this length by 4, which results in 4(x + 5). Simplifying this expression gives 4x + 20 as the perimeter of the square.
Rate this question:
23.
If two angles in a triangle are 45 degrees and 55 degrees, what is the measure of the third angle?
Hide Answer
Answer:
80 Degrees
Explanation:
The sum of the angles in a triangle is always 180 degrees. Therefore, the measure of the third angle can be found by subtracting the sum of the two given angles (45 degrees + 55 degrees = 100 degrees) from 180 degrees. This gives us 80 degrees for the measure of the third angle.
Rate this question:
24.
What value of x makes 8x - 5(x - 2) = x + 26 a true statement?
Hide Answer
Answer:
8
Explanation:
To find the value of x that makes the equation true, we first simplify the equation by distributing the -5 into the parentheses: 8x - 5x + 10 = x + 26. Combining like terms gives us 3x + 10 = x + 26. By isolating x, we subtract x from both sides to get 2x + 10 = 26. Then, subtracting 10 from both sides gives us 2x = 16. Finally, dividing by 2 gives us x = 8, which is the value that makes the equation true.
Rate this question:
25.
What is the Greatest Common Factor of 14 and 24?
Hide Answer
Answer:
2
Explanation:
The Greatest Common Factor of two numbers is the largest number that divides both numbers evenly. In this case, the factors of 14 are 1, 2, 7, and 14, while the factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24. The largest number that appears in both lists is 2, making it the Greatest Common Factor of 14 and 24.
Rate this question:
26.
If you can drive 390 miles in 6 hours, how many miles can you drive in 9 hours?
Hide Answer
Answer:
585
Explanation:
Driving 390 miles in 6 hours means you are driving at an average speed of 65 miles per hour. Therefore, in 9 hours, you would cover 585 miles (65 miles/hour x 9 hours = 585 miles).
Rate this question:
27.
What is 3x + (-3x)?
Hide Answer
Answer:
26/May
28.
What is -2 + (-8)?
Hide Answer
Answer:
-10
Explanation:
When adding two negative numbers, the result is a negative number. In this case, -2 plus -8 equals -10 because when you combine the two negative numbers, the result is a larger negative number.
Rate this question:
29.
What is 0.14 - (-0.13)?
Hide Answer
Answer:
0.27
Explanation:
When subtracting a negative number, it is equivalent to adding the positive version of that number. So, 0.14 - (-0.13) is the same as 0.14 + 0.13, which equals 0.27.
Rate this question:
30.
What kind of equation is "4^2 = 16"?
Hide Answer
Answer:
Exponential
Explanation:
The equation "4^2 = 16" is an exponential equation because it involves a base (4) raised to a power (2), resulting in the value 16. Exponential equations typically involve variables as exponents and are commonly used in mathematics and science to represent growth or decay processes.
Rate this question:
31.
What is the reciprocal of 1/3?
Hide Answer
Answer:
03/Jan
Explanation:
The reciprocal of a fraction is found by flipping the fraction upside down. In this case, the reciprocal of 1/3 is 3/1, which simplifies to 3. Therefore, the reciprocal of 1/3 is 3.
Rate this question:
32.
What is "x + 5"?
Hide Answer
Answer:
An Expression
Explanation:
An expression is a mathematical phrase that combines numbers, variables, and operations such as addition, subtraction, multiplication, and division. In this case, "x + 5" is an expression because it combines the variable x with the constant 5 using the addition operation. Expressions are used to represent mathematical relationships and can be evaluated to obtain a numerical value.
Rate this question:
33.
What does "ASA" stand for in geometry?
Hide Answer
Answer:
Angle-Side-Angle
Explanation:
In geometry, "ASA" stands for Angle-Side-Angle. This refers to a theorem used to prove that two triangles are congruent when two angles and the included side of one triangle are congruent to two angles and the included side of another triangle. This is a fundamental concept in geometry that helps in determining the congruence of triangles based on specific criteria.
Rate this question:
34.
What value of x makes "3x = x" a true statement?
Hide Answer
Answer:
0
Explanation:
In order for the equation "3x = x" to be true, x must be equal to 0. This is because when x is substituted with 0, the equation becomes "3(0) = 0", which simplifies to "0 = 0", making the statement true.
Rate this question:
35.
For what values of x does the absolute value of x-1 equal 2?
Hide Answer
Answer:
3, -1
Explanation:
The absolute value of x-1 equals 2 when x is either 3 or -1 because when x is 3, |3-1| = 2 and when x is -1, |-1-1| = 2. These values satisfy the equation |x-1| = 2.
Rate this question:
36.
What is -2(6)?
Hide Answer
Answer:
-12
Explanation:
When you multiply -2 by 6, you get -12. This is because when you have a negative number multiplied by a positive number, the result will be negative. In this case, -2 multiplied by 6 equals -12.
Rate this question:
37.
What types of numbers are greater than zero?
Hide Answer
Answer:
Positive
Explanation:
Numbers that are greater than zero are considered positive numbers. Positive numbers are any numbers that are greater than zero on the number line. This includes whole numbers, fractions, decimals, and irrational numbers that are all greater than zero.
Rate this question:
38.
What power does scientific notation deal with?
Hide Answer
Answer:
10
Explanation:
Scientific notation deals with expressing numbers in the form of a number between 1 and 10 multiplied by a power of 10. This allows for easier representation of very large or very small numbers by reducing the number of digits needed to write them out.
Rate this question:
39.
If you flip a fair coin 2 times and get head 2 times what is the chance that next flip will be head?
Hide Answer
Answer:
1 In 2
Explanation:
The probability of getting heads on a fair coin flip is always 1 in 2, regardless of the outcomes of previous flips. Each flip is an independent event and the outcome of one flip does not affect the outcome of the next flip. Therefore, the chance of getting heads on the next flip remains 1 in 2.
Rate this question:
40.
What is the reciprocal to the sine function?
Hide Answer
Answer:
Cosecant
Explanation:
The reciprocal of a trigonometric function is the multiplicative inverse of the function. In this case, the reciprocal of the sine function is the cosecant function, which is equal to 1 divided by the sine function. So, the correct answer is cosecant.
Rate this question:
41.
How big is the number X after first increasing it by 50% and then decreasing the result by 50%?
Hide Answer
Answer:
3/4 The Original Size Of X
Explanation:
When a number is increased by 50% and then decreased by 50%, the final result will be 75% of the original number. This is because increasing by 50% makes the number 1.5 times the original, and then decreasing by 50% brings it back down to 75% of the original size.
Rate this question:
42.
If an account yields 2% interest, how much is earned on $300 kept in the account for two years?
Hide Answer
Answer:
$12
Explanation:
The interest earned on the $300 kept in the account for two years at a 2% interest rate would be $12. This is calculated by multiplying the principal amount ($300) by the interest rate (2%) and the time period (2 years), which results in $12.
Rate this question:
43.
If it is 30 degrees Celsius outside, what is the temperature in degrees Fahrenheit?
Hide Answer
Answer:
86
Explanation:
To convert Celsius to Fahrenheit, you can use the formula: Fahrenheit = (Celsius x 9/5) + 32. By plugging in 30 degrees Celsius into the formula, you get: (30 x 9/5) + 32 = 86 degrees Fahrenheit.
Rate this question:
44.
If x=2 and y=3, what is the value of x^x+y^y ?
Hide Answer
Answer:
31
Explanation:
When x=2 and y=3, the expression x^x+y^y becomes 2^2 + 3^3 which is equal to 4 + 27, resulting in 31.
Rate this question:
45.
The circumference of a circle is 44cm. What is its area?
Hide Answer
Answer:
154 Sq.Cm
Explanation:
The area of a circle can be calculated using the formula A = πr^2, where r is the radius of the circle. In this case, the circumference of the circle is given as 44cm. Using the formula for circumference, C = 2πr, we can find the radius to be 7cm. Substituting this radius value into the area formula, we get A = π(7)^2 = 49π ≈ 154 Sq.Cm.
Rate this question:
46.
If y=2x+3 and y=5, what does x equal?
Hide Answer
Answer:
1
Explanation:
The equation y=2x+3 is equal to y=5. By substituting 5 in place of y in the equation, we get 5=2x+3. Solving for x, we subtract 3 from both sides to get 2x=2. Dividing both sides by 2 gives x=1.
Rate this question:
47.
How long is a taut string running from the top of a 12' pole to your feet 5' away?
Hide Answer
Answer:
13 Feet
Explanation:
The length of the taut string running from the top of the 12' pole to your feet 5' away can be calculated using the Pythagorean theorem, which states that in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the other two sides. In this case, the length of the string is the hypotenuse, so it can be calculated as the square root of (12^2 + 5^2), which equals 13 feet.
Rate this question:
48.
What is 3x^1/6 * 3x^-7/6 expressed with positive exponents?
Hide Answer
Answer:
9/x
Explanation:
When multiplying two terms with the same base, you add the exponents. In this case, 3x^1/6 * 3x^-7/6 simplifies to 3^(1/6 + (-7/6)) * x^(1/6 + (-7/6)), which becomes 3^(-6/6) * x^(-6/6), and further simplifies to 3^(-1) * x^(-1), which is equivalent to 1/3 * 1/x, or simply 9/x.
Rate this question:
49.
Using law of exponents, what is 8^9 / 8^3?
Hide Answer
Answer:
8^6
Explanation:
When dividing two numbers with the same base, you subtract the exponents. In this case, 8^9 divided by 8^3 is equal to 8^(9-3) which simplifies to 8^6.
Rate this question:
50.
Noting that there was no year "0", how many years separate May 1, 378 B.C. from May 1, 378 A.D.?
Hide Answer
Answer:
755
Explanation:
The difference between May 1, 378 B.C. and May 1, 378 A.D. is 755 years because when calculating the difference between dates that cross over the B.C./A.D. threshold, it is important to consider that there is no year 0. Therefore, the calculation would be 378 + 378 + 1 (to account for the missing year 0) = 755 years.
Rate this question:
51.
What is the value of 9^-4 / 9^-5?
Hide Answer
Answer:
9
Explanation:
When dividing numbers with the same base raised to different exponents, you subtract the exponents. In this case, 9^-4 divided by 9^-5 is equal to 9^-4-(-5) which simplifies to 9^1, which is equal to 9.
Rate this question:
52.
What is the value of x for the exponential equation 2^x-3 = 1?
Hide Answer
Answer:
3
Explanation:
In order to solve the exponential equation 2^x-3 = 1, we first need to isolate the exponential term. Adding 3 to both sides gives us 2^x = 4. Then, we can rewrite 4 as 2^2. Therefore, x must be equal to 2, as 2^x = 2^2.
Rate this question:
53.
If a stock trades at $20 and increases 1.5 per cent in one day, what is the new price?
Hide Answer
Answer:
$20.30
Explanation:
The new price can be calculated by adding the 1.5% increase to the original price of $20. Therefore, $20 + (1.5% of $20) = $20 + $0.30 = $20.30.
Rate this question:
54.
Using law of exponents, what is a^-3 b^-4/a^-2 b^-3 in simplified terms?
Hide Answer
Answer:
1/ab
Explanation:
When dividing two terms with the same base, we subtract the exponents. In this case, when we divide a^-3 by a^-2, we subtract the exponents (-3 - (-2) = -3 + 2 = -1). Similarly, when we divide b^-4 by b^-3, we subtract the exponents (-4 - (-3) = -4 + 3 = -1). Therefore, the expression simplifies to a^-1 b^-1, which is equivalent to 1/ab.
Rate this question:
55.
If a CD costs $15 and a CD case $25, what is the cost of n CDs and m cases?
Hide Answer
Answer:
15n + 25m
Explanation:
The cost of n CDs is $15n and the cost of m cases is $25m. To find the total cost of n CDs and m cases, we simply add the two costs together, resulting in 15n + 25m.
Rate this question:
56.
How much commission would a realtor make on a $275,000 home if their rate was 8%?
Hide Answer
Answer:
$22,000
Explanation:
A realtor would make a commission of $22,000 on a $275,000 home if their rate was 8%. This is calculated by multiplying the home price by the commission rate (275,000 * 0.08 = 22,000).
Rate this question:
57.
If you buy a stock for 1$ in 1955, and it doubles every ten years, how much is it worth in 2005?
Hide Answer
Answer:
$32
Explanation:
The stock doubles every ten years, so in 2005, it would have doubled 5 times from 1955. Starting at $1 in 1955, it would be worth $2 in 1965, $4 in 1975, $8 in 1985, $16 in 1995, and finally $32 in 2005.
Rate this question:
58.
What is the area of a parallelogram with a base measuring 15cm and a height of 10cm?
Hide Answer
Answer:
150 cm
Explanation:
The area of a parallelogram is calculated by multiplying the base by the height. In this case, the base is 15cm and the height is 10cm. Multiplying 15cm by 10cm gives us an area of 150 square centimeters.
Rate this question:
59.
How many roots does a quadratic equation with real (or complex) coefficients have?
Hide Answer
Answer:
Two
Explanation:
A quadratic equation with real (or complex) coefficients will always have two roots due to the fundamental theorem of algebra. This theorem states that a polynomial equation of degree n will have exactly n roots, counting multiplicities. In the case of a quadratic equation (degree 2), it will have two roots, which can be real or complex depending on the discriminant of the equation.
Rate this question:
60.
What is the supplement of a 170 degree angle?
Hide Answer
Answer:
10 Degrees
Explanation:
The supplement of an angle is the angle that when added to the given angle equals 180 degrees. Since the given angle is 170 degrees, the supplement would be 180 degrees - 170 degrees = 10 degrees.
Rate this question:
61.
What name do we give an angle whose measure is between 90 degrees and 180 degrees (non-inclusive)?
Hide Answer
Answer:
Obtuse Angle
Explanation:
An angle whose measure is between 90 degrees and 180 degrees is called an obtuse angle because it is greater than 90 degrees but less than 180 degrees. Obtuse angles are characterized by their openness and are commonly found in geometric shapes such as triangles and quadrilaterals.
Rate this question:
62.
What characteristic do adjacent angles have?
Hide Answer
Answer:
A Commen Vertex And A Common Side
Explanation:
Adjacent angles share a common vertex and a common side. This means that they have a point where the two angles meet and a side that is shared between them. This relationship allows adjacent angles to be next to each other and form a linear pair, making them useful in geometry for understanding the relationships between angles.
Rate this question:
63.
What is the complement of a 45 degree angle?
Hide Answer
Answer:
45 Degrees
Explanation:
The complement of an angle is the angle that when added to the original angle equals 90 degrees. Since a 45 degree angle already measures half of 90 degrees, its complement would also be 45 degrees in order to add up to a total of 90 degrees.
Rate this question:
64.
How many degrees are in a right angle?
Hide Answer
Answer:
90 Degrees
Explanation:
A right angle is defined as an angle that measures exactly 90 degrees. This is based on the geometric principle that a right angle is formed when two lines intersect and form four equal angles, each measuring 90 degrees. Therefore, by definition, a right angle always measures 90 degrees.
Rate this question:
65.
What quadrant would the point (-4, -7) be graphed in?
Hide Answer
Answer:
III
Explanation:
The point (-4, -7) would be graphed in the third quadrant because both the x-coordinate (-4) and the y-coordinate (-7) are negative. In the third quadrant, both the x and y values are negative, making it the correct quadrant for the given point.
Rate this question:
66.
What is the slope of a horizontal line?
Hide Answer
Answer:
Zero Slope
Explanation:
A horizontal line has a slope of zero because it is parallel to the x-axis and does not rise or fall as it extends to the right. In other words, the change in y-coordinate is zero for any change in x-coordinate along a horizontal line, resulting in a slope of zero.
Rate this question:
67.
What is another name for the Rectangular Coordinate System?
Hide Answer
Answer:
Cartesian Coordinate System
Explanation:
The Rectangular Coordinate System is also known as the Cartesian Coordinate System, named after the mathematician and philosopher René Descartes who introduced the concept of using coordinates to represent points in space. This system uses two perpendicular lines, known as the x-axis and y-axis, to locate points in a plane by their distances from these axes.
Rate this question:
68.
What is 1 3/4 times 1 2/3 as a mixed number in lowest terms?
Hide Answer
Answer:
2 91666666666667/100000000000000
Explanation:
To find 1 3/4 times 1 2/3, we first convert the mixed numbers to improper fractions: 7/4 and 5/3. Multiplying these fractions gives us 35/12. To convert this improper fraction back to a mixed number in lowest terms, we divide 35 by 12, which equals 2 with a remainder of 11. Therefore, the answer is 2 11/12.
Rate this question:
69.
What is 6 + 3(a + 2) simplified?
Hide Answer
Answer:
3a + 12
Explanation:
To simplify the expression 6 + 3(a + 2), distribute the 3 to both terms inside the parentheses to get 6 + 3a + 6. Combining like terms, 6 + 6 equals 12, so the simplified expression is 3a + 12.
Rate this question:
70.
What is the prime factorization of 315?
Hide Answer
Answer:
5 x 7 x 3 x 3
Explanation:
The prime factorization of a number involves breaking it down into its prime factors, which are numbers that can only be divided by 1 and themselves. In the case of 315, the prime factorization is 5 x 7 x 3 x 3 because 315 can be divided by 5, 7, 3, and 3 only, making them the prime factors of 315.
Rate this question:
71.
What value of x will make "6x - 1 = 12" a true statement?
Hide Answer
Answer:
13/Jun
Explanation:
To make the equation "6x - 1 = 12" a true statement, x must equal 13/6. This can be found by isolating x and solving for it by adding 1 to both sides and then dividing by 6.
Rate this question:
72.
If a = 1.9 and b = 0.6, what is ab - b^2?
Hide Answer
Answer:
0.78
Explanation:
To find the value of ab - b^2, we first multiply a and b which gives 1.9 * 0.6 = 1.14. Then we subtract b^2 (0.6^2 = 0.36) from the result, which is 1.14 - 0.36 = 0.78.
Rate this question:
73.
What percent of a circle is 75 degrees?
Hide Answer
Answer:
20.83%
Explanation:
75 degrees is 20.83% of a full circle, which consists of 360 degrees. This can be calculated by dividing 75 by 360 and then multiplying by 100 to convert it to a percentage.
Rate this question:
74.
Which expression represents the use of the distributive property on 3(a + b)?
Hide Answer
Answer:
3a + 3b
Explanation:
The distributive property states that when a number is multiplied by the sum of two numbers, it is the same as multiplying the number by each of the two numbers and then adding the results. In this case, 3 is being multiplied by the sum of a and b, which results in 3a + 3b.
Rate this question:
75.
What is the greatest common factor of 9x, 3y, and 12z?
Hide Answer
Answer:
3
Explanation:
The greatest common factor of 9x, 3y, and 12z is 3 because it is the largest number that can evenly divide all three terms. In this case, 3 is the largest factor that each term shares, making it the greatest common factor.
Rate this question:
76.
What value of x makes "-6x = -42" a true statement?
Hide Answer
Answer:
7
Explanation:
To make the equation "-6x = -42" true, we need to find the value of x that satisfies this equation. By dividing both sides of the equation by -6, we find that x = 7. This is because -6 multiplied by 7 equals -42, making the equation true.
Rate this question:
77.
What is the slope of y = -4x + 1?
Hide Answer
Answer:
-4
Explanation:
The slope of a linear equation in the form y = mx + b is represented by the coefficient of x, which in this case is -4. This means that the slope of y = -4x + 1 is -4.
Rate this question:
78.
What value of x makes 4x - 2 = 2(x + 1) a true statement?
Hide Answer
Answer:
2
Explanation:
To find the value of x that makes the equation true, we need to solve for x. By simplifying the equation, we get 4x - 2 = 2x + 2. Combining like terms, we get 2x = 4. Dividing both sides by 2, we find x = 2. This value satisfies the equation and makes it true.
Rate this question:
79.
What is the square root of 28 in simplified form?
Hide Answer
Answer:
2 Times The Square Root of 7
Explanation:
The square root of 28 can be simplified as the square root of 4 times the square root of 7, which equals 2 times the square root of 7.
Rate this question:
80.
What is the solution of 4x - 7(x - 1) > 3(x + 1)?
Hide Answer
Answer:
X < 2/3
Explanation:
The solution involves simplifying the inequality by distributing the -7 and 3, then combining like terms. By doing so, we get 4x - 7x + 7 > 3x + 3. This simplifies to -3x + 7 > 3x + 3. By further simplifying, we get -6x > -4, which leads to x < 2/3 when dividing by -6 and flipping the inequality sign.
Rate this question:
81.
What value of x makes "2x + 3 = 15" a true statement?
Hide Answer
Answer:
6
Explanation:
To make the equation "2x + 3 = 15" true, x needs to be equal to 6. This is because when x is substituted with 6 in the equation, it becomes "2(6) + 3 = 15" which simplifies to "12 + 3 = 15", and further simplifies to "15 = 15", making the statement true.
Rate this question:
82.
What kind of slope does the line 3x - 2y = 6 have?
Hide Answer
Answer:
Positive
Explanation:
The given equation is in the form of y = mx + b, where m is the slope. In this case, the coefficient of x is 3, which is positive. Since the slope of a line is determined by the coefficient of x in the equation, a positive coefficient indicates a positive slope. So, the line 3x - 2y = 6 has a positive slope.
Rate this question:
83.
What kind of slope does the line "3x + 2y = 6" have?
Hide Answer
Answer:
Negative
Explanation:
The given equation is in standard form (Ax + By = C) where A is the coefficient of x and B is the coefficient of y. Since the coefficient of x is positive (3) and the coefficient of y is also positive (2), the slope of the line is negative. This is because the slope of a line in standard form is calculated as -A/B, which in this case would be -3/2, indicating a negative slope.
Rate this question:
84.
If x = 4, what is 3^x (3 to the power of x)?
Hide Answer
Answer:
81
Explanation:
When x is equal to 4, 3^4 is equal to 81. This is because 3^4 means 3 multiplied by itself 4 times, which equals 81.
Rate this question:
85.
What kind of slope does y = 4 have?
Hide Answer
Answer:
Zero
Explanation:
The equation y = 4 represents a horizontal line at y = 4 on the y-axis. Since the line is horizontal, it has a slope of zero. In a horizontal line, the change in y is zero for any change in x, resulting in a slope of zero.
Rate this question:
86.
What is the y-intercept of 4x + 2y = -8?
Hide Answer
Answer:
(0, -4)
Explanation:
The y-intercept of a linear equation represents the point where the line intersects the y-axis. To find the y-intercept, we set x = 0 in the equation and solve for y. In this case, when x = 0, the equation becomes 2y = -8, which simplifies to y = -4. Therefore, the y-intercept is the point (0, -4).
Rate this question:
87.
What is the midpoint of the line segment with endpoints at (-1, 1) and (7, -3)?
Hide Answer
Answer:
(3, -1)
Explanation:
The midpoint of a line segment is calculated by finding the average of the x-coordinates and the average of the y-coordinates of the endpoints. In this case, the average of the x-coordinates (-1 and 7) is 3, and the average of the y-coordinates (1 and -3) is -1. Therefore, the midpoint of the line segment with endpoints at (-1, 1) and (7, -3) is (3, -1).
Rate this question:
88.
If f(x) = 3x - 2 and g(x) = 2x + 1, what is f + g?
Hide Answer
Answer:
5x - 1
Explanation:
To find f + g, we simply add the two functions together. So, f + g = (3x - 2) + (2x + 1) = 3x + 2x - 2 + 1 = 5x - 1.
Rate this question:
89.
If f(x) = -7x + 5, what is f(-1)?
Hide Answer
Answer:
12
Explanation:
To find f(-1), we substitute -1 in place of x in the function f(x) = -7x + 5. Therefore, f(-1) = -7(-1) + 5 = 7 + 5 = 12. This calculation results in 12 as the value of f(-1).
Rate this question:
90.
If f(x) = 1/(x - 1) what is f(1)?
Hide Answer
Answer:
Undefined
Explanation:
Since the function f(x) is defined as 1/(x - 1), when x is equal to 1, the denominator becomes 0. Division by zero is undefined in mathematics, therefore f(1) is undefined.
Rate this question:
91.
What is the y-intercept of y = 2x - 3?
Hide Answer
Answer:
-3
Explanation:
The y-intercept is the point where the graph of the equation crosses the y-axis. In the equation y = 2x - 3, the y-intercept occurs when x = 0. Substituting x = 0 into the equation, we get y = 2(0) - 3 = -3. Therefore, the y-intercept is -3.
Rate this question:
92.
If x = -2, what is x^3 + 2x^2 - 2x?
Hide Answer
Answer:
4
Explanation:
When x = -2, substituting into the expression x^3 + 2x^2 - 2x gives (-2)^3 + 2(-2)^2 - 2(-2) = -8 + 8 + 4 = 4.
Rate this question:
93.
What is the y-intercept for y = x^2 + 2x + 1?
Hide Answer
Answer:
(0, 1)
Explanation:
The y-intercept for a quadratic equation can be found by setting x = 0 and solving for y. In this case, when x = 0, y = 1. Therefore, the y-intercept for the equation y = x^2 + 2x + 1 is (0, 1).
Rate this question:
94.
What is the median of 3, 5, 1, 2, 4, 9?
Hide Answer
Answer:
3.5
Explanation:
The median is the middle number when the numbers are arranged in order. In this case, when the numbers 1, 2, 3, 4, 5, 9 are arranged in ascending order, the middle numbers are 3 and 4. To find the median, we take the average of these two numbers, which is 3.5.
Rate this question:
95.
What is the simplest form of -3x + 7 < 2x - 8?
Hide Answer
Answer:
X > 3
Explanation:
The inequality -3x + 7 < 2x - 8 simplifies to -5x < -15, which further simplifies to x > 3 when dividing both sides by -5.
Rate this question:
96.
What value of x will make the equation -4x + 7 = -13 a true statement?
Hide Answer
Answer:
5
Explanation:
To make the equation -4x + 7 = -13 true, we need to find the value of x that satisfies the equation. By isolating x, we can solve for x by first subtracting 7 from both sides to get -4x = -20, then dividing by -4 to get x = 5. This means that when x is 5, the equation -4(5) + 7 = -13 will be true.
Rate this question:
97.
What value of x will make "10x - 2 = -4x + 40" a true statement?
Hide Answer
Answer:
3
Explanation:
To make the equation "10x - 2 = -4x + 40" true, we need to find the value of x that satisfies the equation. By simplifying the equation, we get 14x = 42, which simplifies further to x = 3. Therefore, the value of x that will make the equation true is 3.
Rate this question:
98.
How many ways can a club of 7 choose a President, Vice-President, and Secretary?
Hide Answer
Answer:
210
Explanation:
In order to determine the number of ways a club of 7 can choose a President, Vice-President, and Secretary, we need to use the concept of permutations. Since each position can only be filled by one person and the order matters, we need to calculate the number of permutations. The formula for permutations of n objects taken r at a time is nPr = n! / (n-r)!. In this case, we have 7 choices for President, 6 choices for Vice-President, and 5 choices for Secretary. Therefore, the total number of ways the club can choose the positions is 7P3 = 7! / (7-3)! = 7! / 4! = 7 x 6 x 5 = 210.
Rate this question:
99.
What is 4 factorial?
Hide Answer
Answer:
24
Explanation:
4 factorial is the product of all positive integers up to 4. In this case, it is calculated as 4 x 3 x 2 x 1, which equals 24.
Rate this question:
100.
What is the slope of the line through the points (3, 4) and (5,2)?
Hide Answer
Answer:
-1
Explanation:
The slope of a line passing through two points can be found using the formula (y2 - y1) / (x2 - x1). In this case, the points are (3, 4) and (5, 2). By substituting the coordinates into the formula, we get (2 - 4) / (5 - 3) = -2 / 2 = -1. This means that the slope of the line passing through these two points is -1.
Rate this question:
Back to top