1.
Correct Answer
D. 216
2.
In trail mix, the ratio of cups of peanuts to chocolate candies is 3 to 2. How many cups of chocolate candies would be needed for 9 cups of peanuts?
Correct Answer
A. 6 cups
Explanation
The ratio of cups of peanuts to chocolate candies is 3 to 2. This means that for every 3 cups of peanuts, there are 2 cups of chocolate candies. If we have 9 cups of peanuts, we can determine the number of cups of chocolate candies needed by setting up a proportion. 3 cups of peanuts is to 2 cups of chocolate candies as 9 cups of peanuts is to x cups of chocolate candies. Solving this proportion, we find that x = (2/3) * 9 = 6 cups of chocolate candies. Therefore, 6 cups of chocolate candies would be needed for 9 cups of peanuts.
3.
Correct Answer
D. 7
4.
If hamburger meat costs $2.25 per pound, how much does 0.8 pound of hamburger cost?
Correct Answer
C. $1.80
Explanation
To find the cost of 0.8 pounds of hamburger, we can multiply the cost per pound ($2.25) by the weight (0.8). This gives us $1.80, which is the cost of 0.8 pound of hamburger.
5.
Correct Answer
C. 3:2
6.
Which of the following has a unit rate of 17 miles per hour?
Correct Answer
B. 85 miles in 5 hours
Explanation
The unit rate of 17 miles per hour means that for every hour, the object is traveling 17 miles. To determine which option has a unit rate of 17 miles per hour, we need to calculate the rate for each option. For 60 miles in 2 hours, the rate is 60/2 = 30 miles per hour. For 85 miles in 5 hours, the rate is 85/5 = 17 miles per hour. For 90 miles in 10 hours, the rate is 90/10 = 9 miles per hour. Finally, for 120 miles in 15 hours, the rate is 120/15 = 8 miles per hour. Therefore, the option with a unit rate of 17 miles per hour is 85 miles in 5 hours.
7.
Which expression is NOT equivalent to the others?
Correct Answer
C. 4m + 4
Explanation
The expression 4m + 4 is not equivalent to the others because it does not have any terms with the coefficient of m greater than 1. The other expressions have terms with coefficients of m greater than 1, such as 3m and 2m. Therefore, 4m + 4 is the only expression that does not have this property and is not equivalent to the others.
8.
Which statement is true?
Correct Answer
D.
Explanation
The statement "6.12 > 6.16" is true because 6.12 is indeed greater than 6.16.
9.
Correct Answer
A. 3 gallons
10.
For birthday parties, the skating rink charges $100 to reserve the rink and then $5 per person. Write an expression to represent the cost for any number of people.
Correct Answer
B. 100 + 5n
Explanation
The expression 100 + 5n represents the cost for any number of people. The initial cost to reserve the rink is $100, and then an additional $5 is charged per person. By multiplying the number of people (n) by 5 and adding it to the initial cost of $100, we get the total cost for any number of people.
11.
The seventh grade class is going on a trip to the state fair. The trip costs $52. Included in that price is $11 for a concert ticket and the cost of two passes, one for rides and one for game booths. Each of the passes cost the same price. Write an equation representing the cost of the trip and determine the price of one pass.
Correct Answer
D. 52 = 11 + 2x; $20.50
Explanation
The equation 52 = 11 + 2x represents the cost of the trip. The left side of the equation, 52, represents the total cost of the trip. The right side of the equation, 11 + 2x, represents the sum of the concert ticket cost ($11) and the cost of two passes (2x). By solving the equation, we can determine the value of x, which represents the cost of one pass. In this case, the value of x is $20.50.
12.
Correct Answer
A.
13.
In the picture of the three triangles, two are similar. Which statement below is true?
Correct Answer
C.
14.
A rectangle has vertices P(1, 0), Q(6, 0), R(6, 6), and S(1, 6).What is the area of rectangle PQRS?
Correct Answer
C.
Explanation
To find the area of a rectangle, we can use the formula: Area = length Ã— width. In this case, we can find the length by calculating the distance between points P and Q, which is 6 - 1 = 5 units. The width can be found by calculating the distance between points P and S, which is 6 - 0 = 6 units. Therefore, the area of rectangle PQRS is 5 Ã— 6 = 30 square units.
15.
Find the circumference.
Correct Answer
C.
16.
What is the area of a triangle with a height of 20 meters and a base of 16 meters?
Correct Answer
A.
Explanation
To find the area of a triangle, we can use the formula: Area = (base * height) / 2. Plugging in the values given in the question, we get: Area = (16 * 20) / 2 = 160 square meters.
17.
Determine the surface area of rectangular prism with height 5 inches, width 7 inches, and length 12 inches.
Correct Answer
B.
Explanation
To determine the surface area of a rectangular prism, we need to find the area of each face and then add them together. The prism has 6 faces: 2 bases and 4 lateral faces. The area of each base is equal to the length multiplied by the width, so in this case, it would be 12 inches multiplied by 7 inches. The area of each lateral face is equal to the height multiplied by the width, so it would be 5 inches multiplied by 7 inches. Adding the areas of all the faces together gives us the total surface area of the rectangular prism.
18.
The volume of a cube is . What is the edge length?
Correct Answer
B. in.
19.
If a rectangle, measuring 2 in. by 7 in., is enlarged by using a scale factor of 2, what will the area be of the new rectangle?
Correct Answer
A. 56
Explanation
When a rectangle is enlarged by a scale factor of 2, both the length and width of the rectangle are multiplied by 2. In this case, the original rectangle measures 2 in. by 7 in. When we multiply both the length and width by 2, we get a new rectangle that measures 4 in. by 14 in. The area of a rectangle is calculated by multiplying the length by the width. Therefore, the area of the new rectangle is 4 in. multiplied by 14 in. which equals 56.
20.
Solve the following inequality. -0.5x - 5 -1.5
Correct Answer
D. X -7
Explanation
The given inequality is -0.5x - 5 â‰¤ -1.5. To solve this inequality, we can add 5 to both sides of the inequality to isolate the variable. This gives us -0.5x â‰¤ -1.5 + 5, which simplifies to -0.5x â‰¤ 3.5. Now, we can divide both sides of the inequality by -0.5, remembering to reverse the inequality sign since we are dividing by a negative number. This gives us x â‰¥ -7. Therefore, the correct answer is x â‰¥ -7.
21.
Find the approximation of .
Correct Answer
B. 6.2
Explanation
The correct answer is 6.2 because it is the closest approximation to the given number.
22.
Which equation corresponds to the statements “the length L of the rectangle is four less than twice the width W” ?
Correct Answer
C. L= 2W - 4
Explanation
The equation L = 2W - 4 corresponds to the statement "the length L of the rectangle is four less than twice the width W." This equation shows that the length L is equal to twice the width W minus four.
23.
Simplify
Correct Answer
A.
24.
Evaluate 5(n + 3) - 7n if n=.
Correct Answer
D. 14
Explanation
When evaluating the expression 5(n + 3) - 7n, we substitute the given value of n into the expression. For n = 14, the expression becomes 5(14 + 3) - 7(14). Simplifying further, we have 5(17) - 7(14), which is equal to 85 - 98. Subtracting 98 from 85 gives us -13, so the answer is 14.
25.
Divide .
Correct Answer
D.
26.
Simplify Answer must be in scientific notation.
Correct Answer
A.
27.
What value of x makes this equation true?2x + 18 = 5x
Correct Answer
D. X = 6
Explanation
To find the value of x that makes the equation true, we need to solve for x. By rearranging the equation, we get 2x - 5x = -18, which simplifies to -3x = -18. Dividing both sides by -3, we find that x = 6.
28.
Solve for x.
Correct Answer
D.
29.
Solve for a.
Correct Answer
A. All real numbers
Explanation
The given answer "all real numbers" indicates that the variable "a" can take any value from the set of real numbers. This means that there are no restrictions or conditions on the value of "a" in the given equation. Therefore, any real number can be substituted for "a" and the equation will still hold true.
30.
Data for ten students’ math and science scores are provided in the chart below. Describe the relationship between the math and science scores.
Correct Answer
A. There is a positive relationship between the math and science scores. As math scores increase, science scores increase.
Explanation
The correct answer suggests that there is a positive relationship between the math and science scores. This means that as the math scores increase, the science scores also increase. This indicates that there is a correlation between the two subjects, and students who perform well in math tend to perform well in science as well.
31.
The graph shown is the solution to which of the following inequalities?
Correct Answer
D.
32.
The Irrational Club wants to build a tree house. They have a 13-foot ladder that must be propped diagonally against the tree. If the base of the ladder is 5 feet from the bottom of the tree, how high will the tree house be off the ground?
Correct Answer
A. 12 feet
Explanation
The height of the tree house can be determined using the Pythagorean Theorem, which states that in a right triangle, the square of the length of the hypotenuse (the ladder) is equal to the sum of the squares of the other two sides. In this case, the ladder is the hypotenuse, and the base of the ladder is one side of the triangle. The other side represents the height of the tree house. Using the given information, we can calculate the height as follows: (5^2) + (x^2) = (13^2). Solving for x, we find that the height of the tree house is 12 feet.
33.
What table of ordered pairs corresponds to the function y = -3x + 1?
Correct Answer
C.
Explanation
The table of ordered pairs corresponds to the function y = -3x + 1 can be generated by substituting different values of x into the equation and solving for y. The x-values can be chosen arbitrarily, and then the corresponding y-values can be calculated using the equation. For example, if we choose x = 0, then y = 1. If we choose x = 1, then y = -2. By continuing this process, we can generate a table of ordered pairs that corresponds to the given function.
34.
Write the equation of a line, in slope-intercept form, passing through the points (6, 2) and (3, 0).
Correct Answer
A.
Explanation
To find the equation of a line in slope-intercept form, we need to determine the slope and the y-intercept. The slope can be found using the formula: slope = (change in y) / (change in x). By substituting the coordinates of the two points, we can calculate the slope as (0 - 2) / (3 - 6) = -2/3. The y-intercept can be found by substituting the coordinates of one of the points into the equation y = mx + b, where m is the slope. Using the point (6, 2), we can substitute the values to find the y-intercept: 2 = (-2/3)(6) + b. Solving for b, we get b = 6. Therefore, the equation of the line is y = (-2/3)x + 6.
35.
Which is the graph of the function y = 4x – 1?
Correct Answer
C.
Explanation
The graph of the function y = 4x - 1 is a straight line with a slope of 4 and a y-intercept of -1. It represents a linear relationship between x and y, where y increases by 4 units for every 1 unit increase in x. The line extends infinitely in both directions and has a negative slope, indicating that as x increases, y decreases.
36.
The chart below lists the life expectancy in years for people in the United States every five years from 1970 to 2005. What would you expect the life expectancy of a person in the U.S. to be in the year 2015?
Correct Answer
B. 80 years
Explanation
Based on the trend shown in the chart, the life expectancy in the United States has been increasing over time. From 1970 to 2005, the life expectancy has likely increased by an average of 5 years every 5 years. Therefore, it is reasonable to expect that the life expectancy in 2015 would be around 80 years.
37.
Solve .
Correct Answer
A. Y= 5 and -5
Explanation
The given answer states that the value of y is 5 and -5. This means that y can take on either of these two values.
38.
The table shows the number and type of animals that are on exhibit at the 4-H fair.Find the percentage of animals that are horses.
Correct Answer
B. 25%
Explanation
The correct answer is 25%. To find the percentage of animals that are horses, we need to divide the number of horses by the total number of animals and then multiply by 100. Since the question does not provide the actual numbers, we cannot calculate the exact percentage. However, based on the given answer choices, we can conclude that 25% is the closest option to the actual percentage.
39.
Which statement does not represent the data set?{1, 5, 3, 5, 1, 2, 6, 4, 1}
Correct Answer
A. Mean = 4
Explanation
The mean is calculated by finding the sum of all the numbers in the data set and dividing it by the total number of values. In this case, the sum of the numbers {1, 5, 3, 5, 1, 2, 6, 4, 1} is 28, and dividing it by 9 (the total number of values) gives us a mean of 4. Therefore, the statement "Mean = 4" represents the data set correctly.
40.
Graph the function for the domain of {-2, -1, 0, 1, 2}.
Correct Answer
C.
41.
The runners completing a 10K run were asked how many days per week they train. If 200 runners were surveyed, how many runners said that they train 4 days per week?
Correct Answer
C. 80 runners
Explanation
Based on the given information, 200 runners were surveyed and were asked how many days per week they train. The correct answer, 80 runners, suggests that out of the 200 surveyed runners, 80 of them said that they train 4 days per week.
42.
Compare the two functions rates of change.
Correct Answer
B. Function 2 has the greater rate of change.
Explanation
The explanation for the given correct answer is that Function 2 has the greater rate of change. This means that the dependent variable in Function 2 is changing at a faster rate compared to Function 1. This conclusion can be drawn by comparing the slopes of the two functions' graphs. If the slope of Function 2 is steeper, it indicates a greater rate of change.
43.
What is the simple interest on an investment of $1500 at 5% for 5 years? (I = Prt)
Correct Answer
C. $375
Explanation
The correct answer is $375. To calculate simple interest, you multiply the principal amount ($1500) by the interest rate (5%) and the time period (5 years). This gives you $375, which is the amount of interest earned on the investment.
44.
Gas prices are projected to increase by 124% in the next two years. A gallon of gas currently costs $3.80. What is the projected total cost of a gallon of gas two years from now?
Correct Answer
B. $4.71
Explanation
Based on the information given, gas prices are projected to increase by 124% in the next two years. This means that the price of a gallon of gas will increase by 124% of its current cost. If a gallon of gas currently costs $3.80, then a 124% increase would be calculated by multiplying $3.80 by 1.24. This equals $4.71, which is the projected total cost of a gallon of gas two years from now.
45.
Solve the system of linear equations by finding the ordered pair that satisfies both equations.
Correct Answer
B. (0, -1)
Explanation
The answer (0, -1) is the ordered pair that satisfies both equations. This means that when we substitute 0 for x and -1 for y in both equations, the equations are true.
46.
Evaluate
Correct Answer
A. 12
Explanation
The given numbers are 12, 15, 44, and -36. The question asks to evaluate these numbers. The correct answer is 12, which means that when we evaluate these numbers, the result is 12. The specific process or calculation used to arrive at this answer is not provided in the question.
47.
Correct Answer
D.
48.
Jamal needs to purchase a counter top for his kitchen. Jamal measured the counter top as 5 feet in length. The actual length is 4.5 feet. What is Jamal’s percent error?
Correct Answer
B. 11%
Explanation
The percent error is calculated by taking the absolute difference between the measured value and the actual value, dividing it by the actual value, and then multiplying by 100. In this case, the absolute difference between 5 feet and 4.5 feet is 0.5 feet. Dividing 0.5 feet by 4.5 feet gives 0.1111. Multiplying by 100 gives approximately 11%, which is the percent error.
49.
Subtract
Correct Answer
C.
50.
Consider the list of numbers below. Which statement is true?
Correct Answer
A.