1.
-15 + (-7)
Correct Answer
A. -22
Explanation
The given expression involves adding two negative numbers, -15 and -7. When adding negative numbers, the result is always negative. Therefore, the sum of -15 and -7 is -22.
2.
14 - 24
Correct Answer
A. -10
Explanation
The given question is asking for the difference between 14 and 24. When we subtract 24 from 14, we get -10. Therefore, the correct answer is -10.
3.
-8 - 10
Correct Answer
C. -18
Explanation
The correct answer is -18 because when we subtract a negative number from a negative number, we add the absolute values of the numbers and keep the same sign as the larger number. In this case, -8 - (-10) becomes -8 + 10, which equals 2.
4.
5 - (-15)
Correct Answer
D. 20
Explanation
The given expression is 5 - (-15). When subtracting a negative number, it is equivalent to adding the positive of that number. So, -(-15) becomes +15. Therefore, the expression simplifies to 5 + 15, which equals 20.
5.
Solve for the variable.27 + n = 42
Correct Answer
D. N = 15
Explanation
To solve the equation 27 + n = 42, we need to isolate the variable n. We can do this by subtracting 27 from both sides of the equation. This gives us n = 42 - 27, which simplifies to n = 15. Therefore, the correct answer is n = 15.
6.
Solve for the variable.n - 20 = 25
Correct Answer
C. N = 45
Explanation
The equation is n - 20 = 25. To solve for n, we need to isolate the variable. Adding 20 to both sides of the equation, we get n = 45.
7.
Solve for the variable.n/6 = 12
Correct Answer
A. N = 72
Explanation
To solve for the variable, we need to isolate it on one side of the equation. In this case, we have n divided by 6 equals 12. To get rid of the division, we can multiply both sides of the equation by 6. This cancels out the division on the left side, leaving us with n equals 72. Therefore, the correct answer is n = 72.
8.
Solve for the variable.7n = 70
Correct Answer
A. N = 10
Explanation
To solve the equation 7n = 70, we need to isolate the variable n. We can do this by dividing both sides of the equation by 7. This gives us n = 10.
9.
Are 8/9 and 24/27 equivalent?
Correct Answer
A. Yes
Explanation
Two fractions are equivalent if they represent the same value. To determine if 8/9 and 24/27 are equivalent, we can simplify both fractions. The numerator and denominator of both fractions are divisible by 3, so we can simplify 8/9 to 8/9 and 24/27 to 8/9. Since both fractions simplify to the same value, 8/9 and 24/27 are indeed equivalent.
10.
Write 3/5 as a decimal.
Correct Answer
C. .6
Explanation
To convert a fraction to a decimal, you divide the numerator (top number) by the denominator (bottom number). In this case, 3 divided by 5 equals 0.6. Therefore, the decimal representation of 3/5 is 0.6.
11.
Write 3/5 as a percent.
Correct Answer
B. 60 %
Explanation
To write a fraction as a percent, you need to divide the numerator (3) by the denominator (5) and then multiply the result by 100. In this case, 3 divided by 5 is 0.6. Multiplying 0.6 by 100 gives us 60, so the fraction 3/5 can be written as 60%.
12.
Write 1.5 as a percent.
Correct Answer
A. 150%
Explanation
To convert a decimal to a percent, we multiply it by 100. In this case, 1.5 multiplied by 100 equals 150. Therefore, 1.5 can be expressed as 150%.
13.
Write 4% as a decimal.
Correct Answer
C. .04
Explanation
To write a percentage as a decimal, we divide it by 100. In this case, 4% divided by 100 equals 0.04. Therefore, the correct answer is .04 as a decimal.
14.
Which fraction is equivalent to 12/48?
Correct Answer
D. 24/96
Explanation
The fraction 12/48 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 12. When we divide 12/48 by 12, we get 1/4. Therefore, the fraction 12/48 is equivalent to 1/4. The answer 24/96 is not equivalent to 12/48 because it has not been simplified.
15.
Solve.45 - (4x3) + 10
Correct Answer
A. 43
Explanation
The given expression is solved by following the order of operations (PEMDAS/BODMAS). First, we perform the multiplication: 4 multiplied by 3 equals 12. Then, we subtract 12 from 45, which gives us 33. Finally, we add 10 to 33, resulting in 43.
16.
Solve 7n - 9 if n = 5
Correct Answer
A. 26
Explanation
By substituting n = 5 into the expression 7n - 9, we get 7(5) - 9 = 35 - 9 = 26. Therefore, the correct answer is 26.
17.
What is the simplest form of 14/70?
Correct Answer
C. 1/5
Explanation
The simplest form of a fraction is when the numerator and denominator have no common factors other than 1. In this case, the numerator 14 and the denominator 70 can both be divided by 14, resulting in the fraction 1/5.
18.
-32 = 8n
Correct Answer
C. N = -4
Explanation
To solve the equation -32 = 8n, we need to isolate the variable n. We can do this by dividing both sides of the equation by 8. When we divide -32 by 8, we get -4. Therefore, the value of n that satisfies the equation is -4.
19.
-56/-2
Correct Answer
C. 28
Explanation
The given expression -56/-2 can be simplified by dividing -56 by -2, which gives us a result of 28. Therefore, the correct answer is 28.
20.
13 is what percent of 52?
Correct Answer
D. 25%
Explanation
To find the percentage, we need to divide the given number (13) by the total number (52) and multiply the result by 100. In this case, 13 divided by 52 equals 0.25. Multiplying 0.25 by 100 gives us 25%. Therefore, 13 is 25% of 52.
21.
A pair of jeans cost $48. They are on sale for 30% off. How much is the sale price?
Correct Answer
B. $32.00
Explanation
The sale price of the jeans can be found by subtracting 30% of the original price from the original price. In this case, 30% of $48 is $14.40. Subtracting $14.40 from $48 gives us $33.60. Therefore, the sale price is $33.60, which is closest to $32.00.
22.
Change 13/6 to a mixed number.
Correct Answer
C. 2 1/6
Explanation
To change 13/6 to a mixed number, we divide the numerator (13) by the denominator (6). The quotient is 2 and the remainder is 1. Therefore, the mixed number representation is 2 1/6.
23.
Change 4 2/5 to an improper fraction.
Correct Answer
B. 22/5
Explanation
To change a mixed number to an improper fraction, we multiply the whole number by the denominator and add the numerator. In this case, we multiply 4 by 5 and add 2 to get 22. The denominator remains the same, which is 5. Therefore, 4 2/5 can be written as the improper fraction 22/5.
24.
Which expression best represents this situation if x represents the number of students?If each student pays $5.00 for the fieldtrip, how much will be paid altogether?
Correct Answer
C. 5x
Explanation
The expression 5x best represents the situation because it represents each student paying $5.00 (5) and there being x number of students (x). By multiplying 5 and x, we can calculate the total amount that will be paid altogether.
25.
Put the numbers in order from least to greatest.1.3, 8/5, 1.03, 6/5
Correct Answer
C. 1.03, 6/5, 1.3, 8/5
Explanation
The numbers are being arranged in ascending order from least to greatest. The first number, 1.03, is the smallest among the given numbers. The second number, 6/5, is greater than 1.03. The third number, 1.3, is greater than 6/5. The fourth and final number, 8/5, is the greatest among the given numbers. Therefore, the correct order is 1.03, 6/5, 1.3, 8/5.