Question 1

Spending $12 is represented by what integer?

Accepted Answer

−12

Question 2

Rule: When is an integer negative?

Accepted Answer

Use a negative integer for spending, loss, withdrawal, decrease, or below zero.

Question 3

What is the opposite of −8?

Accepted Answer

8

Question 4

Rule: How do you find the opposite of a number?

Accepted Answer

Change the sign.

Question 5

What is |−15|?

Accepted Answer

15

Question 6

Rule: What does absolute value mean?

Accepted Answer

Distance from 0, so the answer is never negative.

Question 7

Compare −3 and 2.

Accepted Answer

−3 < 2

Question 8

Rule: How do you compare integers?

Accepted Answer

The number farther right on the number line is greater.

Question 9

Order −5, 0, 3, and −1 from least to greatest.

Accepted Answer

−5, −1, 0, 3

Question 10

What is the GCF of 18 and 24?

Accepted Answer

6

Question 11

Rule: How do you find GCF?

Accepted Answer

List factors and choose the greatest factor the numbers share.

Question 12

What is the LCM of 4 and 6?

Accepted Answer

12

Question 13

Rule: How do you find LCM?

Accepted Answer

List multiples and choose the smallest multiple the numbers share.

Question 14

Convert 2 1/2 to an improper fraction.

Accepted Answer

5/2

Question 15

Rule: How do you change a mixed number to an improper fraction?

Accepted Answer

Multiply the whole number by the denominator, add the numerator, and keep the same denominator.

Question 16

What is the reciprocal of 3/4?

Accepted Answer

4/3

Question 17

Rule: How do you find a reciprocal?

Accepted Answer

Flip the numerator and denominator.

Question 18

What is 1/2 + 1/4?

Accepted Answer

3/4

Question 19

Rule: How do you add or subtract fractions with different denominators?

Accepted Answer

Find a common denominator, rewrite the fractions, then add or subtract the numerators.

Question 20

What is 3/4 × 2/5?

Accepted Answer

3/10

Question 21

Rule: How do you multiply fractions?

Accepted Answer

Multiply numerator by numerator and denominator by denominator, then simplify.

Question 22

What is 2/3 ÷ 1/4?

Accepted Answer

8/3 or 2 2/3

Question 23

Rule: How do you divide fractions?

Accepted Answer

Keep the first fraction, change ÷ to ×, and flip the second fraction.

Question 24

What is 2 1/2 ÷ 1/2?

Accepted Answer

5

Question 25

Rule: What comes first when dividing mixed numbers?

Accepted Answer

Change mixed numbers to improper fractions.

Question 26

What is 4.6 + 2.35?

Accepted Answer

6.95

Question 27

What is 8.2 − 3.74?

Accepted Answer

4.46

Question 28

Rule: How do you add or subtract decimals?

Accepted Answer

Line up the decimal points, add zeros if needed, then add or subtract.

Question 29

What is 1.4 × 0.6?

Accepted Answer

0.84

Question 30

Rule: How do you multiply decimals?

Accepted Answer

Multiply like whole numbers, then count the total decimal places.

Question 31

What is 6.3 ÷ 0.9?

Accepted Answer

7

Question 32

Rule: How do you divide by a decimal?

Accepted Answer

Move the decimal in the divisor to make it a whole number, and move the dividend the same way.

Question 33

What is 84 ÷ 12?

Accepted Answer

7

Question 34

What is 19.7 ÷ 4.1 about?

Accepted Answer

About 5

Question 35

Write 3 boys to 5 girls in ratio form.

Accepted Answer

3:5

Question 36

Rule: How do you write a ratio?

Accepted Answer

Keep the same order as the words.

Question 37

Is 6:10 equivalent to 3:5?

Accepted Answer

Yes, because 6:10 simplifies to 3:5.

Question 38

Find the unit rate: 120 miles in 3 hours.

Accepted Answer

40 miles per hour

Question 39

Rule: How do you find a unit rate?

Accepted Answer

Divide to find the amount for 1 unit.

Question 40

Three notebooks cost $12. What is the cost per notebook?

Accepted Answer

$4

Question 41

Complete the ratio table: 2 items cost $6, 4 items cost ____, 7 items cost ____.

Accepted Answer

$12 and $21

Question 42

Complete the proportion: 2/5 = 4/x.

Accepted Answer

x = 10

Question 43

Write 35% as a decimal.

Accepted Answer

0.35

Question 44

Rule: How do you change a percent to a decimal?

Accepted Answer

Move the decimal point two places left.

Question 45

Write 0.6 as a percent.

Accepted Answer

60%

Question 46

Write 1/4 as a percent.

Accepted Answer

25%

Question 47

What is 25% of 80?

Accepted Answer

20

Question 48

Rule: How do you find a percent of a number?

Accepted Answer

Change the percent to a decimal, then multiply by the whole.

Question 49

A $20 shirt is 10% off. What is the discount and sale price?

Accepted Answer

Discount = $2; sale price = $18.