7. Applications

a.) Mr. Robinson drove from Los Angeles to Chicago. He drove 420 miles on

Monday, 365 miles on Tuesday, and 382 miles on Wednesday. If the total distance

is 1850, how much further does he have to drive?

b.) Write down 4617, multiply it by 12, divide the product by 9, add 365 to the

quotient , and subtract 5521 from the sum. What is the result?

c.) What number multiplied by 86 will give the same product as 163 multiplied by

430?

d.) The first of four numbers is 3125, the second is greater than the first by

5108, the third is equal to the sum of the first and the second, and the fourth
is

equal to the sum of the third and the first. What is the sum of the four
numbers?

e.) The diameter of Mercury is 2967 miles, the diameter of Saturn is 24 times

that of Mercury, and the diameter of the Sun is 12 times that of Saturn. What is

the Sun’s diameter?

f.) How many 16-inch long boards can be cut from a board that is 15 feet long?

g.) How many hours are there in one year?

**Answers to Whole Number Practice**

**Integer Practice**

**Answers to Integer Practice**

** Fraction Practice **

1. Reduce each fraction to lowest terms .

2. Write each improper fraction as a mixed number.

3. Write each mixed number as an improper fraction.

4. Add. Reduce your answers.

5. Subtract. Reduce your answers

6. Multiply. Reduce.

7. Divide. Reduce

8. Applications

a.) Fred Thompson worked hours of overtime
on Monday, hours on

Wednesday, hours on Friday, and
hours on Saturday. If overtime

pay is $22 per hour, what did Fred receive in overtime pay?

b.) The parents of Harper Junior High School choir members are making robes

for the choir. Each robe requires yards of
material at $8 per yard.

How much will 24 choir robes cost?

c.) A fifteen-foot board is cut into foot
long pieces for a bookcase. After

as many pieces are cut, how long is the remaining piece?

**Fraction Practice Answers**

** Decimal Practice **

1. Add or Subtract

a. 3.682 + 9.81 + 0.036

b. 87 + 1.042 + 19.876 + 8.6

c. 69.68 – 27.466

d. 39 – 18.46

2. Multiply

a. 0.074 x 0.81

b. 3.18 x 12

c. 89.11 x 0.0001

3. Divide

a. 35.4 ÷ 6

b. 3.8 ÷ 1.7 Round to 2 decimal places.

c. 0.52 ÷ 0.074 Round to 2 decimal places

4. Write as a decimal. Round to two places .

5. Write as a fraction or mixed number.

a. 0.45

b. 0.025

c. 13.032

6. Applications

a. Nancy buys a shirt for $41.95 and a blouse for $29.95. How much change

will she receive from four $20 bills?

b. Lynn had $43.91 in her checking account at the beginning of the month.

During the month, she made deposits of $100 and $312.45. She wrote

checks for $174.95, $114.25, $81.11, $30, and $9.50. What is the balance

at the end of the month?

c. Lean ground round cost $3.29 per pound. What will a package weighing 1.81

pounds cost to the nearest cent?

**Decimal Practice Answers**

**Ratios, Rate, and Proportion Practice**

1. a. Write the ratio
in simplest form .

b. Write as a ratio in simplest terms 2 feet 2 inches to 1 yard.

c. Write as a rate: 175 miles in 4 hours.

2. Determine if each proportion is true or false.

3. Solve the proportions

4. Applications

a. Which is the better buy in dish detergent, 20 ounces for $1.39 or 12

ounces for $0.89?

b. If Jane can make 3 pairs of curtains from 10 yards of material, how

much material is needed for 4 pairs of curtains?

c. Stan can jog 2.5 miles in 22.5 minutes. At that rate, how long will it

take him to jog 8 miles?

**Ratio, Rate, and Proportion Practice Answers**

**Percent Practice**

1. Write as a fraction.

a. 6%

b. 40%

c. 175%

2. Write as a decimal.

a. 56%

b. 3.2%

c. 560%

3. Write as a percent.

3. Solve the proportion.

a. What is 10.7% of 485?

b. 26% of 19.5 is what?

c. 5 is what percent of 2000?

d. What percent of 12 is 24?

e. 4.8 is 15% of what?

f. 78% of what is 3.9?4. Applications

a. If the interest rate of a charge card is
on the unpaid balance

and your unpaid balance this month is $312, how much interest will

you pay this month?

b. If the baseball team wins 78 of the 114 games that it plays, what

percent has it lost?

c. Jenkins Appliance has a washing machine regularly priced at $350 on

sale for $297.50. What is the discount rate?

d. Susan borrowed $500 for 6 months at an annual rate of 21%. How

much interest did she pay on this loan?

**Percent Practice Answers**

**Measurement Practice**

1. Convert the following American Measurements

a. 2.5 ft. = ______in.

b. 42 oz. = ______lb.

c. 18 pt. = ______gal.

2. Perform the following operations.

a. 3 ft. 9 in. + 5 ft. 6 in.

b. 3 hr. 20 sec. – 1 hr. 37 min. 43 sec.

c. 5 lb. 6 oz. x 8

d. Find the quotient 7lb. 5 oz. and 3

3. Convert the following metric measurements.

a. 0.450 g. = ______mg.

b. 0.37 cm. = ______m.

c. 4 kg. 5 dag.= _____g.

**Measurement Practice Answers**

**Powers, Roots, and Order of Operations Practice **

1. Evaluate the following powers.

2. Evaluate the following roots .

3. Evaluate the following

**Powers, Roots, and Order of Operations Practice Answers**

**Translating Expressions Practice **

Translate each of the following.

1. 9 less than a number

2. 4 times a number, plus 9

3. 9 diminished by 4 times a number

4. one-fourth of a number

5. 9 times a number, decreased by 4

6. 4 more than 9 times a number

7. 9 times a number, increased by 4 times the number

8. 2 times a number, increased by 8

9. 2 times the sum of a number and 8

10. 3 more than 8 times a number

11. 8 times the sum of a number and 3

12. 3 times the sum of a number and 8

13. two-thirds of a number

14. 3 times the sum of twice a number and 8

**Translating Expressions Practice Answers**

**Solving Linear Equations Practice**

Solve the following equations.

1. 3(5x – 4) = 8x + 2

2. 9(n + 3) = 7n – 3

3. 2(10 – 6x) = x – 8x

4. 5a + 4(3a - 8) = 4 + 13a

5. 2y + 18 = 12 – 6(y + 7)

6. x – (5 – 3x) = 7x + 4

7. 8(m – 5) = 2(3m – 8)

8. -4(3 – 6d) = 9(2d – 2)

**Solving Linear Equations Practice Answers**

1. 2

2. -15

3. 4

4. 9

5. -6

6. -3

7. 12

8. -1