# Math Review Preparation for Placement Test-Numerical Part

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?

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.

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?

Decimal Practice

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?

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?

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.

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

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)

1. 2
2. -15
3. 4
4. 9
5. -6
6. -3
7. 12
8. -1

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