Math 201 Review Unit

Round/Metric/Algebra

100

Round the following numbers to the nearest tenth and nearest ten.

a. 256.88

b. 372.706

c. 625.9

d. − 29.215

a. 256.9, 260

b. 372.7, 370

c. 625.9, 630

d. -29.2, -29

200

Round the monetary amount $93.962 to the nearest dollar and to the nearest cent

a. $94

b. $93.96

300

convert 0.015 mm to m

a. .000015m

400

convert 231.5 hg to cg

2315000 cg

500

Solve the equation.

9x + 7 = 7x + 33

x =13

Decimals

100

Write as a fraction in lowest terms.

0.86

43/50

200

Write each of the following as a common fraction.

a. 1.75

b. 0.85

a. 7/4

b. 17/20

300

Write each of the following as a common fraction.

a. 0.0003 

b. 0.026

a. 3/10000

b. 13/500

400

Express the given decimal as a percentage and as a reduced fraction.  0.55

a.  What is the percentage form of 0.55?

b. What is the reduced fraction form of 0.55?

a. 55%

b. 11/20

500

Express the given decimal as a percentage and as a reduced fraction.   1.84

a. What is the percentage form of 1.84?

b. What is the reduced fraction form of 1.84?

a. 184%

b. 46/25

Fractions

100

Evaluate the following expressions.(Type an integer or a simplified fraction.)

a. 5/9 X 3/4

b.  4/6 X 1/2

a. 5/12

b. 1/3

200

Express the given fraction as a decimal and a percentage.

a.  3/8

.375

37.5%

300

Convert the following fractions to decimal form. (Round to the nearest thousandth as needed.)

a.  2/7

b.  11/13

a. .286

b. .846

400

Convert the following fractions to decimal  and percentage form. (Round to the nearest thousandth as needed.)

a. 1/11

b. 29/9

a. .091, 9.091%

b. 3.222, 322.222%

500

Convert the following fractions to decimal and percentage form. (Round to the nearest tenth as needed.)

a. 11/45

b. 49/92

c. 4/15

a. .2, 24.4%

b. .5, 53.3%

c. .3, 26.7%

Percents/ Ratio

100

Express the given percentage as a reduced fraction and as a decimal.

20%

1/5

.2

200

Maria's company has 909 employees, Ruth's company has 788 employees. 909 is what percent of 788? Round to the nearest tenth of a percent.

A. 86.7%

B. 115.4%

C. 0.1%

D. 1.2%

b. 115.4%

300

Compare A and B in three ways, where A =1.5 million is the 2012 population of city X and B =2.6 million is the 2012 population of city Y.

a. The ratio of A to B is _______.  (Type an integer or decimal rounded to two decimal places as needed.)

b. The ratio of B to A is ______.    (Type an integer or decimal rounded to two decimal places as needed.)

c. A is ______   percent of B.  (Round to the nearest integer as needed.)

a. .58 to 1

b. 1.73 to 1

c.  58%

400

Jack and Jane went on a 140 mile bike tour with their club.  On the first day they traveled 28 miles. What percent of the total distance did they travel on the first day?

a. 20%

b. .2%

c. 500%

d. 5%

a. 20%

500

An antique store claims that of its 4538 items in inventory, 4116 items are plain junk, while the rest are antiques.  What percent of total inventory is antiques? Round to the nearest tenth of a percent.

A. 10.8%

B. 0.9%

C. 9.3%

D. 90.7%

c. 9.3%

Powers/Roots

100

Simplify the following expression.

5⁷ ÷ 5³

5⁷ ÷ 5³ = (Type an integer or a simplified fraction.)

5⁴ = 625

200

Evaluate the following expression.

64^1/2

a. 64^1/2  is a real number.  64^1/2 =

b. 64^1/2  is a not real number.  64^1/2 =

a. a. 64^1/2  is a real number.  64^1/2 = 8

300

Evaluate the following expressions.

a. 10⁷ X 10⁵

b. 10⁴ X 10^-2

c. 10⁹ / 10⁴

d. 10^-8 / 10³

a. 10¹²

b. 10²

c. 10⁵

d. 10^-11

400

Evaluate the following expressions.

a. 10²¹ X 10¹⁵

b. 10¹ + 10²

c. 10⁵ + 10^-3

d. 10⁵ - 10³

 

a. 10³⁶

b. 10 + 100 = 110

c. 100,000 + 1/1,000 = 100,000 + .001 =        100000.001

d. 100,000 - 1,000 = 99,000

500

Simplify by first writing the expression in radical form. If applicable, use a calculator to verify your answer.

125^{- 1/3}

125^{- 1/3 =}                 (Type a simplified fraction or a decimal.)

 1 / 125^1/3  = 1/5 =  .2