Free Printable Algebra I Chapter 2 Study Guide

1.

Translate the following equation into a verbal sentence.

3x - y = 5(y + 2x)

a)

Three times the difference of x and y equals five times the sum of y and two times x.

b)

Three times x less than y is five times y plus two times x.

c)

The sum of three times x and y is five times y plus two times x.

d)

Three times x minus y is five times the sum of y and two times x.

2.

Solve m - 13 = 8

a)

21

b)

-21

c)

5

d)

-5

3.

Solve 5w = -75

a)

15

b)

-80

c)

-15

d)

80

4.

Solve $-\frac{3}{8}\Upsilon\ =-24$

a)

-9

b)

9

c)

-64

d)

64

5.

Solve 5x + 3 = 23

a)

4

b)

5 1/2

c)

25

d)

15

6.

Six is subtracted from a number. The result is divided by four. This result is added to 10 to give 30. What is the number?

a)

4

b)

80

c)

86

d)

16

7.

Evaluate (2d - 3n) -4 if n=2 and d=3

a)

-8

b)

-4

c)

0

d)

4

8.

Solve (3r - 6) =21

a)

{5, -5}

b)

{9, -9}

c)

{9, -5}

d)

no solution

9.

Which ratio forms a proportion with $\frac{25}{35}$

a)

$\frac{3}{5}$

b)

$\frac{15}{21}$

c)

$\frac{24}{34}$

d)

$\frac{5}{10}$

10.

Solve the proportion 5/3c = 1/6

a)

2

b)

10

c)

30

d)

11/3

11.

Solve 2x +7 = 5x + 16

a)

-3

b)

2/3

c)

-7 2/3

d)

3

12.

Solve $\frac{2}{3}\left(6x+30\right)=x+5\left(x+4\right)-2x$

a)

6

b)

0

c)

all numbers

d)

no solution

13.

Solve -3(h-6) = 5(2h+3)

a)

-3/13

b)

3/13

c)

-9/13

d)

9/13

14.

Solve 2x-y=y for x

a)

2y-2

b)

y-2

c)

y

d)

0

15.

Find the percent of change.

Original: 80 New: 64

a)

25%

b)

20%

c)

16%

d)

10%

16.

A calculator costs $32.00. If the sales tax is 6%, what is the total price?

a)

$31.40

b)

$30.08

c)

$32.60

d)

$33.92

17.

How many liters of a 40% acid solution must be added to 12 liters of a 20% solution to obtain a 25% solution?

a)

4L

b)

1L

c)

16L

d)

4/5L

18.

Mandy begins bicycling west at 30 miles per hour at 11:00am. If Liz leaves from the same point 20 minutes later bicycling west at 36 miles per hour, when will she catch Mandy?

a)

2:00pm

b)

1:00pm

c)

1:30pm

d)

2:30pm

19.

The formula for the volume of a cone is $V=\frac{1}{3\ }\pi r^2h$ where V represents the volume, r represents the radius of the base, and h represents the height. What is the height of a cone with a volume of 66 cubic centimeters and a base with a radius of 3 centimeters?

a)

21cm

b)

69.14cm

c)

7cm

d)

0.78cm

20.

Translate the followin sentence into an equation.

The sum of twice a number x and 13 is two less than three times x.

a)

2(x+13)+3x-2

b)

2x+13=2-3x

c)

2x+13=3x-2

d)

2x+13=3(x-2)

Algebra I Chapter 2 Study Guide

Total questions: 20

Worksheet time: 40mins

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