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Unit 2 Review - Algebra 1

Total questions: 26

Worksheet time: 7hrs 30mins

Name
Class
Date
1.

Solve.


4x - 14 = 6

a)

2

b)

4

c)

5

d)

8

2.

Solve.

 11 = x6 + 911\ =\ \frac{x}{6}\ +\ 9  

a)

3

b)

4

c)

8

d)

12

3.

Solve.


-7a + 12 > 26

a)

a > 2

b)

a < -2

c)

a > -2

d)

a < 2

4.

Solve.

3 (x - 4) = 3x + 17

a)

-2

b)

36

c)

No solution

d)

Infinite Solutions

5.

Solve.


5 (k + 6) = 3 (k + 8)

a)

-3

b)

-1

c)

5

d)

22

6.

Solve.


4y - 3 < 21

a)

y < -7

b)

y > -2

c)

y < 4

d)

y < 6

7.

Solve.


7x + 21 + 2x = 3 ( 3x + 7)

a)

0

b)

9

c)

No Solution

d)

Infinite Solutions

8.

Solve.


4 (-3x - 5) > 16

a)

x > -3

b)

x < -3

c)

x > -12

d)

x < -12

9.

Find the value of x for the triangle. (Remember: the sum of the angles of a triangle equals 180.)

a)

4

b)

5

c)

6

d)

7

10.

The length of a swimming pool is 3 feet less than 2 times its width. The perimeter of the pool is 66 feet. Find the width and the length.

a)

Width = 8 feet, Length = 25 feet

b)

Width = 10 feet, Length = 23 feet

c)

Width = 12 feet, Length = 21 feet

d)

Width = 14 feet, Length = 19 feet

11.

Each side of an equilateral triangle is 2x - 4. Each side of a square is x + 2. The perimeters are equal. Find x.

a)

4

b)

6

c)

8

d)

10

12.

John mows lawns. He can mow 7 lawns in 5 hours. At this rate, how long would it take John to mow 42 lawns?

a)

15 hours

b)

21hours

c)

30 hours

d)

35 hours

13.

Solve.

 x3 = 86\frac{x}{3}\ =\ \frac{8}{6}  

a)

4

b)

6

c)

8

d)

10

14.

Solve.

 38x = 216\frac{3}{8x}\ =\ \frac{2}{16}  

a)

2

b)

3

c)

4

d)

8

15.

Translate the verbal expression into an algebraic expression.


"Eight less than the quotient of a number and 12."

a)

8 - 12x

b)

8x - 12

c)

x128\frac{x}{12}-8

d)

8x128-\frac{x}{12}

16.

Which is NOT a solution to 7x - 5 < 9x - 1

a)

-3

b)

-2

c)

-1

d)

0

17.

Solve and graph.


8 - 3x + 2 < -5

a)

x < 5 open circle, color to the left

b)

x < 5 closed circle, color to the left

c)

x > 5 open circle, color to the right

d)

x > 5 closed circle, color to the right

18.

What property is being used?


3 (x - 5) = 3x - 15

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

e)

Distributive Property

19.

What property is being used?


8x + 12 -12 = 15 -12

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

e)

Distributive Property

20.

What property is being used?


5x + 2x - 23 = -2x + 2x - 18

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

e)

Distributive Property

21.

What property would you use to get from 2x = 18 to x = 9?

a)

Addition Property

b)

Subtraction Property

c)

Multiplication Property

d)

Division Property

e)

Distributive Property

22.

What equation can be used to solve the following problem?


If you can walk 2 miles in 42 minutes, How far could you walk in 105 minutes? (Assuming you could walk at the same pace.)

a)

242=105x\frac{2}{42}=\frac{105}{x}

b)

422=x105\frac{42}{2}=\frac{x}{105}

c)

242=x105\frac{2}{42}=\frac{x}{105}

d)

2x105=42x15\frac{2x}{105}=\frac{42x}{15}

23.

Is this a function?

a)

Yes, it is a function.

b)

No, it is NOT a function.

c)

Unable to tell.

24.

Is this a function?

a)

Yes, it is a function.

b)

No, it is NOT a function.

c)

Unable to tell.

25.

Is this a function?

a)

Yes, it is a function.

b)

No, it is NOT a function.

c)

Unable to tell.

26.

What is the RANGE of the graph?

a)

-3 < x < 4

b)

-2 < y < 3

c)

-2 < x < 3

d)

-3 < x < 2