Free Printable Unit 2 Review

1.

Which of the following is not an equation?

a)

1 + 5 = 4

b)

7 = x² - x + 1

c)

2(3x + 1) = 6x + 2

d)

3(2x - 5) + 7

2.

Which property justifies the following step?

2x\ -\ \frac{3}{4}\ +\ \frac{3}{4}\ =\ 8\ +\ \frac{3}{4}

a)

Multiplicative Property of Equality

b)

Additive Property of Equality

c)

Distributive Property

d)

Associative Property

3.

What is the solution to the following equation?

4\left(x+\ 4\right)\ -\ 2x\ +\ 2\ =\ -6\left(x\ -\ 3\right)\ +\ 8x

a)

Infinite Solutions

b)

No Solutions

c)

x = 2

d)

x = -3

4.

The difference between twice a number and a number that is increased by 5 is 3.

Which of the following equations could be used to find the value of the number, n?

a)

2n - n + 5 = 3

b)

n - (2n + 5) = 3

c)

n + 5 - 2n = 3

d)

2n - (n+5) = 3

5.

Solve: 2(x - h) + k = 6 for x in terms of h and k.

Meaning: isolate the x

a)

3 + h - k

b)

$h\ +\ 3\ -\ \frac{k}{2}$

c)

$k\ -\ \frac{h}{2}\ +\ 6$

d)

3 - h + k

6.

Which of the following compound inequalities is false?

a)

1 > 2 or 4 < 4

b)

10 > 0 and - 3 < 9

c)

-6 < 5 or 7 > 7

d)

4 < 4 and 5 > -7

7.

If ax + b > d and a < 0 then

a)

$x\ >\ \frac{d\ -\ b}{a}$

b)

$x\ <\ \frac{d-b}{a}$

c)

$x\ <\ \frac{d}{a}\ -\ b$

d)

$x\ >\ \frac{d}{a}\ -\ b\$

8.

Which of the following represents the equivalent interval to -12 < x < 4?

a)

(-12, 4)

b)

(-12, 4]

c)

[-12, 4)

d)

[-12, 4]

9.

Translate into an inequality:

The sum of 2 consecutive integers is at least the difference between 8 times the smaller and 4 times the larger.

a)

x + x + 1 < 8x -4(x + 1)

b)

x + x + 1 > 8x - 4(x + 1)

c)

x + x + 2 < 8x - 4(x + 2)

d)

x + x + 2 > 8x - 4(x + 2)

10.

Determine if x = 4 is a solution to the following. Show your work or explain why or why not.

\frac{1}{3}\left(x\ +\ 5\right)\ =\ -\frac{2}{5}\left(x\ -\ 9\right)

4 lines

11.

Solve for x:

-2(x - 6) + 8 = 4

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12.

Solve for x:

\frac{5\left(x-3\right)}{8}+3\ =\ 7

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13.

Solve, graph and write the solution in interval notation.

-7\ \le\ \frac{1}{2}x\ -\ 5\ <\ 2\

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14.

Julio is currently 24 years older than his son. In 4 years, he will be 4 times older than his son. How old are both of them?

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15.

Find 3 consecutive odd integers such that the sum of the smaller two is three times the largest increased by 7.

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16.

Translate into an inequality and solve:

A fish tank can hold 250 gallons of water. If a hose is filling the tank at a rate of 20 gallons every 15 minutes, how many hours can the hose be left on before the tank overflows.

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Unit 2 Review

Total questions: 16

Worksheet time: 4hrs 0mins

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