Free Printable Units 1-12 review

1.

$Simplify:\ \left(8x^3\right)\left(-7x^4y^3\right)$

a)

$\frac{x^{12}y^3}{-56}$

b)

$\frac{x^7y^3}{-56}$

c)

$-56x^7y^3$

d)

$-56x^{12}y^3$

2.

Simplify .

a)

2x⁶y¹²

b)

2x⁵y⁷

c)

8x⁶y¹²

d)

8x⁵y⁷

3.

Simplify:

$\frac{10x^{12}y^4z^8}{15x^9y^3z^6}$

a)

$\frac{2x^3y}{3z^2}$

b)

$\frac{2x^3yz^2}{3}$

c)

$\frac{10y^2}{15x^4z^8}$

d)

$\frac{3x^3yz^2}{2}$

4.

Write the above expression in exponential form.

a)

b)

c)

d)

5.

Which TWO are equivalent to the above expression?

a)

b)

c)

d)

6.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

7.

$64^{-\frac{1}{3}}$ Simplify

a)

8

b)

1/4

c)

4

d)

-1/4

8.

3) What is the Degree of the polynomial

5a^4+7a^2-3a^9+10

a)

2

b)

4

c)

9

d)

10

9.

Find the sum.
(3y² + y³ - 5) + (4y² -4y + 2y³ + 8)

a)

3y³+ 7y²- 4y + 3

b)

4y² + 3y³ - y + 3

c)

-y⁴ + 2y³-y - 4

d)

4y³+ 3y²-3y + 1

10.

Subtract:
(3x² - 3x + 2) - (-3x² + 2x - 1)

a)

A
0x² - x + 1

b)

B
6x² - x + 1

c)

C
6x² - 5x + 3

d)

D
6x² + 5x + 3

11.

Write a linear equation in the form of y=mx+b

a)

y = -2x - 3

b)

y = 2x - 3

c)

y = 3x -2

d)

y= -3x -2

12.

Find the product:

(5c-2)(3c²-5c+4)

a)

15c³-31c⁴+30c²-8

b)

15c³-19c²+10c-8

c)

15c³-31c²+30c-8

d)

15c³-31c²+30c+8

13.

$Find\ the\ product:\ \left(6x-4\right)^2$

a)

$36x^2-24x+16$

b)

$24x^2-24x-16$

c)

$6x^2-24x-16$

d)

$36x^2-48x+16$

14.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

15.

Find the area of the shaded region

a)

35x²+28x+16

b)

25x²+88x+16

c)

35x²+88x+16

d)

25x²+28x+16

16.

a)

1

b)

2

c)

3

d)

4

17.

$3\sqrt{20}+4\sqrt{5}$ Simplify

a)

$10\sqrt{5}$

b)

$16\sqrt{5}$

c)

$7\sqrt{25}$

18.

a)

A

b)

B

c)

C

d)

D

19.

$s=\frac{\left(u+v\right)t}{2}$ Solve the equation for u

a)

$u=2s-\frac{v}{t}$

b)

$u=\frac{2s-t}{v}$

c)

$u=\frac{s}{t}+v$

d)

$u=\frac{2s}{t}-v$

20.

Which graph matches the given equation?

a)

b)

c)

d)

21.

For what value of x does f(x) = -2?

a)

x = 0

b)

x = -5

c)

x = 3

d)

x = -3

22.

Find the x intercepts:

2x² + 2x − 12 = 0

a)

x = −2, 3

b)

x = 2, 3

c)

x = 2, −3

d)

x = −2, −3

23.

Solve the inequality: -8(x - 3) - 4x < 108

a)

x > -38

b)

x > -14

c)

x > -7

d)

x < -38

24.

Solve and graph the compound inequality

a)

A

b)

B

c)

C

d)

D

25.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

26.

What are the solutions to the absolute value equation? −2|−2r − 4| = -12

a)

{3,1}

b)

{-5,1}

c)

{-3}

d)

No Solution

27.

$m^2+15m+72=18$

a)

$\left\{12,\ 6\right\}$

b)

$\left\{-9,-6\right\}$

c)

$\left\{9,6\right\}$

d)

$\left\{9,\ -6\right\}$

28.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

29.

In the equation $2\left(2b+4e\right)=-20$ solve for e.

a)

$e=-\frac{5}{2}-\frac{1}{2}b$

b)

$e=-\frac{5}{2}+\frac{1}{2}b$

c)

$e=4b-40$

d)

$e=\frac{1}{2}-\frac{5}{2}b$

30.

$\frac{x^5y^{-6}z}{x^{-3}y^{ }z^{-3}}$

a)

$\frac{x^8z^4}{y^7}$

b)

$\frac{x^2z^3}{y^5}$

c)

$\frac{x^8}{y^7z^4}$

d)

$\frac{x^2}{y^5z^2}$

31.

$\sqrt{12}+5\sqrt{18}+2\sqrt{27}$

a)

$8\sqrt{3}+15\sqrt{2}$

b)

$8\sqrt{2}+15\sqrt{3}$

c)

$25\sqrt{2}$

32.

The value of a car is $15,000 and depreciates at a rate of 8% per year. What is the decay factor?

a)

^.08

b)

^1.08

c)

.92

d)

8

33.

A population of fish starts at 8,000 and decreases by 6% per year. What is the population of fish after 10 years?

a)

14327

b)

4309

c)

839

d)

7680

34.

Suppose you deposit $3000 in a savings account that pays interest at an annual rate of 4%. If no other money is added or withdrawn from the account, how much will be in the account after 10 years?

a)

$3122.18

b)

$4994.50

c)

$4440.73

d)

$86,776.40

35.

Which function models the values in the table?

a)

$f\left(x\right)=125\left(5\right)^x$

b)

$f\left(x\right)=125\left(\frac{1}{5}\right)^x$

c)

$f\left(x\right)=125-5^x$

d)

$f\left(x\right)=125-5x$

36.

Which statement describes the end behavior of the function above?

a)

$As\ x\longrightarrow-\infty,\ y\longrightarrow+\infty$ $as\ x\longrightarrow+\infty,\ y\longrightarrow-\infty$

b)

$As\ x\longrightarrow-\infty,\ y\longrightarrow0$ $as\ x\longrightarrow+\infty,\ y\longrightarrow-\infty$

c)

$As\ x\longrightarrow-\infty,\ y\longrightarrow0$ $as\ x\longrightarrow+\infty,\ y\longrightarrow-5$

d)

$As\ x\longrightarrow-\infty,\ y\longrightarrow+\infty$

$as\ x\longrightarrow+\infty,\ y\longrightarrow0$

37.

What is the domain of this function?

a)

(-∞,2]

b)

(-∞,+∞)

c)

[2,-∞)

d)

(-4,2)

38.

What is the RANGE of the function?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

39.

What is the degree of the monomial?

2x²y³z

a)

2

b)

3

c)

1

d)

6

40.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

Units 1-12 review

Total questions: 40

Worksheet time: 2hrs 13mins

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