Free Printable EOC Review Unit 1-5

1.

The graph above represents the allowance that Stefin and Daniel receive every week. If the x-axis represents the number of weeks and the y-axis represents the earnings ($), what is the amount of earnings that both boys will have the same?

a)

$4

b)

$2

c)

$6

d)

$8

2.

What is the solution to this system of equations? Solve by substitution or graphing.

a)

(7, -8)

b)

(-7, 8)

c)

(-7, -8)

d)

(7, 8)

3.

The solution (x, y) to a system of equations is the point where they...?

a)

Run off the graph

b)

Don't touch

c)

Intersect

d)

Exist

4.

If f(x) = 2x + 1, find f(1).

a)

f(1) = 1

b)

f(1) = 4

c)

f(1) = 0

d)

f(1) = 3

5.

If I know that f(2) = 4, what is another way I can write my answer?

a)

2,4

b)

(2, 4)

c)

That is the only way to write it.

6.

Perform the indicated operation.

a)

b)

c)

d)

7.

Perform the indicated operation.

a)

b)

c)

d)

8.

Perform the indicated operation and evaluate for the given value.

a)

b)

c)

d)

9.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

10.

Factor
x²-16x + 48

a)

(x - 12)(x - 4)

b)

(x + 6)(x - 8)

c)

(x + 12)(x - 4)

d)

(x -16)(x - 3)

11.

Factor:
x²-15x + 36

a)

(x - 18)(x + 2)

b)

(x - 12)(x - 3)

c)

(x - 12)(x + 3)

d)

(x + 18)(x - 2)

12.

x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

13.

What are the factors of
25x² - 81?

a)

(5x - 9)(5x + 9)

b)

(5x - 9)(5x - 9)

c)

(5x + 9)(5x + 9)

d)

Cannot be factored

14.

Factor completely: x²-6x+8

a)

(x-2)(x-4)

b)

(x-1)(x-8)

c)

(x+2)(x+4)

d)

(x+1)(x+8)

15.

What is the vertex?

a)

(-3, 0)

b)

(3, 0)

c)

(0, 18)

d)

(18, 0)

16.

Find the vertex

a)

(2, -2)

b)

x = 2

c)

(-2, 2)

d)

(0, 4)

17.

Which function has an axis of symmetry of x = 0?

a)

b)

c)

d)

None of the above

18.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

19.

What is the significance of the ordered pair (0, -2) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

20.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

21.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

22.

Use the graph to determine the X-intercepts

a)

(-1,0) and (-3,0)

b)

(1,0) and (3,0)

c)

(0,1) and (0,3)

d)

(0,-1) and (0,-3)

23.

Which is a zero of the graph?

a)

0

b)

-1

c)

1.5

d)

-3

24.

Use the given function or the graph to find the average rate of change

a)

3

b)

-3

c)

3/2

d)

-1/3

25.

What is the average rate of change from x=0 to x=1

a)

-3

b)

3

c)

0

d)

2

26.

An astronaut drops a rock off the edge of a cliff on the Moon. The distance, d(t), in meters, the rock travels after t seconds can be modeled by the function $d\left(t\right)=0.8t^2$ . What is the average speed, in meters per second, of the rock between 5 and 10 seconds after it was dropped?

a)

12

b)

20

c)

60

d)

80

27.

(2x³ - 5x² + 3x + 7) ÷ (x - 2)

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/x-2

d)

2x² - 9x - 15 - 23/x-2

28.

(3x³ + 5x - 1) ÷ (x + 1)

a)

3x³ - 3x² + 8x - 9

b)

3x² - 3x + 8 - 9/x+1

c)

3x² + 3x + 8 + 7/x+1

d)

3x³ + 3x² + 8x + 7

29.

What is the remainder of (4x³ - 3x² - 4x +2) ÷ (x - 3)?

a)

-71

b)

71

c)

145

30.

What is the remainder of (x³ - 5x² - 8x +1) ÷ (x + 1)?

a)

-13

b)

1

c)

3

31.

Simplify

a)

A.(x+7)/(x-4)

b)

B.-3/4

c)

C.(x+3)/(x+4)

d)

D.(x+3)/(x-4)

32.

Simplify

a)

(x-9)/(x+9)

b)

1/(x-9)

c)

(x+9)

d)

1/(x+9)

33.

Divide and Simplify

a)

A

b)

B

c)

C

d)

D

34.

Perform the operation

a)

A

b)

B

c)

C

d)

D

35.

Given the sum

$\frac{3x}{x+2}+\frac{6x+1}{\left(x+2\right)\left(x-5\right)}$

What is the LCD (lowest common denominator)?

a)

$\left(x+2\right)\left(x+2\right)\left(x-5\right)$

b)

$\left(x+2\right)\left(x-5\right)$

c)

$x-5$

d)

$x+2$

36.

Given

\frac{\left(x+1\right)\left(x-7\right)}{\left(x-4\right)\left(x+3\right)}

What values will make the rational expression UNDEFINED?

a)

$x=-1,\ x=7$

b)

$x=-1,\ x=4,\ x=7,\ x=-3$

c)

None

d)

$x=4\ ,\ x=-3$

37.

Simplify $\frac{x^2+x-30}{2x-10}$

a)

$x+3$

b)

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

c)

$\frac{x+6}{2x-2}$

d)

$\frac{x+6}{2}$

38.

$\frac{x^2+10x+25}{x^2-9}\cdot\frac{x^2+3x}{x+5}=$

a)

$\frac{x\left(x+5\right)}{x+3}$

b)

$\frac{x\left(x-5\right)}{x-3}$

c)

$\frac{x\left(x+5\right)}{x-3}$

d)

$\frac{x\left(x-5\right)}{x+3}$

39.

Re-write the expression in radical form.
x^2/3

a)

∛x²

b)

√x³

c)

(1/x)

d)

∛x

40.

What is the value of 27^⅓?

a)

27

b)

9

c)

3

d)

1/3

41.

Simplify:

a)

2

b)

8

c)

16

d)

32

42.

Write the expression in exponential form:
√23

a)

23^1/2

b)

23^-1/2

c)

23²

d)

23^-2

43.

Write the expression in exponential form:
∛x²

a)

x^3/2

b)

x^2/3

c)

x^1/2

d)

x^1/3

44.

Simplify the expression:
3^1/2 * 27^1/2

a)

9

b)

81

c)

3

d)

1/3

45.

a)

4^4/3

b)

4^3/4

c)

2^4/3

d)

2^3/4

46.

Solve for x.
$\sqrt{x}=5$

a)

-1

b)

-3, 25

c)

-25

d)

25

47.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

48.

$\sqrt{x+9}=4$

a)

x = 7

b)

x = -1

c)

x = -7

d)

x = 17

49.

Solve for x.
$\sqrt{x\ +3}=2$

a)

2

b)

5

c)

1

d)

-2

50.

a)

x = -6

b)

x = 3

c)

x = -3

d)

x = 5±

51.

Solve for x. $\sqrt{9x-2}=\sqrt{3x+10}$

a)

x = 2

b)

x = -2

c)

x = 4

d)

No Solution

EOC Review Unit 1-5

Total questions: 51

Worksheet time: 3hrs 49mins

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