Free Printable Final Exam Review

1.

Solve for y in the following equation:

y - 33 = 147

a)

y = 114

b)

y = 177

c)

y = 180

d)

Answer not Given

2.

What do you need to do to both sides to isolate the variable?

$16\ =\ \frac{k}{11}$

a)

Divide both sides by 11

b)

Subtract 11 from both sides

c)

Multiply both sides by 11

d)

Add 11 to both sides

3.

What is the solution of 42 = 7f?

a)

294

b)

35

c)

49

d)

6

4.

What is the first step in solving the following equation? $3x-5=20$

a)

multiply both sides by 5

b)

add 5 to both sides

c)

divide both sides by 5

d)

subtract both sides by 5

5.

What is the first step in solving this equation? $\frac{x-4}{2}=8$

a)

adding 4 to both sides

b)

subtracting 4 from both sides

c)

multiplying both sides by 2

d)

dividing both sides by 2

6.

Solve for x.

$9x-7=-7$

a)

4

b)

0

c)

5

d)

-1.56

7.

Solve the equation.

$7x+12=103$

a)

13

b)

84

c)

91

d)

8

8.

Solve the equation:

3x + 2(4x - 4) = 3

a)

4

b)

3

c)

2

d)

1

9.

What is the solution to this equation?

a)

one solution

b)

no solution

c)

infinite solutions

d)

none of these

10.

Solve the equation:

3x + 15 = 3(x + 5)

a)

No Solution

b)

x = 15

c)

Infinitely Many Solutions

11.

2x - 3 + 4x = 27

a)

12

b)

4

c)

5

d)

15

12.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

13.

When graphing an inequality, you use an open dot when you use which symbols?

a)

<, >

b)

≤, ≥

14.

10 < 3x + 19

a)

x < 3

b)

x > 3

c)

x < -3

d)

x > -3

15.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

16.

Which figure shows the inequality x > -4?

a)

Figure 1

b)

Figure 2

c)

Figure 3

d)

Figure 4

17.

ax + c = R
(solve for x)

a)

ax = R + c

b)

ax = R - c

c)

x = a(R-c)

d)

x = (R-c) / a

18.

Write an inequality: There must be at least 20 club members present to hold a meeting.

a)

m > 20

b)

m < 20

c)

m ≤ 20

d)

m ≥ 20

19.

Write an inequality: The maximum speed allowed on Main Street is 25 mph.

a)

s < 25

b)

s > 25

c)

s ≥ 25

d)

s ≤ 25

20.

Solve for x. Does the inequality sign flip?

-5x + 12= 35

a)

Yes

b)

No

21.

Solve for x. Do I need to flip my sign?

3x ≥ 12

a)

Yes

b)

No

22.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

23.

Is the relation a function?
{(4,5), (4,-7), (4,2), (4,0), (4,9)}

a)

Yes

b)

No

24.

Is this table a function or not a function?

a)

Function

b)

Not a Function

25.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

26.

Given f(x) = 3(6 -x), what is the value of f(-8)

a)

-42

b)

6

c)

-6

d)

42

27.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}
R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D: {0, 1, 2, -4}
R: {1, -3, -4, 1}

28.

Which relation does the mapping show?

a)

{(0, 1), (1, 2),(3, 4)}

b)

{(1, 0), (2, 1), (2, 2), (4, 3)}

c)

{(0, 1), (1, 2), (2, 2), (3, 4)}

d)

{(1, 0), (2, 1), (4, 3)}

29.

Which is the set of all y-values or the outputs?

a)

Domain

b)

Range

c)

Relation

d)

Function

30.

What is the domain of a relation?

a)

the set of all x-values

b)

the set of all y-values

31.

Slope is know as rise over

a)

run

b)

fall

c)

none

d)

rise

32.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

33.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

34.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

35.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

36.

What type of slope?

a)

negative

b)

steep

c)

undefined

d)

zero slope

37.

What type of slope?

a)

undefined

b)

positive slope

c)

negative slope

d)

zero slope

38.

What is the equation of the line graphed?

a)

y = 0

b)

y = 1

c)

y = 2

d)

x = 1

39.

What is the equation of this line?

a)

x=5

b)

y=5

c)

y=5x

d)

x=-5

40.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

41.

What is the slope of the line with the equation
$y\ =\ -\frac{3}{2}x\ +\ 4$

a)

$-\frac{3}{2}$

b)

$\frac{3}{2}$

c)

$4$

d)

$-4$

42.

What is the y-intercept of the line with the equation
$y\ =\ -2x\ +\ 4$

a)

$-2$

b)

$2$

c)

$4$

d)

$-4$

43.

Graph the line with the equation
$y\ =\ -\frac{2}{3}x\ +\ 4$

a)

b)

c)

d)

44.

Graph the line with the equation
$y\ =\ -\frac{1}{3}x\ -\ 4$

a)

b)

c)

d)

45.

Write equation of a line in point slope form that passes through (3, -8) and has a slope of 5?

a)

y+8 = 5(x - 3)

b)

y-8 = 3(x - 5)

c)

y-3=5(x-8)

d)

y-8 = 5(x + 3)

46.

Find the Point and Slope of the equation y - 10 = -2 (x - 7)

a)

m = -2

(-7, -10)

b)

m = 2

(10, 7)

c)

m = -10

(-2, 7)

d)

m = -2

(7, 10)

47.

Find the x and y intercepts 4x - 5y = 40

(Hint: use the cover-up method!)

a)

x intercept is 10
y intercept is 8

b)

x intercept is 10
y intercept is 20

c)

x intercept is 8
y intercept is 10

d)

x intercept is 10
y intercept is -8

48.

Write the following equation in slope-intercept form:
4x - 3y = 12

a)

y = -4/3x + 3

b)

y = -4x + 12

c)

y = 4/3x - 4

d)

y = 4/3x - 12

49.

Identify the transformation: f(x) = g(x - 3)

a)

Left 3 units

b)

Right 3 units

c)

Up 3 units

d)

Down 3 units

50.

Identify the transformation: f(x) = g(x) + 3

a)

Left 3 units

b)

Right 3 units

c)

Up 3 units

d)

Down 3 units

51.

f(x) = g(-x)

a)

Left 1 unit

b)

Reflect over x-axis

c)

Reflect over y-axis

d)

Down 1 unit

52.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

53.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

54.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

55.

Solve the system of equations by substitution.

y = 4x+1

3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

No solution

56.

Solve the system by elimination.

-4x - 2y = -12

4x + 8y = -24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

57.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

58.

If the inequality symbol is $\le$ or $\ge$ , the line will be ___________.

a)

solid

b)

dotted

59.

If the inequality symbol is $<$ or $>$ , the line will be _________.

a)

solid

b)

dotted

60.

If the inequality symbol is $>$ or $\ge$ you shade ________.

a)

above

b)

below

61.

If the inequality symbol is $<$ or $\le$ you shade ________.

a)

above

b)

below

62.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

D

63.

Which of the following equations match the given graph?

a)

y ≥ 2/5x + 1

b)

y ≥ -2/5x + 1

c)

y≤ 2/5x + 1

d)

y ≥ -2/5x - 1

64.

Select the graph for 5x+ y ≤ -1 .

a)

A

b)

B

c)

C

d)

D

65.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

66.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

67.

Graph x < - 3

a)

b)

c)

d)

68.

Simplify (2m⁴)(5m²)

a)

10m⁶

b)

10m⁸

c)

7m⁶

d)

7m⁸

69.

Simplify the expression.
x⁴ (x¹²)

a)

x³

b)

x⁴⁸

c)

x¹⁶

d)

x⁸

70.

Simplify the following expression:

(xyz)⁰ =

a)

0

b)

1

c)

xyz

d)

-1

71.

Evaluate using the quotient rule:

a)

a⁸b¹³

b)

a²b⁷

c)

a¹⁵b³⁰

72.

Simplify: $\frac{9h^6}{3h^3}$

a)

$3h^9$

b)

$3h^{3\ }$

c)

$3h^{18}$

d)

$h^{3\ }$

73.

Simplify using your exponent rule(s) x⁻⁶

a)

1 ⁄ x⁶

b)

x⁶

c)

-x⁶

d)

-1 ⁄ x⁶

74.

Simplify: $\left(3x^5\right)^6$

a)

$18x^{30}$

b)

$729x^{11}$

c)

$3^6x^{30}$

d)

$729x^{30}$

75.

Simplify: 7p⁰

a)

7

b)

1

c)

simplified

d)

7p

76.

A restaurant sells pizza for the prices in the data table. Calculate the linear regression equation of the data.

a)

y = 1.5x + 12

b)

y = 12x + 1.5

c)

y = 0.67x - 8

d)

y = -8x + 0.67

77.

Number of shoes I own

vs.

money in my bank account

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

78.

Hours in the mall vs. how much I want a pretzel from Auntie Anne's

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

79.

How tall a person is and how fast they drive

a)

Positive Correlation

b)

Negative Correlation

c)

No Correlation

80.

you made it to the end? Bro....

a)

You got this!

b)

Your brain is fried

c)

You will pass my class

d)

You are not mad at me for this final

Final Exam Review

Total questions: 80

Worksheet time: 3hrs 40mins

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