Free Printable Grider Semester 2 Final Exam Review 2021-2022

1.

3c + 5 = 23

What is the first step to solve this equation?

a)

Add 5 to both sides

b)

Divide both sides by 3

c)

Subtract 23 from both sides

d)

Subtract 5 from both sides

2.

7x = 3x + 24

What is the first step to solve this equation?

a)

Add 24 to both sides

b)

Subtract 24 from both sides

c)

Subtract 3x from both sides

d)

Subtract 7x from both sides

3.

True or False: In order to solve the equation below, you would add 6 to each side then multiply by -8 on each side.

\frac{g}{-8}\ -6\ =\ -12

a)

true

b)

false

4.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

5.

What inequality does the number line graph represent?

a)

x ≤ -4

b)

x ≥ -4

c)

x < -4

d)

x < 4

6.

Match the graph with its inequality.

a)

a > 11

b)

a < 11

c)

a ≥ 11

d)

a ≤ 11

7.

Determine whether point A is a solution to the linear inequality that is shown.

a)

Yes

b)

No

c)

Sometimes

8.

In the equation y=mx+b,
what does m represent?

a)

Nothing in particular

b)

The y-intercept

c)

The x-intercept

d)

Slope

9.

Name the slope

a)

3

b)

1

c)

-1x

d)

-1

10.

Name the y intercept

a)

-1

b)

7

c)

-1x

d)

-7

11.

Name the slope

a)

3

b)

Zero slope

c)

Undefined

d)

1

12.

In the equation y=mx+b,
what does b represent?

a)

Slope

b)

x-intercept

c)

y-intercept

d)

Nothing significant

13.

Name the slope.

a)

Zero slope

b)

1

c)

Undefined

d)

-1

14.

When you graph x = 2 what will it look like.

a)

Horizontal line

b)

Diagonal line from bottom right to top left

c)

Vertical line

d)

Diagonal line from bottom left to top right

15.

Describe a line with a Positive slope

a)

Vertical

b)

Diagonal line from bottom left to top right

c)

Horizontal

d)

Diagonal line from bottom right to top left

16.

When you graph y = -3 what will it look like.

a)

Horizontal line

b)

Diagonal line from bottom right to top left

c)

Vertical line

d)

Diagonal line from bottom left to top right

17.

Describe a line with a Negative slope

a)

Vertical

b)

Diagonal line from bottom left to top right

c)

Horizontal

d)

Diagonal line from bottom right to top left

18.

Two vertical lines always have the some slope

a)

True

b)

False

19.

The slope of a horizontal lines is always ______________.

a)

Zero

b)

Undefined

c)

Positive

d)

Negative

20.

Ax+By=C is called what?

a)

Slope-intercept Form

b)

Point-Slope Form

c)

Standard Form

d)

Slope Form

21.

y=mx+b is what kind of form.

a)

Standard Form

b)

Point-Slope Form

c)

Slope-intercept Form

d)

Quadratic Form

22.

Which operation would you do first in the following equation?

10 - 4 ÷ 1 x 5

a)

Subtraction

b)

Division

c)

Multiplication

d)

Addition

23.

What does 3² mean?

a)

3 x 2

b)

3 x 3

c)

2 x 2 x 2

24.

True or false:
Addition ALWAYS comes before subtraction.

a)

True

b)

False

25.

3x+5y=9 is in what linear form?

a)

Slope-intercept Form

b)

Point-Slope Form

c)

Standard Form

d)

Slope Formula

26.

y=\frac{1}{2}x+2

is what linear form form?

a)

Standard Form

b)

Point-Slope Form

c)

Slope-intercept Form

d)

Slope Formula

27.

What are two solutions to x < 8?

a)

8.6, 7.9

b)

11, 16

c)

0.8, 5.9

d)

12, 7.1

28.

-8x < 48

a)

x < -6

b)

x > -6

c)

x < 6

d)

x > 6

29.

Which value of x is NOT in the solution set shown on the number line?

a)

-6

b)

-5.3

c)

-4

d)

-4.1

30.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

31.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

32.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

33.

Is this table a function or not a function?

a)

Function

b)

Not a Function

34.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

35.

Which set of values is a function?

a)

(9,5) (10,5) (9,-5) (10,-5)

b)

(3,4) (4,-3) (7,4) (3, 8)

c)

(6,-5) (7, -3) (8, -1) (9, 1)

d)

(2, -2) (5, 9) (5, -7) (1, 4)

36.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

37.

For the function f(x) = -3x + 3 find f(0).

a)

0

b)

-3

c)

3

d)

-1

38.

Evaluate f(-2) if f(x) = x²+ 3.

a)

-1

b)

1

c)

7

d)

-7

39.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

40.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

41.

Are these two lines parallel, perpendicular or neither?
y = -1/3x - 5
y = 1/3x + 2

a)

Parallel

b)

Perpendicular

c)

Neither

42.

Lesly graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

43.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

44.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

45.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

46.

The solution to a system of equations is any ordered pair that makes both equations true.

a)

TRUE

b)

FALSE

47.

Which method would be best to solve the following system:

$3x-y=3$

4x+y=6

a)

Elimination

b)

Graphing

c)

Substitution

48.

Is this system ready to use Elimination:

3x+4y=8

2y-5x=12

a)

Yes

b)

No

49.

If x = 1, then what will be the solution to the following system:

x-y=4

x+y=-2

a)

$\left(3,1\right)$

b)

$\left(1,-3\right)$

c)

$\left(1,3\right)$

d)

$\left(1,5\right)$

50.

When graphing an inequality, you use a dotted line when you use which symbol?

a)

<, >

b)

≤, ≥

51.

Which point below is part of the solution set?

a)

(5, 0)

b)

(-1, -5)

c)

(3, -5)

d)

(0, -1)

52.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

53.

Which ordered pair(s) is a solution to the given system?

a)

(5,0)

b)

(1,-3)

c)

(3,3)

d)

(2,1)

54.

Which of the following is a solution to the given system of inequalities:

a)

$\left(0,0\right)$

b)

$\left(-2,4\right)$

c)

$\left(2,-6\right)$

d)

There is no solution.

55.

Simplify

a)

$-\frac{1}{16}$

b)

$\frac{1}{16}$

c)

-16

d)

16

56.

Simplify

a)

-12

b)

12

c)

$-\frac{1}{12}$

d)

$\frac{1}{12}$

57.

What is 10⁰equivalent to?

a)

1

b)

10

c)

0

d)

100

58.

Which is greater, 2654⁰ or 5⁰?

a)

2654⁰

b)

5⁰

c)

They are the same

d)

Zero is greater

59.

Are these two equivalent: 2² = (-2)²

a)

Yes

b)

No

60.

x⁵ * x⁴

a)

x⁹

b)

x²⁰

c)

2x⁹

d)

9x

61.

3x⁴ * 6x⁶

a)

18x¹⁰

b)

9x¹⁰

c)

18x²⁴

d)

9x²⁴

62.

(8⁵)³

a)

8⁸

b)

8¹⁵

c)

8²

d)

1/8²

63.

(x⁶)³

a)

x⁹

b)

x²

c)

x⁶

d)

x¹⁸

64.

(-6xy³)(x⁴y²)

a)

-6x⁵y⁵

b)

-6x⁴y⁵

c)

6x⁵y⁵

d)

6x⁴y⁶

65.

Simplify
(4a³b²c³)⁰

a)

4a³b²c³

b)

4

c)

4a³b²

d)

1

66.

In order to multiply powers with the same base, we add their exponents.

a)

True

b)

False

67.

According to exponent rules, when we raise a power to another exponent we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

68.

When dividing powers with the same base, you _______________ the exponents.

a)

Add

b)

Subtract

c)

Multiply

d)

Divide

69.

a)

b)

c)

d)

70.

a)

b)

c)

d)

71.

Simplify the following:

\left(\frac{3x^4}{4y^5}\right)^2

a)

$\frac{6x^8}{8y^{10}}$

b)

$\frac{9x^8}{16y^{10}}$

c)

$\frac{6x^6}{8y^7}$

d)

$\frac{9x^6}{16y^7}$

72.

Classify the polynomial and give the degree:
4x² + 2x - 1

a)

Binomial, 3

b)

Binomial, 2

c)

Trinomial, 3

d)

Trinomial, 2

73.

Classify the polynomial and give the degree:
5x³y²

a)

Monomial, 3

b)

Uninomial, 3

c)

Uninomial, 5

d)

Monomial, 5

74.

What is the degree of the polynomial? 3x² + 5xy - 4x⁷y

a)

7

b)

8

c)

2

d)

3

75.

Classify the polynomial by its degree.
x² + 2x³ - 4

a)

A
binomial

b)

B
trinomial

c)

C
quadratic

d)

D
cubic

76.

Classify the polynomial by its number of terms.
4x² - 2

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

77.

Which is an example of a cubic monomial?

a)

A
x³ + 5

b)

B
x² + 3

c)

C
x² + 5x - 6

d)

D
5x³

78.

Terms in a polynomial are separated by what?

a)

A
Parenthesis

b)

B
Multiplication/
Division

c)

C
Constants

d)

D
Addition/
Subtractraction

79.

What is the leading coefficient of this polynomial?

a)

8

b)

-4

c)

-1

d)

1

80.

Simplify the expression $-6k+7k$ .

a)

$k$

b)

$-k$

c)

$13k$

d)

$-13k$

81.

Simplify the expression:. $n-10+9n-3$

a)

$-3$

b)

$9n-3$

c)

$n$

d)

$10n-13$

82.

Simplify the expression $12r-8-12$ .

a)

$8$

b)

$12r+4$

c)

$12r-20$

d)

$-8$

83.

Which of the following expressions are monomials? Choose all correct answers.

a)

$x^3+x^2+1$

b)

$3x^2y^4$

c)

$-100m^4n^3o^4p$

d)

$2x$

84.

True or False? Only like terms can be multiplied.

a)

True

b)

False

85.

True or False? Only like terms can be subtracted.

a)

True

b)

False

Grider Semester 2 Final Exam Review 2021-2022

Total questions: 85

Worksheet time: 21hrs 15mins

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