Free Printable 8th Grade Honors Algebra 1 Semester Exam Review 2022

1.

Which inequality is equivalent to the one shown?

a)

x < 0.64

b)

x > 0.64

c)

no solution

d)

All Real Numbers

2.

Which equation matches the graph shown?

a)

y = -2x + 3

b)

y = 2x - 3

c)

y = -2x - 3

d)

y = 2x + 3

3.

What is the solution to the equation:
-5(1-5x)+5(-8x-2)=-4x-8x

a)

x=0

b)

x=1

c)

x=-1

d)

Cannot be determined

4.

Solve: 5p − 7 + 6p = −18

a)

16

b)

all real numbers

c)

10

d)

−1

5.

Solve: 81 = −7 − 8(x − 3)

a)

−12

b)

−8

c)

−5

d)

14

6.

Solve for x: z = mx + y

a)

x = mz - my

b)

x = (z - y) ∕ m

c)

x = m ∕ (−z − y)

d)

x = (z + y) ∕ m

7.

Which inequality represents the following graph:

a)

x > −2

b)

x ≥ −2

c)

x < −2

d)

x ≤ −2

8.

Solve: 3(4x − 3) ≥ −45

a)

b)

c)

d)

9.

Determine the slope of the line:

a)

4/5

b)

−4/5

c)

5/4

d)

−5/4

10.

Determine the slope of the line shown in the graph above.

a)

5

b)

−5

c)

0

d)

undefined

11.

Find the slope between the following points: (−9, 6) and (−8, −1)

a)

1/7

b)

−1/7

c)

−7

d)

7

12.

Determine the slope of the line shown in the graph above.

a)

8

b)

−8

c)

0

d)

undefined

13.

Graph the equation: 2x − y = 4

a)

b)

c)

d)

14.

Which equation represents the graph above?

a)

y = 2/3x + 2

b)

y = 3/2x + 2

c)

y = −2/3x + 2

d)

y = 2x + 2/3

15.

Which expression is equivalent to

\left(x^2-3x+1\right)-\left(x^2+2x+7\right)

a)

$2x^2-x+8$

b)

$-x+8$

c)

$x-6$

d)

$-5x-6$

16.

Which of the following correctly solves the equation

$dx+fy=g$ for x?

a)

$dx=g-fy$

b)

$x=d\left(g-fy\right)$

c)

$x=\frac{g}{d}-fx$

d)

$x=\frac{g-fy}{d}$

17.

What is the y-intercept of the line $-3x+4y=-12$ ?

a)

4

b)

-3

c)

0

d)

-12

18.

Translate: "Twice the quantity of "a" decreased by 6".

a)

2-(a-6)

b)

2(a-6)

c)

(6-a)2

d)

2(a)-6

19.

$4x-3\left(x+2\right)=-13$

What is the solution to the above equation?

a)

-11

b)

-7

c)

3

d)

1

20.

Simplify:
(5x² +x - 3) - (2x² +3x + 6)

a)

3x² - 2x - 9

b)

-7x² - 4x - 9

c)

3x² + 2x + 9

d)

7x² - 2x - 6

21.

Multiply:
( x - 3 )( x - 7)

a)

x² - 10x + 21

b)

x² + 10x - 21

c)

x² - 4x - 21

d)

x² - 4x + 21

22.

What number line best represents
$\frac{x}{5}-3\ \le-2\ ?$

a)

A

b)

B

c)

C

d)

D

23.

$y=\frac{2}{3}x\ -4$

What is the graph of the equation above?

a)

b)

c)

d)

24.

Write the expression for the perimeter of the given rectangle. Choose the best answer.

a)

6x + 5

b)

12x + 10

c)

8x + 6

d)

16x + 12

25.

Classify the following:
√13?

a)

Rational

b)

Irrational

26.

Zero can be classified as all of the following except which?

a)

Whole

b)

Rational

c)

Integer

d)

Natural

27.

You know that 12 inches = 1 foot. Convert 60 inches to feet.

a)

720 feet

b)

5 feet

c)

5 inches

d)

72 feet

28.

How many inches are in 1 mile? (5280ft = 1mi; 12in = 1ft)

a)

66330in

b)

63360in

c)

63660in

d)

63066in

29.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

30.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

31.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

32.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

33.

(-2√7)(3√28)

a)

-6√14

b)

6√13

c)

-84

d)

-78

34.

$3\sqrt{6}\left(\sqrt{6}-2\sqrt{10}\right)$

a)

$18-12\sqrt{15}$

b)

$6\sqrt{15}$

c)

$-3\sqrt{24}$

d)

$3\sqrt{36}-6\sqrt{60}$

35.

$\left(4\sqrt{2}-2\sqrt{3}\right)\left(5\sqrt{2}-\sqrt{3}\right)$

a)

$20\sqrt{2}-14\sqrt{6}+2\sqrt{3}$

b)

$46-14\sqrt{6}$

c)

$32\sqrt{6}$

d)

$40-14\sqrt{6}+6\sqrt{3}$

36.

Select the only RATIONAL number:

a)

$\sqrt{2}$

b)

$\frac{\pi}{4}$

c)

$\pi$

d)

$\sqrt{49}$

37.

Select the ONLY irrational number:

a)

$\frac{\pi}{\pi}$

b)

$.1234567...$

c)

$3\times\sqrt{4}$

d)

$-.747474747474...$

38.

$\sqrt{2}\cdot\sqrt{2}$

a)

Rational

b)

Irrational

39.

$\sqrt{2}-1$

a)

Rational

b)

Irrational

40.

$SUM\ of\ \pi\ and\ 6$

a)

Rational

b)

Irrational

41.

$PRODUCT\ of\ \sqrt{8}\ and\ \sqrt{3}$

a)

Rational

b)

Irrational

42.

$6\sqrt{4}-2\sqrt{25}$

a)

Rational

b)

Irrational

43.

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

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

44.

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

a)

<, >

b)

≤, ≥

c)

≤, <

d)

≥, >

45.

Find the area of a rectangle with length (x - 5) and width (3x + 1).

a)

3x²+16x-5

b)

3x²-14x+5

c)

3x²-14x-5

46.

A rectangle has width (2x + 3) and length (2x - 4). What is the perimeter of the rectangle?

a)

4x- 12

b)

4x- 1

c)

8x- 2

d)

4x²- 2x - 12

47.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

48.

^{Which point is a solution to the system of inequalities?}

a)

(-8,2)

b)

(-2,-5)

c)

(0,6)

d)

(4, 3)

49.

Which inequality is shown in the graph?

a)

y < 2x + 1

b)

y < -2x + 1

c)

y ≤ 2x + 1

d)

y ≤ -2x + 1

50.

What is the inequality symbol for the equation of this boundary line?

a)

less than

b)

less than or equal to

c)

greater than

d)

greater than or equal to

51.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

52.

Match

a)

y < x−2
y < 3

b)

y > -x+2
y > 3

c)

y < -x+2
y < 3

d)

y < -x+2
y > 3

53.

When graphed, the line will be...

5 ≥ x

a)

Solid

b)

Dashed

c)

Zig-Zag

54.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

55.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

56.

This system has an infinite number of solutions, TRUE or FALSE?

a)

TRUE

b)

FALSE

57.

When you graph an inequality, you use a solid line when you use which symbols?

a)

≤, ≥

b)

<, >

58.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

59.

Which of the following setups would be used to find four consecutive integers?

a)

n
n+2
n+4
n+6

b)

n
2n
4n
6n

c)

n+1
n+2
n+3
n+4

d)

n
n+1
n+2
n+3

60.

What two consecutive even integers have a sum of 90?

a)

30 and 60

b)

43 and 47

c)

44 and 46

d)

10 and 80

61.

Find four consecutive odd integers whose sum is 128.

a)

32, 34, 37, 38

b)

27, 29, 31, 33

c)

29, 31, 33, 35

d)

25, 27, 29, 31

62.

There are 3 consecutive integers twice the first is 20 more than the second. Find the largest number.

a)

21

b)

24

c)

22

d)

23

63.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

64.

Write the interval notation as an inequality. (-∞, 5]

a)

x > 5

b)

x ≥ 5

c)

x < 5

d)

x ≤ 5

65.

The set of all y-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

66.

In interval notation, positive and negative ∞ are always closed in by ______.

a)

( ) Parentheses

b)

[ ] Square Brackets

c)

{ } Curly Brackets

67.

The set of all x-values used to graph a function are called the ____.

a)

Domain

b)

Range

c)

Relation

d)

Function

68.

RANGE is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

69.

DOMAIN is found by reading the ends of a graph from ___ to ___.

a)

Right to left

b)

Left to right

c)

Bottom to top

d)

Top to bottom

70.

What is the domain in Interval notation?

a)

[ -2 , 2 ]

b)

[ 4 , -4 ]

c)

(-2 , 2 )

d)

(4 , -4 )

71.

What is the domain in interval notation?

a)

( -4 , 4 )

b)

[ 1 , -3 )

c)

[-4, 4]

d)

(-3, 1]

72.

Is the following a function?

a)

YES

b)

NO

73.

DOES THIS GRAPH REPRESENT A FUNCTION?

a)

NO

b)

YES

74.

DOES THE GRAPH REPRESENT A FUNCTION?

a)

YES

b)

NO

75.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

76.

Which graph does NOT pass the vertical line test?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

77.

Determine the domain and range.

a)

D: (-∞, ∞); R: (-∞, ∞)

b)

D: (-3, 3); R: (0, 3)

c)

D: [-3, 3]; R: [3, 0]

d)

D: [-3, 3]; R: [0, 3]

78.

Describe the range of the given function using interval notation.

a)

(-∞, ∞)

b)

(-4, 5)

c)

[-3, 5]

d)

[-4, 5]

79.

What is the range of the given function?

a)

[-1, 1]

b)

(-1, 1)

c)

(∞, -∞)

d)

(-∞, ∞)

80.

-4x-2y=-12
4x+8y=-24

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

81.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

82.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

83.

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

84.

How many solutions does this system of equations have?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

d)

Two Solutions

85.

Alexandra finds that she can give 3 haircuts and 2 hair dyes in 315 minutes. Giving 2 haircuts and 4 hair dyes takes 450 minutes. Which system of equations represents the situation?

a)

3x + 2y = 315
2x + 4y = 450

b)

3x + 2y = 450
2x + 4y = 315

c)

2x + 2y = 315
3x + 4y = 450

86.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

87.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

88.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

89.

Consistent or Inconsistent?

a)

Consistent

b)

Inconsistent

90.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

91.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

92.

Dependent or Independent?

a)

Dependent

b)

Independent

c)

Neither

93.

WITHOUT GRAPHING
what can you say about these lines

a)

Consistent and Dependent

b)

Consistent and Independent

c)

Inconsistent and Dependent

d)

Inconsistent and Independent

94.

How may solutions does this graph have?

a)

None

b)

1

c)

3

d)

Infinitely many

95.

Find the coordinates of A' if $\Delta ABC$ is reflected across the y-axis.

a)

(1, -2)

b)

(-1, 2)

c)

(-1, -2)

d)

(1, 2)

96.

Which sequences make congruent figures?

a)

translations only

b)

rotations, reflections, and translations

c)

rotations and reflections only

d)

dilations, reflections, rotations, and translations

97.

Describe the translations that were applied to quadrilateral ABCD when it was translated to quadrilateral A'B'C'D'

a)

down 1 unit, left 5 units

b)

down 4 units, left 9 units

c)

5 units right, 1 unit up

d)

9 units right, 4 units up

98.

Which of the following sets of pre-images and images show a rotation?

a)

b)

c)

d)

99.

Which answer shows a reflection across the y-axis?

a)

a

b)

b

c)

c

d)

d

100.

Describe the Transformation

a)

Reflection over y=x

b)

Rotation 90 degrees clockwise

c)

Rotation 90 degrees counterclockwise

d)

Translation

8th Grade Honors Algebra 1 Semester Exam Review 2022

Total questions: 100

Worksheet time: 5hrs 33mins

Similar Resources on Wayground