Free Printable Math 8 2024 Sem 2 Exam Review

1.

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

a)

(5,6)

b)

(6,-6)

c)

(6,-2)

d)

(4,-3)

2.

The sum of Mr. Micklow and Ms. Craft's age is 55. The difference is 3.
Solve:
x + y = 55
x - y = 3

a)

(26, 23)

b)

(26, 29)

c)

(29, 26)

d)

(29, 32)

3.

What is the solution to this system?
x = 7 - 2y
2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

4.

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

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

5.

7x+4y =12
x + 2y = -4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

6.

5x - 4y =-16
x+ 2y = -6

a)

(-4,-1)

b)

(5,-1)

c)

(-5,-1)

d)

(4,1)

7.

Solve the system:
x + 6y = 17
x - 3y = 8

a)

(5, 2)

b)

(11, 1)

c)

(1, 11)

d)

no solution

8.

-6x+5y=1
6x+4y=-10

a)

(1,-1)

b)

(0,-1)

c)

(1,1)

d)

(-1,-1)

9.

x-y=11
2x+y=19

a)

(10,-1)

b)

(-1,10)

c)

(3,-4)

d)

(6,7)

10.

4x+8y=20
-4x+2y=-30

a)

(-7,1)

b)

(2,-5)

c)

(-2,5)

d)

(7,-1)

11.

How many solutions will this system have?

a)

No Solution

b)

Infinitely Many Solutions

c)

No Clue

d)

One solution

12.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

13.

Parallel Lines never intersect because...

a)

they have the same slopes.

b)

they have the same y-intercept.

c)

they have different slopes.

d)

they have different y-intercepts.

14.

How many solutions will this system have?

a)

One

b)

Two

c)

No Solution

d)

Infinitely Many Solutions

15.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

16.

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

17.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

18.

What is the solution to the system?

a)

(3, -1)

b)

(2, -6)

c)

No Solution

d)

(6, -2)

19.

If a system of linear equations has one solution, what does this mean about the two lines?

a)

Parallel lines

b)

the same line

c)

Intersecting lines

20.

If a system of linear equations has infinitely many solutions, what does this mean about the two lines?

a)

Intersecting lines

b)

Same line

c)

Parallel lines

21.

Alex 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)

(-8,-3)

d)

(8,3)

22.

What is the solution to the system?

a)

(0, 3)

b)

(1, -1)

c)

(-3, 1)

d)

(1, 3)

23.

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)

24.

Solve the following system by graphing. What is the solution?

a)

Infinite number of solutions

b)

(3, 3)

c)

(3, -3)

d)

(-3, 3)

25.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

26.

(3x² + 6x - 1) + (4x² + 5x + 9)

a)

-x² + x - 10

b)

x² - x + 10

c)

7x² + 11x + 8

d)

7x² + 11x + 10

27.

Identify the degree of the monomial:
8a³

a)

8

b)

1

c)

3

d)

11

28.

A polynomial that has two terms is a:

a)

polynomial

b)

monomial

c)

binomial

29.

(3x² + 4x - 2) - (5x + 7)

a)

3x² - x - 9

b)

2x² - 9

c)

3x² + 9x - 5

d)

3x² - x + 5

30.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

31.

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

a)

A
binomial

b)

B
trinomial

c)

C
quadratic

d)

D
cubic

32.

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

a)

A
monomial

b)

B
binomial

c)

C
trinomial

d)

D
polynomial

33.

Which is an example of a cubic monomial?

a)

A
x³ + 5

b)

B
x² + 3

c)

C
x² + 5x - 6

d)

D
5x³

34.

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

35.

Add:
(3x² - 3x + 2) + (x² - 2x + 1)

a)

A
4x³-2x²+2

b)

B
4x² - 5x + 3

c)

C
-2x³+2x+2

d)

D
4x³-2x²-2

36.

What is the term classification of the following polynomial?
x³-7x²+3

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

37.

Simplify:
5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

38.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

39.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

40.

What is the degree of the polynomial
x²-2x+5

a)

1

b)

2

c)

3

d)

0

41.

4x² + 8x - 7
is classified as a...

a)

Third Degree Monomial

b)

Second Degree Binomial

c)

Second Degree Trinomial

d)

Third Degree Cubic

42.

What is this expression classified as? $10x^5$

a)

5th degree Monomial

b)

10th degree Monomial

c)

5th degree Trinomial

d)

10th degree Polynomial

43.

Find the difference
(4x²+ x) - (x²+ 2x)

a)

3x²- x

b)

4x²+ 2x

c)

5x² + 3x

d)

3x² + 2x

44.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

45.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

46.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

47.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

48.

(x - 5)(x + 1)

a)

x² - 4x - 5

b)

x² + 6x - 5

c)

x² - 5x - 4

d)

x² - 4x - 4

49.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

50.

(x + 7)(x - 2)

a)

x² - 5x + 5

b)

x²- 9x - 14

c)

x² - 5x - 14

d)

x² + 5x - 14

51.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

52.

(2x - 1)(x + 2)

a)

2x² + 3x - 2

b)

2x² - 5x - 2

c)

2x² + 3x + 2

d)

2x² - 5x + 2

53.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

54.

(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

55.

(4x+1)(5x−2)

a)

20x² + 3x − 2

b)

20x² − 11x + 5

c)

20x² − 18x + 2

d)

20x² − 3x − 2

56.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

57.

(3x − 6)(7x + 7)

a)

21x² − 63x + 42

b)

21x² − 21x − 42

c)

21x² − 42

d)

21x² + 63x + 42

58.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

59.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

60.

Factor Completely: x²-17x+72

a)

(x-9)(x+8)

b)

(x-9)(x-8)

c)

x(x-3)

d)

(x+9)(x+8)

61.

Factor Completely: x²-7x-8

a)

(x+1)(x-8)

b)

(x+1)(x+8)

c)

5(x+4)(x+5)

d)

(x-1)(x+8)

62.

Factor Completely: 2k²-14k-60

a)

2(k-10)(k-3)

b)

Not Factorable

c)

(k-5)(k+9)

d)

2(k-10)(k+3)

63.

Factor Completely: x⁴-9x²

a)

x²(x+3)(x-3)

b)

(x²+3x)(x²-3x)

c)

(x²+9)(x-3)(x+3)

d)

x²(x²-9)

64.

Factor Completely: x²+13x+40

a)

(x+5)(x+8)

b)

5x(x+3)

c)

3x(x+6)

d)

x(x-4)

65.

Factor Completely: 3x²+15x-72

a)

x(x+5)

b)

3(x+8)(x-3)

c)

(3x+24)(x-3)

d)

3(x-8)(x+3)

66.

Factor Completely: 4k²+24k+36

a)

(2k+6)²

b)

(2k-6)²

c)

(2k-6)(2k+6)

d)

4(k+3)²

67.

Factor Completely: 4k²+24k+36

a)

(2k+6)²

b)

(2k-6)²

c)

(2k-6)(2k+6)

d)

4(k+3)²

68.

x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Unfactorable

69.

x²- 225

a)

( x + 15) ( x + 15)

b)

Unfactorable

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

70.

4x²- 64y²

a)

Unfactorable

b)

( 2x - 32y) (2 x + 32y)

c)

( 2x - 8y) (2 x - 8y)

d)

( 2x - 8y) (2 x + 8y)

71.

9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Unfactorable

72.

x²+ 81

a)

Unfactorable

b)

( x - 9 ) ( x + 9 )

c)

( x + 9 ) ( x + 9 )

d)

( x - 9 ) ( x - 9 )

73.

Factor the Polynomial:

121r² - 64t²

a)

(11r + 8t)(11r - 8t)

b)

(11r - 8t)(11r - 8t)

c)

(11r + 8t)(11r + 8t)

d)

Unfactorable

74.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

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

c)

25(x-9)²

d)

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

75.

3x²- 75

a)

3( x + 5 ) ( x - 5 )

b)

Prime

c)

( x + 5 ) ( x - 5 )

d)

3( x - 5 ) ( x - 5 )

76.

x² - 9

a)

(x + 3) (x - 3)

b)

(x - 3) (x - 3)

c)

(x + 3) (x - 6)

d)

Can't factor using Diff. of Squares

77.

7r³-8r²+42r-48

a)

(r²+6)(7r+8)

b)

(r²+6)(7r-8)

c)

(r²+6)(r²+8)

d)

(r²+6)(7r+6)

78.

20x³-25x²+4x-5

a)

(5x²-5)(4x+1)

b)

5(x²-1)(4x+5)

c)

(5x²+1)(4x-5)

d)

(5x²+1)(4x-1)

79.

2x³-8x²-x+4

a)

(2x²-1)(x-4)

b)

2(x²-1)(x+4)

c)

(x²-1)(2x-4)

d)

(2x²+1)(x-4)

80.

x³-5x²+5x-25

a)

(x²-5)(x-5)

b)

(x²+5)(x-5)

c)

(x²+5)(x+5)

d)

(x²-1)(x-25)

81.

30x³+15x²-18x-9

a)

(5x²-3)(6x+1)

b)

(5x²-3)(6x+3)

c)

3(5x²+3)(2x-1)

d)

3(5x²-3)(2x+1)

82.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

83.

Factor by grouping:
4p³+8p²+3p+6

a)

(2p²+3)(p+2)

b)

(2p²+6)(p+4)

c)

(4p²+3)(p+2)

d)

(4p²+8p)(3p+6)

84.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

85.

5³⋅5⁴

a)

5⁷

b)

5⁻¹

c)

5¹²

d)

5

86.

(c⁵)(c³)(c³)

a)

c⁴⁵

b)

3c¹¹

c)

c¹¹

d)

3c⁴⁵

87.

(x⁴)²

a)

x⁸

b)

x⁶

c)

x²

d)

8

88.

(6x²)(-3x⁵)

a)

18x⁷

b)

-18x⁷

c)

18x⁷

d)

3x⁷

89.

Evaluate the expression using the quotient rule.

a)

x¹³

b)

x⁵

c)

x³⁶

d)

x^-5

90.

Simplify the expression:
(5⁸) ÷ (5²)

a)

5⁶

b)

5¹⁰

c)

5⁴

d)

5¹⁶

91.

Simplify the expression in exponential form:
134⁰

a)

0

b)

134

c)

1

92.

Simplify the expression:
(a⁵)(a⁴)

a)

a²⁰

b)

a⁹

c)

a¹

93.

Simplify (2x⁴y⁷)³

a)

6x⁷y¹⁰

b)

6xy³²

c)

8x¹²y²¹

d)

8x⁷y¹⁰

94.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

95.

Simplify m¹²/ m³

a)

m^12-3 = m⁹

b)

m^12/3= m⁴

c)

m^-9

d)

-m⁹

96.

simplify 7^-2

a)

1/7²= 1/49

b)

-49

c)

-14

d)

1/14

97.

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

a)

add

b)

subtract

c)

multiply

d)

divide

98.

According to exponent rules, when we multiply powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

99.

According to exponent rules, when we divide powers we _______ the exponents.

a)

add

b)

subtract

c)

multiply

d)

divide

100.

5^-3 = 1

a)

True

b)

False

101.

8⁰ = 0

a)

True

b)

False

102.

7⁸/7⁴ = 7²

a)

True

b)

False

103.

Simplify: (-4)²

a)

-8

b)

16

c)

-16

d)

8

104.

Simplify: (m⁹)²

a)

m¹¹

b)

2m⁹

c)

m¹⁸

d)

m^4.5

105.

Simplify completely: 4²4³

a)

1024

b)

4⁶

c)

16⁵

d)

4⁵

106.

Simplify: (-5p)²

a)

-25p²

b)

25p²

c)

-5p²

d)

5p²

107.

Which graph is a parabola?

a)

b)

c)

d)

108.

Which equation would give the graph of a parabola?

a)

y = 2x - 3

b)

y = x₂+ 1

c)

y = x²+ 4

109.

Is the following parabola concave up or concave down?

a)

Concave down

b)

Concave up

c)

Neither

110.

How can you tell whether a parabola is facing up or facing down by looking at the equation?

a)

The vertex tells you the direction of the opening

b)

The value of "a" tells you the direction of the opening.

c)

All parabolas open upward

d)

All parabolas open downward

111.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

112.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

113.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

114.

What is the axis of symmetry for this graph?

a)

y=2

b)

x=2

c)

x=0

d)

y=0

115.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

116.

The line that goes through the vertex of a parabola is called the...

a)

Vertex

b)

Axis of Symmetry

c)

x-intercept

d)

y-intercept

117.

The vertex of this quadratic is...

a)

(1,16)

b)

(-3,0)

c)

(5,0)

d)

(0,15)

118.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

119.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

120.

The equation for the axis of symmetry line is x = -b/(2a)

a)

true

b)

false

121.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

122.

Does the equation have a max or min?
y = 2x² + 7x + 5

a)

max

b)

min

123.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

124.

Find the axis of symmetry for $y=x^2-8x+15$

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

125.

Find the vertex for $y=x^2-8x+15$

a)

(-4, 63)

b)

(-4, 31)

c)

(4, -1)

d)

(4, -31)

126.

Find the axis of symmetry of
$y=3x^2-6x+4$

a)

$x=1$

b)

$x=-6$

c)

$x=2$

d)

$x=-1$

127.

Find the vertex of $y=3x^2-6x+4$

a)

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

b)

$\left(1,\ 7\right)$

c)

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

d)

$\left(-2,\ 28\right)$

128.

Find the axis of symmetry for $y=-x^2-4x+12$

a)

$x=-4$

b)

$x=-2$

c)

$x=4$

d)

$x=2$

129.

Find the vertex of $y=-x^2-4x+12$

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

130.

Find the axis of symmetry of $y=-2x^2-16x+3$

a)

$x=4$

b)

$x=8$

c)

$x=-4$

d)

$x=-8$

131.

Find the vertex of $y=-2x^2-16x+3$

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

132.

Find the axis of symmetry of $y=x^2+16x+71$

a)

$x=8$

b)

$x=-8$

c)

$x=16$

d)

$x=-16$

133.

Find the vertex $y=x^2+16x+71$

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

134.

Find the axis of symmetry of
$y=x^2-2x-5$

a)

$x=2$

b)

$x=-2$

c)

$x=1$

d)

$x=-1$

135.

Find the vertex $y=x^2-2x-5$

a)

V(-2, 10)

b)

V(-1, 15)

c)

V(1, -6)

d)

V(1, -12)

136.

What is a, b, and c in 3x² + 4 = 5x?

a)

a = 3, b = -5, c = 4

b)

a = 3, b = 5, c = 4

c)

a = 3, b = 5, c = -4

d)

a = 3, b = -5, c = -4

137.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

138.

Find the vertex of
f(x) = -x²- 4x + 12.

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

139.

Find the vertex. y = x²+ 16x + 71

a)

V(-8, 7)

b)

V(-8, 3)

c)

V(8, 10)

d)

V(16, -2)

140.

What's the axis of symmetry of y = 3x²- 6x + 4

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

141.

Which point is in the overlap of the shaded regions?

a)

(8,-5)

b)

(20,5)

c)

(9,10)

d)

(-7,1)

142.

Which point is a solution to both inequalities?

a)

(-10,-5)

b)

(-20,25)

c)

(40,30)

d)

(40,-10)

143.

Which point is in the overlap (solution) of the shaded region?

a)

(5,0)

b)

(-1,8)

c)

(1,15)

d)

(10,5)

144.

Which point is part of the solution?

a)

(4,0)

b)

(0,4)

c)

(10,5)

d)

(5,10)

145.

Use desmos. Which point is in the overlap of
$y\ >\ \frac{1}{2}x+1$
$y<\frac{1}{4}x+6$

a)

(5,3)

b)

(3,5)

c)

(1,6)

d)

(6,1)

146.

Use desmos to find a solution to the system:
$y\ge\frac{1}{2}x+2$
$2x+3y<12$

a)

(4,3)

b)

(-1,3)

c)

(2,-6)

d)

(0,0)

147.

Use desmos to pick the correct graph of the system:
$y<x$
$y\ge-\frac{1}{2}x+1$

a)

b)

c)

d)

148.

Use desmos. Which correctly shows the graph of the sytem:

$y<-\frac{3}{2}x+1$
$x\ge-2$

a)

b)

c)

d)

149.

Pick ALL correct answers.

Which are solutions to the system?

a)

(-5,4)

b)

(-5,-2)

c)

(0,10)

d)

(5,10)

e)

(0,-5)

150.

Pick ALL correct answers.

Use desmos to pick solutions to the system:
$y<x$

$y\ge\frac{1}{2}x-4$

a)

(2,0)

b)

(0,2)

c)

(-2,0)

d)

(0,-2)

e)

(10,0)

151.

The graph shows which system?

a)

y>\frac{2}{3}x+1

y\le-5x+10

b)

$y<\frac{2}{3}x+1$
$y\ge-5x+10$

c)

$y<\frac{2}{3}x+1$
$y\le-5x+10$

d)

$y>\frac{2}{3}x+1$
$y\ge-5x+10$

152.

Which system is graphed?

a)

y>-\frac{1}{4}x-3

y>2x+6

b)

$y>\frac{1}{4}x-3$
$y\le-2x+6$

c)

$y\le-2x+6$
$y<-\frac{1}{4}x-3$

d)

$y\le-2x+6$
$y>-\frac{1}{4}x-3$

Math 8 2024 Sem 2 Exam Review

Total questions: 152

Worksheet time: 11hrs 29mins

Similar Resources on Wayground