Free Printable Algebra 2 Semester 1 Review Quiz

1.

What is the factored form of x²+16x+15

a)

(x+1)(x+15)

b)

(x+3)(x+5)

c)

(x-3)(x-5)

d)

(x-1)(x+15)

2.

What is the factored form of x²-10x+24

a)

(x-4)(x-6)

b)

(x-12)(x+2)

c)

(x-8)(x-3)

d)

(x+24)(x-1)

3.

What are the factors of x²+3x-40

a)

(x+10)(x-4)

b)

(x+8)(x-5)

c)

(x+20)(x-2)

d)

(x+1)(x-3)

4.

What are the factors of x²-8x-48

a)

(x-12)(x+4)

b)

(x+12)(x-4)

c)

(x+12)(x+4)

d)

(x-12)(x-4)

5.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

6.

Factor:

x² - 10x - 24

a)

(x + 12)(x - 2)

b)

(x - 6)(x - 4)

c)

(x - 12)(x + 2)

d)

(x +6)(x - 4)

7.

Factor:
x² - 14x + 24

a)

(x - 8)(x - 3)

b)

(x - 12)(x - 2)

c)

(x - 6)(x - 4)

d)

(x - 24)(x - 1)

8.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

9.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

10.

Factor: x² + 13x + 30

a)

(x + 3)(x + 10)

b)

(x + 5)(x + 6)

c)

(x + 2)(x + 15)

d)

(x + 1)(x + 30)

11.

x²+6x+5

a)

(x+1)(x-5)

b)

(x-1)(x-5)

c)

(x+1)(x+5)

d)

(x+1)(x-5)

12.

Factor Completely

x²+8x+12

a)

(x+6)(x+2)

b)

(x-6)(x-2)

c)

(x+3)(x+4)

d)

(x+6)(x-2)

13.

Factor: $x^2-7x-18$

a)

$\left(x-9\right)\left(x+2\right)$

b)

$\left(x+9\right)\left(x-2\right)$

c)

$\left(x-8\right)\left(x+1\right)$

d)

$\left(x+9\right)\left(x+2\right)$

14.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

15.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

16.

Factor
4n²- 17n - 15

a)

(n-10)(6n+1)

b)

(4n-5)(n-3)

c)

(n-5)(4n-3)

d)

(n-5)(4n+3)

17.

Factor:
4h² - 17h + 4

a)

(2h - 2)²

b)

4(h + 4)(h + 1)

c)

(2h - 2)(2h + 2)

d)

(h - 4)(4h - 1)

18.

Factor:
2x² + 9x + 4

a)

(2x + 4)(x + 1)

b)

(2x + 2)(x + 2)

c)

(2x + 1)(x + 4)

d)

(x + 1)(x + 8)

19.

Factor:
4x² - 27x - 7

a)

(2x + 7)(2x - 1)

b)

(4x + 1)(x - 7)

c)

(4x - 7)(x + 1)

d)

(2x - 7)(2x +1)

20.

Factor:
3x² + 2x - 5

a)

(3x + 5)(x - 1)

b)

(3x - 5)(x + 1)

c)

(x - 5)(3x - 1)

d)

(x + 5)(3x - 1)

21.

Factor:
2x² - 3x - 2

a)

(2x - 2)(x + 1)

b)

(2x + 1)(x - 2)

c)

(2x - 1)(x - 2)

d)

(2x - 1) (x - 1)

22.

Factor completely.
5x² - 7x + 2

a)

5(x - 2)(x + 1)

b)

(5x - 2)(x + 1)

c)

(7x - 1)(x - 4)

d)

(5x - 2)(x - 1)

23.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

24.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

25.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

26.

Factor:

x² + 11x + 24

a)

(x + 6)(x + 4)

b)

(x + 12)(x + 2)

c)

(x - 8)(x - 3)

d)

(x + 8)(x + 3)

27.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

28.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

29.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

30.

The factored form of $x^2+3x-4$ is:

a)

$\left(x+4\right)\left(x-1\right)$

b)

$\left(x-4\right)\left(x+1\right)$

c)

$x\left(x-4\right)$

31.

Factor:
x² + 5x - 24

a)

(x - 8)(x + 3)

b)

(x + 8)(x - 3)

c)

(x + 6)(x - 4)

d)

(x + 12)(x - 2)

32.

Factor:
x²- 25

a)

( x + 5 ) ( x - 5 )

b)

( x - 5 ) ( x - 5 )

c)

( x + 5 ) ( x + 5 )

d)

Prime

33.

Factor:
x²- 16

a)

Prime

b)

( x - 4) ( x + 4)

c)

( x - 8) ( x + 8)

d)

( x - 4) ( x - 4)

34.

Factor:
25x²- 100y²

a)

( 5x - 10y) (5xy + 10y)

b)

( 5x - 10y)²

c)

Prime

d)

( 5x - 50y) (5x + 50y)

35.

Factor, if possible: 4x²+36x+81

a)

(4x+81)²

b)

(2x+9)²

c)

Prime /
Not factorable.

d)

(2x-9)²

36.

Factor:
x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

37.

Factor: x² + 24x + 144

a)

(x + 12)²

b)

(x + 9)²

c)

(x + 15)²

d)

(x + 13)²

38.

Factor

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

39.

factor completely
81m² - 1

a)

not factorable

b)

(m-9)(m+9)

c)

9m(9m-1)

d)

(9m-1)(9m+1)

40.

Factor: x² - 4x + 4

a)

(x + 2)²

b)

(x - 2)²

c)

(x + 4)²

d)

(x - 4)²

41.

What is the slope-intercept form for a line?

a)

$Ax+By=C$

b)

$y-y_1=m\cdot\left(x-x_1\right)$

c)

$x=my+b$

d)

$y=mx+b$

42.

What is the formula for the slope between two points $\left(x_1,y_1\right)$ and $\left(x_2,y_2\right)$ ?

a)

$m=0$

b)

$m=\frac{x_2-x_1}{y_2-y_1}$

c)

$m=\frac{y_2-y_1}{x_2-x_1}$

d)

$m=\frac{y_2-x_2}{y_1-x_1}$

43.

What is the standard form for a line?

a)

$Ax+By=C$

b)

$y-y_1=m\cdot\left(x-x_1\right)$

c)

$x=my+b$

d)

$y=mx+b$

44.

What is the best expression for finding the slope from a graph?

a)

rise/run

b)

rise+run

c)

run/rise

d)

run-rise

45.

What is the slope of the line on the graph?

a)

$m=-1$

b)

$m=1$

c)

$m=\frac{5}{6}$

d)

$m=\frac{6}{5}$

46.

What is the slope of the line on the graph?

a)

$m=-1$

b)

$m=1$

c)

$m=\frac{-8}{3}$

d)

$m=-2$

47.

Find the slope of the line that passes through the given two points.

(1,-4) and (-4,-6)

a)

m=2/5

b)

m=5/2

c)

m=-2/5

d)

m=-5/2

48.

Find the slope of the line that passes through the given two points.

(-6,2) and (-5,-2)

a)

m=4

b)

m=-4

c)

m=1/4

d)

m=-1/4

49.

Find the slope of the line that passes through the given two points.

(-3,3) and (-9,5)

a)

m=3

b)

m=-3

c)

m=1/3

d)

m=-1/3

50.

Find the slope of the line that passes through the given two points.

(4,-7) and (2,-7)

a)

m=2

b)

m=-2

c)

m=0

d)

undefined

51.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=x+6$

a)

b)

c)

d)

52.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=-\frac{5}{3}x+1$

a)

b)

c)

d)

53.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=\frac{1}{2}x-5$

a)

b)

c)

d)

54.

Identify the slope and y-intercept for the line on your paper, and select the correct graph for the line.

$y=-2-4x$

a)

b)

c)

d)

55.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$6x-2y=-14$

a)

b)

c)

d)

56.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$x-y=-3$

a)

b)

c)

d)

57.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$x-4y=-24$

a)

b)

c)

d)

58.

On your paper, rewrite the equation in slope-intercept form, then select the correct graph for the line.

$10x+4y=0$

a)

b)

c)

d)

59.

Find the x- and y-intercepts of the line on your paper, and select the correct graph of the line.

$x-y=5$

a)

b)

c)

d)

60.

Find the x- and y-intercepts of the line on your paper, and select the correct graph of the line.

$x+5y=-5$

a)

b)

c)

d)

61.

Solve by elimination:
4x+9y=28
-4x-y=-28

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

62.

Solve by elimination:

3x+7y=23

-3x-7y=-17

a)

No solution

b)

(0, 3)

c)

(-3,3)

d)

(3,3)

63.

Solve by elimination:

7x+y=-9

-3x-y=5

a)

No solution

b)

(-1,8)

c)

(-2,-3)

d)

(-1,-2)

64.

Solve by elimination:
4x+4y=4

3x+4y=10

a)

(7,-6)

b)

(-6,7)

c)

(6,7)

d)

(7,6)

65.

Solve by elimination:
-x+2y=17

2x+2y=-10

a)

ARN

b)

(-9,4)

c)

(-9,-4)

d)

(9,-4)

66.

Solve by elimination

4x-6y= -6

-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(0, 2)

67.

Solve by elimination
2x+9y= -7
6x-3y= 9

a)

(-1, -1)

b)

(2,-1)

c)

(1,1)

d)

(1,-1)

68.

Solve the system using elimination.

2x + 3y = 12

5x - y = 13

a)

(-3, -2)

b)

(1.5, 2)

c)

(3, 0)

d)

(3, 2)

69.

Alex and Billy are running laps. According to the graph, how long will it take for the two boys to run the same distance?

a)

20 minutes

b)

15 minutes

c)

10 minutes

d)

5 minutes

70.

Last season two running backs on the Steelers football team rushed a combined total of 1550 yards. One rushed 4 times as many yards as the other. Let x and y represent the number of yards each individual player rushed. Which system of equations could be used?

a)

x + y = 1550
y = 4x

b)

x + y = 1550
y = x + 4

c)

y - x = 1550
y = 4x

d)

y = 1550 + x
y = x + 4

71.

What is the best first step to solve this system by elimination?

a)

Add the equations to eliminate y

b)

Subtract the equations to eliminate y

c)

Multiply the second equation by 3.

d)

Multiply the first equation by 2

72.

The solution to a system of linear equations is ALWAYS...

a)

a fraction

b)

an ordered pair

c)

a decimal

d)

a negative number

73.

You and your friend are buying throw blankets with your names embroidered on them. The cost of the throw blanket is x dollars and the cost of each embroidered letter is y dollars. Your name has 6 letters and the total cost is $29. Your friend's name has 3 letters and the total cost is $24.50. Which system can you use to solve this problem?

a)

$x+y=6$
$x+y=3$

b)

$x+6y=29$
$x+3y=24.5$

c)

$x+y=29$
$x+y=24.5$

d)

$x+y=29$
$x+9y=24.5$

74.

Solve this system of equation

-8x + y = 1

-6x + y = 3

a)

(1, 9)

b)

(4, 14)

c)

(0, 1)

d)

(2, 4)

75.

Solve this system of equation

5x - 2y = 9

2x + 7y = -12

a)

(1, -1)

b)

(-1, 1)

c)

(-1, 2)

d)

(1, -2)

76.

1 The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

77.

1 In the equation

y = x² +5x +7,

match each leading coefficient with its correct letter.

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

78.

1 What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions

d)

The axis of symmetry

79.

2 For the function below, is the discriminant positive, negative, or zero?

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

80.

2 A function has a discriminant of 4.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

4

81.

2 A function has a discriminant of 0.

How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

5

82.

3 What is the discriminant of

-2x² − x − 1 = 0 ?

a)

76

b)

-7

c)

9

d)

none of these

83.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

84.

3 For the function above, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

85.

4 Determine the value of the discriminant and name the nature of the solution for the following:

x² + 2x - 63

Remember: b² - 4ac

a)

256 - 2 reals - Rational

b)

√(-256 - 2 imaginary solutions

c)

√(137) - 2 reals - Irrational

d)

123 - 2 reals - Rational

86.

What is the equation for axis of symmetry?

a)

y=3

b)

x=3

c)

x=5

d)

x=1

87.

Which letter determines if a parabola opens up or down?

a)

a

b)

h

c)

k

88.

What is the axis of symmetry?

a)

the slope of the graph

b)

the dividing line for a parabola

c)

a way to spin my pencil

d)

the x-axis

89.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

90.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

91.

What is the vertex?

a)

(4,-4)

b)

(2,0)

c)

(0,2)

d)

(6,0)

92.

Find the zeros of the equation:
(x+10)(x-2) = 0

a)

10 and 2

b)

-2 and 10

c)

-10 and 2

d)

-2 and -10

93.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

94.

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

95.

Find the axis of symmetry for
f(x) = x²- 8x + 15.

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

96.

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

a)

x=1

b)

x=-6

c)

x=2

d)

x=-1

97.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

98.

Find the vertex of f(x)= -2x²-16x+3.

a)

(4, -93)

b)

(-4, 35)

c)

(-4,99)

d)

(8,3)

99.

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

a)

true

b)

false

100.

Given y=2(x+3)(x-7), find the vertex.

a)

(2, -50)

b)

(10, 50)

c)

(-2, -18)

d)

(4, -42)

101.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

102.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

103.

What is the x-coordinate of the vertex of the parabola?
y = (x - 8)(x + 2)

a)

3

b)

-3

c)

8 and -2

d)

-8 and 2

104.

What is the vertex of the function?

a)

(-3, -16)

b)

(3, 20)

c)

(-6, -7)

d)

(0, -7)

105.

Find the vertex y = (x - 5)(x - 1)

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

106.

In factored form you can see the ______ of the graph easily.

a)

y-intercept

b)

vertex

c)

x-intercepts

107.

What is the vertex of this quadratic equation?
y = -(x + 2)² + 4

a)

(2,4)

b)

(-2,4)

c)

(4,-2)

d)

(-4,-2)

108.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

109.

Where is the axis of symmetry for this parabola?

a)

x = −1

b)

x = 0

c)

y = 3

d)

x = −3

110.

What is the maximum/minimum of a parabola called?

a)

vertex

b)

point

c)

top

d)

bottom

111.

Which of the following is the correct equation for the given graph?

a)

f(x) = (x - 2)² - 1

b)

f(x) = (x + 2)² - 1

c)

f(x) = -(x + 2)² - 1

d)

f(x) = -(x - 2)² - 1

112.

Does this graph have a maximum or minimum?

a)

Minimum

b)

Maximum

113.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

114.

Given the equation for this parabola:
y=-(x-4)²-3,
does this parabola have a maximum or minimum value?

a)

Maximum

b)

Minimum

115.

In vertex form, what effect does the a have on the graph?

a)

Translates Up/Down

b)

Translates Left/Right

c)

Narrows/Widens Parabola

d)

Flips it

116.

In vertex form, what effect does the h have on the graph?

a)

Translates Up/Down

b)

Translates Left/Right

c)

Narrows/Widens Parabola

d)

Flips it

117.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

118.

a)

A

b)

B

c)

C

119.

a)

A

b)

B

c)

C

120.

How would you describe the translation from f(x)=x² to f(x)=(x-3)² ?

a)

Horizontal translation: three units to the left

b)

Horizontal translation: three units to the right

c)

Vertical translation: three units up

d)

Vertical translation: three units down

121.

Shift f(x)=x² three units to the left and 4 units down

a)

f(x)=(x+3)²-4

b)

f(x)=(x-3)²-4

c)

f(x)=(x+4)²-3

d)

f(x)=(x-4)²-3

122.

How would you describe the translation from f(x)=x² to f(x)=x²+5 ?

a)

Horizontal translation: five units to the right

b)

Horizontal translation: five units to the left

c)

Vertical translation: five units up

d)

Vertical translation: five units down

123.

a)

y=(x-2)²+3

b)

y=(x-2)²-3

c)

y=(x+2)²+3

d)

y=(x+2)²-3

124.

a)

y=(x-4)²+1

b)

y=(x-4)²-1

c)

y=(x+4)²+1

d)

y=(x+4)²-1

125.

How would you describe the translation from f(x)=x²+2 to f(x)=x²+7 ?

a)

Vertical translation: up 2 units

b)

Vertical translation: up 5 units

c)

Vertical translation: up 7 units

d)

Vertical translation: up 9 units

126.

Describe the translation from f(x)=(x+2)²-3 to f(x)=(x-3)²-5

a)

Five units to the right, 2 units up

b)

Five units to the right, 2 units down

c)

Five units to the left, 2 units up

d)

Five units to the left, 2 units down

Algebra 2 Semester 1 Review Quiz

Total questions: 126

Worksheet time: 7hrs 19mins

Similar Resources on Wayground