Free Printable Quadratics

1.

$x^2+7x+12=0$ Solve by factoring.

a)

$x=-3\ and\ x=-4$

b)

$x=3\ and\ x=4$

c)

$x=\pm6$

d)

$x=-2\ and\ x=-6$

e)

no solution

2.

Use the axis of symmetry formula to find the vertex. Write your answer as an ordered pair. Write work on back of quiz.
$y=3x^2+6x-7$

(a)

3.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$7x^2-11=27$

(a)

4.

What is the equation for the axis of symmetry of the parabola?

a)

$x=1$

b)

$\left(1,-4\right)$

c)

$y=-4$

d)

$x=-4$

5.

Use the "axis of symmetry formula" to find the vertex of the parabola. Write your answer as an ordered pair (x,y)

$y=3x^2-12x+5$

(a)

6.

$y=3x^2-6x+2$

Which table is for the graph of the equation and has the vertex in the middle?

a)

b)

c)

d)

7.

$y=\left(x+3\right)\left(x+1\right)$
Which table is for the graph of the equation and has the vertex in the middle?

a)

b)

c)

d)

8.

What is the table for the following equation with the vertex in the middle?

$y=4x^2-16x+7$

a)

b)

c)

d)

9.

What is the equation for the axis of symmetry of the given parabola?

a)

$x=2$

b)

$x=4$

c)

$\left(2,4\right)$

d)

$y=2x^2+4x$

10.

What is the vertex of the given parabola? Remember the vertex is a point on the graph.

a)

$x=2$

b)

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

c)

$\left(2,4\right)$

d)

$y=2x^2+4x$

11.

Use the "axis of symmetry formula" to find the vertex of the equation. Write as an ordered pair (x,y). WRITE ALL YOUR WORK DOWN!!!
$y=2x^2+8x+3$

(a)

12.

What is the equation for the axis of symmetry of the parabola?

a)

$x=-2$

b)

$-2$

c)

$\left(-2,1\right)$

d)

$y=1$

13.

Use the "axis of symmetry formula" to find the vertex of the equation. Write as an ordered pair.

y=2x^2+8x-9

(a)

14.

Which graph has a range of R:{y<=-2}, like your answer to #6?

a)

b)

c)

d)

15.

The parabola pictured has two solutions. Type the "largest", also known as the one "farthest to the right" on the x-axis. Type "x=" and do not type spaces.

(a)

16.

Which graph shows a quadratric function with one solution?

a)

b)

c)

d)

17.

Use the "axis of symmetry formula" to find the vertex. Write your answer as an ordered pair (x,y)
$y=3x^2-6x+7$

(a)

18.

What are the solutions, or x-intercepts, of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

19.

What is the range of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

20.

What is the vertex of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

21.

What type of function is the following parabola?

a)

linear

b)

quadratic

c)

exponential

22.

Solve by factoring
$x^2+8x+12=0$

a)

$x=-6$ and $x=-2$

b)

$x=2$ and $x=6$

c)

$x=-3$ and $x=-4$

d)

$x=-12$ and $x=-1$

23.

What is the range of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

24.

What is the vertex of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

25.

What is the vertex of the parabola?

a)

(1, 5)

b)

x=-0.5 and 2.3

c)

$R:\left\{y\ge5\right\}$

d)

$R:\left\{y\le5\right\}$

26.

What is the range of the parabola?

a)

(1, 5)

b)

x=-0.5 and 2.3

c)

$R:\left\{y\ge5\right\}$

d)

$R:\left\{y\le5\right\}$

27.

What are the solutions of the parabola?

a)

(1, -4)

b)

x=-1 and x=3

c)

$R:\left\{y\ge-4\right\}$

d)

$R:\left\{y\le-4\right\}$

28.

What is the vertex of the parabola? Write as an ordered pair (x,y)

(a)

29.

What is the vertex of the parabola?

(a)

30.

What is the range of the parabola?

a)

(2, 3)

b)

$R:\left\{y\le3\right\}$

c)

$R:\left\{y\ge3\right\}$

d)

x=0 and 4

31.

What are the solutions, or x-intercepts of the parabola?

a)

(2, 3)

b)

$R:\left\{y\le3\right\}$

c)

$R:\left\{y\ge3\right\}$

d)

x=0 and 4

32.

What is the discriminant of the following parabola?

a)

A positive number

b)

A negative number

c)

zero

33.

What is the vertex of the following parabola? Write as an ordered pair.

(a)

34.

What is the range of the parabola?

a)

$R:\left\{y\ge-3\right\}$

b)

(-2,-3)

c)

$R:\left\{y\le-3\right\}$

d)

x=-4.9 and -0.1

35.

Use the "axis of symmetry" formula to find the vertex.
$y=-2x^2+8x-10$

(a)

36.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$3x^2-17=62$

(a)

37.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$4x^2-5=23$

(a)

38.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$11x^2-52=71$

(a)

39.

Which graph shows a quadratric function with a negative discriminant?

a)

b)

c)

d)

40.

What is the discriminant of the quadratic function? Only type in the number.
$y=3x^2-7x+2$

(a)

41.

How many solutions does the quadratic function have? Use the discriminant.
$y=3x^2-7x+2$

a)

one solution

b)

two solutions

c)

no solutions

42.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=3x^2-7x+2$

(a)

43.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=4x^2-8x-9$

(a)

44.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=2x^2+6x+3$

(a)

45.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=7x^2+13x+4$

(a)

46.

What is the discriminant of the quadratic function? Only type in the number.
$y=5x^2-9x+2$

(a)

47.

What is the discriminant of the quadratic function? Only type in the number.
$y=2x^2-11x+9$

(a)

48.

What is the discriminant of the quadratic function? Only type in the number.
$y=7x^2-10x+3$

(a)

49.

What is the discriminant of the quadratic function? Only type in the number.
$y=x^2-5x+2$

(a)

50.

What is the discriminant of the quadratic function? Only type in the number.
$y=8x^2-5x+2$

(a)

51.

What is the discriminant of the quadratic function? Only type in the number.
$y=7x^2-3x+6$

(a)

52.

How many solutions does the quadratic equation have? Use the discriminant.
$y=7x^2-3x+6$

a)

no solutions

b)

one solution

c)

two solutions

53.

How many solutions does the quadratic equation have? Use the discriminant.
$y=7x^2-13x+6$

a)

no solutions

b)

one solution

c)

two solutions

54.

How many solutions does the quadratic equation have? Use the discriminant.
$y=x^2-8x+16$

a)

no solutions

b)

one solution

c)

two solutions

55.

How many solutions does the quadratic equation have? Use the discriminant.
$y=2x^2-4x+2$

a)

no solutions

b)

one solution

c)

two solutions

56.

How many solutions does the quadratic equation have? Use the discriminant.
$y=2x^2-9x+3$

a)

no solutions

b)

one solution

c)

two solutions

57.

How many solutions does the quadratic equation have? Use the discriminant.
$y=x^2-7x+2$

a)

no solutions

b)

one solution

c)

two solutions

58.

How many solutions does the quadratic equation have? Use the discriminant.
$y=3x^2-6x+2$

a)

no solutions

b)

one solution

c)

two solutions

59.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+8x+12=0$

(a)

60.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+13x+12=0$

(a)

61.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+11x+18=0$

(a)

62.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2-11x+24=0$

(a)

63.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2-10x+24=0$

(a)

64.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+14x+24=0$

(a)

65.

What is the range of the parabola? Use correct notation.

(a)

66.

What is the range of the parabola? Use correct notation.

(a)

67.

$x^2+7x+12=0$ Solve by factoring.

a)

$x=-3\ and\ x=-4$

b)

$x=3\ and\ x=4$

c)

$x=\pm6$

d)

$x=-2\ and\ x=-6$

e)

no solution

68.

Use the axis of symmetry formula to find the vertex. Write your answer as an ordered pair. Write work on back of quiz.
$y=3x^2+6x-7$

(a)

69.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$7x^2-11=27$

(a)

70.

What is the equation for the axis of symmetry of the parabola?

a)

$x=1$

b)

$\left(1,-4\right)$

c)

$y=-4$

d)

$x=-4$

71.

Use the "axis of symmetry formula" to find the vertex of the parabola. Write your answer as an ordered pair (x,y)

$y=3x^2-12x+5$

(a)

72.

$y=3x^2-6x+2$

Which table is for the graph of the equation and has the vertex in the middle?

a)

b)

c)

d)

73.

$y=\left(x+3\right)\left(x+1\right)$
Which table is for the graph of the equation and has the vertex in the middle?

a)

b)

c)

d)

74.

What is the table for the following equation with the vertex in the middle?

$y=4x^2-16x+7$

a)

b)

c)

d)

75.

What is the equation for the axis of symmetry of the given parabola?

a)

$x=2$

b)

$x=4$

c)

$\left(2,4\right)$

d)

$y=2x^2+4x$

76.

What is the vertex of the given parabola? Remember the vertex is a point on the graph.

a)

$x=2$

b)

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

c)

$\left(2,4\right)$

d)

$y=2x^2+4x$

77.

Use the "axis of symmetry formula" to find the vertex of the equation. Write as an ordered pair (x,y). WRITE ALL YOUR WORK DOWN!!!
$y=2x^2+8x+3$

(a)

78.

What is the equation for the axis of symmetry of the parabola?

a)

$x=-2$

b)

$-2$

c)

$\left(-2,1\right)$

d)

$y=1$

79.

Use the "axis of symmetry formula" to find the vertex of the equation. Write as an ordered pair.

y=2x^2+8x-9

(a)

80.

Which graph has a range of R:{y<=-2}, like your answer to #6?

a)

b)

c)

d)

81.

The parabola pictured has two solutions. Type the "largest", also known as the one "farthest to the right" on the x-axis. Type "x=" and do not type spaces.

(a)

82.

Which graph shows a quadratric function with one solution?

a)

b)

c)

d)

83.

Use the "axis of symmetry formula" to find the vertex. Write your answer as an ordered pair (x,y)
$y=3x^2-6x+7$

(a)

84.

What are the solutions, or x-intercepts, of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

85.

What is the range of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

86.

What is the vertex of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

87.

What type of function is the following parabola?

a)

linear

b)

quadratic

c)

exponential

88.

Solve by factoring
$x^2+8x+12=0$

a)

$x=-6$ and $x=-2$

b)

$x=2$ and $x=6$

c)

$x=-3$ and $x=-4$

d)

$x=-12$ and $x=-1$

89.

What is the range of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

90.

What is the vertex of the following parabola?

a)

x=2 and 4

b)

$R:\left\{y\ge-1\right\}$

c)

(3, -1)

d)

opening up

91.

What is the vertex of the parabola?

a)

(1, 5)

b)

x=-0.5 and 2.3

c)

$R:\left\{y\ge5\right\}$

d)

$R:\left\{y\le5\right\}$

92.

What is the range of the parabola?

a)

(1, 5)

b)

x=-0.5 and 2.3

c)

$R:\left\{y\ge5\right\}$

d)

$R:\left\{y\le5\right\}$

93.

What are the solutions of the parabola?

a)

(1, -4)

b)

x=-1 and x=3

c)

$R:\left\{y\ge-4\right\}$

d)

$R:\left\{y\le-4\right\}$

94.

What is the vertex of the parabola? Write as an ordered pair (x,y)

(a)

95.

What is the vertex of the parabola?

(a)

96.

What is the range of the parabola?

a)

(2, 3)

b)

$R:\left\{y\le3\right\}$

c)

$R:\left\{y\ge3\right\}$

d)

x=0 and 4

97.

What are the solutions, or x-intercepts of the parabola?

a)

(2, 3)

b)

$R:\left\{y\le3\right\}$

c)

$R:\left\{y\ge3\right\}$

d)

x=0 and 4

98.

What is the discriminant of the following parabola?

a)

A positive number

b)

A negative number

c)

zero

99.

What is the vertex of the following parabola? Write as an ordered pair.

(a)

100.

What is the range of the parabola?

a)

$R:\left\{y\ge-3\right\}$

b)

(-2,-3)

c)

$R:\left\{y\le-3\right\}$

d)

x=-4.9 and -0.1

101.

Use the "axis of symmetry" formula to find the vertex.
$y=-2x^2+8x-10$

(a)

102.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$3x^2-17=62$

(a)

103.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$4x^2-5=23$

(a)

104.

Solve by "finding the root". Round to the nearest hundredth. Use "+-" for the plus/minus symbol. Type "x=". Write work on back of quiz.
$11x^2-52=71$

(a)

105.

Which graph shows a quadratric function with a negative discriminant?

a)

b)

c)

d)

106.

What is the discriminant of the quadratic function? Only type in the number.
$y=3x^2-7x+2$

(a)

107.

How many solutions does the quadratic function have? Use the discriminant.
$y=3x^2-7x+2$

a)

one solution

b)

two solutions

c)

no solutions

108.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=3x^2-7x+2$

(a)

109.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=4x^2-8x-9$

(a)

110.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=2x^2+6x+3$

(a)

111.

Use the quadratic formula to find the solutions. Only enter one. Doesn't matter which one. Round to the nearest hundredth. Do not type "x="
$0=7x^2+13x+4$

(a)

112.

What is the discriminant of the quadratic function? Only type in the number.
$y=5x^2-9x+2$

(a)

113.

What is the discriminant of the quadratic function? Only type in the number.
$y=2x^2-11x+9$

(a)

114.

What is the discriminant of the quadratic function? Only type in the number.
$y=7x^2-10x+3$

(a)

115.

What is the discriminant of the quadratic function? Only type in the number.
$y=x^2-5x+2$

(a)

116.

What is the discriminant of the quadratic function? Only type in the number.
$y=8x^2-5x+2$

(a)

117.

What is the discriminant of the quadratic function? Only type in the number.
$y=7x^2-3x+6$

(a)

118.

How many solutions does the quadratic equation have? Use the discriminant.
$y=7x^2-3x+6$

a)

no solutions

b)

one solution

c)

two solutions

119.

How many solutions does the quadratic equation have? Use the discriminant.
$y=7x^2-13x+6$

a)

no solutions

b)

one solution

c)

two solutions

120.

How many solutions does the quadratic equation have? Use the discriminant.
$y=x^2-8x+16$

a)

no solutions

b)

one solution

c)

two solutions

121.

How many solutions does the quadratic equation have? Use the discriminant.
$y=2x^2-4x+2$

a)

no solutions

b)

one solution

c)

two solutions

122.

How many solutions does the quadratic equation have? Use the discriminant.
$y=2x^2-9x+3$

a)

no solutions

b)

one solution

c)

two solutions

123.

How many solutions does the quadratic equation have? Use the discriminant.
$y=x^2-7x+2$

a)

no solutions

b)

one solution

c)

two solutions

124.

How many solutions does the quadratic equation have? Use the discriminant.
$y=3x^2-6x+2$

a)

no solutions

b)

one solution

c)

two solutions

125.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+8x+12=0$

(a)

126.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+13x+12=0$

(a)

127.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+11x+18=0$

(a)

128.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2-11x+24=0$

(a)

129.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2-10x+24=0$

(a)

130.

Solve by factoring. Just enter one solution. Do not type "x="
$x^2+14x+24=0$

(a)

131.

What is the range of the parabola? Use correct notation.

(a)

132.

What is the range of the parabola? Use correct notation.

(a)

133.

What does the discriminant determine?

a)

Whether the graph goes up or down

b)

The vertex

c)

The number of Solutions

d)

The y-intercept

134.

What is the discriminant in the Quadratic Formula?

a)

-b + 4ac

b)

b - 4ac

c)

-b²- 4ac

d)

b²- 4ac

135.

If the discriminant is positive, how many solutions does the graph have?

a)

2

b)

1

c)

0

136.

If the discriminant is negative, how many solutions does the graph have?

a)

2

b)

1

c)

0

137.

If the discriminant is zero, how many solutions does the graph have?

a)

2

b)

1

c)

0

138.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

139.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

140.

What is the discriminant of this graph?

a)

Positive

b)

Zero

c)

Negative

141.

Find the discriminant: 3k² + k - 1 = 0

a)

36

b)

-11

c)

13

d)

-20

142.

How many real solutions does 3k² + k - 1 = 0 have?

a)

2

b)

1

c)

0

143.

Find the discriminant: -4v² - 4v - 1 = 0

a)

0

b)

12

c)

20

d)

32

144.

Solve 2r² - 3r -5 = 0 using the quadratic formula

a)

x = 1/2 and -2

b)

x = 5/2 and -1

c)

x = 2 and -1/2

d)

x = 1 and -5/2

e)

No Solution

145.

Solve 2x² - 3x + 1 = 0 using the quadratic formula

a)

x = 5 and -4

b)

x = 4 and -5

c)

x = 1 and 1/2

d)

x = -1/2 and -1

e)

No Solution

146.

Solve n² - 4n + 4 = 0 using the quadratic formula

a)

x = 3 and 2

b)

x = -2 and -3

c)

x = 2

d)

x = -2

e)

No Solution

147.

Determine the values of a, b, and c for the quadratic equation:

4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

148.

Use the quadratic formula to solve 2x² + 2x - 12.

a)

-2 and 3

b)

2 and 3

c)

2 and -3

d)

-2 and -3

149.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

No Real Solution

b)

c)

d)

150.

Solve using the quadratic formula.
2x² - 9x - 35 = 0

a)

x = 7/2

x = -6

b)

x = -5/2

x =5

c)

x = -3/7

x =6

d)

x = -5/2

x = 7

151.

2x²- x - 3 = 0

a)

x = -3/2

x =1

b)

x = 3/2

x = -1

c)

x = -3/2

x = -1

d)

x = 3/2

x = 1

152.

Determine the values of a, b, and c: 4x² – 8x = 3

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

153.

The quadratic equation can be used to solve quadratic equations that cannot be factored.

a)

True

b)

False

154.

If you have a quadratic function and you cannot factor it (the diamond method does not work), then you can use...

a)

The Quadratic Formula

(choose both)

b)

$x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

(choose both)

155.

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

156.

a)

-4 and 2

b)

-2 and 4

c)

-16

d)

-4

157.

a)

-2 and 4

b)

-8

c)

±8

d)

No real solution

158.

Solve by using a method of your choice:

k² − 12k + 23 = 0

a)

6 ± √13

b)

-6 ± √13

c)

6 ± √59

d)

-6 ± √59

159.

9k² = 225

a)

5

b)

4 and -4

c)

25 and -25

d)

-5 and 5

160.

a)

±81

b)

±9

c)

±3

d)

No real solution

161.

a)

√3

b)

±√3

c)

-3

d)

No real solution

162.

Solve the equation using the zero product property.
(x- 9)(x + 3) = 0

a)

x = 3

x = 9

b)

x = 3

x = -9

c)

x = -3

x = 9

d)

x = -3

x = -9

163.

What should you do first in solving this equation?
x² + 6x - 13 = 3

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

164.

Solve.

a)

No Solution

b)

2 and 4

c)

-2 and 4

d)

-4 and -2

165.

Solve.

a)

No Solution

b)

3 and 1

c)

-1 and 3

d)

-3 and -1

166.

Solve.

a)

No Solution

b)

2 and 3

c)

-2 and 4

d)

-3 and -2

167.

What would be the fastest way to solve this quadratic function?

a)

Square Root

b)

Quadratic Formula

c)

Factoring

d)

Graphing

168.

What would be the fastest way to solve this quadratic function?

a)

Square Root

b)

Quadratic Formula

c)

Factoring

d)

Graphing

169.

What would be the fastest way to solve this quadratic function?

a)

Square Root

b)

Quadratic Formula

c)

Factoring

d)

Graphing

170.

What would be the fastest way to solve this quadratic function?

a)

Square Root

b)

Quadratic Formula

c)

Factoring

d)

Graphing

171.

What would be the fastest way to solve this quadratic function?

a)

Square Root

b)

Quadratic Formula

c)

Factoring

d)

Graphing

172.

Which of the following are solution(s) to the equation?

(choose more than one if there are multiple answers)

a)

0

b)

2

c)

-2

d)

No Solution

173.

Which of the following are solution(s) to the equation?

(choose more than one if there are multiple answers)

a)

0

b)

5

c)

-5

d)

No Solution

174.

Which of the following are solution(s) to the equation?

(choose more than one if there are multiple answers)

a)

5

b)

-5

c)

5/2

d)

2/5

175.

Which of the following are solution(s) to the equation?

(choose more than one if there are multiple answers)

a)

0

b)

3

c)

-3

d)

$\sqrt[]{3}$

176.

Which of the following are solution(s) to the equation?

(choose more than one if there are multiple answers)

a)

-2

b)

7

c)

-7

d)

2

177.

The discriminant is

a)

ax² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

178.

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

179.

In the equation

-5x² -8x - 4 = 0

identify a, b, and C

a)

a = -5, b = -8, c = -4

b)

a = 5, b = -8, c = -4

c)

a = -5, b = 16, c = -4

d)

a = -5, b = 16, c = -10

180.

What is the discriminant of y = 6x² − 2x − 3

a)

76

b)

29

c)

68

d)

none of these

181.

What is the discriminant for y = 5x² + x − 2

a)

-39

b)

42

c)

-41

d)

41

182.

Determine the value of the discriminant for the following:

y = x² + 7x + 13

a)

400

b)

0

c)

-400

d)

-3

183.

Find the discriminant of the following quadratic equation;

-x² − 6x − 11 = 0

a)

-263

b)

80

c)

-8

d)

0

184.

Find the number of solutions of the equation
9h² - 12h + 4 = 0 by using the discriminant.

a)

one real solution

b)

two real solutions

c)

three real solutions

d)

no real solutions

185.

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

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

186.

If the discriminant is negative, then the function will have

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

infinitely many solution

187.

Find the discriminant of the function
x² - 5x = 0

a)

25

b)

21

c)

1

d)

29

188.

How many solutions will the equation: 3x² + 4x - 4 = 0 have?

a)

1

b)

2

c)

3

d)

none

189.

If the discriminant is positive, then the solution will be

a)

one real solution

b)

two real solutions

c)

no real solutions

d)

one imaginary solution

190.

Determine the values of

a, b, and c for

the quadratic equation:

4x² – 8x -3= 0

a)

a = 4, b = -8, c = 3

b)

a = 4, b =-8, c =-3

c)

a = 4, b = 8, c = 3

d)

a = 4, b = 8, c = -3

191.

For the function shown in the graph, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

192.

For the function shown in the graph, is the discriminant positive, negative, or zero?

a)

Positive

b)

Negative

c)

Zero

193.

What does the discriminant tell us?

a)

The number and type of solutions

b)

The number of stars in the universe (this is not the right answer)

194.

Given that the value of $a=-5,\ b=1,\ c=\ 3$ find the discriminant, $b^2-4ac$

a)

41

b)

51

c)

61

195.

Given that the value of A=-5 , B=1 and C=-5, solve for the discriminant.

a)

-99

b)

99

c)

101

d)

-100

196.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

197.

What is the discriminant and how many solutions would this quadratic have?

3x² + 3x + 7= 0

a)

-75, No Solutions

b)

-75, 2 Solutions

c)

-39, No Solutions

d)

-39, 1 Solution

198.

What is the discriminant and how many solutions would this quadratic have?

-3x² - 5x + 15 = 7

a)

205, 2 Solutions

b)

-71, No Solutions

c)

121, 2 Solutions

d)

121, 1 Solution

199.

What is the discriminant and how many solutions would this quadratic have?

4x² + 6x - 4 = 0

a)

-28, No Solutions

b)

28, 2 Solutions

c)

100, 2 Solutions

d)

-100, No Solutions

200.

What is the discriminant and how many solutions would this quadratic have?

-8x² + 6x - 4 = 0

a)

-92, No Solutions

b)

164, 2 Solutions

c)

-164, No Solutions

d)

92, 2 Solutions

201.

What is the discriminant and how many solutions would this quadratic have?

x² - 6x + 9 = 0

a)

0, No Solutions

b)

0, 1 Solution

c)

72, 2 Solutions

d)

-72, No Solution

202.

What does the discriminant tell us?

a)

The maximum or minimum

b)

The y-intercept

c)

The number and type of solutions. (x-intercepts)

d)

The axis of symmetry

203.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

204.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

205.

If the discriminant is equal to 0, how many solutions are there?

a)

No real solutions

b)

1 Real Solution

c)

2 Real Solutions

d)

Infinite solutions

206.

A function has a discriminant of -3.
______________
How many x-intercepts does it have?

a)

0

b)

1

c)

2

d)

3

207.

If the discriminant is equal to 10, how many solutions are there?

a)

2 Real, Irrational Solutions

b)

1 Real Solution

c)

2 Real Rational Solutions

d)

No Real Solutions

208.

If the discriminant is equal to 49, how many solutions are there?

a)

No Real Solutions

b)

1 Real Solution

c)

2 Real, Rational Solutions

d)

2 Real, Irrational Solutions

209.

What is the discriminant and how many solutions would this quadratic have?

4x² + x - 4 = 0

a)

-15, No Solutions

b)

65, 2 real irrational solutions

c)

64, 2 real rational solutions

d)

-65, no solutions

210.

What is the discriminant of this equation and how many solutions would this quadratic have??

3x² + 8x = 0

a)

64, 2 real rational solutions

b)

52, 2 real irrational solutions

c)

9, 2 real rational solutions

d)

0, no solutions

211.

What is the discriminant of this equation and how many solutions would this quadratic have??

-5x² - 6 = 0

a)

120, 2 real irrational solutions

b)

36, 2 real rational solutions

c)

16, 2 real rational solutions

d)

-120, no real solutions

212.

What is the discriminant and how many solutions would this quadratic have? HINT - get into standard form first

-3x² - 5x + 15 = 7

a)

205, 2 real irrational solutions

b)

-71, No Solutions

c)

121, 2 real rational solutions

d)

121, 1 real rational solution

213.

Determine the value of the discriminant and name the nature of the solutions for the following:

x² + 2x = 6

a)

25 - 2 reals rational solutionsl

b)

-20 - no solutions

c)

26 - 2 real irrational solutions

d)

28 - 2 real irrational solutions

214.

If the roots of a quadratic equation are real, irrational and unequal, the discriminant could have a value of

a)

1

b)

0

c)

8

d)

-6

215.

The roots of a quadratic equation are real, rational and equal when the discriminant is

a)

-2

b)

2

c)

0

d)

4

216.

If the graph of a quadratic function lies entirely above or below the x-axis, then the quadratic equation has

a)

two rational solutions

b)

two irrational solutions

c)

exactly one solution

d)

no real solutions

217.

If the discriminant is a negative number (example: -10), the solutions to the quadratic equation are

a)

real, rational and unequal

b)

real, irrational and unequal

c)

real, rational and equal

d)

imaginary

218.

If the discriminant is a positive nonperfect square (example: 17), the solutions to the quadratic equation are

a)

real, rational and unequal

b)

real, irrational and unequal

c)

real, rational and equal

d)

imaginary

219.

If the discriminant is a positive perfect square (example: 36), the solutions to the quadratic equation are

a)

real, rational and unequal

b)

real, irrational and unequal

c)

real, rational and equal

d)

imaginary

Quadratics

Total questions: 219

Worksheet time: 10hrs 14mins

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