Free Printable Q. E

1.

a)

b)

c)

d)

2.

What are the values of a, b, and c in the quadratic equation 3x² - 10 = -4x

a)

a = 3x² b = -10 c = -4x

b)

a = 3 b = -10 c = -4

c)

a = 3 b = -4 c = -10

d)

a = 3 b = 4 c = -10

3.

What is the positive solution to the equation 0 = (1/5)x² - 5?

a)

(1/5)

b)

1

c)

5

d)

-5

4.

What are the solutions to 5( x - 3 )² = 45?

a)

x = 6 and x = 0

b)

x = -3 and x = 45

c)

x = -6.71 and x = 6.71

d)

x = -3 and x = 3

5.

What are the solutions for the equation 2x² + 16x = 18

a)

x = -1 and x = 9

b)

x = -9 and x = 1

c)

x = 2 and x= 18

d)

x = 2 and x = 16

6.

The area of a certain rhombus is given by the equation L²- 5L = 6 where l represents the length of the rhombus in centimeters. What is the length of the rhombus?

a)

6 cm

b)

-6 cm

c)

1 cm

d)

-1 cm

7.

In the quadratic function x² - 6x + c what value of c would make q(x) a perfect square trinomial?

a)

6

b)

3

c)

36

d)

9

8.

How long was the rocket in the air?

a)

3 seconds

b)

5 seconds

c)

9 seconds

d)

6 seconds

9.

If the rocket was at a height of 5 feet at 1 seconds, at what other time was the rocket at a height of 5 feet?

a)

It was never at 5 feet again.

b)

6 seconds

c)

5 sconds

d)

3 seconds

10.

Approximately, what was the highest that the rocket flew?

a)

6 feet

b)

9 feet

c)

3 feet

d)

It never flew.

11.

2x^2+5x-10=0

What is the linear term in the given equation?

a)

$2x^2$

b)

$5x$

c)

$-10$

d)

$10$

12.

Identify a in the quadratic equation:

x²+ 16x + 64=0

a)

2

b)

1

c)

16

d)

64

13.

Identify b of the quadratic equation:

x² + 64=0

a)

0

b)

1

c)

-1

d)

64

14.

Identify c of the quadratic equation:

x²+ 16x + 64=0

a)

2

b)

1

c)

16

d)

64

15.

Identify b of the quadratic equation:

2x ² − 4x − 2= 0

a)

2

b)

4

c)

-4

d)

-2

16.

-7c^2-2c+5=0

What is the quadratic term in the given equation?

a)

$5$

b)

$-2c$

c)

$7c^2$

d)

$-7c^2$

17.

Which of the following is quadratic equation?

a)

x³-5x+6 = 0

b)

6x²+ 11x - 35 = 0

c)

-4x - 7x +12 = 0

d)

2x⁴ - 4y - 2 = 0

18.

Which is NOT a quadratic equation?

a)

3x² + 4x + 2 = 0

b)

-y² +6y + 18 = 0.

c)

2x² + 3y + 1 = 0

d)

20x² -15x - 10 = 0

19.

ax²+bx+c=0 is the standard form of a quadratic equation.

a)

True

b)

False

20.

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

21.

Which of the following is quadratic equation?

a)

x³-5x+6 = 0

b)

6x² + 11x - 35 = 0

c)

-4x - 7x +12 = 0

d)

2x² - 4y - 2 = 0

22.

Which is NOT a quadratic equation?

a)

3x² + 4x + 2 = 0

b)

-y² +6y + 18 = 0.

c)

2x² + 3y + 1 = 0

d)

20x² -15x - 10 = 0

23.

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

24.

What is the standard form of the quadratic equation

x² -2x = 5 ?

a)

x² - 2x + 5 = 0

b)

x² -2x - 5 = 0

c)

x² +2x - 5 = 0

d)

x² +2x + 5 = 0

25.

What is the standard form of the quadratic equation

-3x² - 5 + 9x = 0 ?

a)

3x² - 5x + 9= 0

b)

3x² -5x - 9 = 0

c)

3x² +9x - 5 = 0

d)

3x² -9x + 5 = 0

26.

A. Find the following square roots.

1.\ \sqrt{16}

a)

8

b)

-16

c)

4

27.

Find the following square roots.

2.\ \sqrt{25}

a)

5

b)

10

c)

-10

28.

Find the following square roots.

3.\ -\ \sqrt{49}

a)

7

b)

14

c)

-7

29.

Find the following square roots.

4.\ \sqrt{81}

a)

18

b)

9

c)

-18

30.

Find the following square roots.

5.\ \sqrt{\frac{9}{16}}

a)

3/4

b)

4/3

c)

1/2

31.

B. Solve the following.

X + 7 = 12

a)

x = 5

b)

x = -19

c)

x = -5

d)

x = 19

32.

Solve the following.

t - 4 = 10

a)

t = 6

b)

t = 14

c)

t = -6

d)

t = -14

33.

Solve the following.

r + 5 = -3

a)

r = 8

b)

r = 2

c)

r = -8

d)

r = -2

34.

Solve the following.

2s = 16

a)

s = 4

b)

s = 8

c)

s = -4

d)

s = -8

35.

Solve the following.

3 ( x + 7 ) = 24

a)

x = 1

b)

x = 2

c)

x = 3

d)

x = 4

36.

Solve using square roots. x² - 4 = 0

a)

x = 2

b)

x = 2 or -2

c)

x = -2

d)

x = 16 or -16

37.

Solve the equation by factoring:
x² + x - 20 = 0

a)

x = -5 and 4

b)

x = 4 and 5

c)

x = 5 and -4

d)

x = -4 and -5

38.

Solve the equation by factoring:
x² -5x = 24

a)

x = ±√5

b)

x = -8 and 3

c)

x = 8 and -3

d)

No Real Solution

39.

Solve by factoring

x² + 10x = -25

a)

x = -5

b)

x = ±5

c)

x = 5

d)

x = 0

40.

What are the solutions to this equation?
(x-3)(x+2)=0

a)

x=3,-2

b)

x=-3,2

c)

x=2,3

d)

x=3,2

41.

Which is another way of correctly expressing
(x - 3)(x - 3)?

a)

(x² - 3²)

b)

(x² - 3)

c)

(x + 3)(x - 3)

d)

(x - 3)²

42.

Solve the equation by factoring:

x² + 13x + 40 = 0

a)

-8, 5

b)

-40, -1

c)

5, 8

d)

-8, -5

43.

Solve for r:

a)

-3, 4

b)

3, 4

c)

-4, -3

d)

-3

44.

It is a polynomial equation of degree two that can be written in the form

ax² + bx + c = 0, where a, b, and c are real numbers and a ≠ 0.

a)

Linear Equation

b)

Linear Inequality

c)

Quadratic Equation

d)

Quadratic Inequality

45.

Which of the following is a quadratic equation?

a)

$3s^2+s–4$

b)

$m^2–8m–1=0$

c)

$2x–1=5$

d)

$5y^2+4y\ge7$

46.

In the quadratic equation 2x² – 9x – 5 = 0, which is the quadratic term?

a)

2x²

b)

x²

c)

– 9x

d)

– 5

47.

In the quadratic equation 2x² – 9x – 5 = 0, which is the linear term?

a)

2x²

b)

x²

c)

– 9x

d)

a. – 5

48.

In the quadratic equation 2x² – 9x – 5 = 0, which is the constant term?

a)

2x²

b)

x²

c)

– 9x

d)

– 5

49.

Solve by factoring: x²-6x+9=0

a)

x=3

b)

x=-3

c)

x=-4, x=-2

d)

Not factorable

50.

Solve by extracting the roots:

4m² = 100

a)

m=25, -25

b)

m=96

c)

m=-96

d)

m=5, -5

51.

Solve by extracting the roots:

3x² = 192

a)

-32 or 32

b)

-8 or 8

c)

-64 or 64

d)

No Solution

52.

Solve by factoring:
$x^2-15=-2x$

a)

x= -2 ; x= -3

b)

x= 3; x= -8

c)

x= -5 ; x= -3

d)

x= -5 ; x= 3

53.

Solve by factoring: x²-9x+20 =0

a)

x=4, x=5

b)

x=-2, x=10

c)

x=-5, x-4

d)

not factorable

54.

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.

55.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

56.

Solve for m by factoring.

a)

A

b)

B

c)

C

d)

D

57.

What is this formula?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

58.

Solve Using the Quadratic Formula
x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

59.

Solve the following for x by using the Quadratic Formula

2x²+6x=7

a)

b)

c)

60.

Solve by the Extraction of Roots method: x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

61.

Solve by the Extraction of Roots method: -5x² = -50

a)

± 5

b)

± 10

c)

± √10

d)

-10

62.

Solve by the Extraction of Roots method: (x - 2) ² = 49

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

63.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

64.

Find the missing value "c" to create a perfect square trinomial:
x² – 8x + ___

a)

-4

b)

16

c)

4

d)

8

65.

Complete the square for
x² + 12x + ____

a)

x² + 12x + 144

b)

x² + 12x + 36

c)

x² + 12x - 36

d)

x² + +12x - 144

66.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

67.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

68.

Solve the following quadratics equation by completing the square...

x² + 4x + 1 = 0

a)

x = -2 ± √3

b)

x = -3 ± √2

c)

x = 2 ± √3

d)

x = 2 ± √2

69.

Solve the equation by completing the square and then finding the roots.
x²+ 6x - 4 = 36

a)

x = -7, 7

b)

x = 4, -10

c)

x = -4 +- √7

d)

x = 10, -4

70.

Solve by ANY method you have learned: x²−2x+11=0

a)

1±i√10

b)

1±√10

c)

-1±i√10

d)

-1±√10

71.

What is this?

a)

This is the speed of light formula.

b)

This is the quadratic formula.

c)

This is the zero product property.

d)

This is scary.

72.

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

73.

Identify the 'a' value: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

74.

Identify the 'b' value: y = 16x² -8x -24

a)

16

b)

-8

c)

8

d)

-24

75.

Identify the 'c' value: y = 16x² -8x -24

a)

16

b)

-8

c)

24

d)

-24

76.

Solve 8x² - 6x + 1 = 0

a)

No Solution

b)

0 or 1

c)

-0.5 or -0.25

d)

0.25 or 0.5

77.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

78.

Solve 2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

79.

Factor the following perfect square trinomial using the rule(b/2)² :

x² + 18x + 81

a)

(x + 9)(x – 9)

b)

(x + 18)²

c)

(x + 9)²

d)

(x + 6)²

80.

Use the quadratic formula to find the solutions for

y = 2x² - 9x + 5

a)

-8.14 and 6.14

b)

-4.07 and 3.07

c)

3.9 and 0.6

d)

ZERO solutions

81.

Complete the square.
x² + 14x + ____

a)

x² + 14x - 196

b)

x² + 14x + 49

c)

x² + 14x - 49

d)

x² + 14x + 196

82.

Solve
2x² + 17x + 21 = 0

a)

x= ^-21/₂, -17

b)

x= ²/₃, 16

c)

x=-7, ^-3/₂

d)

x=15, -³/₇

83.

Solve by factoring: x² - 9x + 20 = 0

a)

x = -4 and x = -5

b)

x = 20 and x = -9

c)

x = 4 and x = 5

d)

x = -4 and x = 5

84.

When factoring
x² - 4x + 4 = 20,
what goes in the blank?
(x - __ )² = 20

a)

4

b)

2

c)

8

d)

20

85.

In the equation
$x^2+5x+7\ =0$ match each leading coefficient with its correct letter

a)

$a=0,b=5,c=7$

b)

$a=1,b=5,c=7$

c)

$a=7,b=5,c=1$

d)

$a=x^2,\ b\ =\ 5x,\ c\ =\ 7$

86.

$16x^2-8x-24\ =\ 0$ Identify the 'a' value:

a)

16

b)

8

c)

-8

d)

-24

87.

How many x-intercepts does this parabola have?

a)

2 solutions

b)

1 solution

c)

no solution

88.

How many x-intercepts does this parabola have?

a)

2 solutions

b)

1 solution

c)

no solution

89.

What is the missing number in the formula for the quadratic equation, $2x^2+2x-12=0$ ?
$x\ =\frac{-2\ \pm\sqrt{\left(\ ?\right)^2-4\left(2\right)\left(-12\right)}}{2\left(2\right)}$

a)

2

b)

-12

c)

4

d)

-2

90.

What is the missing number in the formula for the quadratic equation, $5x^2-x\ +7\ =\ 0$ ?
$x\ =\frac{?\pm\sqrt{\left(\ -1\right)^2-4\left(5\right)\left(7\right)}}{2\left(5\right)}$

a)

7

b)

5

c)

-1

d)

1

91.

What are the final solutions for $x\ =\frac{-2\pm\sqrt{100}}{4}$ ?

a)

$x\ =\ \frac{1}{2},\ x\ =\ -\frac{1}{3}$

b)

$x=-2,\ x\ =\ 3$

c)

$x=-3,\ x=2$

d)

$x\ =\ -\frac{1}{2},\ x\ =\ \frac{1}{3}$

92.

$x\ =\ \frac{-3\pm\sqrt{-11}}{10}$

How many solutions would there be?

a)

1 solution

b)

2 solutions

c)

no solution

93.

$x\ =\ \frac{6\ \pm\sqrt{36-36}}{2\left(3\right)}$ How many solutions would there be?

a)

1 solution

b)

2 solutions

c)

no solution

94.

$x^2-5x\ -14\ =\ 0$

Determine the x-intercepts by completing the quadratic formula.
$x=\ \frac{5\ \pm\sqrt{\left(-5\right)^2-4\left(1\right)\left(-14\right)}}{2\left(1\right)}$

a)

$x=\frac{5\pm\sqrt{-31}}{2}$

b)

$x\ =\ -7,\ x\ =\ 2$

c)

$x\ =\ 7,\ x\ =\ -2$

d)

$no\ solution$

95.

One of the solutions is $x\ =\ -1$ . What is the other solution?
$x\ =\frac{-4\pm\sqrt{4}}{2}$

a)

$x=-3$

b)

$x=3$

c)

$x=1$

d)

$x=0$

96.

$2x^2-14x+23=0$
Simplify the final steps of the formula.
$x=\frac{14\ \pm\sqrt{12}}{4}$

a)

$x=\frac{14\pm6}{4}$

b)

$x=\frac{14\pm\sqrt{3}}{4}$

c)

$x\ =\ \frac{7\pm\sqrt{3}}{2}$

d)

$x=\frac{14\pm2}{4}$

97.

$2x^2-14x+23\ =\ 0$ What is the a, b, and c?
Type your answer: a = ?, b = ?, c = ?

(a)

98.

Use the quadratic formula to find the x-intercepts of $x^2-5x-24=0$
Write your answers x = ? , x = ?

(a)

99.

$x^2+3x-10=0$
Finish the formula to find the solutions.
$x\ =\ \frac{-3\ \pm\sqrt{49}}{2}$
Type your answer x = ?, x = ?

(a)

100.

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

101.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

102.

If the discriminant equals zero, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

103.

If the discriminant equals +35, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

104.

If the discriminant equals -72, the quadratic has how many solutions?

a)

2 real

b)

2 complex

c)

1 real

d)

1 complex

e)

0 real

105.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

106.

Which graph has a discriminant > 0?

a)

None of them

b)

Red

c)

Blue

d)

Green

107.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

108.

Solve the quadratic equation.
2p² - 2p - 55 = 5

a)

A . {3.28, -2.28}

b)

B . {2.5, -1.78}

c)

C . {6, -5}

d)

D . {-1, 4}

109.

Solve for x. Round to the nearest hundredth if necessary.
3x² = 16x + 12

a)

x = -.67, 6

b)

x = -6, .67

c)

x = 3.33, 18

d)

x = -3.33, 18

110.

$\sqrt{-4}$

a)

-2

b)

-2i

c)

2

d)

2i

111.

Look at the equation below.

$x^2+5x+7=0$

What are the solutions of the equation?

a)

$\frac{-5\pm\sqrt{3}}{2}$

b)

$\frac{-5\pm i\sqrt{3}}{2}$

c)

$\frac{-5\pm\sqrt{53}}{2}$

d)

$\frac{-5\pm i\sqrt{53}}{2}$

112.

Solve:

$x^2+10x+35=0$

a)

$-5\pm2i\sqrt{5}$

b)

$-5\pm i\sqrt{5}$

c)

$-5\pm2i\sqrt{10}$

d)

$-5\pm i\sqrt{10}$

113.

Solve using the quadratic formula. f(x) = 2x²- 4x + 7

a)

(2±2i√10)/2

b)

(4±√40)/4

c)

(2±i√10)√/2

d)

(2±2i√40)/4

114.

Solve using the Quadratic Formula: $-x^2+4x=13$

a)

$2\pm3i$

b)

$-2\pm3i$

c)

$2\pm i\sqrt{17}$

d)

$-2\pm i\sqrt{17}$

115.

Solve using the quadratic formula. $f\left(x\right)=2x^2-4x+7$

a)

$\frac{2\pm2i\sqrt{10}}{2}$

b)

$\frac{4\pm\sqrt{40}}{4}$

c)

$\frac{2\pm i\sqrt{10}}{2}$

d)

$\frac{2\pm2i\sqrt{40}}{4}$

116.

Solve by the Quadratic Formula:

$-12q^2+3q+7=0$

a)

$\frac{-3\pm\sqrt{345}}{24}$

b)

$\frac{3\pm\sqrt{345}}{-24}$

c)

$\frac{3\pm\sqrt{345}}{24}$

d)

$\frac{3\pm i\sqrt{39}}{24}$

117.

A coin is being tossed from a 40 foot tall tower of a castle. The coin is tossed upward off of the tower with a velocity of 9 ft/sec. Use the formula h(t) = -16t² + 9t + 40 to calculate how long it will take the coin to hit the ground.

a)

1.6059 seconds

b)

1.8772 seconds

c)

-1.3247 seconds

d)

1.8872 seconds

118.

How did you feel about completing this problem?

a)

5- I totally get it and could teach it to someone else!

b)

4- I pretty much get it

c)

3- I understood some parts, but need more practice

d)

2- I was really struggling

e)

1- I did not understand any part and need to ask for help

Q. E

Total questions: 118

Worksheet time: 4hrs 23mins

Similar Resources on Wayground