Free Printable Q. E

1.

What is the standard form formula?

a)

y=mx+b

b)

y=ax²+bx+c

c)

y=a(x-h)2+k

2.

What is the vertex form formula?

a)

y=ax²+bx+c

b)

y=mx+b

c)

y=a(x-h)2+k

3.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

4.

What is the domain of the graph shown above.

a)

x=19

b)

all real numbers

c)

y=3

d)

Maximum

5.

What are the zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

6.

What is a axis of symmetry?

a)

all real numbers

b)

y=5

c)

the line that divides the graph in equal halves

d)

y=mx+b

7.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

8.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

9.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

10.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

11.

What is the standard form formula?

a)

y=mx+b

b)

y=ax²+bx+c

c)

y=a(x-h)2+k

12.

What is the vertex form formula?

a)

y=ax²+bx+c

b)

y=mx+b

c)

y=a(x-h)2+k

13.

Is the graph shown above a max or min?

a)

Maximum

b)

Minimum

14.

What is the domain of the graph shown above.

a)

x=19

b)

all real numbers

c)

y=3

d)

Maximum

15.

What are the zeros of the graph shown above?

a)

2 and 6

b)

4 and 2

c)

6 and 9

d)

5 and 1

16.

What is a axis of symmetry?

a)

all real numbers

b)

y=5

c)

the line that divides the graph in equal halves

d)

y=mx+b

17.

Is the graph shown above a max or min?

a)

Minimum

b)

Maximum

18.

What is the y-intercept of the graph shown above?

a)

all real numbers

b)

(0,6)

c)

(0,2)

d)

(0,-6)

19.

What is the vertex of the graph shown above?

a)

(7,6)

b)

(-1,2)

c)

(2,-1)

d)

(5,0)

20.

Graph the following equation:

y=x²-2x-3

a)

b)

c)

d)

21.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

22.

a)

± 1/4

b)

± 9/36

c)

± 1/2

d)

No real solution

23.

a)

±81

b)

±9

c)

±3

d)

No real solution

24.

x² - 15 = 0

a)

{15, -15}

b)

{3.87, -3.87}

c)

{7.5, -7.5}

d)

No Solution

25.

Solve.

a)

A

b)

B

c)

C

d)

D

26.

If the graph of a quadratic does not intercept the x-axis at any point, then it has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

27.

What are the solutions of this graph?

a)

-2 and 3

b)

-1/2 and -6

c)

-2 and -6

d)

3 and -6

28.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

29.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

30.

Solve
16a² - 9 = 0

a)

a = ^-3/₄, ³/₄

b)

a = ^-4/₃, ⁴/₃

c)

a = ^-9/₁₆, ⁹/₁₆

d)

a = ^-16/₉, ¹⁶/₉

31.

Solve by taking square roots:
5m² + 1 = 6

a)

m = 0

b)

m = 1 or -1

c)

m = √7

d)

m = 7/5 m = -7/5

32.

Solve for x
x² - 3 = 78

a)

-9,9

b)

9

c)

-9

d)

-√75, √75

33.

Solve for x:
(x+6)²=49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

34.

Solve for x:
(x+6)²=49

a)

x=7,12

b)

x=±7

c)

x=1,-13

d)

x=43,-55

35.

3. Solve the equation
4x²- 25 = 0

a)

5/2, -5/2

b)

5/2, 5/2

c)

-5/2, -5/2

d)

-5/2, 5/2

36.

12. Solve by factoring
(x - 2 )² = 49

a)

-5, 9

b)

^{7, -7}

c)

9, -5

d)

^{9, -9}

37.

a)

1

b)

2

c)

3

d)

4

38.

Solve by taking square roots:
5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no solution

39.

Solve by taking square roots:
k² - 6 = 43

a)

k = √37

b)

k = 37 or - 37

c)

k = 7, k = -7

d)

no solution

40.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

41.

a)

A

b)

B

c)

C

d)

D

42.

Does this graph in the back have maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

43.

A raft is dropped from a helicopter 256 feet in the air above the ocean. Its approximate height, h, after t seconds is given by the function h(t) = -16t² + 256. How many seconds did it take the raft to hit the water? (Round to the nearest whole number)

a)

-4

b)

2

c)

4

d)

8

44.

The solutions of the quadratic equation
x²+2x-15=0 are

a)

x = 3 or x = 5

b)

x = 5 or x = -3

c)

x = -5 or x = 3

d)

x = -3 or x = -5

45.

The solutions of the quadratic equation
x²+12x+35=0 are

a)

x = -5 or x = -7

b)

x = 5 or x = 7

c)

x = -35 or x = -1

d)

x = -9 or x = -4

46.

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

47.

Solve

x² + 2x - 20 = 4

a)

x = -6, x = 4

b)

x = 6, x = -4

c)

x = 12, x = -2

d)

x = 8, x = -3

48.

What property would you use to solve the following?
(x-3)(x+2)=0

a)

Commutative Property

b)

Associative Property

c)

Zero Product Property

d)

Inverse Property

49.

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

a)

Get factored form

b)

Find two numbers which add to make 6 and multiply to make -13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

50.

What are the factors AND solutions of x² + 2x – 3 = 0

a)

(x - 2)(x + 1); x=2, x=-1

b)

(x + 1)(x - 3); x=-1, x=3

c)

(x + 2)(x - 1); x=-2, x=1

d)

(x - 1)(x + 3); x=1, x=-3

51.

Solve:
x² - 49 = 0

a)

x = -7, x = 7

b)

x = -7

c)

x = 7

d)

x = -7, x = 1

52.

Solve 2x² - 7x + 6 = 0 by factoring

a)

x = -3/2 and x = -2

b)

x = -3 and x = -2

c)

x = 3 and x = 2

d)

x = 3/2 and x = 2

53.

Solve by factoring:

x² + 4x - 40 = -8

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

54.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

55.

n² - 2n = 0

a)

n = 2 and 0

b)

n = -2 and 0

c)

n = 2

d)

n = 0

56.

Factor
3a² + 4a + 1

a)

(7a-10)(a-8)

b)

Not factorable

c)

(3a+1)(a+1)

d)

(3a-1)(a-1)

57.

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)

58.

What is another name for the x-intercepts of a quadratic?

a)

y-intercept

b)

Zeros

c)

x-axis

d)

They don't have another name

59.

What type of equations always include an x²?

a)

Quadratic

b)

Linear

c)

Exponential

d)

Quartic

60.

What is the standard form for a Quadratic?

a)

ax²+ bx = - c

b)

x = -b ± √(b²-4ac) / 2a

c)

ax² + bx + c

d)

y = mx + b

61.

Factor 6x²-27x

a)

(6x+1)(x+3)

b)

3x(2x-9)

c)

6x(x-9)

d)

(3x-9)(2x+3)

62.

Solve: $12x^2-4x=0$

a)

{4, 1/3 }

b)

{0, 4}

c)

{ 0, 3 }

d)

{ 0, 1/3 }

63.

Solve:

5b² - 4 = 41

a)

b = 9, b = -9

b)

b = 3, b = -3

c)

b = 8, b = -8

d)

no real solution

64.

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.

65.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

66.

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.

67.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

68.

Solve by the Extraction of Roots method: x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

69.

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

a)

9 or -5

b)

± 9

c)

± 5

d)

± 7

70.

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

a)

-4

b)

16

c)

4

d)

8

71.

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

72.

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

73.

Which is the quadratic term in the equation $3x^2+7x-4=0$ ?

a)

$x^2$

b)

$3x^2$

c)

$-4$

d)

$+7x$

74.

Which of these equations is not quadratic?

a)

$\left(x+2\right)^2=x^2$

b)

$-8=\left(3x+7\right)^2$

c)

$2x^2-6=3x$

d)

$x\left(x+3\right)=6$

75.

The linear term in the equation $15+4x^2-2x=0$ is?

a)

$15$

b)

$4x^2$

c)

$-2x$

d)

$0$

76.

The standard form of the equation $2x\left(3x+2\right)=5$ .

a)

$6x^2+2x+5=0$

b)

$6x^2+2x-5=0$

c)

$6x^2+4x+5=0$

d)

$6x^2+4x-5=0$

77.

What is the constant term if the equation $\left(2x-3\right)^2=9$ is written in standard form?

a)

$4$

b)

$-6$

c)

$9$

d)

$0$

78.

An equation in one variable that is a mathematical sentence of degree 2 that can be written in the standard form $ax^2+bx+c=0,$ where a, b, and c are real numbers and $a\ne0.$

a)

Cubic Equation

b)

Linear Equation

c)

Quadratic Equation

d)

Quartic Equation

79.

Factor x²-6x-40

a)

(x-10)(x+4)

b)

(x+10)(x-4)

c)

(x-8)(x+5)

d)

(x+8)(x-5)

80.

Solve by completing the square.
x² + 4x= 12

a)

x = 2 and -2

b)

x = -6 and 2

c)

x = 6 and -2

d)

x = 1 and -1

81.

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

a)

True

b)

False

82.

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.

83.

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

84.

Solve by factoring: x² = 7x + 18

a)

-7 and -18

b)

9 and 2

c)

9 and -2

d)

2 and 7

85.

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

a)

-10 & -4

b)

-4 & 10

c)

-8 & 4

d)

8 & -4

86.

Solve by the Extraction of Roots method: x² = 16

a)

± 4

b)

± 8

c)

4

d)

8

87.

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

88.

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

a)

-4

b)

16

c)

4

d)

8

89.

What equation has an exponent of one and the graph of these equation results in a straight line?

a)

Cubic Equation

b)

Linear Equation

c)

Polynomial Equation

d)

Quadratic Equation

90.

Which of the following equations is the first-degree equation?

a)

$4x^3=0$

b)

$2x^2+2x-\ 6\ =\ 0$

c)

$y\ =\ 2x\ +\ 3$

d)

$\left(x+3\right)\left(x-3\right)=0$

91.

What is the equation that is also called second degree equation?

a)

Cubic Equation

b)

Linear Equation

c)

Polynomial Equation

d)

Quadratic Equation

92.

What is the quadratic equation in standard form if a = 2, b = -3 and c =-6?

a)

$x^2-3x+6=0$

b)

$2x^2-3x-6=0$

c)

$3x^2-2x+6=0$

d)

$2x^2+3x+6=0$

93.

Which are the values of a, b, and c in the equation 5x² – 2 = 0

a)

$a=\ 5,\ b\ =\ 0\ and\ c\ =-2$

b)

$a=\ 5,\ b\ =\ 0\ and\ c\ =2$

c)

$a=\ -5,\ b\ =\ 0\ and\ c\ =-2$

d)

$a=\ -2,\ b\ =\ 0\ and\ c\ =5$

94.

Which quadratic equation can be factored?

a)

5x²+ 4x + 3 = 0

b)

x²– 4x – 3 = 0

c)

5x²+ 2x - 3 = 0

d)

5x²+ 3 = 0

95.

The following are the steps solving quadratic equations using quadratic formula. Which of the following is the correct sequence?

a)

I, II, III, IV

b)

II, I, III, IV

c)

II, IV, I, III

d)

I, IV, II, III

96.

What are the roots of the equation $x^2-400=0$ ?

a)

$\pm20$

b)

$\pm400$

c)

$\pm\sqrt{20}$

d)

no real solutions

97.

Which is the quadratic term in the equation $x^2+4x+3=0$ ?

a)

0

b)

3

c)

4x

d)

$x^2$

98.

What is the value of a in the quadratic equation $7x^2-30x+75\ =0$ ?

a)

0

b)

7

c)

-30

d)

75

99.

Solve the solution by substitution:

x = 7 - 2y

2x + y = 5

a)

(-1,4)

b)

(4,-1)

c)

(1,3)

d)

(3,1)

100.

Solve the system by substitution:

x - y = 6

y - 2x = - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

101.

Solve by elimination:
7x+y=-9

-3x-y=5

a)

No solution

b)

(1,8)

c)

(-2,-3)

d)

(-1,-2)

102.

Solve by elimination:
-x+2y=17

2x+2y=-10

a)

ARN

b)

(-9,4)

c)

(-9,-4)

d)

(9,-4)

103.

What is the solution to the system?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

104.

What is the solution to this system? Solve by substitution.
y= 4x + 3
2x - 3y = 21

a)

(3,-9)

b)

(-3,-9)

c)

(-3,9)

d)

(0,1)

105.

Solve the system by elimination.

7x - y = -10

-7x + 5y = -6

a)

(-2, -4)

b)

(-2, -1)

c)

(-4, -1)

d)

(6, -8)

106.

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

107.

When using any of the 3 methods to solve a system of linear equations the resulting solution is the same no matter which method is used.

a)

True; using any method will result in the correct solution.

b)

False; the solution varies because the solution depends on which method is used.

108.

What is the first step in solving a system by Substitution?

a)

Make sure both equations are in standard form.

b)

Make sure at least one equation is solved for one variable.

c)

Make sure both equations are in slope-intercept form.

d)

Make sure both equations can be solved.

109.

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

110.

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

a)

Add the equations to eliminate y

b)

Multiply the first equation by 2

c)

Multiply the second equation by 3

d)

Add the equations to eliminate x

111.

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

a)

Add the equations to eliminate y

b)

Multiply the first equation by 2

c)

Multiply the second equation by $-3$

d)

Add the equations to eliminate x

112.

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

a)

Add the equations to eliminate y

b)

Multiply the first equation by 2

c)

Multiply the second equation by 2

d)

Add the equations to eliminate x

113.

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

a)

a fraction

b)

an ordered pair

c)

a decimal

d)

a negative number

114.

Solve the system by the elimination method.

a)

$\left(7,21\right)$

b)

$\left(3,-1\right)$

c)

$\left(1,4\right)$

d)

$\left(-2,5\right)$

115.

Solve the system by the elimination method.

a)

$\left(-2,9\right)$

b)

$\left(3,-6\right)$

c)

$\left(4,3\right)$

d)

$\left(5,2\right)$

116.

Solve the system by the elimination method.

a)

$\left(6,-2\right)$

b)

$\left(3,2\right)$

c)

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

d)

$\left(5,-4\right)$

117.

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)

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

118.

The sum of two numbers is 22. The difference of two numbers is 6.

Which system can be used to solve this problem?

a)

$x+y=22$
$x+y=6$

b)

$x-y=22$
$x-y=6$

c)

$x+y=22$
$x-y=6$

d)

$2x-y=28$
$x+2y=28$

Q. E

Total questions: 118

Worksheet time: 6hrs 5mins

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