Free Printable final revision g11 term 1

1.

What is the axis of symmetry of the given function?

a)

x = -4

b)

x = 4

c)

x = -2

d)

x = 2

2.

What are the x-intercepts for g(x) = (x + 8)(x + 2)

a)

8 and 2

b)

(8, 2)

c)

-8 and - 2

d)

(-8, -2)

3.

What are the x-intercepts?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

4.

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

a)

(5, 1)

b)

(-5, - 1)

c)

(3, -4)

d)

(-3, 32)

5.

What is the significance of the ordered pair (2, -4) to the graph?

a)

It is the vertex

b)

It is an x-intercept

c)

It is the y-intercept

d)

It is the axis of symmetry

6.

Which one is NOT a form of quadratic functions?

a)

Standard Form

b)

Factored Form

c)

Regular Form

d)

Vertex Form

7.

Find the solutions of the function $y=(x+7)(2x-1)$

a)

x= -7 and 1

b)

x= 7 and -1/2

c)

x= -7 and 1/2

d)

x= -7 and -1/2

8.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

9.

Which graph below matches up with the equation:

y = -⅕(x+6)(x+1)

a)

b)

c)

d)

10.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

11.

What are the x-intercepts?

a)

0 and 2

b)

-4 and 0

c)

2 and 3

d)

0 and 4

12.

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

a)

y-intercept

b)

vertex

c)

x-intercepts

13.

What is the axis of symmetry for this parabola?

a)

x = 2

b)

x = - 8

c)

x = -1

d)

y = -1

14.

What are the green dots called?

a)

axis of symmetry

b)

vertex

c)

parabola

d)

roots or x-intercepts

15.

Choose the correct form of the following quadratic function:

$y=\left(x+5\right)^2-1$

a)

Standard

b)

Factored

c)

Vertex

d)

Linear

16.

Choose the correct form of the following quadratic function:

y = (x + 3)(2x-5)

a)

Standard

b)

Factored

c)

Vertex

d)

Linear

17.

What is the equation of this graph?

a)

f(x) = (x -5)² + 1

b)

f(x) = (x - 1)² - 5

c)

f(x) = (x + 1)² - 5

d)

f(x) = (x + 5)² +1

18.

Which equation has a vertex of (-3, 4)?

a)

y = 2(x+3)²+ 4

b)

y = (x+3)² - 4

c)

y = (x-3)² + 4

d)

y = 2(x - 3)² + 4

19.

Which equation is graphed above?

a)

$y=-\left(x-1\right)^2+4$

b)

$y=\left(x-1\right)^2+4$

c)

$y=-\left(x-4\right)^2+1$

d)

$y=\left(x-4\right)^2+1$

20.

What is the axis of symmetry?

a)

x = 2

b)

x = 6

c)

x = 3

d)

x = 0

21.

Axis of Symmetry?

$y=-\left(x-4\right)^2-1$

a)

x = -1

b)

x = 1

c)

x = -4

d)

x = 4

22.

If the quadratic has a positive 'a' coefficient, what direction does the parabola open?

a)

Up

b)

Down

23.

What are the roots of the function
f(x)= (x - 2)(x + 3)?

a)

x = - 2 or x = 3

b)

x = 2 or x = -3

c)

The are no real roots

d)

x = 2 or x = 3

24.

What is the y-intercept of
f(x)=2x² + 4x + 6

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

25.

What are the x-intercepts of
f(x)=(x - 10)(x + 10)

a)

10

b)

(10 , 0) and (-10 , 0)

c)

(0, -10) and (0, 10)

d)

0

26.

Find the axis of symmetry for the function:
f(x) = 2x² - 4x - 6

a)

x = 1

b)

x = -1

c)

x = 4

d)

x = -4

27.

What is the vertex of
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

28.

What can we find easily in standard form?

a)

vertex

b)

zeros/x-intercepts

c)

y-intercept

29.

What can we find easily in factored form?

a)

y-intercept

b)

vertex

c)

zeros/x-intercepts

30.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

31.

What is the range of the graph?

a)

$\left(-\infty,\ \infty\right)$

b)

$\left(0,4\right)$

c)

$\left(2000,0\right)$

d)

$\left(0,\ 2000\right)$

32.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

33.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

34.

What are the decreasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,-4)

c)

(0,2)

d)

(0, -4) & (0, 2)

35.

What is the interval of constant?

a)

( 0, 5)

b)

(0, 12.5)

c)

( 0, 5)

d)

(5, 10)

36.

Based on the graph, the point ( -1.7, 10.4) is what on the graph?

a)

Absolute Maximum

b)

Local Maximum

c)

Absolute Minimum

d)

Local Minimum

37.

What is the local minimum?
Write answer as an ordered pair and use parentheses.

(a)

38.

Based on the graph, the points (-2.1, -12.3) and (2.1, -12.3) represent what on the graph?

a)

Absolute Maximim

b)

Local Maximum

c)

Absolute Minimum

d)

Local Minimum

39.

Which of the following correctly identifies the End Behavior?

a)

b)

c)

d)

40.

Give the coordinates of the y-intercept.

a)

(0,-6)

b)

(-6,0)

c)

(3,0)

d)

(0,-4)

41.

Identify the x-intercepts:

a)

No x-intercpts

b)

x = -2, x = 3, x = -8

c)

x = -2, x = 3

d)

x = -2, x = 3, x = 8

42.

Which graph has the end behavior shown?

a)

b)

c)

d)

43.

Which graph has the end behavior shown?

a)

b)

c)

d)

44.

State the Range.

a)

$\left(-\infty,\infty\right)$

b)

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

c)

$\left(3,\ \infty\right)$

d)

$\left(-\infty,0\right)$

45.

Select all the even degree functions.

a)

A

b)

B

c)

C

d)

D

46.

Which functions have a negative leading coefficient?

a)

A

b)

B

c)

C

d)

D

47.

Determine the symmetry and function type.

a)

Y-Axis and Even

b)

Odd and Origin

c)

Neither and Neither

48.

Determine the symmetry and function type.

a)

Y-Axis and Even

b)

Origin and Odd

c)

Neither and Neither

49.

Determine the symmetry and function type.

a)

Y-Axis and Even

b)

Origin and Odd

c)

Neither and Neither

50.

Select ALL symmetries displayed in the graph.

a)

symmetry with respect to the x-axis

b)

symmetry with respect to the y-axis

c)

symmetry with respect to the origin

d)

all of the above

e)

none of the above

51.

Select ALL symmetries of the graphed relation.

a)

symmetry with respect to the x-axis

b)

symmetry with respect to the y-axis

c)

symmetry with respect to the origin

d)

none of the above

52.

All even functions have symmetry to the x-axis.

a)

True

b)

False

53.

All odd functions have symmetry with respect to the origin.

a)

True

b)

False

54.

The function with the graph depicted is an even function.

a)

True

b)

False

55.

If a function has symmetry with respect to the x-axis and the point (1, 4) is on the graph, which other point must be on the graph?

a)

(-1, -4)

b)

(-1, 4)

c)

(1, -4)

d)

(4, 1)

56.

If a function has symmetry with respect to the origin and the point (-3, 5) is on the graph, which other point must be on the graph?

a)

(-5, 3)

b)

(5, -3)

c)

(3, -5)

d)

(-3, 5)

57.

If a function is an even function and the point (-2, 7) is on the graph, which other point must be on the graph?

a)

(-2, -7)

b)

(2, 7)

c)

(2, -7)

d)

(-7, 2)

58.

Give the name of the parent function of

y=x^2-1

a)

Linear

b)

Logarithmic

c)

Cubic

d)

Quadratic

59.

Give the name of the parent function of

y=2\left|x-5\right|

a)

Constant

b)

Logarithmic

c)

Absolute Value

d)

Rational

60.

Give the name of the parent function of

y=-8

a)

Constant

b)

Linear

c)

Absolute Value

d)

Cubic

61.

Identify the parent function of the graph.

a)

Quadratic

b)

Square Root

c)

Absolute Value

d)

Cubic

62.

Identify the parent function of the graph.

a)

Quadratic

b)

Rational

c)

Absolute Value

d)

Cubic

63.

Identify the parent function of the graph.

a)

Rational

b)

Cubic

c)

Exponential

d)

Sine

64.

Identify the parent function of the graph.

a)

Rational

b)

Logarithmic

c)

Exponential

d)

Square Root

65.

Identify the parent function of the graph.

a)

Linear

b)

Logarithmic

c)

Exponential

d)

Square Root

66.

Which of the following parent functions does not have a domain

\left(-\infty,\infty\right)

?

a)

b)

c)

d)

67.

Which of the following parent functions has a range of $\left(0,\infty\right)$

a)

b)

c)

d)

68.

Which of the following parent functions have a range of $\left[0,\infty\right)$ ? Select all that apply.

a)

b)

c)

d)

69.

What is the degree of the polynomial function below?
y = x³ + 4x - 5

a)

3

b)

4

c)

5

d)

98.6

70.

What does the degree of a polynomial function tell you?

a)

how hot it is

b)

how many x-intercepts it can have

c)

how many y-intercepts it has

d)

how many terms it has

71.

What are the x-intercepts of the following function?
y = 2(x - 1)(x +3)(x - 4)

a)

1, 3 and 4

b)

2, 1, -3, and 4

c)

-1, 3, and -4

d)

1, -3, and 4

72.

What could be the equation for this graph?

a)

y = -2x³+ 1x + 3

b)

y = (x - 2)(x + 1)(x + 3)

c)

y = (x + 2)(x - 1)(x - 3)

d)

y = -2x² + 1x + 3

73.

Which standard form function matches the factored form:
y = (x + 1)(x - 3)

a)

y = x² + x - 3

b)

y = x - 2

c)

y = x² - 2x - 2

d)

y = x² - 2x - 3

74.

What is the degree of the function graphed here?

a)

2

b)

3

c)

4

d)

5

75.

Classify the function:

a)

quadratic

b)

cubic

c)

quartic

d)

linear

76.

Find the standard form of the function graphed here:

a)

y = x⁴ + 4

b)

y = x⁴ - 3x³ + 4

c)

y = x⁴ - 5x² + 4

d)

y = x⁴ - 5x³ + 4x

77.

Find the factored form of the function graphed:

a)

y = -(x + 1)(x - 1)(x - 2)

b)

y= (x + 1)²(2 - x)

c)

y = (-x + 1)²(x - 2)

d)

y = -(x - 1)²(x + 2)

78.

Which of the following helps determine end behavior?

a)

The leading coefficient

b)

The number of terms in the function

c)

The y-intercept

d)

The x-intercepts

79.

Select all the even degree functions.

a)

A

b)

B

c)

C

d)

D

80.

What is the domain of this function?

a)

[-4, 5)

b)

(-4, 5]

c)

[-4, 5]

d)

(-4, 5)

81.

What is the range of this function?

a)

$-3<x<3$

b)

$-3\le x\le3$

c)

$-3<y<3$

d)

$-3\le y\le3$

82.

What are the transformations of this functions compared to the parent function y = √(x)?

a)

Shifted right 5, shifted down 2, and reflected over the x-axis

b)

Reflected over the x-axis, vertical stretch, and shifted right 5

c)

Reflected over the x-axis, vertical stretch, and shifted left 5

d)

Shifted right 5, shifted down 2

83.

Describe the transformation of y = f(x) for the new function
y = f(x) - 5

a)

The graph of y = f(x) was shifted to the right 5 units.

b)

The graph of y = f(x) was shifted to the left 5 units.

c)

The graph of y = f(x) was shifted up 5 units.

d)

The graph of y = f(x) was shifted down 5 units.

84.

Which equation describes the transformation of shifting f(x)=x² two units right?

a)

x² + 2

b)

x² - 2

c)

(x + 2)²

d)

(x - 2)²

85.

What are the transformations?
y=3(x-4)²?

a)

horz shift right 4, vert stretch by a factor of 3

b)

horz shift left 4, vert stretch by a factor of 3

c)

horz shift right 4, vert stretch by a factor of 1/3

d)

horz shift right 4, vert shift up 3

86.

Describe the transformation of y = f(x) for the new function
f(x) = ⅔(x - 7)²

a)

Shrink of ⅔
Right 7

b)

Shrink of ⅔
Left 7

c)

Stretch of ⅔
Right 7

d)

Stretch of ⅔
Left 7

87.

Describe the transformation of y = f(x) for the new function
f(x) = 5x² + 2

a)

Stretch of 5
Up 2

b)

Shrink of 5
Up 2

c)

Stretch of 5
Down 2

d)

Shrink of 5
Down 2

88.

Given f(x) = (x-3)² + 5. What transformations took place from the original function f(x)?

a)

Left 3 and up 5

b)

Right 3 and down 5

c)

Left 3 and down 5

d)

Right 3 and up 5

89.

If the blue graph is f(x) (the original function) and the red graph is the transformation, what is the equation of the red graph?

a)

-f(x)

b)

f(-x)

c)

f^-1(x)

d)

f(2x)

90.

The blue function is the original function f(x) = x³. Which of the following is the correct equation for the red function, g(x)?

a)

g(x)=x³+1

b)

g(x)=x³-1

c)

g(x)=(x-1)³

d)

g(x)=(x+1)³

91.

Identify the transformation from the graph of f(x)=x²to the graph g(x)= -(x+5)²

a)

shifted up five units
reflection in x-axis

b)

shifted down five units
reflection in x-axis

c)

shifted left 5 units
reflection x-axis

d)

shifted right 5 units
reflection x-axis

92.

The original function has equation f(x). State the transformations given the new function f(x) = ⅔(x - 7)²

a)

Vertical Shrink of ⅔
Right 7

b)

Horizontal Shrink of ⅔
Left 7

c)

Left ⅔
Vertical stretch of 7

d)

Right ⅔
Horizontal stretch of 7

93.

If the original function is f(x) then state the transformation that takes f(x) to g(x) = |-x + 3|

a)

Reflect over y-axis
Left 3

b)

Reflect over y-axis
Right 3

c)

Reflect over x-axis
Left 3

d)

Reflect over x-axis
Right 3

94.

The vertex of the quadratic function f(x) in the picture is (-4, 5). If g(x) = f(x + 2) , what is the vertex of g(x)?

a)

(-2, 5)

b)

(-6, 5)

c)

(-4, 3)

d)

(-4, 7)

95.

Describe the transformations that maps
y = g(x) to y = - g(x + 6) - 10

a)

Reflect over y-axis
Shifted down 10 units
Shifted left 6 units

b)

Reflect over x-axis
Shifted up 10 units
Shifted left 6 units

c)

Reflect over y-axis
Shifted up 10 units
Shifted right 6 units

d)

Reflect over x-axis
Shifted down 10 units
Shifted left 6 units

96.

Describe the transformation of y = f(x) to the new function
y = f(1/5x)

a)

Horizontal shrink by a factor of 1/5

b)

Vertical stretch be a factor of 5

c)

Vertically shrink by a factor of 1/5

d)

Horizontal stretch by a factor of 5

97.

Use graphing to find the x-coordinate of the solution

(a)

98.

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

a)

(3, -1)

b)

(-1, -3)

c)

(-1, -1)

d)

(-1, 3)

99.

Use graphing to find the x-coordinate of the solution.

(a)

100.

Use graphing to find the x-coordinate of the solution.

(a)

101.

Use substitution to find the solution to the system. Write your answer as (x,y)

(a)

102.

Find the solution to the system using substitution. Write you answer as (x,y)

(a)

103.

Use substitution to find the solution to the system. Write you answer as (x,y).

(a)

104.

Solve the system using elimination. Write the answer as (x,y).

(a)

105.

Use elimination to solve the system. Write the answer as (x,y).

(a)

106.

Solve the system using elimination

2x + 3y = 6

x + 2y = 5

a)

( 4 , -3 )

b)

( -3 , 4 )

c)

( 3 , 4 )

d)

( 4 , 3 )

107.

Solve the system below using substitution or elimination.

7x - 5y = -24

-9x + 5y = 18

a)

(3, 9)

b)

(-3, -5/3)

c)

(3, 11)

d)

(3, -11)

108.

Solve the system using substitution or elimination:

2x + 3y = -2

3x - 2y = 23

a)

(5, -4)

b)

(-4, 5)

c)

(-5, 4)

d)

infinite solutions

109.

Solve the system of equations below using substitution or elimination:

4x-6y= -6

-2x-12y= -12

a)

(0,1)

b)

(1,0)

c)

(1,1)

d)

(2,1)

110.

Which system of linear inequalities is represented by the graph?

a)

y≤2x-1
y>-2x+3

b)

y>2x-1
y≤-2x+3

c)

y<2x-1
y≥-2x+3

d)

y≤2x-1
y>2x+3

111.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

112.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

113.

Which is the graph of the system of inequalities?

a)

b)

c)

d)

114.

Which system of inequalities represents the graph.

a)

3x + y ≥ 3
x - y < -3
y ≥ -4

b)

3x + y ≤ 3

x - y > -3
y ≥ -4

c)

3x + y < 3
x - y ≥ -3
y > -4

115.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

116.

The perimeter of a rectangle is 62 units. The width is 5 less than three times the length. Find the length and width of the rectangle.

a)

length = 15

width = 16

b)

length = 10

width = 21

c)

length = 20

width = 6

d)

length = 9

width = 22

117.

Find the y for the solution of the system

3x + y = –21

x + y = –5

a)

8

b)

-3

c)

-8

d)

3

118.

For the solution (x,y) to the system of equations, what is the value of x + y

3x + y = 19

2x - y = 6

a)

-19

b)

-9

c)

9

d)

19

119.

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

a)

(-7,0)

b)

(6,0)

c)

(-6,0)

d)

(7,0)

120.

Solve by elimination:
-9x-4y=-20

5x+4y=4

a)

(-4,4)

b)

(4,4)

c)

(4,-4)

d)

(-4,-4)

121.

The talent show committee sold a total of 530 tickets in advance. Student tickets cost $3 each and the adult tickets cost $4 each. If the total receipts were $1740, how many of each type of ticket were sold?

a)

S + A = 530
3S + 4A = 1740

b)

S + A = 530
4S + 3A = 1740

c)

S + A = 1740
3S + 4A = 530

d)

S + A = 1740
4S + 3A = 530

122.

1. The cost of 5 squash and 2 zucchini is $1.32. Three squash and 1 zucchini cost $0.75. Write a system of equations.

a)

5q + 2z = 1.32
1z = 0.75

b)

5q + 2z = 1.32
3q + 1z = 0.75

c)

q + z = 1.32
q + z = 0.75

d)

5q + 2z = 0.75
3q + 1z = 1.32

123.

To eliminate a variable in the system, should you add the equations or subtract the equations?

a)

Add

b)

Subtract

c)

Neither

124.

Solve the system of equations:
−6x + 6y = 0
9x − 8y = 4

a)

(4, −9)

b)

Infinite number of solutions

c)

(−9, 4)

d)

(4, 4)

125.

What would be the first step in finding the solution using elimination?

2x + 2y = -2

3x - 2y = 12

a)

you cannot solve this using elimination

b)

cross out the 2x and 3x

c)

Add the like terms. The y terms will zero out.

d)

change to slope intercept form and graph

126.

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

a)

No solution

b)

Infinite number of solutions

c)

(-3,3)

d)

(3,3)

127.

Amy sold 10 packages of sugar cookies and 2 packages of oatmeal cookies for $56. Adam sold 9 packages of sugar cookies and 3 packages of oatmeal cookies for $60. What is the price of 1 pack of sugar cookies and 1 pack of oatmeal cookies?

a)

Sugar Cookies $5
Oatmeal Cookies $3

b)

Sugar Cookies $4
Oatmeal Cookies $8

c)

Sugar Cookies $2
Oatmeal Cookies $6

d)

Sugar Cookies $3
Oatmeal Cookies $6

128.

Your family goes to a restaurant for dinner. There are 6 people in your family. Some order the chicken dinner for $14.80 and some order steak for $17. If the total bill was $91, how many of each kind of dinner was purchased?

a)

3 chicken, 3 steak

b)

5 chicken, 1 steak

c)

1 chicken, 5 steak

d)

4 chicken, 2 steak

129.

Which of the following is not a method for solving systems of equations

a)

Elimination

b)

Substitution

c)

Estimation

d)

Graphing

130.

On the first night, the Movie House Theater sold 7 adult tickets and 11 child tickets for $227. On the second night they took in $150 by selling 6 adult tickets and 6 child tickets. Find the price of an adult ticket and the price of a child ticket.

a)

Adult $13
Child $5

b)

Adult $10
Child $6

c)

Adult $8
Child $16

d)

Adult $12
Child $13

131.

What is your "favorite" way to solve linear systems?

a)

elimination

b)

substitution

c)

graphing

d)

equal values method

132.

What is the solution to this system of equations?

a)

(4, -1)

b)

(-1, 4)

c)

(-4, 1)

d)

(-4, -1)

133.

Solve the system of equations.
x + 2y = -3
x - y = -12

a)

(-9, 3)

b)

(-7 ,5)

c)

(3, 15)

d)

(9, 6)

134.

Solve the system of equations.
y = 4x+1
3x + 2y = 13

a)

(1, 5)

b)

(5, 1)

c)

(0.25, 2)

d)

∅

135.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

136.

On Monday Joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of $14.25. Which equations could be used to determine the cost of the coffee?

a)

10c + 5d = 14.25
5c + 10d = 16.50

b)

10c + 5d = 16.50
5c + 10d = 14.25

c)

c + d = 10
5c + 10d = 16.50

d)

c + d = 5
5c + 10d = 16.50

137.

Solve:
x + y = 4
-5x - 6y = -18

a)

(6, -2)

b)

(-6, 10)

c)

(2, 2)

d)

(-2, 6)

138.

When both lines in a system are identical, the system has __________________.

a)

infinite solutions

b)

one solution

c)

no solution

d)

parallel solutions

139.

Solve this system:
$5x+3y=8$
$3x-3y=0$

a)

(1,3)

b)

(1,-3)

c)

(1,1)

d)

(8,0)

140.

Solve for x and y.
y = 2/3x - 2
y = -x + 3

a)

(0,3)

b)

(0,-3)

c)

(3,0)

d)

(-3,0)

141.

How do we undo something that is squared?

a)

Multiplication

b)

Square it

c)

Take the square root

d)

Division

142.

What is the difference between a root and a square root?

a)

A root is half of a square root

b)

A root is a solution and square root undoes a square

c)

A root undoes a square and a square root is solution

d)

They are the same thing

143.

How do we solve for x?

a)

It is already solved

b)

Divide it by 2

c)

Square it

d)

Take the square root

144.

What are the roots of this Quadratic Equation?

a)

x = 6

b)

x = 4

c)

x = - 4

d)

x = -6

145.

What is the first step for finding the roots of the quadratic equation?

a)

subtract 3 to both sides

b)

add 3 to both sides

c)

take the square root of both sides

d)

divide by 2

146.

What are the roots of this quadratic equation?

a)

x = - 6

x = 2

b)

x = 2,

x = - 4

c)

x = -2,

x = 4

d)

x = -2,

x = 6

147.

For this quadratic equation, we said that there are NO REAL SOLUTIONS. Why did we say that?

a)

Because 3 goes into 9, so those cancel out

b)

Because we cannot take the square root of a negative number

c)

Because a has to be equal to 1

d)

Because there is no c value

148.

What is the error made when saving this quadratic equation?

a)

There should be 2 answers, because the square root of 9 is -3 and 3

b)

Taking the square root should always be the first step

c)

21 -3 is not 18 so that was a mistake from the start

d)

The answer should be x = - 4 because the square root of 9 is -3

149.

What is the error made when solving this quadratic equation?

a)

The answer should only be -2 since the square root of -4 is -2

b)

The answer should only be 2, because the native cancels out, since we took the square root of a negative

c)

There is no error, everything was done correctly

d)

The answer should be no real solutions, since we can't take the square root of a negative

150.

So far, which methods of SOLVING Quadratic Equations have we learned?

a)

Factoring

b)

Quadratic Formula

c)

Square Roots

d)

Graphing on Calculators

e)

Rainbow Method

151.

What are the solutions of this quadratic equation?

a)

x = 49

b)

x = 11

c)

x = -3

d)

x = 3

e)

x = -11

152.

Find the zeros of this quadratic equation

a)

b)

c)

d)

153.

Solve this quadratic equation

a)

b)

c)

d)

e)

154.

Find the roots of the quadratic equation

a)

b)

c)

d)

e)

155.

Find the zeros of this quadratic equation

a)

x = -4,

x = 11

b)

x = -8,

x = 8

c)

x = -4,

x = 12

d)

x = 8,

x = -12

e)

x = 12

x = 4

156.

Find the roots of the quadratic equation

a)

b)

c)

d)

e)

157.

The discriminant is

a)

ax² + bx + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

158.

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

a)

101; 2 real roots

b)

3; 2 real roots

c)

-101; 2 imaginary roots

d)

-3; 2 imaginary roots

159.

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

a)

x = -2, 3

b)

x = 2, 3

c)

x = 2, -3

d)

x = -2, -3

160.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

2 Complex (imaginary) Solutions

161.

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

a)

True

b)

False

162.

Solve using the Quadratic Formula.

a)

A

b)

B

c)

C

d)

D

163.

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

a)

x = (2 ± 2i√10)/2

b)

x = (4 ± √40)/4

c)

x = (2 ± i√10)√/2

d)

x = (2 ± 2i√40)/4

164.

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

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

165.

If the discriminant is equal to 4, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

166.

Solve using the Quadratic Formula.

a)

A

b)

B

c)

C

d)

D

167.

Use the quadratic formula to determine the solutions to the equation 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

168.

Solve x² - 5x + 10 = 0.

a)

x = (5 - i√15)/2, (5 + i√15)/2

b)

x = (5 - √15)/2, (5 + √15)/2

c)

x = (5 - i√65)/2, (5 + i√65)/2

d)

x = (5 - √65)/2, (5 + √65)/2

169.

Solve for x:

3x² - 6x + 6 = 0

a)

x = 1± i

b)

x = 3, -6

c)

x = 4.8, 2.7

d)

Undefined

170.

$2x^2-36=x$

a)

$x=\frac{-9}{2}and\ 4$

b)

$x=\frac{9}{2}\ and\ -4$

c)

$x=4\ and\ -4$

d)

No real solution

171.

Why are quadratic equations set equal to zero?

a)

Because zero is an easy number to work with.

b)

Because we are trying to find the x-intercepts and that happens when y = 0.

c)

Because setting it equal to zero helps us find the y-intercepts.

d)

None of the above

172.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

173.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

174.

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

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

175.

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

176.

Determine the value of the discriminant and describe the number and type roots for the following:

x² + 7x + 13

a)

101, 2 real roots

b)

3, 2 real roots

c)

-101, 2 imaginary roots

d)

-3, 2 imaginary roots

177.

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

a)

-2, 3

b)

2, 3

c)

2, -3

d)

-2, -3

178.

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.

179.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

2 Complex (imaginary) Solutions

180.

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

a)

True

b)

False

181.

a)

A

b)

B

c)

C

d)

D

182.

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

183.

What is the formula for the discriminant?

a)

x = -b/2a

b)

b² - 4ac

c)

a² + b² = c²

d)

x = [-b±√(b²-4ac)]/2a

184.

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

a)

No solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite solutions

185.

If the discriminant is equal to 4, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

186.

If the discriminant is equal to -2, how many solutions are there?

a)

No Solutions

b)

1 Solution

c)

2 Solutions

d)

Infinite Solutions

187.

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

188.

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

189.

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

190.

What is the discriminant of this equation?

3x² + 8x = 0

a)

64

b)

52

c)

9

d)

0

191.

What is the discriminant of this equation?

-5x² - 6 = 0

a)

120

b)

36

c)

16

d)

-120

192.

When in standard form, what is the value of a, b and c in this quadratic?

7x² - 4x + 3 = 5x² + 8

a)

a = 2 b = -4 c = -5

b)

a = 7 b = -4 c = 3

c)

a = 2 b = -4 c = 5

d)

a = 12 b = -4 c = -5

final revision g11 term 1

Total questions: 192

Worksheet time: 19hrs 41mins

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