Free Printable Alg 2 MYE Review

1.

a)

A

b)

B

c)

C

d)

D

2.

a)

A

b)

B

c)

C

d)

D

3.

a)

A

b)

B

c)

C

d)

D

4.

a)

A

b)

B

c)

C

d)

D

5.

a)

A

b)

B

c)

C

d)

D

6.

a)

A

b)

B

c)

C

d)

D

7.

a)

A

b)

B

c)

C

d)

D

8.

a)

A

b)

B

c)

C

d)

D

9.

a)

A

b)

B

c)

C

d)

D

10.

a)

A

b)

B

c)

C

d)

D

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

a)

A

b)

B

c)

C

d)

D

14.

Identify the leading coefficient of: y = 16x² -8x -24

a)

16

b)

8

c)

-8

d)

-24

15.

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

a)

16

b)

-8

c)

8

d)

-24

16.

Which equation below is a quadratic?

a)

y=9x+5

b)

y=3x²-6

c)

y=5x³+6

d)

x=3^x

17.

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

a)

x = -4

b)

x = 4

c)

y = 4

d)

y = -4

18.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

19.

What is the vertex?

a)

(2, 4)

b)

(3, -1)

c)

(0, 8)

d)

(4, 2)

20.

What is the vertex of y=x²+4x+3?

a)

(2,1)

b)

(-2,1)

c)

(0,0)

d)

(-2,-1)

21.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

22.

Which of the following is the factored form of x³ – 125?

a)

(x - 5)³

b)

(x - 5)(x² + 25)

c)

(x - 5)(x² + 5x + 25)

d)

(x - 5)(x² - 5x + 25)

23.

Steffen graphed two lines in order to find the solution to a given system of equations.
What is the solution?

a)

(-3,-8)

b)

(-8,-3)

c)

(3,-8)

d)

(8,3)

24.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

25.

Solve for x and y
2x − 3y = −1
y = x − 1

a)

(-2,-3)

b)

(0,-1)

c)

(3,4)

d)

(4,3)

26.

There are 15 animals in a barn. These animals are horses and chickens. There are 44 legs in all. Which system of equations represents the situation?

a)

x + y = 15
4x + 2y = 44

b)

4x + 2y = 15
x + y = 44

c)

x = 2y + 44
4x = y + 15

d)

2x - 4y = 44
x - y = 15

27.

What is the definition of function?

a)

Has inputs and outputs

b)

Every input has only ONE output

c)

Inputs have different outputs every time

d)

x-values and y-values

28.

Is this mapping a function or not a function?

a)

Function

b)

Not a Function

29.

All of the y values or outputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

30.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

31.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

32.

What is the inverse of the given coordinates: (1, 2) (3, 8) (-3, 6)

a)

(1, 2) (3, 8) (-3, 6)

b)

(1, 2) (8, 3) (-3, 6)

c)

(-1, -2) (-3, -8) (3, -6)

d)

(2, 1) (8, 3) (6, -3)

33.

Domain is:

a)

All x values, from left to right.

b)

All y values, from bottom to top.

c)

All x values from bottom to top.

d)

All y values from left to right.

34.

Can you use the symbols [ or ]
with infinity?

a)

Yes

b)

No

35.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

36.

$4+36\ \div\ \left(10-8\right)^2\ \times3\ +\ 7$

a)

37

b)

38

c)

100

d)

130

37.

$f\left(x\right)=-3x+2x-5$
$What\ is\ f\left(-1\right)?$

a)

-16

b)

-10

c)

-6

d)

-4

38.

Which statement is true about the characteristics of the three lines in the graph?

a)

They have the same equation.

b)

They have the same slope.

c)

They have the same x-intercept.

d)

They have the same y-intercept.

39.

What is the equation of the line of the graph?

a)

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

b)

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

c)

$y\ =\ -3x\ +\ 1$

d)

$y\ =\ -3x\ +\ 3$

40.

$y\ +\ 5\ =\ \frac{1}{3}\left(x-9\right)$

Which equation is the same as the above equation, in slope-intercept form?

a)

$y\ =\ \frac{1}{3}x\ -14$

b)

$y\ =\ \frac{1}{3}x\ -8\$

c)

$y=\ \frac{1}{3}x\ -4$

d)

$y\ =\ \frac{1}{3}x\ +\ 2$

41.

Which describes the relationship between the two lines?

y\ =\ 2x\ -3\

y=\ \frac{1}{2}x\ +\ 3

a)

The lines are parallel.

b)

The lines are perpendicular.

c)

The lines intersect, but are not perpendicular.

d)

The lines are the same.

42.

Which equation has a slope of -2/7 and contains the point (5, -6) ?

a)

y\ +6\ =\ -\frac{2}{7}\left(x-5\right)

b)

$y-6\ =\ -\frac{2}{7}\left(x+5\right)$

c)

$y+5=-\frac{2}{7}\left(x-6\right)$

d)

$y-5=-\frac{2}{7}\left(x+6\right)$

43.

$z^{t\ }\cdot\ z^5\ =\ z^{15}$ What is the value of t in this equation?

a)

3

b)

10

c)

20

d)

75

44.

$\left(a^3b^4c^6\right)\left(4ac^3\right)^2$ Which expression is equivalent to this expression?

a)

$16a^5b^4c^{12}$

b)

$16a^3b^4c^{12}$

c)

$8a^3b^4c^{11}$

d)

$4a^5b^4c^{12}$

45.

$3^0\left(3^{-2}\right)$ Evaluate the expression

a)

$-9$

b)

$0$

c)

$\frac{1}{9}$

d)

$\frac{1}{81}$

46.

Expand the expression $\left(5x-6\right)^2$

a)

$25x^2+36$

b)

$25x^2-36$

c)

$25x^2-60x-36$

d)

$25x^2-60x+36$

47.

What is the solution set to x² = 2x – 5?

a)

{±i}

b)

{2 ± 2i}

c)

{1 ± 2i}

d)

{1, 2}

48.

Add or Subtract to Simplify:
(4n⁴ - 8n + 4) - (8n² + 4n⁴ + 1)

a)

-8n² - 8n + 3

b)

-7n² - 8n + 3

c)

-6n²- 8n + 3

d)

-7n² - 4n + 3

49.

What is the domain of the function?

*Hint: Domain is the set of all x-values included in the function.

a)

(-∞,3)

b)

(3,∞)

c)

(-∞,+∞)

d)

(-1,5)

50.

What is the range of the function?

*Hint: Range is all of the y-values included in the function.

a)

(-∞,3]

b)

[3,∞)

c)

(-∞,∞)

d)

(0,3)

51.

What are the roots of the graph?

a)

(3,-4)

b)

x=3

c)

(0,1) (0,5)

d)

(1,0) (5,0)

52.

What is the domain?

a)

{-2, -1, 0, 1, 8}

b)

{3, 5, 7 , 9, 0}

c)

{-2, -1, 0, 1, 3, 5, 7, 8, 9}

d)

{-2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9}

53.

What is the range of this function?

(2, 4), (5, 5), (8, 6), (11, 7)

a)

{1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11)

b)

{2, 5, 8, 11}

c)

{4, 5, 6, 7}

d)

{2, 4, 5, 8, 6, 11, 7}

54.

What is the domain?

a)

-3 < y ≤ 3

b)

-4 ≤ y ≤ 5

c)

-4 ≤ x ≤ 5

d)

-3 < x ≤ 3

55.

What is the domain of the graph?

a)

[-7, 5)

b)

(-7, 5]

c)

[-3, 1)

d)

(-3, 1]

56.

What is the range of the graph?

a)

y≥1

b)

x≥1

c)

All real numbers

d)

none of these

57.

$f\left(x\right)=x^2+4$

Describe the transformation from the parent function.

a)

Shift up 4

b)

Shift down 4

c)

Shift right 4

d)

Shift left 4

58.

$f\left(x\right)=-\ \sqrt[]{x+2}$

Describe the transformations to the parent function.

a)

Reflect vertically, shift left 2.

b)

Reflect vertically, shift right 2.

c)

Reflect vertically,

shift up 2.

d)

Reflect vertically,

shift down 2.

59.

$f\left(x\right)=-\left(x-3\right)^2$

Describe the transformation from the parent function.

a)

Reflect vertically, shift 3 down

b)

Reflect horizontally,

shift 3 down

c)

Reflect vertically,

shift 3 right

d)

Reflect horizontally,

shift 3 right

60.

$f\left(x\right)=\sqrt[]{x}+1,\ g\left(x\right)=4x$

Find $f\left(g\left(1\right)\right)$

a)

3

b)

8

c)

4

d)

2

61.

$f\left(x\right)=\sqrt[]{x}+1,\ g\left(x\right)=4x$

Find $g\left(f\left(4\right)\right)$

a)

12

b)

5

c)

3

d)

16

62.

$f\left(x\right)=\sqrt[]{x}+1,\ g\left(x\right)=4x$

Find $g\left(g\left(4\right)\right)$

a)

64

b)

17

c)

12

d)

16

63.

$f\left(x\right)=\sqrt[]{x}+1,\ g\left(x\right)=4x$

Find $f\left(g\left(x\right)\right)$

a)

$\sqrt[]{4x}+1$

b)

$4\left(\sqrt[]{x}+1\right)$

c)

$\left(\sqrt[]{x}+1\right)\left(4x\right)$

d)

3

64.

$f\left(x\right)=x^2+2x-1,\ g\left(x\right)=x+1$

Find $g\left(f\left(3\right)\right)$

a)

15

b)

23

c)

14

d)

4

65.

$f\left(x\right)=x^2+2x-1,\ g\left(x\right)=x+1$

Find $g\left(f\left(x\right)\right)$

a)

$x^2+2x$

b)

$x^2+4x+2$

c)

$x^2+2x+2$

d)

$x^2+3x$

66.

$f\left(x\right)=x^2+2x-1,\ g\left(x\right)=x+1$

Find $f\left(f\left(-2\right)\right)$

a)

-1

b)

-9

c)

-2

d)

-4

67.

$f\left(x\right)=2x+1,\ g\left(x\right)=3x-7$

Find $f\left(g\left(x\right)\right)$

a)

$6x-13$

b)

$6x-4$

c)

$6x^2-11x-7$

d)

$5x-6$

68.

Which function is quadratic?

a)

f(x)

b)

h(x)

c)

g(x)

69.

What is f when x equals 0?

a)

-5

b)

0

c)

1/2

d)

1

70.

What is f(-1)?

a)

6

b)

-2

c)

sqrt(2)

d)

DNE

71.

a)

A

b)

B

c)

C

d)

D

72.

What are the domain restrictions for the green piece of this function?

a)

-2 < x ≤ 1

b)

-1 < x ≤ 0.5

c)

x > -2

d)

x ≤ 1

73.

What best describes the transformation shown in t(x)?

a)

Vertical Stretch with k = 5

b)

Vertical Compression with k = (1/5)

c)

Horizontal Compression with k = (1/5)

d)

Horizontal Stretch with k = 5

74.

a)

A

b)

B

c)

C

d)

D

75.

A house painter charges $12 per hour for the first 40 hours he works, $18 for the ten hours after that, and $24 for all hours after that.

How much does he earn for a 70 hour week?

a)

$1020

b)

$1140

c)

$840

d)

He works for free!

76.

Which of the piecewise functions matches this graph?

a)

b)

c)

d)

77.

If the blue is f(x)=x^2,the red must be

a)

g(x)=(x+3)²

b)

g(x)=(x-3)²

c)

g(x)=x²+3

d)

g(x)=x²-2

78.

Which equation matches the following transformation: up 4, vertical stretch by 3, reflected across the x-axis, and left 1

a)

$f\left(x\right)=-3\left(x+1\right)^2+4$

b)

$f\left(x\right)=-4\left(x+3\right)^2+1$

c)

$f\left(x\right)=-\left(x+4\right)^2+3$

d)

$f\left(x\right)=3\left(x+1\right)^2+4$

79.

Which of the following represents direct variation?

a)

y = kx

b)

y = k/x

c)

y = x/k

d)

y = mx + b

80.

Is the given table a direct variation? If so, what is the constant of variation?

a)

Yes; 1/3

b)

Yes; 3

c)

Yes; 5

d)

No

81.

a)

A.

b)

B.

c)

C.

d)

D.

82.

Was the inverse function found correctly?

a)

no,

b)

yes

83.

How should we set up the following inequality in order to solve it? $\left|2x+1\right|\ge4$

a)

$-4\ge2x+1\ge4$

b)

$2x+1\ge4\ \ or\ \ 2x+1\le-4$

c)

$-4\le2x+1\le4$

d)

$2x+1\ge-4\ \ or\ \ 2x+1\le4$

84.

|b-8|+10>22

a)

-4<b<20

b)

b<-4 or b>20

c)

20<b<-4

d)

b=-4 or b=20

85.

Select the correct graph.

a)

b)

86.

Select the correct graph.

a)

b)

c)

87.

Select the correct graph.

a)

b)

c)

88.

Find the values of x and y that maximize the objective function P = 3x + 2y for the graph. What is the maximum value?

a)

maximum value at (5, 4); 32

b)

maximum value at (0, 8); 16

c)

maximum value at (9, 0); 27

d)

maximum value at (0, 0); 0

89.

Solve the system of inequalities by graphing.

a)

b)

c)

d)

90.

Find the solution(s) to this quadratic equation

a)

±1.5

b)

1.5

c)

±1

d)

No real solution

91.

If the discriminant is negative, then the quadratic has:

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solutions

92.

Solve by taking the square root:

(x + 1) ² = 25

a)

± 5

b)

4 or -6

c)

-4 or 6

d)

± 4

93.

i^{89}

a)

1

b)

-1

c)

$i$

d)

$-i$

94.

Calculate(Divide, multiply by conjugate):

a)

12/5 − 4/5i

b)

-8/10i − 4/5

c)

-4/5 + 12/5i

d)

12/5 + 4/5i

95.

⅖(x + 3)² + 8 = -32

a)

x = 3 ± 10i

b)

x = ±13i

c)

x = -3 ± 10i

d)

x = ±i√10

96.

Calculate(Divide, multiply by conjugate):

a)

-3/4 − 1/4i

b)

3/4 + 1/4i

c)

-3/4 + 1/4i

d)

3/4 − 1/4i

97.

a)

b)

c)

d)

98.

a)

b)

c)

2x⁴y⁴

d)

2

99.

a)

A

b)

B

c)

C

d)

D

100.

Write the following expression in radical form:

a)

a.)

b)

b.)

c)

c.)

d)

d.)

101.

Simplify:

a)

2

b)

8

c)

16

d)

32

102.

Simplify the following expression:

a)

5

b)

25

c)

125

d)

625

103.

Find a quadratic model for this data.

a)

y=16x²+400

b)

y=-16x²+400

c)

y=-4.9x²+400

d)

h=t

104.

Use the model y=-16x²+400 to predict when the object will hit the ground.

It will hit the ground after (a) seconds.

105.

Use the model y=-16x²+400. How high was the object when it was dropped?

It was dropped at (a) feet.

106.

Find the linear equation that best fits the data set.

a)

y=11.14x+309.77

b)

y=11.14x²+309.77x

c)

y=10x+500

d)

y=11.14x²+500

107.

The table below shows the 2014 postage rates for mailing first-class envelopes. Using the line of best fit, which value represents the postage rate of a 14 ounce envelope? (Hint: use the graphing calculator to compute a linear regression)

a)

$3.50

b)

$3.71

c)

$2.73

d)

$2.94

108.

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

a)

$-18x^2+2.11x+4.21$

b)

$-0.06x^2+1.06x+7.9$

c)

$-6x^2+1.06x+79$

d)

$-0.12x^2+2.11x+4.22$

109.

Find the quadratic regression equation for the relationship of the horizontal distance and the height of the ball in the provided table.

a)

$-18x^2+2.11x+4.21$

b)

$-0.06x^2+1.06x+7.9$

c)

$-6x^2+1.06x+79$

d)

$-0.12x^2+2.11x+4.22$

110.

Find the height of the ball when it traveled a distance of 10 feet.

a)

12.8 ft

b)

13.5 ft

c)

11.1 ft

d)

17 ft

111.

Find the best fitting quadratic model for the data given.

a)

$1.2x^2+13x+504.3$

b)

$12x^2+13x+504.3$

c)

$0.12x^2+1.3x+504.3$

112.

Find the population for 1975. You will need the quadratic regression equation you found in a previous problem.

HINT: Read the headers on the table!

a)

623 thousand people

b)

650 thousand people

c)

599 thousand people

d)

513 thousand people

113.

Divide: $\frac{2x^4-9x^3+21x^2-26x+12}{2x-3}$

a)

$x^3-3x^2+6x-4$

b)

$2x^3-6x^2+12x-8$

c)

$x^4-3x^3+6x^2-4x$

d)

$2x^4-6x^3+12x^2-8x^{ }$

114.

Divide: $\frac{x^4+2x^3+2x+4}{x+2}$

a)

$x^3+2x^2$

b)

$x^3+2$

c)

$x^3+4x^2+8x+18+\frac{42}{x+2}$

d)

$x^3+4x^2+10x+24$

115.

Divide: $\frac{27x^3+64}{3x+4}$

a)

$27x^2-36x+48$

b)

$9x^2-12x+16$

c)

$27x^2+28x$

d)

$27x^2+28$

116.

For synthetic division, what would be the number in the left hand box?

a)

0

b)

1

c)

2

d)

3

117.

Let
f(x) = 4x^2 -33x -27.
Is k = 9 a zero of the function?

a)

yes

b)

no

118.

(2x³ - 5x - 7)
÷
(x - 2)

a)

2x³ - 4x² + 3x - 13

b)

2x³ + 4x² +3x - 1

c)

2x² - 4x + 3 - 13/x-2

d)

2x² + 4x + 3 - 1/x-2

119.

Which function has this end behavior?

a)

-1x⁴-3x³+3

b)

-2x⁷+2x⁴+4

c)

3x⁸+3x⁵-4x+7

d)

4x⁵-4x⁴+2x³-9

120.

Which function has this end behavior?

a)

-1x⁴-3x³+3

b)

-2x⁷+2x⁴+4

c)

3x⁸+3x⁵-4x+7

d)

4x⁵-4x⁴+2x³-9

121.

Which function has this end behavior?

a)

-x²-3x+1

b)

-x³+2x²+3

c)

x⁴+3x³-4x+1

d)

x⁵-4x⁴+2x²-1

122.

Which function has this end behavior?

a)

-x²-3x+1

b)

-x³+2x²+3

c)

x⁴+3x³-4x+1

d)

x⁵-4x⁴+2x²-1

123.

Where does the following function increase?

a)

X < 0

b)

X > 2

c)

0 < x < 2

d)

The function does not increase.

124.

True or False: The function increases when 1 < x < 4

a)

True

b)

False

125.

Where does the following function decrease?

a)

-1 < x < 1

b)

-1 < x < 0

c)

1 < x

d)

-1 > x

126.

Where does the function increase?

a)

x < 0 and x > 2

b)

x > 0 and x < 2

c)

0 < x < 2

d)

2 > x > 0

127.

Factor, typing your answer without spaces:

$2x^2+9x+10$

(a)

128.

Simplify:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

129.

Factor, typing your answer without spaces:

$2x^2+31x-16$

(a)

130.

A student made an error when solving the equation. In which step did the student make the error?

a)

Between the given and step 1

b)

Between step 1 and step 2

c)

Between step 2 and step 3

d)

Between step 3 and step 4

131.

Solve:

$\left|2x+1\right|<-1$

a)

no solution

b)

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

c)

$\left(3,4\right)$

d)

$\left(-\infty,3\right)\cup\left(4,\infty\right)$

132.

y = 6x + 2
y = -6x + 2
These lines are...

a)

Parallel

b)

Perpendicular

c)

Neither

133.

Write the equation of a line PERPENDICULAR to y = -2x + 1 and passes through the point (2, 3).

a)

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

b)

$y=\frac{1}{2}x+2$

c)

$y=-2x+7$

d)

$y=-2x+8$

134.

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

135.

A customer at a store paid $64 for 3 large candles and 4 small candles. At the same store, a second customer paid $4 more than the first customer for 1 large candle and 8 small candles. The price of each large candle is the same, and the price of each small candle is the same.

Which system of equations can be used to find the price in dollars of each large candle, x, and each small candle, y?

a)

4y = 3x + 64

8y = x + 68

b)

4y = 3x + 64

8y = x + 60

c)

3x + 4y = 64

x + 8y = 68

d)

3x + 4y = 64

x + 8y = 60

Alg 2 MYE Review

Total questions: 135

Worksheet time: 7hrs 47mins

Similar Resources on Wayground