Free Printable Algebra 2 Midterm review quizziz

1.

What is the domain of this function?

$y=\sqrt{x-1}-3$

a)

{x ∣ x ≥ 1}

b)

{x ∣ x ≤ 1}

c)

{x ∣ x ≥ -3}

d)

{x ∣ x ≥ -1}

2.

What is the range of this function?

$y=\sqrt{x-1}-3$

a)

{y ∣ y ≥ 1}

b)

{y ∣ y ≥ -1}

c)

{y∣ y ≥ -3}

d)

{y ∣ y ≤ -3}

3.

Which of these equations shifts a radical equation right 5 units and down one unit?

a)

$y=\sqrt{x-5}-1$

b)

$y=\sqrt{x+5}-1$

c)

$y=\sqrt{x-5}+1$

d)

$y=\sqrt{x+5}+1$

4.

What is the equation of the graph?

a)

$y=\sqrt{x+3}$

b)

$y=-\sqrt{x+3}$

c)

$y=-\sqrt{x}+3$

d)

$y=\sqrt{x}+3$

5.

Determine the equation for the graph.

a)

$y=2\sqrt{x}-4$

b)

$y=-\sqrt{x-4}$

c)

$y=2\sqrt{x}$

d)

$y=2\sqrt{x}+4$

6.

Describe the transformations of the equation $y=-3\sqrt{x-2}+1$

Note: stretch means to grow and compress means to flatten

a)

reflects over horizontal line, vertical stretch by 3, right 2, up 1

b)

reflects over vertical line, vertical compression by -3, left 2, up 1

c)

reflects over horizontal line, vertical stretch by -3, left 2, up 1

d)

reflects over vertical line, vertical compression by 1/3, right 2, up 1

7.

The extraneous solution of the equation is...

a)

−5

b)

−8

c)

−10

d)

−4

8.

$\frac{1}{4}\sqrt{32x}=1$

a)

1/512

b)

1/16

c)

1/32

d)

1/2

9.

$\frac{\sqrt{x}}{4}\ +\ 1\ =\ 3$

a)

64

b)

121

c)

16

d)

None of these

10.

Find the inverse function of $y=\left(x-4\right)^2+3$

a)

$y=\sqrt{x-3}+4$

b)

$y=\sqrt{x+3}-4$

c)

$y=\sqrt{x-3+4}$

d)

$y=\sqrt{3x+1}$

11.

Find the inverse of $f\left(x\right)=\sqrt{x+2}+9$

a)

$f\left(x\right)=\left(x-9\right)^2-2$

b)

$f\left(x\right)=\left(x+9\right)^2+2$

c)

$f\left(x\right)=\sqrt{x+9}+2$

d)

$f\left(x\right)=\sqrt{x-9}-2$

12.

Find the inverse function of $y=4+\sqrt{x-8}$

a)

$y=\left(x-4\right)^2+8$

b)

$y=\left(x+4\right)^2-8$

c)

$y=\left(x+8\right)^2-4$

d)

$y=\left(x-8\right)^2+4$

13.

Describe the transformation.

a)

Left 1unit, Reflect over x-axis, up 2 units

b)

Left 1unit, Reflect over y-axis, down 2 units

c)

Right 1 unit, Reflect over x-axis, up 2 units

d)

Right 1unit, Reflect over y-axis, up 2 units

14.

The solution of the equation is between...

a)

−50 and −40

b)

−20 and −10

c)

−30 and −20

d)

−40 and −30

15.

$\left(x+2\right)^{\frac{1}{2}}+3=7$

a)

14

b)

-14

c)

98

d)

0

16.

$\sqrt{2x-6}-\sqrt{3x-14}=0$

a)

8

b)

-20

c)

-8

d)

20

17.

$2\sqrt{9-x}-\sqrt{1-9x}=0$

a)

-17/7

b)

-7

c)

17/11

d)

7

18.

$\sqrt{8-x}=x-6$

a)

-7

b)

7

c)

4

d)

-4

19.

a)

9 - √17

b)

4

c)

2

d)

√8

20.

Find f[g(5)]

a)

30

b)

242

c)

92

d)

2

21.

f(g(x))

a)

3x - 16

b)

3x - 2

c)

3x - 26

d)

4x - 2

22.

Find h(f(-2))

a)

0

b)

2

c)

-2

d)

26

23.

A relation that is one-to-one

a)

passes both the vertical and horizontal line tests

b)

has an inverse relation that is a function

c)

has no repeating x values and no repeating y-values

d)

All of these

24.

Determine f^-1(2) given the following information about an invertible function, f(x)
f(1) = -3
f(2) = -2
f(-1) = 2
f(3) = -1

a)

1

b)

-1

c)

2

d)

-2

25.

What is $f\degree g\degree f^{-1}\left(6\right)?$

(a)

26.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

27.

What are the solutions to the graphed system?

a)

(0,-2) and (3,1)

b)

(-2,0) and (2,0)

c)

(0,2) and (3,1)

d)

(2,2) and (1,0)

28.

a)

A

b)

B

c)

C

d)

D

29.

Solve the system of linear and quadratic equations:

y = 5

y = 2x² - 16x + 29

a)

(6, 5) and (2, 5)

b)

(2, 6)

c)

(6, 2)

d)

(5, 6) and (5, 2)

30.

Determine the number of solutions to the given linear-quadratic system.

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

31.

What is the solution to the linear-quadratic system graphed in the picture.

a)

(0, 0)

b)

(3, 0)

c)

(2, -3)

d)

(-3, 2)

32.

A system that contains one linear function and one quadratic function can have 0, 1, or 2 solutions.

a)

True

b)

False

c)

Cannot be determined

d)

Nobody cares

33.

Two equations were graphed on the set of axes below. Which point is a solution to the system of equations ?

a)

(0,3)

b)

(5,0)

c)

(2,-3)

d)

(8,9)

34.

What are the solutions to this quadratic/ linear system?

a)

no solution

b)

(3,0) and (4, 5)

c)

(0,3) and (4, -5)

d)

(3,4) and (0,-5)

35.

What are the solutions to this quadratic/ linear system?

a)

(-2, 0) and (3,0)

b)

No Solutions

c)

-6 and -10

d)

(1,-6)

36.

Find the solution(s):
y = x² - 4x + 6
y = x + 2

a)

(1, 4)

b)

(-1, 1) and (4, 2)

c)

(1, 3) and (4, 6)

d)

(1, 4) and (3, 6)

37.

What are the solutions to the system:
y = x² + 3x - 5
y = x + 3

a)

(-4, 2) and (-1, 5)

b)

(-4, -1) and (2, 5)

c)

(2, -1 and (-4, 5)

d)

(-4, 1) and (2, -1)

38.

Find the solution.

a)

(2,3) and (3,4)

b)

(-3,-15) and (4,-8)

c)

(-3,10) and (8,4)

d)

(-8,3) and (-4,10)

39.

Find the solution(s).

a)

(-1,7) and (0,5)

b)

(-4,2) and (-5,8)

c)

(-2,6) and (10,15)

d)

(-2,4) and (6,12)

40.

What are the solutions to the system:
y = x² - 2x + 1
y = -2x + 2

a)

(-1,0) and (1,4)

b)

(1,0) and (-1,4)

c)

(1,0) and (4,1)

d)

(-1,0) and (-1,4)

41.

Determine the number of solutions to the given system:
y = x² + 4x - 5
y = -x + 2

a)

0 solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

42.

Simplify the expression:
$\left(8\ +\ 9i\right)\ +\ \left(4\ -\ 6i\right)$

a)

$17\ +\ 3i$

b)

$12\ +\ 3i^2$

c)

$17\ -2i$

d)

$12\ +\ 3i$

43.

Simplify the expression:
$\left(5\ +\ 14i\right)\ -\ \left(10\ +\ 2i\right)$

a)

$5\ -16i$

b)

$-5\ +\ 16i$

c)

$5\ -\ 12i$

d)

$-5\ +\ 12i$

44.

Simplify the expression:
$\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)$

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

45.

Simplify the expression:
$\left(1\ +\ 5i\right)\ +\ \left(1\ -\ 5i\right)$

a)

$2\ +\ 10i$

b)

$2\ +\ 10i^2$

c)

$2$

d)

$-8$

46.

Simplify

(12 - 4i) + (-2 + 8i)

a)

8 + 104i

b)

10 + 4i

c)

14 - 4i

d)

10 - 12i

47.

Simplify the expression:
$\left(5\ +\ 4i\right)\ -\ \left(-1\ -\ 2i\right)$

a)

$6\ +6i$

b)

$4\ +\ 2i$

c)

$6\ -\ 6i$

d)

$4\ -\ 2i$

48.

$Simplify:\ \ \ \ 2i\left(4\ +\ 3i\right)$

a)

$-6\ +\ 8i$

b)

$6\ +\ 8i$

c)

$-6i\ +\ 8i$

d)

$-1\ +\ 8i$

49.

$Simplify:\ \ \left(-2\ +\ 7i\right)\left(4\ -\ 2i\right)$

a)

$6+\ 32i$

b)

$-6\ +\ 32i$

c)

$22+32i$

d)

$6\ +\ 24i$

50.

$Simplify:\ \ 3i\left(3i-4\right)$

a)

$-9\ -12i$

b)

$9i-12i$

c)

$9-12i$

d)

$-9+12i$

51.

Simplify $\frac{12}{8i}$

a)

$-\frac{13i}{8}$

b)

$-\frac{7i}{4}$

c)

$-\frac{3i}{2}$

d)

$\frac{3i}{7}$

52.

Simplify $\frac{3}{16i}$

a)

$-\frac{3i}{16}$

b)

$-\frac{3i}{8}$

c)

$-\frac{i}{4}$

d)

$-\frac{i}{2}$

53.

Simplify $-\frac{11}{9i}$

a)

$\frac{11i}{9}$

b)

$\frac{11i}{13}$

c)

$i$

d)

$\frac{14i}{9}$

54.

a)

A

b)

B

c)

C

d)

D

55.

What is the conjugate of 5 - 2i?

a)

5 + 2i

b)

-5 - 2i

c)

5 - 2i

d)

-5 + 2i

56.

Simplify: i⁷²

a)

i

b)

-i

c)

1

d)

-1

57.

Simplify: i³¹

a)

i

b)

-i

c)

1

d)

-1

58.

Simplify

a)

(-10+6i)/17

b)

(-8+15i)/17

c)

(-23+36i)/25

d)

(-21+33i)/34

59.

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.

60.

Solve this system of equations by substitution.
y = 2x + 1
y = 4x - 1

a)

(1,3)

b)

(-1,-3)

c)

(-1,3)

d)

(3,1)

61.

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

a)

(-2, -1)

b)

(1, -2)

c)

(-2, 1)

d)

(-1, -2)

62.

Solve by substitution:
y = 2x -11
-3y = -6x -15

a)

(-1.5,-4)

b)

(1.5,4)

c)

No solution (parallel lines)

d)

Infinitely many solutions

63.

Solve by substitution

x + 2y = 2
x = -4y + 2

a)

(-3, 0)

b)

(0, 2)

c)

(-3, -2)

d)

(2, 0)

64.

Solve by substitution:

x - 3y = -13
4x + 2y = 4

a)

(1, 4)

b)

(-1, -4)

c)

(-1, 4)

d)

(1, -4)

65.

Solve by substitution:

y = -6x + 5
-2x + y = 5

a)

(-3, -6)

b)

(-6, 3)

c)

(0, 5)

d)

(-3, 5)

66.

Solve by substitution:

y = -2x + 5
y = 2x - 11

a)

No Solution

b)

(0, 0)

c)

(3, -1)

d)

(4, -3)

67.

Solve the following system by substitution:

$y=6x-11$

$-2x-3y=-7$

a)

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

b)

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

c)

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

d)

$\left(3,\ 2\right)$

68.

Solve the following system by substitution:

$2x-y=-1$

$y=x-1$

a)

$\left(-2,-3\right)$

b)

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

c)

$\left(5,\ 3\right)$

d)

$\left(3,\ 4\right)$

69.

MSP #1: Solve this system of equations by substitution:

$2x-7=3y$ and $3x=2-4y$

DO NOT TYPE SPACES, MAKE SURE YOUR ANSWER IS TYPED AS A COORDINATE!

(a)

70.

$y=-3(x+5)^2-4$
Convert the equation from vertex form to standard form.

a)

y = 9x²- 15x + 21

b)

y = -3x²- 75x - 4

c)

y = 9x²+ 90x + 221

d)

y = -3x²- 30x - 79

71.

$y=-5(x+2)^2-10$
Convert the equation from vertex form to standard form.

a)

y = -5x²- 20x - 30

b)

y = -5x²- 4x - 10

c)

y = 25x² + 100x + 90

d)

y = 25x² - 10x - 30

72.

$y=-\frac{2}{3}(x-9)^2-2$
Convert the equation from vertex form to standard form

a)

$y=-\frac{2}{3}x^2-12x-52$

b)

$y=-\frac{2}{3}x^2+12x-56$

c)

$y=-\frac{2}{3}x^2+18x-56$

d)

$y=-\frac{2}{3}x^2-18x+52$

73.

Convert to vertex form.

a)

y=3(x+1)² - 8

b)

y=3(x-1)² - 8

c)

y=3(x+2)² - 8

d)

y=3(x-2)² - 8

74.

Convert to vertex form.

a)

y=4(x+4)² - 62

b)

y=4(x-4)² - 62

c)

y=4(x-8)² - 62

d)

y=4(x+8)² - 62

75.

Convert to vertex form.

a)

y=1/2(x-4)² - 29

b)

y=1/2(x+4)² - 29

c)

y=1/2(x+8)² - 29

d)

y=1/2(x-8)² - 29

76.

MSP#1

What is the value?

(number only)

(a)

77.

Convert to vertex form.

a)

y=1/3(x+3)² - 29

b)

y=1/3(x-3)² - 29

c)

y=1/3(x-9)² - 29

d)

y=1/3(x+9)² - 29

78.

MSP#3 SEPARATE ANSWERS BY A COMMA!

(a)

79.

Which quadratic function in vertex form can be represented by the graph that has a vertex at (3,-7) and passes through the point (1,-10)?

a)

b)

c)

d)

80.

Which function is best represented by this graph?

a)

b)

c)

d)

81.

Write the equation of the quadratic function that has a vertex of (-5, 9) and passes through the point (-7, -15).

a)

y = 6(x + 5)² + 9

b)

y = -6(x - 5)² + 9

c)

y = 6(x - 5)² + 9

d)

y = -6(x + 5)² + 9

82.

Which quadratic function in vertex form best represents the graph that has a vertex at (4,-1) and passes through the point (8, 3)?

a)

f(x) = 1/4(x - 4)² - 1

b)

f(x) = 4(x - 4)² - 1

c)

f(x) = 4(x + 4)² - 1

d)

f(x) = 1/4(x + 4)² - 1

83.

What is the equation in vertex form?

a)

y = 4(x + 3)² - 4

b)

y = -4(x - 3) - 4

c)

y = -4(x + 3)² + 4

d)

y = -4(x - 3)² + 4

84.

If given the equation y = 3(x + 5)² - 4, what is the vertex of the parabola?

a)

(5, -4)

b)

(-5, -4)

c)

(-15, -4)

d)

(15, -4)

85.

What is the domain of this quadratic graph?

a)

y ≥ 3

b)

y ≤ 3

c)

ℝ

d)

y ≤ 2

86.

Write the equation of the quadratic function that has a x-intercepts at (2, 0) and (4, 0) and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

87.

Write the equation of the quadratic function that has a x-intercepts at 2 and 4 and passes through the point (3, 4).

a)

y = -4(x - 2)(x - 4)

b)

y = -4(x + 2)(x + 4)

c)

y = 4(x - 2)(x - 4)

d)

y = -0.25(x - 2)(x - 4)

88.

Let f(x)=x²−4x+2, and let

g(x)=6−x.

What is the sum of the possible values of k such that f(k)=g(k)

.

a)

-1

b)

4

c)

3

d)

-3

89.

A rectangle has a perimeter of 50 m

and an area of 150 m². What is the difference between the length and width?

a)

5 m

b)

10 m

c)

15 m

d)

20 m

90.

Let f(x) = 2x² – 4x + 1 and

g(x) = (x² + 16)^(1/2). If k is a negative number such that f(k) = 31, then what is the value of (f(g(k))?

a)

31

b)

-35

c)

5

d)

-81

91.

Two consecutive positive multiples of three have a product of 54. What is the sum of the two numbers?

a)

3

b)

9

c)

12

d)

15

92.

If f(x) = -x² + 6x - 5, then which could be the value of a if f(a) = f(1.5)

a)

-1

b)

2.5

c)

3.5

d)

4.5

93.

2x² + 9x - 143 < 0

a)

-11 < x < 6.5

b)

-11 ≤ x ≤ 6.5

c)

no solution

d)

all reals

94.

What is the solution of the quadratic inequality $x^2$ - x $\ge$ 12?

a)

{x / -3 $\ge$ x $\ge$ 4}

b)

{x / -3 $\le$ x $\le$ 4}

c)

{x / x $\le$ -3 U x $\ge$ 4}

d)

{x / x $\le$ 4 U x $\ge$ -3}

95.

Solve:

3x - x²> 0

a)

(−∞, 0) U (3, ∞)

b)

(−∞, - 3) U (0, ∞)

c)

(-3, 0)

d)

(0, 3)

96.

Solve: 5x - 10x² < 0

a)

(0, ½)

b)

[0, ½]

c)

(−∞, 0) U (½, ∞)

d)

(- ½ , 0)

97.

Solve:

2x² + 5x ≥ 12

a)

[-4, 1.5]

b)

(−∞, -4) U (1.5, ∞)

c)

(−∞, -4] U [1.5, ∞)

d)

no solution

98.

Solve x² - 5x + 10 = 0

a)

(5 - i√15)/2 , (5 + i√15)/2

b)

(5 - √15)/2 , (5 + √15)/2

c)

(5 - i√65)/2 , (5 + i√65)/2

d)

(5 - √65)/2 , (5 + √65)/2

99.

What are the zeros of the function f(x) = x² + 64? (Hint: b=0)

a)

-8 and 8

b)

-8i and 8i

c)

(-i√8) and (i√8)

d)

-√8 and √8

100.

a)

A

b)

B

c)

C

d)

D

101.

a)

A

b)

B

c)

C

d)

D

102.

Use the quadratic formula to solve: n² = 9n - 20

a)

n = 4, -5

b)

n = -4, 5

c)

n = -4, -5

d)

n = 4, 5

103.

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

104.

.How many zeros does this parabola have?

a)

3

b)

2

c)

0

d)

1

105.

Solve using the Quadratic Formula:
x² + 4x + 3 = 0

a)

x = 1 and x = 3

b)

x = 6 and x = -2

c)

x = -1 and x = -3

106.

Use the quadratic formula to find the solutions for

y = -x² - 5x + 12

a)

-4.9 and -0.1

b)

-8.54 and 8.54

c)

-0.45 and 3.55

d)

-6.77 and 1.77

107.

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

108.

This is an example of a

a)

System of Quadratic Equations

b)

Reduced Row Echelon Form

c)

Augmented Matrix

d)

A Canine Doing a Backflip

109.

This is an example of

a)

Row Echelon Form

b)

Reduced Row Echelon Form

c)

Really Reduced Echelon Form

d)

Really Really Easy Form

110.

Reduced Row Echelon Form is where ______________________

a)

Zeroes in the first column of my matrix

b)

Thel ast column has all zeroes

c)

One's are in a diagonal pattern of my matrix with zeroes underneath the one's.before the augmented portion

d)

One's are in a diagonal pattern of my matrix with zeroes above and below the ones before the augmented portion

111.

What is the solution to the 4x5 Matrix?

a)

( 3, 4, 9, 6 )

b)

( 3, 4, 9, -6 )

c)

( -6, 9, 4, 3 )

d)

( 6, 9, 4, 3 )

112.

What is the solution to the systems of equations represented by the 3x4 Matrix?

a)

(4, 6, 2)

b)

(-6, 2, 2)

c)

All Real Numbers

d)

No Solutions

113.

a)

(2,3,5,0)

b)

(2,3,4,5)

c)

All Real Numbers

d)

No Solution

114.

Using back-substitution, calculate the solution for the REF matrix.

a)

(3, -6, 3)

b)

(-6, -6, 3)

c)

(6, -6, 3)

d)

(-6, -6, 3)

115.

Back-substitute to calculate the solution from the REF Matrix.

a)

2, 4, (1/2)

b)

(-1/5), 4, (1/2)

c)

(1/2), 2, 1

d)

(1/5) , 4, (1/2)

116.

Johnny was using Gaussian Elimination to simplify the matrix. What did he do wrong in this step?

a)

To get a zero for a number you should multiply the same row by its' reciprocal

b)

If you multiply a number to a row you have to change that row too

c)

He added the numbers incorrectly

d)

Nothing. This step was correct.

117.

Jessica is simplifying the matrix using Gaussian Elimination. Did she complete the step correctly?

a)

No, she should have changed the 2 to a zero and multiplied -2 by R2 and added R1

b)

No, she wanted to change the 3 to a zero so she should have multiplied R2 and added it to R3

c)

Yes. When you need a zero you multiply by the number's reciprocal.

d)

No. Just punch in the calculator. Who cares about Carl Gauss

118.

Jeffrey wrote a matrix to represent his system of equations. What was his mistake

a)

The z's are not aligned correctly

b)

There should be a one in the top row for zero

c)

There should be a zero in the second column of the third representing the y

d)

Nothing. This is correct.

119.

Which of the following is the correct representation for the system of equations?

a)

A

b)

B

c)

C

d)

D

120.

What is the solution to the augmented matrix?

a)

(3,6,2)

b)

(3,-5,3)

c)

(5,5,3)

d)

((5/9), (105/9), (-23/9))

121.

What is the solution to the system?

a)

(-20, -6, -9)

b)

(3, 2, 0)

c)

All Real Numbers

d)

No Solution

122.

a)

(4, 3, -1)

b)

(3, 8, 9)

c)

All Real Numbers

d)

No Solution

123.

a)

(3, 9 -1)

b)

(0, 3, 7)

c)

All Real Numbers

d)

No Solution

124.

Jillian solved the matrix on the left. Jacob solved the matrix on the right. Who is correct?

a)

Jillian, because she multiplied by the reciprocal.

b)

Jacob, because he got the top left number to be a one.

c)

Neither. They needed to take care of the one and make it a zero first.

d)

Both. Each step is legal and takes care of the top left term

125.

Jemima is in the process of reducing her matrix. Her next step is shown here. What was her mistake?

a)

She should have multiplied the 3 by its' reciprocal

b)

She has the bottom row already solved for

c)

She multiplied her top row correctly, but that doesn't change the first row when we add it to another row

d)

Nothing. She performed her step correctly.

126.

Which equation matches the function shown in the graph above?

a)

Quadratic

b)

Absolute Value

c)

Cubic

d)

Rational

127.

Which equation matches the function shown in the graph above?

a)

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

b)

$f\left(x\right)=x$

c)

$f\left(x\right)=\sqrt{x}$

d)

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

128.

Which equation matches the function shown in the graph above?

a)

$f\left(x\right)=\left|x\right|$

b)

$f\left(x\right)=x$

c)

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

d)

$f\left(x\right)=\frac{1}{x}$

129.

Which equation matches the function shown in the graph above?

a)

f\left(x\right)=x^3

b)

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

c)

$f\left(x\right)=x$

d)

$f\left(x\right)=\sqrt{x}$

130.

Which equation matches the function shown in the graph above?

a)

Cubic

b)

Square Root

c)

Linear

d)

Rational

131.

Which equation matches the function shown in the graph above?

a)

$f\left(x\right)=\sqrt{x}$

b)

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

c)

Quadratic

d)

Absolute Value

132.

Choose the equation for the quadratic function that has been translated 1 unit to the right and reflected over the x-axis.

a)

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

b)

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

c)

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

d)

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

133.

List the transformations for the following quadratic:

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

a)

Right 2 units, up 4 units

b)

Left 2 units, up 4 units

c)

Left 2 units, down 4 units

d)

Right 2 units, down 4 units

134.

List the transformations for the following function:

f\left(x\right)=-2\left|x+1\right|-5

a)

Reflection, vertical stretch of 2, left 1 unit, down 5 units

b)

Vertical shrink of 2, left 1 unit, down 5 units

c)

Reflection, vertical stretch of 2, right 1 unit, down 5 units

d)

Vertical shrink of 2, left 1 unit, up 5 units

135.

List the transformations for the following absolute value function:

f\left(x\right)=-\left|x-7\right|

a)

Reflection, left 7 units

b)

Reflection, down 7 units

c)

Reflection, right 7 units

d)

Vertical shrink 1, right 7 units

136.

List the transformations for the following quadratic function:

f\left(x\right)=6x^2+4

a)

Vertical stretch, horizontal shift right 4 units

b)

Vertical stretch, vertical shift up 4 units

c)

Vertical shrink, horizontal shift left 4 units

d)

Vertical shrink, horizontal shift right 4 units

137.

Identify the following function:

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

a)

Linear

b)

Absolute Value

c)

Cubic

d)

Quadratic

138.

List the zeros from the graph above.

a)

None

b)

$x=0$

c)

$x=0,\ 1$

d)

$x=-2,\ 0$

139.

List the zeros from the graph above.

a)

x=-3,\ -1

b)

$x=-3$

c)

None

d)

$x=\ -2,\ 1$

140.

Identify the following function:

f\left(x\right)=\frac{1}{x}-4

a)

Rational

b)

Linear

c)

Quadratic

d)

Square Root

141.

Identify the domain:

a)

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

b)

$\left[2,\infty\right)$

c)

$\left(-\infty,2\right]$

d)

$\left[0,\infty\right)$

142.

Identify the range:

a)

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

b)

$\left[0,\infty\right)$

c)

$\left[2,\infty\right)$

d)

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

143.

Identify the equation of the function:

a)

$f\left(x\right)=\left|x+2\right|$

b)

$f\left(x\right)=\left|x\right|+2$

c)

$f\left(x\right)=\left|x\right|-2$

d)

$f\left(x\right)=\left|x-2\right|$

144.

Identify the interval of increase:

a)

$\left(-\infty,2\right]$

b)

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

c)

$\left[2,\infty\right)$

d)

$\left[0,\infty\right)$

145.

Identify the interval of decrease:

a)

$\left(-\infty,2\right]$

b)

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

c)

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

d)

$\left[2,\infty\right)$

146.

Identify the x-intercept(s):

a)

$x=\frac{3}{4}$

b)

$y=2$

c)

$x=2$

d)

$y=\frac{3}{4}$

147.

Identify the y-intercept(s):

a)

$y=1.5$

b)

$y=2$

c)

$y=1$

d)

$x=2$

148.

Identify the domain:

a)

$\left[-\infty,\infty\right]$

b)

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

c)

$\left(-\infty,-1\right]$

d)

$\left[-1,-\infty\right)$

149.

Identify the range:

a)

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

b)

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

c)

$\left[-1,-\infty\right)$

d)

$\left(-\infty,-1\right]$

150.

Identify the y-intercept(s):

a)

$y=-3$

b)

$y=-4$

c)

$y=-10$

d)

Does not cross on graph

151.

Identify the x-intercept(s):

a)

None

b)

$x=-3$

c)

$x=-4$

d)

$x=0$

152.

Identify the end behavior that is true:

a)

$x\rightarrow\infty,\ y\rightarrow-\infty;x\rightarrow-\infty,\ y\rightarrow-\infty$

b)

$x\rightarrow\infty,y\ \rightarrow\infty;x\rightarrow-\infty,y\rightarrow\infty$

c)

$x\rightarrow\infty,y\rightarrow\infty;x\rightarrow\infty,y\rightarrow-\infty$

d)

$x\rightarrow\infty,y\rightarrow-\infty;x\rightarrow-\infty,y\rightarrow\infty$

153.

Solve |x – 12| - 3 = 11.

a)

-2, -26

b)

-2, 26

c)

3, 25

d)

4, -7

154.

|−2n| + 10 = −50

a)

{30, -30}

b)

{20,-20}

c)

{-5,5}

d)

No Solution

155.

What is the equation of the graph below?

a)

f(x) = I x I -1

b)

f(x) = I x I +1

c)

f(x) = - I x I -1

d)

f(x) = -I x I +1

156.

a)

v>5 or v<-5

b)

v≥5 or v≤-5

c)

v>-5 or v<5

d)

all real numbers

157.

a)

no solution

b)

-6 ≤ r ≥ 8

c)

6 > r > -8

d)

-6 < r < 8

158.

|2/3 x - 1| - 3 = -x + 1

a)

x = 3

b)

x = 9

c)

x = -3

d)

x = -9/5

159.

5|x - 2| + 15x = 5x - 20

a)

x = -6

b)

x = -2/3

c)

x = 2

d)

x = -2

160.

Which function shows horizontal translation and a vertical stretch?

a)

f(x) = -2|-x |

b)

f(x) = -3|x| - 7

c)

f(x) = -|-x + 1| + 4

d)

f(x) = 5|x - 4| - 1

161.

What is the domain of the absolute value function?

a)

(4, 0)

b)

(0, 4)

c)

(-infinity, infinity)

d)

[4, infinity)

162.

Is absolute value always positive?

a)

yes

b)

no

163.

Kristin spent $202 on tops. Tank Tops cost $12, Graphic T- shirts cost $28 and Hoodies cost $35. She bought twice as many tank tops as hoodies. If she bought a total of 9 then how many of each kind did she buy?

a)

4 tank tops, 3 graphic tees, and 2 hoodies

b)

6 tank tops, 3 graphic tees, and 3 hoodies

c)

2 tank tops, 6 graphic tees, and 1 hoodies

164.

Coach Anthony has a jar full of change. There are 37 nickels, dimes, and quarters. The total of the coins is $3.75. If there are twice as many nickels than dimes, how many of each does he have?

a)

20 dimes, 10 nickels, 7 quarters

b)

10 dimes, 20 nickels, 7 quarters

c)

9 dimes, 18 nickels, 10 quarters

165.

Macy is saving all her coins to buy the newest Iphone. She has 242 pennies, nickels, and dimes. The total of the coins is $5.10. If she has 10 times as many pennies than dimes, how many of each does she have?

a)

150 pennies, 77 nickels, and 15 dimes

b)

200 pennies, 22 nickels, and 20 dimes

c)

100 pennies, 22 nickels, and 200 dimes

166.

Use elimination or substitution to solve the systems.

a)

(-2, -3, 3)

b)

(-2, 3, 3)

c)

(2, -3, 3)

167.

Use elimination or substitution to solve the systems.

a)

(4, 0, 2)

b)

(-4, 0, -2)

c)

(4, 0, -2)

168.

Use elimination or substitution to solve the systems.

a)

(1, 4, 4)

b)

(1,- 4, 4)

c)

(-1, -4, -4)

169.

Use elimination or substitution to solve the systems.

a)

(4, 2, 0)

b)

(4, -2, 0)

c)

(-4, -2, 0)

170.

Use elimination or substitution to solve the systems.

a)

(1,3,1)

b)

(-1,3,1)

c)

(1,-3,-1)

171.

Use elimination or substitution to solve the systems.

a)

(0, 0, 0)

b)

Infinite

c)

(0, 0, -3)

172.

Mallory spent $320 on jeans, leggings, and shorts. The jeans were $55, leggings were $15, and the shorts were on sale for $20. She bought one less pair of shorts than leggings. If there were a total of 12 items, how many of each did she buy?

a)

5 jeans, 4 leggings, and 3 shorts

b)

3 jeans, 5 leggings, and 4 shorts

c)

7 jeans, 3 leggings, and 2 shorts

Algebra 2 Midterm review quizziz

Total questions: 172

Worksheet time: 32hrs 59mins

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