Free Printable Algebra CBA #2 Review

1.

Classify by number of terms:
3x² – 8x + 1

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

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.

Perform the indicated operation:
(x-3)(x-7)

a)

x²-10x-21

b)

x²+10x+21

c)

-9x²+21

d)

x²-10x+21

6.

Find the product:
(3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

7.

Find the product:
(x + 7)²

a)

x²+ 7x + 7x + 49

b)

x²+ 7x + 7

c)

7x²+ x + 7

d)

x² + 14x + 49

8.

Multiply
(x²-2x+1)(x+1)

a)

x³-x²-x+1

b)

x³-2x+2

c)

x³+x²+x+1

d)

x³-3x²-3x+1

9.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

10.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

11.

a)

A

b)

B

c)

C

d)

D

12.

a)

A

b)

B

c)

C

d)

D

13.

6v(2v + 3)

a)

12v+18

b)

15v² + 8v

c)

12v² + 18v

d)

12v² + 18v²

14.

(2n + 2)(6n + 1)

a)

12n + 2

b)

12n² + 2

c)

12n² + 12n + 2

d)

12n² + 14n + 2

15.

(x − 3)(6x − 2)

a)

6x² − 20x + 6

b)

6x² + 20x - 6

c)

6x² +6

d)

6x + 6

16.

(5x+2)(x²-3x+6)

a)

5x³- 17x²+24x +12

b)

5x³+ 17x² - 24x +12

c)

5x³ - 13x² + 24x +12

d)

5x³ +13x² - 24x - 12

17.

What is the area of this rectangle?

a)

48

b)

$8x^2+14x+6$

c)

$8x^2+x+5$

d)

$2x^2+6x+8$

18.

Find the product:
$\left(x+1\right)\left(x^2-4x-21\right)$

a)

$x^3-3x^2-25x-21$

b)

$x^3+3x^2+25x+21$

c)

$-x^3-3x^2-25x-21$

d)

$x^4-3x^3-25x^2-21x$

19.

Simplify:
(3x-5) (4x²-2x-3)

a)

12x³ - 26x² - 25x + 15

b)

12x³ - 20x² - 5x + 15

c)

12x³ - 20x² - 6x + 15

d)

12x³ - 26x² + x + 15

20.

Multiply:

$\left(x+3\right)^2$

**Start by rewriting as (x+3)(x+3)**

a)

$x^2+6x+9$

b)

$x^2+9$

c)

$x^2+3x+9$

d)

$x^2+6x+6$

21.

$(5a+2b)^2\ =\ 25a^2+20ab+4b^2$
**Test it out, don't just guess!!**

a)

TRUE

b)

FALSE

22.

Simplify:

(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

23.

Now give this one a try:

Multiply (5x-3)(5x+3)

a)

25x²-15x-9

b)

25x²+15x-9

c)

25x²-9

d)

25x²+9

24.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

25.

What is the degree of the polynomial 17x + 4

a)

0

b)

1

c)

2

d)

3

26.

7) Degree of 10 is ______

a)

10

b)

1

c)

0

d)

Undefined

27.

Rewrite $2x^2+9-5x^3+3x^4-8x$ in standard form.

a)

$+3x^4$

b)

$-5x^3$

c)

$+2x^2$

d)

$-8x$

e)

$9$

1)

2)

3)

4)

5)

28.

Find the sum.
(2x² + 5x - 7) + ( 3 - 4x² + 6x)

a)

2x²+ 3x +1

b)

-2x²- 11x -4

c)

2x² + 5x -7

d)

-2x² + 11x -4

29.

What is the perimeter of the rectangle?

a)

x²+8x-5

b)

2x²+16x-10

c)

2x²+10x-8

d)

6x-2

30.

Find the difference.
(3- 2x + 2x²) - (4x -5 +3x²)

a)

x_² + 6x + 8

b)

2x²+ 5x - 7

c)

-x²-6x + 8

d)

-2x² + 11x - 4

31.

Solve the following problem.
(13x + 30) - (20x + 6)

a)

-7x + 24

b)

-33x - 42

c)

133x + 36

d)

260x + 180

32.

What is the degree of the polynomial? 5x⁵ - 6x⁶ + 2

a)

1

b)

5

c)

6

d)

11

33.

According to exponent rules, when we multiply terms we (a) the exponents.

Choose from the below words

add

subtract

multiply

divide

34.

Multiply: $-4e^5\cdot2e^8$

a)

-8e⁴⁰

b)

-2e¹³

c)

-8e¹³

d)

-2e⁴⁰

35.

Multiply: $\left(-2e^3g^2\right)\left(5eg^4\right)$

a)

$3e^3g^8$

b)

$3e^4g^6$

c)

$-10e^3g^8$

d)

$-10e^4g^6$

36.

Multiply: 3i² ⋅ 4i⁴ ⋅ 2i⁵

a)

24i¹¹

b)

9i⁴⁰

c)

13i¹³

d)

i²²

37.

Anything raised to a power of zero is always:

(a)

Choose from the below words

1

0

itself

negative

38.

$\left(7e^3\right)^0$

a)

1

b)

7

c)

$21x^3$

d)

$x^{10}$

39.

According to exponent rules, when we raise an exponent to another exponent $Example:\ \left(2x^3\right)^2$ we the exponents.

(a)

Choose from the below words

multiply

add

subtract

divide

40.

a)

a⁷

b)

a¹⁰

c)

a³

d)

a^-3

41.

$\left(3i^4\right)^3$

a)

$15i^9$

b)

$27i^{12}$

c)

$15i^7$

d)

$243i^9$

42.

According to exponent rules, when we divide terms we (a) the exponents.

Choose from the below words

Subtract

Multiply

Divide

Add

43.

Simplify the exponential expression:

a)

10x^-2

b)

2x²

c)

2x¹²

d)

10x¹²

44.

a)

-6c⁵

b)

-6c

c)

6c

d)

-6c⁶

45.

Evaluate this expression using the quotient rule.

a)

9⁵

b)

9⁹

c)

1⁵

d)

9^-5

46.

Simplify (-4r⁵)(2r⁸)

a)

-8r¹³

b)

-2r¹³

c)

-8r⁴⁰

d)

-2y⁴⁰

47.

Simplify the following:
(x²y)⁵

a)

x⁷y⁵

b)

x²y⁵

c)

x¹⁰y⁵

d)

x⁵y⁵

48.

Simplify:
(3t²)³

a)

9t⁶

b)

9t⁵

c)

27t⁶

d)

27t⁵

49.

(5³x²y⁴)⁰

a)

5xy

b)

1

c)

0

d)

5

50.

(2x²)²(3x³)³

a)

36x¹⁰

b)

36x¹³

c)

96x¹³

d)

96x¹⁰

51.

Evaluate the expression using the quotient rule.

a)

2¹⁴ z¹³

b)

2²/z⁷

c)

2¹⁴/ z⁷

d)

2²z⁷

52.

(ab⁸c)(a^-17c¹⁰)

a)

a¹⁷b⁸c¹¹

b)

a¹⁶b⁸c¹¹

c)

(b⁸c¹¹)/(a¹⁶)

d)

a^-17b⁸c¹⁰

53.

Make this negative exponent positive.
9^-3

a)

9³

b)

1/9^-3

c)

1/9³

d)

729

54.

Simplify (-5a^-3)(3a⁶b)²

a)

-15a⁹b

b)

45a⁹b

c)

45ab²

d)

-45a⁹b²

55.

A rectangle prism has a width of x inches, a length of x³y inches, and a height of y³ inches. Which expression represents the volume in cubic inches of this rectangular prism?

a)

4x⁴y⁴
⁴

b)

4x³y³

c)

x³y³

d)

x⁴y⁴

56.

Rewrite x^3/4 in radical form

a)

³√(x)⁴

b)

⁴√(x)³

c)

^x√(3)⁴

d)

1/(³√(x)⁴)

57.

Rewrite √(y)⁵ in exponential form.

a)

y^5/2

b)

y^2/5

c)

y^-5/2

d)

y^-2/5

58.

Rewrite as a radical...Simplify your answer!

a)

A

b)

B

c)

C

d)

D

59.

Simplify the expression. Please be sure that your answer is in SIMPLEST form:

a)

A

b)

B

c)

C

d)

D

60.

Rewrite using rational exponents.

a)

A

b)

B

c)

C

d)

D

61.

What is the first question you ask yourself when factoring a polynomial?

a)

How many terms does it have?

b)

Is there a GCF?

c)

What strategy should I use?

d)

Why do I have to learn this?!?!?!

62.

What is the greatest common factor of 48x²and 32x³?

a)

8x²

b)

16x²

c)

16x

d)

96x³

63.

Factor
12x + 9

a)

3(4x + 3)

b)

x(12+9)

c)

3(4x - 3)

d)

not factorable

64.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

65.

Factor: 6m² + 16m

a)

2(3m² + 8m)

b)

2m(3m + 8)

c)

2m(3m - 8m)

d)

not factorable

66.

How would you describe your Analytic Geometry teacher?

a)

A good teacher but not great.

b)

The best math teacher you ever had

c)

As a teacher who doesn't care about his students

d)

As a terrible teacher in every respect

67.

Factor completely
x² + 27x - 160

a)

(x+15)(x-14)

b)

(x-5)(x+32)

c)

(x+14)(x-15)

d)

not factorable

68.

factor completely
v² - 6v + 9

a)

(v-3)²

b)

(v-6)²

c)

(v-9)(v+6)

d)

not factorable

69.

factor completely
81m² - 1

a)

not factorable

b)

(m-9)(m+9)

c)

9m(9m-1)

d)

(9m-1)(9m+1)

70.

factor completely
b² + 30b - 216

a)

(b+18)(b+12)

b)

(b-6)(b+36)

c)

(b-16)(b+14)

d)

(b+11)(b-16)

71.

Factor completely
2c² + 4c - 84

a)

(c-6)(2c+14)

b)

(c+7)(2x-12)

c)

(c-4)(2c+21)

d)

2(c+7)(c-6)

72.

factor completely
r² - 12r + 27

a)

(r - 3)(r + 9)

b)

(r + 3) (r + 9)

c)

(r - 3) (r - 9)

d)

(r + 3) (r - 9)

73.

Factor completely: 3x² - 7x + 2

a)

(x - 1) (3x + 2)

b)

(x - 2) (3x -1)

c)

(x - 1) (3x - 2)

d)

(x + 2) (3x + 1)

74.

Factor completely: 2x² - 3x - 2

a)

(2x - 2)(x + 1)

b)

(2x + 1)(x - 2)

c)

(2x - 1)(x - 2)

d)

(2x - 1) (x - 1)

75.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

76.

Convert x²-6x+9 to factored form and identify the solution.

a)

(x-3)(x-3); x=3

b)

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

c)

(x+4)(x+2); x=-4, -2

d)

Not factorable

77.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

78.

Solve x²- 9x + 8 = 0by factoring.

a)

x = 8 and 1

b)

x = -8 and 1

c)

x = 8 and -1

d)

x = -8 and -1

79.

Solve using square roots.

a)

A

b)

B

c)

C

d)

D

80.

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

81.

Solve using the quadratic formula.

a)

A

b)

B

c)

C

d)

D

82.

Solve using the quadratic formula.

a)

A

b)

B

c)

C

d)

D

83.

Solve using the quadratic formula.

a)

A

b)

B

c)

C

d)

D

84.

What are the factors for a quadratic with zeros at x=-3 and x=3/4?

a)

(x-3/4)(x-3)

b)

(4x-3)(x+3)

c)

(x+3/4)(x-3)

d)

(4x+3/4)(x+3)

85.

Convert x²-9x+20 to factored form and solve.

a)

(x-10)(x+2); x=-2, 10

b)

(x+4)(x+5); x=-5, -4

c)

(x-4)(x-5); x=4, 5

d)

Not factorable

86.

Factor x² + 9x + 20

a)

(x + 2)(x + 10)

b)

(x + 3)(x + 4)

c)

(x + 4)(x + 5)

d)

(x + 4)(x + 6)

87.

Factor r² -16r + 60

a)

(r - 15)(r + 4)

b)

(r - 6)(r + 10)

c)

(r - 6)(r - 10)

d)

(r +30)(r - 2)

88.

x²- 225

a)

( x + 15) ( x + 15)

b)

Prime

c)

( x - 15) ( x + 15)

d)

( x - 15) ( x - 15)

89.

Factor: 5n+10n²

a)

5n(1+5n)

b)

5(n+2n)

c)

5n(1+2n)

d)

10n(1+n)

90.

Factor: 4xy-16x

a)

x(4y-16)

b)

4y(x-4)

c)

4x(y-4)

d)

16x(y-1)

91.

Factor: 8x³ - 1

a)

(2x - 1)(4x² + 2x + 1)

b)

(2x + 1)(4x² - 2x + 1)

c)

(2x - 1)(4x² - 2x - 1)

d)

(2x + 1)(4x² +2x + 1)

92.

Factor by grouping
x³ - 4x² -4x + 16

a)

(x+4)(x+2)

b)

(x-4)(x² -4)

c)

(x+4)(x² -4)

d)

(x-4)(x-2)

93.

Factor this sum of cubes:
216x³ + 125

a)

6(x + 5)³

b)

(6x - 5)(36x² + 30x + 25)

c)

(6x + 5)(6x² - 30x + 25)

d)

(6x + 5)(36x²- 30x + 25)

94.

Factor by grouping:
x³+7x²-2x-14

a)

(x²-2)(x-7)

b)

(x²+2)(x-7)

c)

(x²+2)(x+7)

d)

(x²-2)(x+7)

95.

Factor the Difference of Two Squares.
9x²- 49y⁶

a)

( 3x + 7y³) (3x + 7y³)

b)

( 3x - 7y³) (3x + 7y³)

c)

( 3x - 7y³) (3x - 7y³)

d)

Prime

96.

Solve
a² + 2a - 24 = 0

a)

a = -6, 4

b)

a = 6, -4

c)

a = 12, -2

d)

a = 8, -3

97.

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

98.

Solve
8n² + 10n - 3 = 0

a)

n = ^-1/₈, ¹⁰/₃

b)

n = ⁴/₅, - 2

c)

n = ¹/₄, ^-3/₂

d)

n = 2, -12

99.

Solve by factoring.
15 = 8x² - 14x

a)

x = -5 or x = 3/8

b)

x = -2/5 or x = 4/3

c)

x = -3 or x = 5/8

d)

x = -3/4 or x = 5/2

100.

Solve.
x² + 2x - 15 = 0

a)

x = -5 or x = 3

b)

x = -3 or x = 5

c)

x = 3 or x = 5

d)

x = -5 or x = -3

101.

Solve for the values of x:
(x - 3)(x + 6) = 0

a)

{ -3, -6 }

b)

{ 3, -6 }

c)

{ -3, -6 }

d)

{ 3, 6 }

102.

Solve for the values of x:
(2x - 1)(x + 4) = 0

a)

{ 1/2, -4 }

b)

{ 1/2, 4 }

c)

{ 2, -4 }

d)

{ -2, 4 }

103.

Solve using Zero-Product Property
(x-11)(5x+1) = 0

a)

x = 11 or x = -1/5

b)

x = -11 or x = -1/5

c)

x = 11 or x = 1/5

d)

x = -11 or x = 1/5

104.

Solve and give the product of the solutions.
3x² - 7x + 2 = 0

a)

2/3

b)

7

c)

2

d)

3

105.

solve.
6x²=-42x+360

a)

-12, -5

b)

-12,5

c)

12, -5

d)

12, 5

106.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

it has a minimum

b)

it has a maximum

c)

the x - intercepts are (1, 0) and (3, 0)

d)

The y - intercept is (0, 0)

e)

The axis of symmetry is x = 2

107.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

it has minimum

b)

it has a maximum

c)

The y - intercept is (0, 0)

d)

There is only one x-intercept

e)

In the equation ax² + bx + c, the value of "a" would be negative x because the Parabola opens down.

108.

Which of the following is the vertex of the graph?

a)

(2, 0)

b)

(-2, 0)

c)

(0, 4)

d)

(-1, 3)

109.

Which of the following is the vertex of the graph?

a)

(0, 3)

b)

(3, -6)

c)

(1, 10)

d)

(4, -5)

110.

What is the axis of symmetry for this graph?

a)

x = 2

b)

x = -4

c)

y = -4

d)

there is not one

111.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

It has a maximum height of 4

b)

It has a minimum height of 4

c)

The Vertex is (-1, 4)

d)

The x - intercepts are (0, 1) & (0, -3)

e)

The y - intercept is (0, 3)

112.

What is another name for the x-intercepts of a quadratic? Select all that apply.

a)

y-intercept

b)

Zeros

c)

x-axis

d)

Solutions

113.

A parabola has a vertex at (-3,2). Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

114.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

115.

What is the green dashed line called?

a)

roots or x-intercepts

b)

parabola

c)

axis of symmetry

d)

line of dashes

116.

What is the vertex of the graph. Is it a maximum or minimum?

a)

(-2,1) minimum

b)

(-2, 1) maximum

c)

(2, -1) minimum

d)

(2, -1) maximum

117.

Find the axis of symmetry for the graph

a)

x = -1

b)

x = 1

c)

x = 3

d)

x = -1 , 3

118.

What are the x- intercepts?

a)

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

b)

(0, 0) and (4, 0)

c)

(0, 0)

d)

x= 2

119.

What are the solutions?

a)

0 and 8

b)

-2 and -4

c)

3 and -1

d)

2 and 4

120.

What is the y-intercept of this parabola?

a)

(−1, 3)

b)

(−3, 11)

c)

(−2, 5)

d)

(0, 5)

121.

A parabola has a vertex at (-3,2).
Where is the axis of symmetry?

a)

y = -2

b)

x = 3

c)

x = -3

d)

y = 2

122.

What is the green dot on the parabola called?

a)

maximum

b)

minumum

c)

roots

d)

zeros

123.

Identify the vertex

a)

(-1,-9) minimum

b)

(0,-8) maximum

c)

(-4,0) minimum

d)

(0,0) maximum

124.

What is the vertex of the graph. Is it a maximum or minimum?

a)

(0,3) minimum

b)

(3,0) maximum

c)

(0,3) maximum

d)

(3,0) minimum

125.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

It has a Maximum

b)

The Zeros/Solutions are 0 and 4

c)

It has a Minimum

d)

The Vertex is (0, 0)

e)

The Axis of Symmetry (AOS) is x = 2

126.

The graph of a Quadratic function is shown. Select ALL the statements that are true about the graph.

a)

The Zeros/Solutions are 1 & -3

b)

It has a minimum height of 4

c)

The Vertex is (-1, 4)

d)

In the Equations ax² + bx + c the value of "a" is negative because it opens down.

e)

In the equations ax² + bx + c, th value of "c" is 4

127.

What is the Vertex of the graph?

a)

(-4, -4)

b)

(0, 0)

c)

(-8, 0)

d)

(-2, -3)

128.

What is the y-intercept of the graph?

a)

-8

b)

-4

c)

1

d)

0

129.

What is the Axis of Symmetry?

a)

x = -8

b)

x = -4

c)

x = 4

d)

x = -2

130.

What are the X-Intercepts, Roots, Zeros, and Solutions?

a)

{0, -8}

b)

{8, 0}

c)

{4, -4}

d)

{-4, -4}

131.

What is the maximum height of the parabola?

a)

h = 0.563

b)

h = 10.063

c)

h = 5

d)

h = 1.356

132.

What is the initial height of the parabola?

a)

h = 0.563

b)

h = 10.063

c)

h = 5

d)

h = 1.356

133.

How long does it take the parabola to reach the ground?

a)

t = 0.563

b)

t = 10.063

c)

t = 5

d)

t = 1.356

134.

The pathway of an arrow can be represented by the equation h = -16t² + 80t + 25, where h is the height in feet and t is the time in seconds. What is the maximum height?

a)

h = 125 feet

b)

h = 80 feet

c)

h = 95 feet

d)

h = 140 feet

135.

A rock is dropped from a bridge 320 feet above a river. The pathway that the rock takes can be modeled by the equation h = -16t² + 320. How long will it take the rock to reach the river (ground)?

a)

4.5 seconds

b)

2.5 seconds

c)

3.8 seconds

d)

3.5 seconds

136.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2. What is the starting height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

137.

A baseball was thrown from a height of 5 feet with an initial velocity of 24 feet per second at an angle above the horizontal. Write an equation to represent the situation.

a)

y= -16x²+ 24x + 5

b)

y= -16x²+ 24x - 5

c)

y= 16x²+ 24x + 5

d)

y= x²+ 24x + 5

138.

Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to reach the maximum height?

a)

0.6 seconds

b)

11 seconds

c)

6 second

d)

this graph has a minimum

139.

Charlie shoots a basketball from a height of 6 feet with an initial upward velocity of 18 feet per second. How long will it take the ball to hit the floor if it doesn't hit the basket?

a)

1.39 seconds

b)

0.6 seconds

c)

6 second

d)

11 seconds

140.

What form is the following equation written in?
y = 2(x - 2)² + 4

a)

Standard

b)

Vertex

c)

Factored

d)

Hege

141.

What form is the quadratic equation written in?
y = 2x² + 5x + 5

a)

Hege

b)

Vertex

c)

Standard

d)

Factored

142.

What form is the quadratic equation written in?
y = (x - 2)(x + 4)

a)

Factored

b)

Standard

c)

Vertex

d)

Hege

143.

What are the x-intercept(s) for the graph of the function: y = (x - 2)(x + 4)

a)

-2, -4

b)

-2, 4

c)

2, -4

d)

2, 4

144.

What is the y-intercept for the graph of the function: y = (x - 2)(x + 4)

a)

2

b)

-4

c)

-6

d)

-8

145.

What is the direction of the opening for the graph of the function: y = (x - 2)(x + 4)

a)

up

b)

down

c)

left

d)

right

146.

What is the direction of the opening for the graph of the function: y = x² - 3x - 10

a)

right

b)

left

c)

down

d)

up

147.

What is the y-intercept for the graph of the function: y = x² - 3x - 10

a)

3

b)

-3

c)

-10

d)

10

148.

What are the x-interepts for the graph of the function: y = x² - 3x - 10

a)

-5, 2

b)

-5, -2

c)

5, -2

d)

5, 2

149.

What is the direction of the opening for the function: y = (-2x+1)(4x - 2)

a)

left

b)

right

c)

up

d)

down

150.

What is the y-intercept for the function:
y = (-2x+1)(4x - 2)

a)

-2

b)

2

c)

1

d)

-1

151.

What is the y-intercept for the function:
y = 3(x + 1)(x - 2)

a)

-2

b)

-6

c)

2

d)

6

152.

What is the vertex for the graph of the function? y = -2 (x - 3)² + 4

a)

(3, 4)

b)

(-3, 4)

c)

(-3, -4)

d)

(3, -4)

153.

What is the vertex for the graph of the function? y = -2x² + 4

a)

(2, 4)

b)

(-2, 4)

c)

(0, -4)

d)

(0, 4)

154.

What is the vertex for the graph of the function? y = -2(x - 7)²

a)

(7, 0)

b)

(-2, 0)

c)

(-2, -7)

d)

(2, -7)

155.

What is the equation for the axis of symmetry for the graph of the function?
y = (x - 1)² + 9

a)

x = -1

b)

x = 1

c)

x = 9

d)

x = -9

156.

If a = 3 and the vertex is (4, 2) what is the equation for the graph of the parabola?

a)

y = 3(x - 4)² - 2

b)

y = 3(x+ 4)² + 2

c)

y = 3(x - 4)² + 2

d)

y = 3(x + 4)² - 2

157.

Which of the following functions has a maximum value?

a)

y = 1/2x²

b)

y = 1/3x²

c)

y = 2x²

d)

y = -2x²

158.

What is the vertex of the graph of the function
y = (x - 2)² + 8 ?

a)

(-2, 8)

b)

(2, 8)

c)

(2, -8)

d)

(-2, -8)

159.

Which graph would be wider than the graph of y = x²? (Use DESMOS to help you)

a)

y = 10x²

b)

y = (0.25)x²

160.

Select all parabolas that have no solutions.

a)

b)

c)

d)

e)

161.

What is the vertex form of a quadratic function?

a)

f(x) = 2a(x-h)² + k

b)

f(x) = a(x-h)² + k

c)

f(x) = (x+h)² + k

d)

f(x) = a(x-h) - k

162.

Identify the vertex of f(x) = -2(x+1)² + 3

a)

(h,k)

b)

(3, 1)

c)

(-1,-3)

d)

(-1,3)

163.

What does the quadratic function that has a vertex of (3,4) look like?

a)

y = a(x+3)² + 4

b)

y = a(x-3)² + 4

c)

y = -a(x+3) - 4

d)

y = a(x-3)² - 4

164.

What steps transform the graph y = x² to y = 2(x+2)² - 5?

a)

Compress by 2, shifted 2 units left and 5 down

b)

Stretch by 5, shifted 5 units left and 2 down

c)

Stretch by 2, shifted 2 units left and 5 down

d)

Compress by 5, shifted 2 units left and 2 down

165.

Identify the vertex of f(x) = 5(x+6)² - 7

a)

(5,6)

b)

(0,0)

c)

(6,-7)

d)

(-6,-7)

166.

What steps transform the graph y = x² to y = x² + 8

a)

shifted up 8 units

b)

shifted down 8 units

c)

shifted left 8 units

d)

shifted right 8 units

167.

What steps transform the graph y = x² to y = (x - 4)²

a)

Shifted down 4 units

b)

Shifted left 4 units

c)

Shifted right 4 units

d)

Shifted up 4 units

168.

Match the equation to its description.

a)

Vertically stretched by 2 and shifted up 4

b)

Vertically compressed by 2 and shifted up 4

c)

Vertically stretched by 2 and shifted left 4

d)

Vertically compressed by 2 and shifted left 4

169.

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

a)

g(x)=x²- 5

b)

g(x)=x²+ 5

c)

g(x)=(x - 5)²

d)

g(x)=(x + 5)²

170.

ET: Match the following equation to its correct transformation.

a)

$\left(x-2\right)^2$

1.

Translate to the right

b)

$f\left(x\right)\ +\ 4$

2.

Translate up

c)

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

3.

Translate to the left

d)

$x^2\ -\ 5$

4.

Translate down

171.

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

172.

Identify the vertex and whether the graph opens up or down.

a)

(5, 2); opens up

b)

(5, 2); opens down

c)

(-5, 2); opens up

d)

(-5, 2); opens down

173.

Which equation represents the graph of g(x)?

a)

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

b)

$f\left(x\right)\ =\ -\left(x-4\right)^{2\ }-1$

c)

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

d)

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

174.

Which quadratic function is represented by the graph?

a)

y = 2(x - 4)² + 5

b)

y = 2(x + 4)² + 5

c)

y = -2(x - 4)² + 5

d)

y = -2(x + 4)² + 5

175.

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

176.

Ancient Egyptian queen Cleopatra claimed pickles

a)

made her beautiful.

b)

were reserved for the gods.

177.

The Department of Agriculture estimates that the average American eats ________ lbs of pickles a year.

a)

7.5

b)

10.2

c)

8.5

d)

3.5

178.

The phrase “in a pickle” was first introduced by _________________ in his play, The Tempest.

a)

William Shakespeare

b)

JK Rowling

c)

Henry Winkler

d)

Gordon Korman

179.

November ________ is National Pickle Day.

a)

10th

b)

12th

c)

14th

d)

16th

180.

If it weren’t for pickles, Christopher Columbus might never have “discovered” _____________.

a)

France

b)

America

c)

Spain

d)

Portugal

181.

In Connecticut in order for a pickle to officially be considered a pickle, it must bounce.

a)

False

b)

True

182.

In the Pacific Islands, natives pickle their foods in holes in the ground lined with _____________ leaves.

a)

banana

b)

coconut

c)

pineapple

d)

oak

183.

In the Delta region of Mississippi, ___________ pickles have become ridiculously popular with kids.

a)

Cajun

b)

Kool-Aid

c)

Taki

d)

Dorito

184.

Not everyone loves a sweet pickle. In America, dill pickles are __________ as popular as the sweet variety.

a)

three times

b)

four times

c)

two times

d)

six times

185.

According to the U.S. Supreme Court, pickles are technically a “fruit” of the vine.

a)

True

b)

Falso

186.

The African basenji is also called the barkless dog. What does it do instead of barking?

a)

It hums

b)

It uses sign language

c)

It yodels

d)

It doesn't make a sound

187.

Which U.S. President wrote the Gettysburg Address? He also owned a pet turkey and two pet goats!

a)

George Washington

b)

John Quincy Adams

c)

Ulysses S. Grant

d)

Abraham Lincoln

188.

What was the first rodent to be tamed by humans?

a)

hamsters

b)

rats

c)

squirrels

d)

guinea pigs

189.

If you take good care of a goldfish, how long can it live?

a)

up to a week

b)

6 months

c)

3 years

d)

20 years or more

190.

What is a female cat called?

a)

queen

b)

mare

c)

Catwoman

d)

her majesty

191.

What is inside the fingertips of astronauts' gloves?

a)

magnets

b)

heaters

c)

twinkle lights

d)

screwdrivers

192.

How long does it take the fastest elevator in the world to climb 89 floors?

Fun Fact: It is in the Taipei 101 building in Taiwan.

a)

2 seconds

b)

15 seconds

c)

39 seconds

d)

501 seconds

193.

Where were the world's first flushing toilets?

a)

The United States

b)

Brazil

c)

Australia

d)

The United Kingdom

194.

True or False: Nobody has ever traveled around the world in a hot-air balloon.

a)

True

b)

False

195.

Where was the world's first video game invented?

a)

Japan

b)

The United States

c)

China

d)

Australia

196.

One of SpongeBob's best friends is Sandy. What kind of creature is she?

a)

jellyfish

b)

squirrel

c)

whale

d)

starfish

197.

What is the name of the cat in this meme?

Fun Fact: This is Ms. Buffum's favorite meme!

a)

Blanche

b)

Smudge

c)

Smokey

d)

Kitty

198.

What genre is the book Smile by Raina Telgemeier?

a)

fantasy

b)

graphic novel

c)

science fiction

d)

historical fiction

199.

What is the group name for a gathering of kangaroos?

a)

mob

b)

suitcase

c)

hopper

d)

troop

200.

True or False: There are no active volcanoes in Antarctica.

a)

True

b)

False

201.

What food was created on accident

a)

icecream

b)

cheese

c)

potato chips

d)

tacos

202.

which food is not a seafood item

a)

caviar

b)

sushi

c)

calamari

d)

gold fish

203.

Sauerkraut is made from what finely cut vegetable?

a)

Lettuce

b)

Onion

c)

Cabbage

204.

In what type of restaurant would you typically find the condiment wasabi?

a)

Chinese

b)

French

c)

Japanese

205.

Who owns about 10% of all Five Guys restaurants?

a)

Larry Bird

b)

Shaquille O'Neal

c)

Magic Johnson

d)

Michael Jordan

206.

What fast food restaurant is credited with introducing the first modern-day drive-thru window?

a)

Arby's

b)

Wendy's

c)

McDonalds

d)

Sonic

207.

What is the main food you'll find in 'Guacamole'?

a)

Celery

b)

Parsley

c)

Basil

d)

Avocado

208.

What vegetable has varieties known as Bell Tower, Orobelle, and Jupiter?

a)

Onion

b)

Pepper

c)

Squash

d)

Carrot

209.

How many cups of fruit is recommended for most teenage boys?

a)

none

b)

1/2 cup

c)

1 cup

d)

2 cups

210.

How do you know if chicken has been cooked to the correct temperature?

a)

By the way it looks

b)

Check the internal temperature with a thermometer

c)

Cook for the time stated on the recipe

d)

Check the color of the juices

211.

Which vitamin do you get from the sun?

a)

Vitamin A

b)

Vitamin B

c)

Vitamin C

d)

Vitamin D

212.

Foods rich in starch (pasta or bread) are often known by what word starting with the letter C?

a)

Calcium

b)

Carbohydrates

c)

Carotene

d)

Chocolate

213.

"Taste the Rainbow" - which brand is this?

a)

Ghirardelli

b)

Reese's

c)

Hershey's

d)

Skittles

214.

Which chain restaurant created the small square hamburger?

a)

McDonald's

b)

White Castle

c)

Burger King

d)

Jack-in-the-Box

Algebra CBA #2 Review

Total questions: 214

Worksheet time: 44hrs 55mins

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