Free Printable SP2021 Unit 7 Finals Review

1.

How high would you jump if the equation for jumping from a cliff is:
h(t) = -16t² + 8t + 24?

a)

25

b)

24

c)

8

d)

26

2.

An object in launched directly upward at 64 feet per second (ft/s) from a platform 80 feet high. Its height is represented by the equation
s(t) = –16t² + 64t + 80.
What will be the object's maximum height?

a)

2 ft

b)

80 ft

c)

144 ft

d)

64 ft

3.

How fast would you reach the water if you jump of a cliff using the formula: h(t) = -16t² + 8t + 24?

a)

8

b)

1

c)

1.5

d)

1/4

4.

At what time would you reach 16 ft above the water if you jump of a cliff using the formula:
h = -16t² + 8t + 24?

a)

8

b)

1

c)

1/2

d)

1/4

5.

a)

8 seconds

b)

2.5 seconds

c)

2.225 seconds

d)

2.5 seconds

6.

a)

24 ft

b)

8 ft

c)

12 ft

d)

10 ft

7.

a)

16 seconds

b)

10 seconds

c)

8 seconds

d)

14 seconds

8.

a)

240 ft

b)

256 ft

c)

265 ft

d)

230 ft

9.

Solve each equation with the quadratic formula.

a)

-0.4, 0.4

b)

No Solution

c)

-2.3, 1.2

d)

-0.2, 0.2

10.

The height of a water balloon that is launched into the air is given by h(t) = -5x²+20x+25. When will the balloon explode on the ground?

a)

5 seconds

b)

1 second

c)

2 seconds

d)

3 seconds

11.

The height of a water balloon that is launched into the air is given by h(t) = -5t² + 40t + 2. From what height was the balloon released?

a)

2 meters

b)

5 meters

c)

40 meters

d)

20 meters

12.

If a toy rocket is launched vertically upward from ground level with an initial velocity of 128 feet per second, then its height h after t seconds is given by the equation
h(t) = -16t² +128t
When will the object reach its maximum height?

a)

4 ft

b)

0 seconds

c)

0 ft

d)

4 seconds

13.

Rafael drops a ball from a third-story window. This equation represents the approximate height, h, in meters, of the ball above the ground after it falls for t seconds.
h = -5t² + 45
When is the ball at ground level?

a)

only at t = 0 seconds

b)

only at t = 3 seconds

c)

only at t = 9 seconds

d)

at both t = 0 seconds and t = 3 seconds

14.

A frog is sitting on the ground when he is scared by a big dog. His movement is modeled by the equation h = -6t²+ 6t where h is the frog's height at any given time, t . How many seconds until the frog is back on the ground?

a)

0.5 seconds

b)

1 second

c)

1.5 seconds

d)

2 seconds

e)

3 seconds

15.

one-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

16.

two-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

17.

three-term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

18.

four or more term polynomial

a)

monomial

b)

binomial

c)

trinomial

d)

polynomial

19.

a zero-degree polynomial

a)

constant

b)

linear

c)

quadratic

d)

cubic

20.

a first-degree polynomial

a)

constant

b)

linear

c)

quadratic

d)

cubic

21.

a second-degree polynomial

a)

constant

b)

linear

c)

quadratic

d)

cubic

22.

a third-degree polynomial

a)

linear

b)

quadratic

c)

cubic

d)

quartic

23.

a fourth-degree polynomial

a)

linear

b)

quadratic

c)

cubic

d)

quartic

24.

a fifth-degree polynomial

a)

quintic

b)

quadratic

c)

cubic

d)

quartic

25.

Classify:
2x⁴+14x³−2x²

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

26.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

27.

What is the value of the coefficient?
−3x+6

a)

3

b)

6

c)

−3

d)

x

28.

Classify:
6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

29.

Classify by degree of polynomial:
7x²y +5xy - 2

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

30.

What is the value of the constant?
2x² + 4x − 5

a)

2

b)

4

c)

5

d)

−5

31.

Classify by degree of polynomial:
9x

a)

Constant

b)

Linear

c)

Quadratic

d)

Cubic

32.

What is the highest degree among terms in this polynomial?

6x² + 7x⁴ + x3 + x

a)

1

b)

2

c)

3

d)

4

33.

What is the highest coefficient among terms in this polynomial?

6x² + 7x⁴ + x3 + x

a)

6

b)

7

c)

1

d)

15

34.

Name this polynomial by degree

x² – 9

a)

linear

b)

quadratic

c)

cubic

d)

quartic

35.

Classify by TERM:

6x³+3x²+2x−4

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

36.

Name and Classify the Polynomial:
x² − 4

a)

quadratic binomial

b)

quadratic monomial

c)

linear binomial

d)

linear monomial

37.

Name and Classify the Polynomial:
3x²y + x + y

a)

quadratic trinomial

b)

cubic trinomial

c)

linear binomial

d)

quadratic binomial

38.

Name and Classify the Polynomial:

3x+2

a)

quadratic trinomial

b)

cubic trinomial

c)

linear binomial

d)

quadratic binomial

39.

Name and Classify the Polynomial:

4z

a)

quadratic trinomial

b)

cubic trinomial

c)

linear monomial

d)

quadratic binomial

40.

(x + 7)(x + 9)

a)

x² + 63x + 16

b)

x² + 16x + 63

c)

x² + 79

d)

x² + 16x + 2

41.

(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

42.

(x + 5)(x + 4)

a)

x² + x + 20

b)

x² + 20x + 9

c)

x² + 9x + 20

d)

x² - 9x + 54

43.

(x - 4)(x - 6)

a)

x² -10x + 24

b)

x² - 10x - 24

c)

x² +10x + 24

d)

x² + 10x - 24

44.

(x - 1)(x - 8)

a)

x² + 9x + 8

b)

x²+ 9x - 8

c)

x² - 9x - 8

d)

x² - 9x + 8

45.

Simplify:
(x-7)²

a)

x²-49

b)

x²+49

c)

x²-14x+49

d)

x²-14x-49

46.

(x + 5)²
Hint: try (x + 5)(x + 5)

a)

x² + 25

b)

x² + 10x + 25

c)

x² + 10 x + 10

d)

x² + 10

47.

Simplify:

5(3x+2)

a)

3x+10

b)

15x+10

c)

15x-10

d)

3x-10

48.

The answer of (x-9)²will be a perfect squared ______

a)

Binomial

b)

Trinomial

c)

Monomial

d)

Polynomial

49.

(x+10)(x-10)

a)

x² - 100

b)

x² + 100

c)

x² + 20x - 100

d)

x² -20x + 100

50.

Multiply

(a+b)(a-b)

a)

$a^2-b^2$

b)

$a^2+b^2$

c)

$a^2+ab+b^2$

d)

$a^2+2ab+b^2$

51.

Multiply

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

a)

$x^2-y^2$

b)

$x^2+y^2$

c)

$x^2+xy+y^2$

d)

$x^2-2xy+y^2$

52.

When a polynomial is written in standard form, the polynomial is written with its exponents in ____________ order.

a)

Increasing

b)

Decreasing

c)

A random pattern

53.

When a polynomial is written in standard form, the coefficient of the first term is called the _____________.

a)

Boss coefficient

b)

Leading coefficient

c)

Best coefficient

d)

Greatest common coefficient

54.

Which of these is in Standard Form?

a)

$4x^2+12x-13x^3$

b)

$5-3x$

c)

$2x^4-12x^2+5x-9$

d)

$5x^5+4x^{\text{4}}+12x^3-23x+15$

55.

Which polynomial is written in standard form?

a)

-3x + 8x² + 9x³ - 11

b)

9x³ + 8x²- 3x - 11

c)

8x²+ 9x³ -11 - 3x

d)

-11 - 3x + 8x² + 9x³

56.

Which polynomial is written in standard form?

a)

8x - 11x²

b)

4x³ + 7x - 9

c)

12 + 4x

d)

13x + 7x² - 9x³ + 12

57.

Is this expression in Standard Form?
6w² - 9w³

a)

Yes

b)

No

58.

Put in Standard Form
6w² - 9w³

a)

It is in Standard Form

b)

-9w³ + 6w²

59.

What is the Leading Coefficient?
-9w³ + 6w²

a)

-9

b)

6

c)

3

d)

2

60.

Put this expressions in Standard Form.
5y - 9 - 2y²

a)

-2y²+ 5y - 9

b)

2y²- 5y - 9

c)

5y - 9 - 2y²

d)

-9 - 5y - 2y²

61.

Is the following written in standard form:
c + 8c³ - 3c⁷

a)

yes

b)

no

62.

The following polynomial is written in standard form:
7x³ - 11x² + 8x - 5

a)

True

b)

False

63.

Put in Standard Form.
12 - 3x³ - 10x - x²

a)

- 3x³ - x² - 10x + 12

b)

3x³ - x² + 10x + 12

c)

12 - 3x³ - 10x - x²It is in Standard Form.

d)

12 - 10x - 3x³ - x²

64.

Simplify

(x³-x²+4) - (3x³-2x²+3)

a)

-2x³-3x²+7

b)

-2x³+x²+1

c)

2x³-3x³-1

d)

4x³-3x²+7

65.

Add the polynomials (x-2) and (x²+3)

a)

x²+x+1

b)

x³+5

c)

x³+1

d)

x³-1

66.

(5x⁴-2x²+4x-3) - (5x⁴+ 3x³- 4x+3)

a)

-3x³ - 5x² + 8x - 6

b)

-3x³ - 2x² + 8x - 6

c)

-3x³ - 2x²

d)

3x³ - 2x²

67.

(5x²y-xy²+5x-3)+(4xy²-3y+7xy-5)+(2x²y-3xy)

a)

7x²y + 3xy² - 3y + 4xy + 5x - 8

b)

7x²y + 3xy² - 3y + 4xy + 5x + 2

c)

7x²y - 5xy² - 3y + 4xy + 5x - 8

d)

3x²y + 3xy² - 3y + 4xy + 5x - 8

68.

Multiply (3x – 1)(x + 5)

a)

3x² + 4x + 5

b)

3x² + 4x - 5

c)

3x² + 14x + 5

d)

3x² + 14x - 5

69.

Multiply: (r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

70.

Multiply 7x²y³ (2x⁴y⁵+6xy³)

a)

14x⁸y¹⁵+42x²y⁹

b)

9x⁶y⁸+13x³y⁶

c)

14x⁶y⁸+42x³y⁶

d)

14x⁶y⁸+42x²y⁶

71.

What is the Perimeter?

a)

3x - 3 inches

b)

6x - 6 inches

c)

3x - 6 inches

d)

6x - 3 inches

72.

What is the Area?

a)

2x² - 3x - 18 inches²

b)

2x² + 3x + 18 inches²

c)

2x² + 9x - 18 inches²

d)

2x² - 9x - 18 inches²

73.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

74.

Divide (6x²+12x) by 3x

a)

2x+4

b)

2+6/3x

c)

2+4/x

d)

3+6/2x

75.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

76.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

77.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

78.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

79.

Name the vertex

a)

(1,1)

b)

(0,0)

80.

Name the Vertex

a)

(3, -4)

b)

(-3, -4)

81.

Name the Axis of Symmetry

a)

x = 1

b)

x = 0

82.

x-intercepts

a)

-4 and 0

b)

-1 and -2

83.

y-intercept

a)

1

b)

-1/2

84.

Maximum or Minimum

a)

Maximum

b)

Minimum

85.

What are the x-intercepts for y = x² + 4x + 3

a)

-1 and -3

b)

1 and 4

86.

What is the minimum value of the quadratic function

f(x) = x² - 2x + 7

a)

6

b)

7

87.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

88.

What is the axis of symmetry for the following equation?
y=4x²-8x+9

a)

x=-8

b)

x=1

c)

x=-1

d)

x=2

89.

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

a)

(-2, 16)

b)

(2, 0)

c)

(2, 4)

d)

(-2, 4)

90.

Find the y-intercept of
f(x) = 2x²-2x + 1

a)

2

b)

-2

c)

1

d)

-1

91.

What is the name given to the dotted line?

a)

A) y-intercept

b)

B) axis of symmetry

c)

C) vertex

d)

D) root

92.

What is the name given to the point

(1 , 0)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

93.

What is the name given to the point

(8 , 7)?

a)

A) just a plain point

b)

B) root

c)

C) y-intercept

d)

D) vertex

94.

The U-shaped graph of a quadratic equation is called a ________.

a)

curve

b)

parabola

c)

linear equation

d)

vertex

95.

Find the vertex of the following quadratic equation:

y = 3x²

a)

(0, 3)

b)

(-3, 0)

c)

(o, -3)

d)

(0, 0)

96.

Find the vertex of the following quadratic equation:

y = -x² +2x + 1

a)

(1, 2)

b)

(-1, -2)

c)

(-1, 3)

d)

(0, 0)

97.

Find the vertex of the following quadratic equation:

y = 2x² -16x + 33

a)

(-4, 129)

b)

(4, 1)

c)

(0, 0)

d)

(2,9)

98.

If the x-value is 6, what is the y-value given:

y=-x^2+3x+5

a)

y = -13

b)

y = 11

c)

y = 35

d)

y = 59

99.

Which of the following equations matches standard form of a quadratic?

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

100.

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

101.

What is the "formula" for finding the axis of symmetry?

a)

$y=ax^2+bx+c$

b)

$x=\frac{-b}{2a}$

c)

$y=mx+b$

d)

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

102.

Factor: x² + 9x + 18

a)

(x + 3)(x + 6)

b)

(x - 3)(x - 6)

c)

(x + 9)(x + 2)

d)

(x + 3)²

103.

Factor:
x² -17x - 60

a)

(x - 20)(x + 3)

b)

(x - 3)(x + 20)

c)

(x - 3)(x - 20)

d)

(x + 3)(x + 20)

104.

Factor 12z² - 6z + 42

a)

6 (2z² - z + 7)

b)

6z (2z - z + 7)

105.

Factor

x²-17x+72

a)

(x+2)(x-36)

b)

(x-8)(x+9)

c)

(x-8)(x-9)

d)

(x-4)(x-7)

106.

x²+10x+16

a)

(x+2)(x+8)

b)

(x-2)(x-8)

c)

(x+1)(x+16)

d)

(x+6)(x+10)

107.

5x²-15x+10

a)

(5x-2)(x-5)

b)

5(x-2)(x+1)

c)

Your Face

d)

5(x-2)(x-1)

108.

Is this a perfect square trinomial?
x² + 16x + 64

a)

Yes

b)

No

109.

Factor:
x² - 30x + 225

a)

(x + 15)²

b)

(x - 15)²

c)

(x + 25)²

d)

(x - 25)²

110.

Fully Factor the Following
25x²-81

a)

(5x-9)²

b)

(5x+9)(5x-9)

c)

25(x-9)²

d)

(9x+5)(9x-5)

111.

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

a)

8x²

b)

16x²

c)

16x

d)

96x³

112.

Find the zeros of this quadratic.

a)

b=4/5, b=3

b)

b=4, b=-3

c)

b=1/5, b=3

d)

b=4/5, b=-3

113.

a)

-2, 4

b)

-8

c)

±8

d)

No real solution

114.

What are the zeros?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

115.

What is another word for zeros?

a)

y-intercepts

b)

roots

c)

vertex

d)

axis of symmetry

116.

What are the roots of the function?

a)

{x|x = 4, -1}

b)

(-4, 1)

c)

{x|x = -4, 1}

d)

(4, 0) (-1, 0)

117.

What are the x-intercept/s of the function?

a)

{x|x = 3}

b)

{x|x =-3,3}

c)

(3, 0)

d)

(-3, 0)&(3, 0)

118.

a)

± 1

b)

± 4/3

c)

± 3/4

d)

No real solution

119.

What is this?

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.

120.

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

a)

Get factored form

b)

Write down: a=1, b=6, c=-13

c)

Make it equal 0 by subtracting 3 on each side

d)

Type it all in a calculator.

121.

a)

±81

b)

±9

c)

±3

d)

No real solution

122.

a)

-4, 2

b)

-2, 4

c)

-16

d)

-4

123.

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

a)

1 Real Solution

b)

2 Real Solutions

c)

Half a Solution

d)

No Real Solution

124.

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

125.

Solve 4x² + 12x + 11 = 0

a)

-2.2 or -0.8

b)

-2 or -1

c)

2 or 1

d)

No Solution

126.

Solve the quadratic equation by factoring
a² + 10a + 21 = 0

a)

± √21

b)

-3 , -7

c)

3 , 7

d)

28 , -7

127.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

128.

a)

A

b)

B

c)

C

d)

D

129.

a)

A

b)

B

c)

C

d)

D

130.

a)

A

b)

B

c)

C

SP2021 Unit 7 Finals Review

Total questions: 130

Worksheet time: 7hrs 27mins

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