Free Printable Semester Review

1.

Simplify:
(x - 9)(x - 7)

a)

x² - 2x - 63

b)

x² - 16x - 63

c)

x² - 2x + 63

d)

x² - 16x + 63

2.

Multiply: (r + 7)(r − 7)

a)

r ²− 49

b)

r ²+ 14

c)

r ² − 7r + 49

3.

Write in general form:(x - 3)(x +10)

a)

x² - 7x + 13

b)

x² - 6x - 30

c)

x² + 7x - 30

d)

x² + 13x + 30

4.

(x +2)(x + 3)

a)

x² + 5x + 6

b)

x² + x + 6

c)

x² + 5x + 5

d)

x² + 6x + 6

5.

What is the GCF of 12x³- 18x?

a)

3x

b)

6x

c)

2x²

d)

6x²

6.

Factor 30-24x²

a)

6(5-4x²)

b)

x(5-4x)

c)

6(5x-4x²)

d)

6(15-12x²)

7.

Factor.

-9w⁵+ 21w³

a)

-3(3w⁵ - 7w³)

b)

3w²(-3w³ + 7w)

c)

3w⁵(-3w + 7w²)

d)

-3w³(3w² - 7)

8.

Which set of binomials matches the following trinomial? *Multiply each binomial to see which one matches
x² + 5x + 4

a)

(x + 1)(x + 5)

b)

(x + 1) (x - 4)

c)

(x + 1) (x + 4)

9.

Which set of binomials matches the trinomial
2x² - 7x - 4

a)

(x + 4)(2x + 1)

b)

(2x + 1)(x - 4)

c)

(x + 4)(x + 7)

d)

(2x - 1)(x - 5)

10.

Factor: x² – 5x – 24

a)

(x - 5)(x + 19)

b)

(x - 8)(x + 3)

c)

(x - 3)(x + 8)

d)

(x - 19)(x + 5)

11.

Factor the Trinomial:
x² - 8x + 15

a)

(x + 5) ( x + 3)

b)

(x - 5) (x - 3)

c)

(x + 15) (x - 1)

d)

(x - 7) (x - 8)

12.

The area of a rectangle is
(x² + 17x+42) ft².
If its width is (x + 3) ft.
What is its length?

a)

(x + 17) ft

b)

(x + 14) ft

c)

(x - 14) ft

d)

(x - 17) ft

13.

Factor: x² + 2x – 3

a)

(x - 2)(x + 1)

b)

(x + 1)(x - 3)

c)

(x + 2)(x - 1)

d)

(x - 1)(x + 3)

14.

Factor completely.

x³ - 6x² - 16x

( Note: Factor out GCF = x first.)

a)

x ( x² - 6x - 16 )

b)

x ( x - 8 ) ( x + 2 )

c)

x ( x - 8 ) ( x - 2 )

d)

x ( x + 8 ) ( x - 2 )

15.

Completely factor:

2n^2+3n-9

Answer with NO spaces

(a)

16.

Completely factor:

16b^2+60b-100

Answer with NO spaces

(a)

17.

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

18.

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

19.

^{The perimeter of the
triangle is 10x+20. Find the length of the missing side}

a)

6x+10

b)

15x+30

c)

5x+10

d)

5x-10

20.

Find the perimeter of the rectangle

a)

P= 10x + 2

b)

P= 12x

c)

P = 12

d)

P = 6x² + 3x

21.

Simplify:

a)

-4x - 3

b)

x² - 3

c)

-4x² - 6x

d)

-4x - 6

22.

Simplify the expression.
-3x²( 7x²- x + 4)

a)

-21x⁴ + 3x³ -12x²

b)

7x² - x + 4 (-3x²)

c)

21x⁴+ 3x³+ 12x²

d)

-12x²+ 3x³-21x⁴

23.

Simplify the following expression:
-8 (5b + 2) -7 (b - 5)

a)

-33b + 19

b)

-47b² + 21

c)

33b - 19

d)

-47b +19

24.

a)

1/m²

b)

m²

c)

m⁸

d)

1/m⁸

25.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

26.

a)

A

b)

B

c)

C

d)

D

27.

Divide:
(9x² + 6x) ÷ 3x

a)

3x + 2

b)

3x² + 2x

c)

5x²

d)

3x + 6

28.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

29.

a)

4y⁶

b)

4y²²

c)

30y⁶

d)

30y²²

30.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

31.

Divide the polynomial by the monomial.

a)

2x⁸-8x²-28x

b)

2x⁸-2x²-7x

c)

8x⁷-8x-28x

d)

2x⁷-2x -7

32.

Divide 8x² -4x + 12 by 2x

a)

4x+2

b)

4x - 2 + 6/x

c)

4x-2

d)

4x-2+12/2x

33.

a)

5p²- 16p

b)

5p + 4

c)

5p - 4

d)

5p + 4p

34.

Divide:
(24x + 4) / (6x+1)

a)

4

b)

4 + 4/6x+1

c)

4x + 0

d)

4x

35.

What type of polynomial is
2x²

a)

Monomial

b)

Binomial

c)

Trinomial

36.

What type of polynomial is
4x³+ 2

a)

Monomial

b)

Binomial

c)

Trinomial

37.

What type of polynomial is
4x² - 21x + 5

a)

Monomial

b)

Binomial

c)

Trinomial

38.

What is the degree of the following polynomial?
2x³

a)

First Degree

b)

Second Degree

c)

Third Degree

d)

Fourth Degree

39.

What is the degree of the following polynomial?
3x⁴ + 4x + 1

a)

First Degree

b)

Second Degree

c)

Third Degree

d)

Fourth Degree

40.

What is the degree of the polynomial function
P(x)=3x⁴-7x²-2x⁷-x+4

a)

4

b)

7

c)

2

d)

11

41.

a)

5w² − 4w + 3

b)

12w² − 9w + 6

c)

12w² − 12w + 9

d)

5w² − 12w+ 9

42.

Divide the polynomial by the monomial.

a)

15x⁹ - 8x³

b)

3x⁶ - 8x³

c)

-5x¹²

d)

3x⁶ - 40x³

43.

a)

xy+2xy-3xy

b)

3x+2-3xy

c)

x+2-3xy

d)

x+2+3xy

44.

a)

3xy²+5y-2

b)

3xy²+5y+2

c)

3xy+5y-2

d)

3xy+5y+2

45.

a)

8x²y³+7x⁴+5y

b)

8x⁶y⁷-7x⁵y⁸-7x⁴y⁵

c)

8x⁶y⁷-7x⁵y⁸-5x⁴y⁵

d)

8x²y³-7xy⁴-5y

46.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

47.

What is the constant of this polynomial?

2x³- 8x²+ 3x - 7

a)

2

b)

-8

c)

3

d)

-7

48.

What is the coefficient of this term?

9x³

a)

None

b)

9

c)

3

d)

x

49.

The number in front of the variable is called the....

a)

exponent

b)

base

c)

coefficient

d)

fronter

50.

Which pair is an example of like terms?

a)

2a and 2b

b)

x and x²

c)

3k and 3k³

d)

y² and 2y²

51.

Divide:
(6x + 9) / (3x)

a)

2 + 9/3x

b)

2 + 9

c)

2 + 9/3

d)

2

52.

Divide:
(9x² + 6) / (3x)

a)

3x + 6/3x

b)

3x + 2

c)

3 + 6/3x

d)

3x + 6

53.

Evaluate the expression using the quotient rule.

a)

1

b)

g¹⁰

c)

g²⁵

d)

g

54.

What is the answer to 10b/2b?

a)

5b

b)

4

c)

5

d)

4b

55.

40x⁴ ÷ 8x

a)

5x³

b)

5

c)

5x⁴

d)

320x⁵

56.

100m²n ÷ 20mn

a)

5m

b)

10m²

c)

25mn

d)

50m³n²

57.

6xy³ ÷ 2y²

a)

3xy

b)

x²y

c)

12xy³

d)

3

58.

25x⁵/5x³

a)

5x

b)

5x⁸

c)

-5x²

d)

5x²

59.

Simplify: 54y¹⁰÷ 6y⁵

a)

⁹y¹⁵

b)

y⁵⁰

c)

9y²

d)

9y⁵

60.

24j²k² ÷ 12k

a)

2j²k

b)

4jk

c)

-2j²k²

d)

3j²k³

61.

a)

8x⁴

b)

8x⁸

c)

6x⁴

d)

6x⁸

62.

What is the answer to 10b/2b?

a)

5b

b)

4

c)

5

d)

4b

63.

Divide8x² -4x + 12 by 2x

a)

4x+2

b)

4x-2+6/x

c)

4x-2

d)

4x-2+12/2x

64.

Express the following in Interval Notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

e)

(8, -8]

65.

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

e)

(8, -7]

66.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

67.

Write the following in interval notation

x < 3 or x ≥ 5

a)

(3, -∞) U (∞, 5]

b)

[-∞, 3) U [5, ∞]

c)

(-∞, 3) U [5, ∞)

d)

(3, -∞] U [∞, 5]

e)

(3, -∞] U [5, ∞]

68.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

69.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

70.

Look at the picture. Which graph best represents the solution set (-∞, -2) U (5, ∞)?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

71.

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

72.

What is the range?

a)

\left(0,\ \infty\right)

b)

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

c)

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

d)

None of the answer choices

73.

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

74.

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

75.

What is the domain?

a)

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

b)

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

c)

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

d)

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

e)

None of the answer choices

76.

What is the range?

a)

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

b)

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

c)

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

d)

None of the answer choices

e)

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

77.

What is the domain?

(a)

78.

What is the range?

(a)

79.

What is the domain?

a)

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

b)

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

c)

[-2,3]

d)

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

e)

None of the answer choices

80.

What is the domain?

a)

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

b)

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

c)

(-2, 3)

d)

[-2, 3]

e)

None of the answer choices

81.

What is the domain?

a)

(-8, 4]

b)

(-8,-3) U [-1, 4]

c)

[-8,-3) U [-1, 4]

d)

(-8,-4] U [-1, 4]

e)

(-2, 6]

82.

What is the range?

a)

(-2, 6] U[1,4]

b)

(-8, 2] U (3, 6]

c)

(-8,-3) U [-1, 4]

d)

(-2, 6]

e)

None of the answer choices

83.

The graph of a quadratic function is called

a)

a line

b)

a hyperbola

c)

a parabola

d)

a cubic

84.

Standard form of a quadratic equation

a)

y=x²

b)

y=ax²+bx+c

c)

y=mx+b

d)

y=x

85.

3x² - 4 is a quadratic

a)

true

b)

false

86.

Which of the following is NOT a quadratic function

a)

f(x) = -3x²

b)

f(x) = -5x - x²

c)

y = 3x³- 4x + 5

d)

$A=\pi r^2$

87.

What are the green dots called? [check ALL that apply]

a)

zeros

b)

vertex

c)

parabola

d)

roots

e)

x-intercepts

88.

What is the equation for axis of symmetry?

(a)

89.

Does this parabola have a maximum or minimum?

a)

Maximum

b)

Minimum

90.

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

91.

What are the x- intercepts?

a)

x= 0 and x= -4

b)

x= 0 and x= 4

c)

y= 0

d)

x= 2

92.

What is the equation for this parabola in factored form?

a)

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

b)

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

c)

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

d)

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

93.

The formula x = -b/2a is used to find, [check ALL true answers]

a)

the roots

b)

the x-value of the vertex

c)

the y-intercept

d)

the axis of symmetry

e)

the zeros

94.

What is the vertex of the quadratic function:
y = x² - 6x + 11?

a)

(3,2)

b)

(-3,-2)

c)

(-3,2)

d)

(3,-2)

95.

When a parabola opens downward the vertex is

a)

a minimum

b)

a maximum

c)

a vertex

d)

a parabola

96.

Does the equation open or or down?
Y = -3x² +7x - 2

a)

up

b)

down

97.

The equation

y = x² -12x + 36 has

a)

no solutions

b)

1 solution

c)

2 solutions

d)

3 solutions

e)

more than 3 solutions

98.

Find the roots of this equation
x²+ x - 6 = 0

a)

4, -1

b)

3, -2

c)

-6, 1

d)

2, -3

99.

What is the factored form of this curve?

a)

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

b)

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

c)

$f\left(x\right)=\left(x\right)\left(x-4\right)$

d)

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

100.

Choose the correct factors for the following trinomial. $x^2+2x-8$

a)

x + 6

b)

x + 4

c)

x - 2

d)

x - 10

101.

Which of the following is NOT a zero of the polynomial $2x^2-2x-12$ ? Select all that apply.

a)

-3

b)

3

c)

-1

d)

-2

e)

0

102.

Match the graph above with it's equation.

a)

$-\left(x-4\right)\left(x+2\right)$

b)

$-\left(x+1\right)^2+9$

c)

$2\left(x-1\right)^2-8$

d)

$\left(x+1\right)\left(x-3\right)$

e)

$2x^2+4x-6$

103.

Match the graph above with it's equation.

a)

$-\left(x-4\right)\left(x+2\right)$

b)

$-\left(x+1\right)^2+9$

c)

$2\left(x-1\right)^2-8$

d)

$\left(x+1\right)\left(x-3\right)$

e)

$2x^2+4x-6$

104.

Match the graph above with it's equation.

a)

$-\left(x-4\right)\left(x+2\right)$

b)

$-\left(x+1\right)^2+9$

c)

$2\left(x-1\right)^2-8$

d)

$\left(x+1\right)\left(x-3\right)$

e)

$2x^2+4x-6$

105.

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

106.

The graph below describes a ball that was kicked. Which of the following is a true statement describing the graph?

a)

The ball was kicked from 500 centimeters from the ground and it traveled for 4 seconds.

b)

The ball was kicked from the ground and it was in the air for 4 seconds.

c)

The ball had a maximum height of 2000 centimeters and it was in the air for a total of 2 seconds.

d)

The ball had a maximum height of 1000 centimeters and it was in the air for 4 seconds.

107.

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

a)

ax + by = c

b)

y = a(x - h)² + k

c)

y = ax² + bx + c

d)

y = mx + b

108.

Solve
4m² - 100 = 0

a)

m=25, -25

b)

m=96

c)

m=5, -5

d)

m=-96

109.

What is the significance of the ordered pair (0, -2) 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

110.

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

111.

Determine the domain and range of the function

a)

Domain: All real numbers, Range: All real numbers

b)

Domain: x ≥ -4, Range: All real numbers

c)

Domain: All real numbers, Range: y ≥ -4

d)

Domain: -1 ≤ x ≤ 5, Range: y ≥ -4

112.

What is the equation of the axis of symmetry?

(a)

113.

$(x+7)(x-3)=0$ After writing this equation in standard form, what is the value of b ?

a)

-7

b)

3

c)

4

d)

10

114.

A rocket was launched from a balcony 10 feet from the ground. The rocket modeled the equation h(t)= -t² + 6t + 10, where t represent time in seconds and h(t) represents the height in feet. What is the maximum height the rocket will reach before it starts to go back down?

a)

10 feet

b)

19 feet

c)

13 feet

d)

16 feet

115.

Solve the following equation

$x^2=64$

a)

32

b)

$\pm8$

c)

$\pm9$

d)

8

116.

√48

a)

4√2

b)

6√3

c)

4√3

d)

4√2

117.

√96

a)

4√6

b)

3√6

c)

6√5

d)

6√8

118.

The number under the radical sign or square root sign is called the ______.

a)

radical sign

b)

radicand

c)

factor

d)

exponent

119.

Simplify the following radical: 2√24

a)

4√6

b)

2√6

c)

24√2

d)

4√4

120.

a)

7√3

b)

Can't Simplify

c)

6√15

d)

6√3

121.

a)

8√6

b)

8√12

c)

12√6

d)

12√12

122.

Add: 4√7 - 10 √7 + 7√7

a)

-6√7

b)

14√7

c)

-3√14

d)

√7

123.

Simplify: 2√40 - 3√10

a)

5√10

b)

√10

c)

-√30

124.

Simplify:
√6 ⋅√6

a)

√36

b)

2√3

c)

12

d)

6

125.

2√5 - √5 + 4√5 + √3

a)

6√5 + √3

b)

5√5 + √3

c)

6√5

d)

6√3

126.

Simplify the following radical: √300

a)

3√10

b)

2√150

c)

100√3

d)

10√3

127.

Simplify the following radical: √150

a)

5√15

b)

5√2

c)

5√6

d)

15√5

128.

Simplify 4√75

a)

4√5

b)

12√5

c)

20√3

d)

7√3

129.

Simplify the radical - 10√20

a)

5√20

b)

-20√5

c)

4√5

d)

40√5

130.

Simplify:

√72

a)

√72

b)

2√2

c)

6√2

d)

4√18

131.

In simplest radical form, -5√75 is equivalent to:

a)

5√3

b)

-15√5

c)

√3

d)

-25√3

132.

What is the simplified form of √140

a)

4√35

b)

10√14

c)

2√70

d)

2√35

133.

Simplify:
√100

a)

1

b)

10

c)

10²

d)

Already simplified

134.

Simplify:
√200

a)

10√2

b)

2√10

c)

50√2

d)

2√50

135.

Simplify:
3√16

a)

12

b)

48

c)

√12

d)

3√4

136.

Simplify the following radical: √32

a)

3√2

b)

4√8

c)

16√2

d)

4√2

137.

√1

a)

1

b)

2

c)

10

d)

100

138.

√169

a)

√13

b)

13

139.

√125

a)

5√5

b)

25√5

c)

5√25

d)

5√2

140.

√243

a)

3√3

b)

9√3

c)

81√3

d)

3√81

141.

√121v

a)

11v

b)

11√v

c)

11v√v

d)

√11v

142.

√75x²

a)

5x²√3

b)

5x

c)

5x√3x

d)

5x√3

143.

√45x⁴y⁷

a)

3x²y³√5

b)

9x²y³√5y

c)

3x²y³√5y

d)

3x⁴y⁷

144.

√512a¹⁰

a)

8a⁵√4

b)

16a⁵√2

c)

16a¹⁰√2

d)

16a⁵√a

145.

a)

A

b)

B

c)

C

d)

D

146.

a)

A

b)

B

c)

C

d)

D

147.

a)

A

b)

B

c)

C

d)

D

148.

Divide:

a)

√12

b)

(4√3)/3

c)

√3

d)

(2√3)/3

149.

SImplify:

a)

5√6

b)

25√6

c)

√150

d)

10√15

150.

Simplify:

a)

12√90

b)

√10

c)

2√10

d)

(2√5)/2

151.

a)

A

b)

B

c)

C

d)

D

152.

a)

A

b)

B

c)

C

d)

D

153.

a)

A

b)

B

c)

C

d)

D

154.

a)

A

b)

B

c)

C

d)

D

155.

a)

A

b)

B

c)

C

d)

D

156.

a)

A

b)

B

c)

C

d)

D

157.

Rationalize the denominator.

a)

2x³

b)

(x√35x) / 5

c)

(x√7x) / 25

d)

49x⁷y / 5

158.

Divide and simplify.

a)

4x√x

b)

3x²/x³√36

c)

2x

d)

4x²

159.

Simplify this expression.

a)

√18x⁵y

b)

3x²√2xy

c)

√18x³⁶y⁵⁶

d)

3√2x¹³y¹⁵

160.

Simplify:

a)

√5

b)

(√14)/2

c)

√7

d)

Cannot be simplified

161.

a)

√21/6

b)

√21

c)

7√3

d)

7/8

162.

a)

2√5

b)

5√5

c)

15√2

d)

10√2

163.

Rationalize the square root.

a)

2

b)

(2√3)/3

c)

6

d)

2√6

164.

Perform the operation. Express your answer in simplest form.

a)

(2x³y√30)/(y⁴√3x)

b)

(2x³√30)/(y³√3x)

c)

(2x²√10x)/(y³)

d)

(2x²√5x)/(y³)

165.

$\frac{\sqrt{10x}}{\sqrt{5x^6}}$

a)

$\frac{\sqrt{2x}}{x^3}$

b)

$\frac{\sqrt{2}}{x^3}$

c)

$\frac{\sqrt{2}}{x^5}$

d)

None of these.

166.

Simplify:

\sqrt{12}\cdot\sqrt{10}

a)

$2\sqrt{30}$

b)

$10\sqrt{3}$

c)

$\sqrt{22}$

d)

$120$

167.

Simplify:

$6\sqrt{2}\cdot5\sqrt{14}$

a)

$32\sqrt{7}$

b)

$60\sqrt{7}$

c)

$2\sqrt{7}$

d)

$30\sqrt{7}$

168.

Simplify:

$\frac{\sqrt{20}}{\sqrt{5}}$

a)

$\frac{2\sqrt{5}}{5}$

b)

$\frac{1}{5}$

c)

$4$

d)

$2$

169.

Simplify:

$\sqrt{6}\cdot\sqrt{6}$

a)

$\sqrt{36}$

b)

$2\sqrt{3}$

c)

$\sqrt{12}$

d)

$6$

170.

Simplify:

$5\sqrt{6}\cdot6\sqrt{18}$

a)

$6\sqrt{3}$

b)

$66\sqrt{3}$

c)

$2\sqrt{6}$

d)

$180\sqrt{3}$

171.

Simplify:

$-2\sqrt{10}\cdot3\sqrt{20}$

a)

$-60\sqrt{2}$

b)

$10\sqrt{2}$

c)

$-6\sqrt{30}$

d)

$-6\sqrt{200}$

172.

Simplify

a)

$4\sqrt{2}$

b)

$4$

c)

$2\sqrt{2}$

d)

$8\sqrt{2}$

173.

$\frac{12\sqrt{48}}{2\sqrt{12}}$

a)

12

b)

$6\sqrt{4}$

c)

$12\sqrt{4}$

d)

24

174.

$\sqrt{\frac{24}{6}}$

a)

$\sqrt{18}$

b)

$\sqrt{4}$

c)

4

d)

2

175.

$\frac{\sqrt{200}}{\sqrt{2}}$

a)

$\sqrt{10}$

b)

10

c)

$\sqrt{100}$

d)

100

176.

$\frac{\sqrt{147}}{\sqrt{3}}$

a)

7

b)

$\sqrt{7}$

c)

$\sqrt{49}$

d)

49

177.

Which is the simplest form of $\frac{4\sqrt{5}}{\sqrt{2}}$ ?

a)

$2\sqrt{10}$

b)

$\frac{20}{\sqrt{10}}$

c)

$\frac{4\sqrt{10}}{\sqrt{4}}$

178.

Simplify 8√80

a)

8√2

b)

32√5

c)

-16√2

d)

10√6

179.

Simplify the radical expression

a)

b)

c)

d)

180.

Simplify

a)

√5

b)

-3√6

c)

√6

d)

6

181.

Simplify:

a)

4√30

b)

√4√30

c)

√2√30

d)

2√30

182.

Simplify:

a)

2√3√14

b)

4√42

c)

2√42

d)

4√3√14

183.

a polynomial containing two unlike terms. (e.g., 2x + 6 or a - b).

(a)

184.

The highest exponent value of any of its terms, e.g.

a + b ... degree 1

a² + b ... degree 2

a³ + b ... degree 3

(a)

185.

The variable's exponent, also called the 'order'.

(a)

186.

A term whose variable's degree is one.

(a)

187.

An expression that contains one term which may be

a number, a variable or a product of numbers and

variables, with no negative or fractional exponents.

(a)

188.

A binomial that is multiplied by itself. (i.e. (a + b)²)

(a)

189.

an expression that is a monomial or the sum of monomials.

(a)

190.

An expression where the high degree is 2. Also called a quadratic expression.

(a)

191.

An expression where the high degree is 2. Also called a quadratic expression.

(a)

192.

a polynomial containing three unlike terms. (e.g., x + y - 3 or x² - 2x + 1)

(a)

193.

A + B = B + A

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

194.

A + (B + C) = (A + B) + C

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

195.

A(B + C) = AB + AC

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

196.

A = A

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

197.

If A = B, then B = A.

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

198.

AB = BA

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

199.

(AB)C = A(BC)

a)

Associative Property

b)

Commutative Property

c)

Distributive Property

d)

Reflexive Property

e)

Symmetric Property

200.

1 times x = ?

a)

0

b)

1

c)

x

d)

O Pato

201.

0 times x = ?

a)

0

b)

1

c)

x

d)

O Pato

202.

x divided by x = ?

a)

0

b)

1

c)

x

d)

O Pato

203.

A line that a curve approaches, as it heads towards infinity.

(a)

204.

A polynomial with two terms.

(a)

205.

A special relationship where each input has a single output and all points are connected.

(a)

206.

A special relationship where each input has a single output and the points are not connected, like a scatterplot.

(a)

207.

All the values that go into a function. [inputs]

(a)

208.

The process of reducing an amount by a consistent percentage rate over a period of time.

(a)

209.

The process of increasing an amount by a consistent percentage rate over a period of time.

(a)

210.

A special relationship where the base is a constant and the independent variable is the exponent.

(a)

211.

Lines parallel to the x-axis that the graph of the function approaches as x tends to +∞ or −∞.

(a)

212.

This compares two values, showing if one is less than, greater than, or simply not equal to another value.

(a)

213.

A point at which a function's value is greatest.

(a)

214.

A point at which a function's value is least.

(a)

215.

The simplest form of a given family of functions.

(a)

216.

A second degree expression with a single input and an equal sign.

(a)

217.

Where the highest exponent of the variable (usually "x") is a square (²).

(a)

218.

All the values that come out of a function. [outputs]

(a)

219.

These are equidistant from the axis of symmetry in a quadratic function.

(a)

220.

A polynomial with three terms.

(a)

221.

Points on the graph where y = 0, also know as a zeros or roots.

(a)

222.

Points on the graph where y = 0, also know as a x-intercepts or roots.

(a)

223.

These are points on the graph of a function where x = 0.

(a)

224.

The result of computing a non-perfect square in the calculator.

(a)

225.

A root of the whole number that has an irrational value.
(Ex. The n in $^n\sqrt{ }$ .)

(a)

226.

An equation of degree 2, such as

x^2-2x+1

(a)

227.

The result of simplifying a radical to its lowest form, like

\sqrt{18}=3\sqrt{2}

(a)

228.

A root of the whole number that has an irrational value.
(Ex. The n in $^n\sqrt{ }$ .)

(a)

229.

The result of reducing a number to a product of prime numbers.

(a)

230.

A number is a value that, when multiplied by itself, gives the number.

(a)

231.

An expression that uses a root, such as square root, cube root.

(a)

232.

The value inside a radical.

(a)

233.

An equational where the variable is in the exponent.

(a)

234.

A value that can be expressed as a fraction with integers.

(a)

235.

A first degree equation which forms a straight line.

(a)

236.

a special value that, when used in a multiplication three times, gives that number.

(a)

237.

A fixed vale that does not change.

(a)

238.

A number that has a rational square root.

Like\ \sqrt{25}=5

(a)

239.

The number to the left of a variable,

like the 4 in 4x.

(a)

240.

A number which can only be divided by itself and 1.

(a)

241.

A number which can not be expression as a fraction and has decimal vales that do not repeat or terminate.

(a)

242.

To reduce a value, term or equation to its most basic form.

(a)

243.

What are systems of linear equations?

a)

a set of two or more linear equations in the same variables

b)

a polynomial with three terms

c)

set of two or more linear inequalities in the same variables

244.

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

245.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(2, 0)

246.

When you graph the exact same equation twice,

a)

you will have no solution.

b)

you will have one solution.

c)

you will have infinite solutions.

d)

you will graph a giraffe.

247.

How many solutions will this system have?

a)

No solution

b)

One Solution

c)

I Don't Know

d)

Infinitely Many Solutions

248.

^{What is the solution?}

a)

1

b)

-2

c)

(1, 2)

d)

(1, -1)

Semester Review - Spring 2021

Total questions: 248

Worksheet time: 11hrs 54mins

Similar Resources on Wayground