Free Printable Algebra 2 Second Semester Exam Review

1.

Which function represents the given graph?

a)

b)

c)

d)

2.

a)

x = 49

b)

x = 53

c)

x = 45

d)

x = 18

3.

Is (x-2) a factor of f(x)= x³-8x²+14x-4?

a)

Yes, (x-2) is a factor. There is a remainder.

b)

No, (x-2) is not a factor. The remainder is zero.

c)

Yes, (x-2) is a factor. The remainder is zero.

d)

No, (x-2) is not a factor. There is a remainder.

4.

a)

2x³ + 3x + (7/x-4)

b)

2x² + 3x + 8 + (7/x-4)

c)

2x² + 3x + 8

d)

2x² - x + 10 + (6/x-4)

5.

Describe the end behavior of the graph.

a)

x → ∞, y→ ∞ and x→∞, y→⁻∞

b)

x → ∞, y→ ∞ and x→⁻∞, y→∞

c)

x → ∞, y→ ∞ and x→⁻∞, y→ 0

d)

x → ∞,y→ ∞and x→ ⁻∞, y→ ⁻∞

6.

Write in exponential form.
log₂32 = 5

a)

2^-5 = 32

b)

2³² = 5

c)

2⁵ = 32

d)

32⁵ = 2

7.

Which of the following equations represents a horizontal stretch of the square root parent function?

a)

$y=2\sqrt{x}$

b)

$y=\sqrt{x+2}$

c)

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

d)

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

8.

If

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

is transformed into the graph of

h\left(x\right)=\left(x-6\right)^3-4

which of the following describes the transformation?

a)

f(x) is vertically stretched by a factor of 4 units to create the graph of h(x)

b)

f(x) is translated 4 units to the left and 6 units down to create the graph of h(x)

c)

f(x) is horizontally stretched by a factor of 6 units to create the graph of h(x)

d)

f(x) is translated 6 units to the right and 4 units down to create the graph of h(x)

9.

Which of the following best represents the equation of a parabola that has an axis of symmetry of x = -1, y-intercept at (0,0), and passes through the point (-4,-16)?

a)

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

b)

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

c)

$y=-\frac{1}{2}\left(x+1\right)^2+2$

d)

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

10.

Write the given equation in exponential form.

a)

b)

c)

d)

11.

log₂(x + 5) = 3

a)

3

b)

4

c)

5

d)

6

12.

9k² = 225

a)

4

b)

4, -4

c)

25, -25

d)

-5, 5

13.

Solve the following quadratic equation...

x² + 7x + 12 = 0

a)

x = -2

x = -6

b)

x = -3

x = -4

c)

x = -1

x = -12

d)

x = 2

x = 6

14.

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

15.

Determine the type of exponential function that is represented.

y=\frac{4}{3}\left(\frac{2}{5}\right)^x

a)

Exponential Growth Function

b)

Exponential Decay Function

c)

Neither

16.

$\ln7\sqrt{x}y$

Expand the function.

a)

$\ln7+\frac{1}{2}\ln x+\ln y$

b)

$\ln7y+\ln x^{\frac{1}{2}}$

c)

$\ln7y+\frac{1}{2}\ln x$

d)

$\ln7+\ln x^{\frac{1}{2}}+\ln y$

17.

$8\log x+\log4$

Condense the expression.

a)

$\log4x^8$

b)

$\log x^8+\log4$

c)

$\log\left(4x\right)^8$

d)

$8\log4x$

18.

$5^{x-2}=25$

Solve.

a)

$x=4$

b)

$x=5$

c)

$x=3$

d)

$x=0$

19.

Solve.
$\log_4\left(3x+5\right)=\log_4\left(4x-9\right)$

a)

$x=14$

b)

$x=2.777$

c)

$x=3$

d)

$x=18$

20.

Solve.
$\frac{2}{x}+\frac{1}{2}=\frac{4}{x}$

a)

$x=4$

b)

$x=-4$

c)

$x=1$

d)

$x=0$

21.

What is the y-intercept of the function: $f\left(x\right)=2\left(4\right)^x$ ?

a)

2

b)

4

c)

$\left(4\right)^x$

d)

8

22.

What is the Growth/Decay factor of the function: $f\left(x\right)=2\left(4\right)^x$ ?

a)

2

b)

8

c)

4

d)

x

23.

What is the Growth/Decay factor of the function: $f\left(x\right)=3\left(\frac{1}{2}\right)^x$ ?

a)

3

b)

$\frac{1}{2}$

c)

$\left(\frac{1}{2}\right)^x$

d)

$\frac{3}{2}$

24.

For an exponential function that starts at 400 and decays at 20% per year, what function models this behavior?

a)

$y=400\left(1.20\right)^x$

b)

$y=400\left(0.20\right)^x$

c)

$y=400\left(0.8\right)^x$

d)

$y=400\left(-0.20\right)^x$

25.

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

a)

y = 15(35)^x

b)

y = 15(1.35)^x

c)

y = 15(0.35)^x

d)

y = 35(1.15)^x

26.

The expression 12(1.015)^t models the population of elephants in a wildlife refuge after t years since 1975.
Is the population of elephants increasing or decreasing?

a)

Increasing

b)

Decreasing

27.

The value of a car purchased for $20,000 decreases at a rate of 12% per year. What will be the value of the car after 3 years?

a)

$12,800.00

b)

$13,629.44

c)

$17,600.00

d)

$28,098.56

28.

What is the correct transformed equation for the graph?

a)

y = log(x - 4)

b)

y = log(x) - 4

c)

y = log(x + 4)

d)

y = log(x) + 4

29.

Logarithmic functions are the inverse of...

a)

Linear Functions

b)

Exponential Functions

c)

Quadratic Functions

d)

Polynomial Functions

30.

What is the equation of the asymptote on the graph of $y=\log_5\left(x+3\right)+5$ ?

a)

x = -3

b)

x=5

c)

y= -3

d)

y=5

31.

Which of the following has a vertical asymptote at $x=4$

a)

$y=2^x-4$

b)

$y=\log_2\left(x-4\right)$

c)

$y=2^x+4$

d)

$y=\log_2\left(x+4\right)$

32.

What is the transformation of the logarithmic function
$f\left(x\right)=\log\ \left(x+3\right)-1$

a)

left 3, right 1

b)

right 3, down 1

c)

right 3, up 1

d)

left 3, down 1

33.

What is the vertex of this function?

a)

(-3, -4)

b)

(-4, -3)

c)

(0, 5)

d)

(-5, 0)

34.

What is the y-intercept of this function?

a)

(5, 0)

b)

(-4, -3)

c)

(0, 5)

d)

(-5, 0)

35.

What are the zeros for the function
f(x) = (x + 7)(x + 5)

a)

(7 , 0) and (5 , 0)

b)

(0 , 7) and (0 , 5)

c)

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

d)

(7 , 0) and (5 , 0)

36.

What is the vertex of
f(x) = 2(x - 5)² + 12

a)

(-5, -12)

b)

(5,-12)

c)

(5, 12)

d)

(-5, 12)

37.

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

a)

Standard

b)

Vertex

c)

Factored

d)

Linear

38.

What is the y-intercept of
f(x)=2x² + 4x + 6

a)

(6 , 0)

b)

(-6 , 0)

c)

(0, -6)

d)

(0 , 6)

39.

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

a)

Factored

b)

Standard

c)

Vertex

d)

Descending Polynomial

40.

What form of a quadratic is given?

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

a)

Vertex Form

b)

Standard Form

c)

Root Form

41.

Find the equation for a parabola that has a vertex at (3, 4) and goes through the point (2, 2).

a)

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

b)

$y=-\frac{2}{25}\left(x+3\right)^2+4$

c)

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

d)

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

42.

Given the equation

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

, determine the roots (zeros) for this parabola.

Select all that apply.

a)

x = -6

b)

x = -4

c)

x = 2

d)

x = 4

e)

x = 6

43.

What is a quadratic function in factored (intercept) form with x-intercepts of 5 and -2

a)

f(x) = x² + 3x -10

b)

f(x) = (x + 5)(x - 2)

c)

f(x) = (x - 5)(x + 2)

d)

f(x) = (x + 1.5)² - 12.25

44.

Factor:
3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

45.

Find the factors of x²-81

a)

(x-9)(x+9)

b)

(x+9)(x+9)

c)

(x-9)(x-9)

d)

Can't be factored

46.

What are the factors of x²-8x-48

a)

(x-12)(x+4)

b)

(x+12)(x-4)

c)

(x+12)(x+4)

d)

(x-12)(x-4)

47.

What are the factors of x²+3x-40

a)

(x+10)(x-4)

b)

(x+8)(x-5)

c)

(x+20)(x-2)

d)

(x+1)(x-3)

48.

What are the factors of 3x²-17x+10

a)

(x-5)(3x-2)

b)

(x+5)(3x+2)

c)

(3x-5)(x-2)

d)

(x+5)(3x-2)

49.

Use the Zero Product Property to solve for the values of x.

$\left(x+2\right)\left(x-3\right)=0$

a)

2 and 3

b)

-2 and -3

c)

2 and -3

d)

-2 and 3

50.

Solve using the Zero Product Property:
$\left(3x+2\right)\left(x+1\right)=0$

a)

$x=1,\ x=\frac{2}{3}$

b)

$x=-1,\ \ x=-\frac{2}{3}$

c)

$x=2,\ x=1$

d)

$x=-1,\ \ x=\frac{2}{3}$

51.

Find the last term:

x^2+22x+c

a)

22

b)

11

c)

121

d)

44

52.

Find the last term:

x^2-8x+c

a)

8

b)

4

c)

-16

d)

16

53.

What is the first step to solving THIS equation by completing the square?
a² + 10a + 21 = 0

a)

Set the equation equal to zero

b)

Divide 10 by 2 and add the result to both sides

c)

Add a² and 10a together

d)

Subtract the 21

54.

What do you do to the b value to correctly complete the square?

a)

square it

b)

divide it by 2 and square the result

c)

divide it by 2 and take the square root of the result

d)

divide it by 2 only

55.

What is one of the solutions to this equation?
(2x - 1)² = 49

a)

7

b)

-7

c)

-4

d)

-3

56.

Write the following quadratic expression in completed square form...

x² + 4x + 10

a)

(x + 4)² + 6

b)

(x + 2)² + 6

c)

(x + 4)² - 6

d)

(x + 2)² - 6

57.

Solve the following quadratics equation by completing the square...

x² + 6x - 3 = 0

a)

$-3\pm2\sqrt{3}$

b)

$3\pm2\sqrt{3}$

c)

$12\pm\sqrt{3}$

d)

$-12\pm\sqrt{3}$

58.

Change the following equation to standard form
x²+y²-4x+12y-8=0

a)

(x+2)²+(y-6)²=48

b)

(x-2)²+(y+6)²=48

c)

(x-6)²+(y-2)²=48

d)

(x+2)²+(y-6)²=48

59.

What is the center for the circle with this equation x²+y²+4x+6y-36=0?

a)

(-2,5)

b)

(2,7)

c)

(-2,-3)

60.

In the equation
y = x² +5x +7, match each leading coefficient with its correct letter

a)

a=0, b=5, c=7

b)

a=1, b=5, c=7

c)

a=7, b=5, c=1

61.

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.

62.

Solve Using the Quadratic Formula
2x² + 7x - 15 = 0

a)

-1.5 or 5

b)

No Solution

c)

-5 or 1.5

d)

0.7 or 5

63.

Use the quadratic formula to find the solutions for
y = 3x³ + 8x - 1

a)

0.1196 and -2.7863

b)

.7 and -16.7

c)

.35 and -8.35

d)

0.2358 and -1.236

64.

a)

10

b)

-10

c)

10i

d)

-10i

65.

a)

5i

b)

-5i

c)

5+i

d)

-5

66.

What is the complex conjugate of 4-3i?

a)

A. 1/(4-3i)

b)

B. 1/(4+3i)

c)

C. -4 + 3i

d)

D. 4 + 3i

67.

Simplify:
i⁷

a)

i

b)

-i

c)

1

d)

-1

68.

Solve
3x² - 5 = -446

a)

±√-147

b)

7i√3

c)

±7i√3

d)

-7√3

69.

Simplify:
√-108

a)

3i√6

b)

3i√20

c)

6i√3

d)

20i√3

70.

(5-2i) + (-7+8i)

a)

-2+6i

b)

12+6i

c)

-35-16i²

d)

-35 -16i

71.

(3i)(-2+4i)

a)

-6+12i

b)

-12-6i

c)

-2+7i

d)

12+6i

72.

Multiply:
(4 – 3i)(-7 – 2i)

a)

A. -23 + 13i

b)

B. -23 - 29i

c)

C. -34 + 13i

d)

D. -34 - 29i

73.

The discriminant is

a)

aX² + bX + c

b)

b - 4ac

c)

b² - 4ac

d)

b² + 4ac

74.

For the function below, is the discriminant positive, negative, or zero?

___________

y = x² + 4x + 4

a)

Positive

b)

Negative

c)

Zero

d)

Not Sure

75.

Classify by number of terms:
3x³ – 6x

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

76.

How many terms are in this polynomial?

2x³- 8x²+ 3x - 7

a)

7

b)

1

c)

4

d)

2

77.

What is the degree of this polynomial?

2x⁴- 3x⁵+ x

a)

-3

b)

2

c)

4

d)

5

78.

Classify by number of terms:

5x² – 6x + 3

a)

Monomial

b)

Binomial

c)

Trinomial

d)

4-Term Polynomial

79.

Classify:
2n³

a)

Monomial

b)

Binomial

c)

Trinomial

d)

Polynomial

80.

What is ascending order?

a)

Small to big

b)

Big to small

c)

Small to small

d)

Big to big

81.

What is descending order?

a)

Big to small

b)

Small to big

c)

Big to big

d)

Small to small

82.

If we have the equation y=ax²+bx+c, how can we can find the x-coordinate of the vertex?

a)

-a

b)

-b/a

c)

b/2a

d)

-b/2a

83.

The graph of a quadratic function is called a

a)

Parabola

b)

Vertex

c)

Axis of Symmetry

d)

Vertex Form

84.

Based on the end behavior of the polynomial, what best describes the leading coefficient?

a)

a negative real number

b)

a positive real number

c)

an even real number

d)

an odd real number

85.

Based on the end behavior which option best describes the leading term?

a)

negative coefficient, even degree

b)

negative coefficient, odd degree

c)

negative degree, odd coefficient

d)

negative degree, even coefficient

86.

The degree of the polynomial determines the number of roots.

a)

True

b)

False

87.

What is the predicted end behavior of: y=-2x⁴+3x-1

a)

up on both ends

b)

down on both ends

c)

up on left, down on right

d)

down on left, up on right

88.

Determine the end behavior of the polynomial by identifying the degree and leading coefficient.

f(x) = 5x⁴ - x + 6

a)

UP-UP

b)

UP-DOWN

c)

DOWN-UP

d)

DOWN-DOWN

89.

The degree and the sign of the leading coefficient (positive or negative) of a polynomial determines the behavior of the ends for the graph.
Enter the polynomial function into a graphing calculator or online graphing tool to determine the end behavior.
f(x) = 2x³ - x + 5

a)

Left up Right up

b)

Left up Right down

c)

Left down Right up

d)

Left down Right down

90.

What can we expect the end behavior to be on the graph of the function: $f\left(x\right)=2x^3-x+5$

a)

Rises on the left and right

b)

Rises on left, falls on right

c)

Falls on the left, rises on the right

d)

Falls on the left and right

91.

What are the roots of the polynomial function?
y = (x + 2)(x - 7)³

a)

-2, 7 multiplicity 3

b)

-2, 7, 3

c)

2, -7 multiplicity 3

d)

2, -7, 3

92.

What is the multiplicity of the zero x=1 for the function $f\left(x\right)=x^2\left(x-1\right)^4\left(x+5\right)$ ?

a)

2

b)

1

c)

4

d)

3

93.

A polynomial function has zeros at -1,2, and 7 (all multiplicity of 1). Write a function rule that could represent this function.

a)

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

b)

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

c)

$f\left(x\right)=\left(x+1\right)^2\left(x-2\right)^2\left(x-7\right)^2$

d)

$f\left(x\right)=\left(x-1\right)^2\left(x+2\right)^2\left(x+7\right)^2$

94.

Simplify the expression
7u²v⁵ (9uv³)

a)

16u²v⁸

b)

63u³v¹⁵

c)

63uv⁸

d)

63u³v⁸

95.

Determine the product of (3c)(10c)

a)

13c²

b)

30c

c)

30c²

d)

13c

96.

2x³ - 5x² + 3x + 7 ÷ x - 2

a)

2x³ - x² + x + 9

b)

2x² - x + 1

c)

2x² - x + 1 + 9/(x - 2)

d)

2x² - 9x - 15 - 23/(x - 2)

97.

The area of a rectangular pool table is: x² + 14x +40.

The length is x + 4. What is the width?

a)

x + 8

b)

x + 14

c)

x + 10

d)

x +4

98.

Decide if (x - 3) is a factor of 3x³+ 10x²- x - 12.

a)

Yes, it is a factor

b)

No, it is not a factor

99.

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

100.

(5x+2y)(x²-3xy+6)

a)

5x³- 17x²y - 6xy²-30x +12y²

b)

5x³+ 17x²y -6xy² - 30x +12y²

c)

5x³ - 13x²y -6xy² - 30x +12y²

d)

5x³ +13x²y - 6xy - 30x + 12y²

101.

Factor
3v² - 4v - 7

a)

(3v-7)(v+1)

b)

3(v-7)(v-1)

c)

(3v+1)(v-9)

d)

(3v+1)(v-10)

102.

Factor
n²-13n+40

a)

(n-5)(n-8)

b)

(n+5)(n-8)

c)

(n-5)(n+8)

d)

(n+6)(n+1)

103.

Factor

2x⁴ - 13x² - 70

a)

(2x+7)(x-10)

b)

(7x+5)(x+2)

c)

(2x²+7)(x²-10)

d)

2(x²+7)(x²+10)

104.

A rational function must have an input variable in the denominator of a fraction.

a)

true

b)

false

105.

Which of the following functions is a rational function?

a)

$y=7-\frac{1}{x^2}$

b)

$y=4x^3+2x^2-3$

c)

$y=6\sqrt{x+3}-6$

d)

$y=\frac{4x}{7}+1$

106.

What is the vertical asymptote of the function f? $f\left(x\right)=\frac{1}{x-2}+3$

a)

x = -2

b)

x = 2

c)

x = 3

d)

y = 3

107.

What is the horizontal asymptote of the function g? $g\left(x\right)\ =\ \frac{1}{x+7}-4$

a)

x = -7

b)

y = 4

c)

y = -4

d)

y = -7

108.

What value is excluded from the domain of the function f? $f\left(x\right)\ =\ \frac{1}{x-3}+2$

a)

3

b)

-3

c)

2

d)

-2

109.

What value is excluded from the range of the function g? $g\left(x\right)=\frac{1}{x+9}-7$

a)

9

b)

-9

c)

7

d)

-7

110.

Describe the transformation from the rational parent function to function f: $f\left(x\right)=\frac{1}{x+2}-1$

a)

shift up 1, right 2

b)

shift down 1, left 2

c)

shift up 1, left 2

d)

shift down 1, right 2

111.

Describe the transformation from the rational parent function to the function g (check all boxes that apply): $g\left(x\right)=\frac{2}{x-3}+5$

a)

shift up 5

b)

shift right 3

c)

shift left 3

d)

vertical stretch by a factor of 2

e)

vertical reflection

112.

What are the asymptotes?

a)

x = -3 y = 1

b)

x = 3 y = 1

c)

x = -3 y = -1

d)

x = 3 y = -1

113.

What are the Vertical Asymptotes of...

a)

x = 0, -5

b)

x=0, 5

c)

x = 2, -7

d)

x = -2, 7

114.

What is the Horizontal Asymptote?

a)

None

b)

y= 0

c)

y= 1

d)

y= 5/4

115.

What is the hole?

a)

x= 4

b)

x= -4

c)

x= 5

d)

x= -5

116.

What is the Vertical Asymptotes?

a)

x= -5

b)

x= 5

c)

x= 6

d)

x= -6

117.

Find the horizontal asymptote.

a)

None

b)

y = 0

c)

y = -1/3

d)

y = -3

118.

Which asymptote(s) are determined by looking at the denominator?

a)

vertical

b)

horizontal

c)

slant

d)

none

119.

Determine whether the graph of the function has a vertical asymptote or a removeable discontinuity at x = -1.

a)

Vertical Asymptote

b)

Discontinuity

c)

Hump Day

d)

Infinite

120.

What is/are the x-intercepts of this graph?

a)

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

b)

(-2,0)

c)

(3,0)

d)

(2,0) and (3,0

121.

Which function has a maximum at (2, 0)?

a)

b)

c)

d)

122.

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

123.

What is the equation of the axis of symmetry?

a)

y = 0

b)

x = 0

c)

x = 3

d)

x = -3

124.

Define Axis Of Symmetry

a)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

b)

Where the parabola touches or intersects the x-axis, also called the x-intercept

c)

The highest y-value on the graph

d)

The highest or lowest point on the graph

125.

Define Y-intercept

a)

Where the parabola touches or intersects the x-axis, also called the x-intercept

b)

The lowest y-value on the graph

c)

The highest y-value on the graph

d)

Where the parabola touches or intersects the y-axis

126.

Define X-intercept

a)

The highest or lowest point on the graph

b)

Where the parabola touches or intersects the x-axis

c)

Where the parabola touches or intersects the y-axis

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

127.

Define Vertex

a)

Where the parabola touches or intersects the x-axis

b)

The highest or lowest point on the graph

c)

Where parabola line touches or intersects the x- axis, also called the x-intercept

d)

A line that divides the graph into two equal parts. i.e. cuts the graph in half

128.

$\frac{4}{x+3}+\frac{7}{x+3}$

a)

$\frac{11}{x+3}$

b)

$\frac{11}{2x+6}$

c)

$\frac{28}{x^2+6x+9}$

d)

$\frac{11}{x^2+9}$

129.

$\frac{13}{2x-5}-\frac{5}{2x-5}$

a)

$\frac{18}{2x-5}$

b)

$\frac{8}{2x-5}$

c)

$\frac{65}{4x^2-20x+25}$

d)

$\frac{7}{4x-10}$

130.

$\frac{10}{x-1}+\frac{7}{x+3}$

a)

$\frac{3}{\left(x+3\right)\left(x-1\right)}$

b)

$\frac{17x+23}{\left(x+3\right)\left(x-1\right)}$

c)

$\frac{17x-4}{\left(x+3\right)\left(x-1\right)}$

d)

$\frac{70}{\left(x+3\right)\left(x-1\right)}$

131.

$\frac{x}{x+8}-\frac{3x}{x+2}$

a)

$\frac{-2x}{\left(x+2\right)\left(x+8\right)}$

b)

$\frac{-2x\left(x+11\right)}{\left(x+2\right)\left(x+8\right)}$

c)

$\frac{-3x^2}{\left(x+2\right)\left(x+8\right)}$

d)

$\frac{2x\left(2x+13\right)}{\left(x+2\right)\left(x+8\right)}$

132.

$\frac{3}{2x}-\frac{5}{9}$

a)

$\frac{-2}{2x-9}$

b)

$\frac{-10x+27}{18x}$

c)

$\frac{4}{9x}$

d)

$\frac{2}{7x}$

133.

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

a)

$\frac{9x+6}{3x\left(x+2\right)}$

b)

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

c)

$\frac{x+4}{3x\left(x+2\right)}$

d)

$\frac{x^2+2x+2}{x\left(x+2\right)}$

134.

$\frac{3x-2}{x+2}+\frac{2x}{4x-1}$

a)

$\frac{14x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}$

b)

$\frac{14x^2-9x-2}{\left(x+2\right)\left(4x-1\right)}\$

c)

$\frac{12x^2-7x+2}{\left(x+2\right)\left(4x-1\right)}\$

d)

$\frac{5x-2}{\left(x+2\right)\left(4x-1\right)}$

135.

Multiply and Simplify

a)

4(x+3)/(x+2),

b)

(x+2)/4(x+1)

c)

(x+2)/4(x+3),

d)

4(x+1)/(x+2),

136.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

137.

Divide the Rational Expression

a)

A

b)

B

c)

C

d)

D

138.

Multiply the Rational Expression

a)

A.

b)

B.

c)

C.

d)

D.

139.

Multiply the Rational Expression

a)

A

b)

B

c)

C

d)

D

140.

Solve!

a)

x = 2

b)

x = 6

c)

x = 4

d)

x = 8

141.

Solve for x.

a)

2

b)

18/5

c)

26/5

d)

6

142.

Solve the equation for x.

a)

6

b)

12

c)

0

d)

3

143.

Solve

a)

x = 0 , 4

b)

x = 1 , 3

c)

x = -4 , 0

d)

x = 5 , 2

144.

Solve!

a)

x = 5

b)

x = 4

c)

x = 5.5

d)

x = -4

145.

Solve :

a)

x = 6

b)

x = -6

c)

x = 6/7

d)

x = -6/7

146.

Solve for x

a)

1/3

b)

-5.5

c)

5.5

d)

2.5

147.

Solve: $\frac{3}{x-5}-\frac{20}{x^2-25}=\frac{2}{x+5}$

a)

$x=-5$

b)

$x=5$

c)

$\frac{5}{\left(x+5\right)\left(x-5\right)}$

d)

No Solution

148.

Solve for x: $x-8=-\frac{15}{x}$

a)

x = 5, x = 3

b)

x = −5, x = −3

c)

x = 5

d)

x = −3

149.

Solve for x: $\frac{1}{x}=\frac{1}{5x}-\frac{x-1}{5x}$

a)

x = 5

b)

x = -3

c)

x = 3

d)

x = -5

150.

Solve for x: $\frac{6x+18}{x^2}+\frac{1}{x}=\frac{3}{x}$

a)

x = 4.5

b)

x = -4.5

c)

x = 3

d)

x = -3

Algebra 2 Second Semester Exam Review

Total questions: 150

Worksheet time: 7hrs 10mins

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