1.

Add.

(-9 + 3n⁶ + 3n⁵) + (2n⁶ + 5n⁵ + 6)

A) 5n⁶ + 8n⁵ - 3
B) 10n¹¹
C) 5 + 8n⁶ - 3n⁵
D) -7n⁶ + 8n⁵ + 9

2.

Subtract.

(8n⁷ + 2n⁶ + 17) - (5n⁶ + 5n⁷ + 15)

A) 3n⁷ - 3n⁶ + 32
B) 3n⁷ + 7n⁶ + 32
C) 2n¹³
D) 3n⁷ - 3n⁶ + 2

3.

Multiply.

4(5x)

A) 20
B) 20x
C) 9x
D) 9

4.

Multiply.

-8x²(-10x⁴ + 9x³)

A) 8x²
B) 8x⁶ + 8x⁵
C) 80x⁶ - 72x⁵
D) 80x⁶ + 9x³

5.

Factor.

y² - 64

A) (y + 64)(y - 64)
B) (y + 8)(y - 8)
C) (y² + 8)(y² - 8)
D) (y - 8)(y - 8)

6.

Solve and check the linear equation.

9x - (7x - 1) = 2

A)
B)
C)
D)

7.

Solve and check the linear equation.

6[-6x + 6 + 4(x + 1)] = 6x + 2

A)  
B)
C)  
D)  

8.

Solve and check the linear equation.

0.40x - 0.20(50 + x) = -0.04(50)

A) {50}
B) {30}
C) {40}
D) {20}

9.

Solve the equation by factoring.

x² = x + 6

A) {-2, -3}
B) {1, 6}
C) {-2, 3}
D) {2, 3}

10.

Solve the equation by factoring.

3x(x - 5) = 7x² - 16x

A)
B) {0}
C) {0, 4}
D)

11.

Determine whether the relation is a function.

{(-5, -4), (-2, 9), (-1, -2), (-1, 7)}

A) Function
B) Not a function

12.

Determine whether the equation defines y as a function of x.

x + y = 9

A) y is a function of x
B) y is not a function of x

13.

Evaluate the function at the given value of the independent variable and simplify.

f(x) = x² - 1; f(x - 2)

A) x² + 4
B) x² - 4x + 3
C) x² - 3
D) x² - 4x + 4

14.

Find the slope of the line that goes through the given points.

(-1, 4), (5, 4)

A)
B) 0
C) 2
D) Undefined

15.

Find the slope of the line that goes through the given points.

(-3, -7), (9, -7)

A) 0
B) 1
C) -4
D) 4

16.

Determine whether the given quadratic function has a minimum value or maximum value. Then find the coordinates of the minimum or maximum point.

f(x) = -x² - 2x - 6

A) minimum; 
B) minimum; 
C) maximum; 
D) maximum; 

17.

Find the degree of the polynomial function.

g(x) = -7x³ + 9

A) 0
B) -7
C) 3
D) 4

18.

Find the zeros of the polynomial function.

f(x) = x³ + x² - 42x

A) x = - 7, x = 6
B) x = 0, x = 5, x = 6
C) x = 5, x = 6
D) x = 0, x = - 7, x = 6

19.

Find the zeros of the polynomial function.

f(x) = x³ + 4x² - 9x - 36

A) x = -3, x = 3
B) x = 4, x = -3, x = 3
C) x = -4, x = 9
D) x = -4, x = -3, x = 3

20.

Find the vertical asymptotes, if any, of the graph of the rational function.

g(x) = 

A) x = 4, x = -4
B) x = 4
C) x = 4, x = -4, x = 0
D) no vertical asymptote

21.

Simplify.

log₆ 

A) -2
B) 2
C) -6
D) 6

22.

Simplify.

log₂ 2⁵

A) 10
B) 32
C) 5
D) 2

23.

Simplify.

9^log₉⁽⁷⁾

A) 1
B) 9⁷
C) 7
D) 9

24.

Convert to an exponential equation.

log₉  = -2

A) 9⁸¹ = 2
B) 9^-2 =  
C) ² = 9
D) 2⁹ =  

25.

Write in logarithmic form.

4³ = 64

A) 4 = log ₃ 64
B) 64 = log ₄ 3
C) 3 = log ₆₄ 4
D) 3 = log ₄ 64

 

Simplify.
log₂ 

A) 1
B) 2
C) -1
D) 0

Simplify.
log₆ 

A) -2
B) 2
C) -6
D) 6

Simplify.
log₉ 

A) 81
B) -81
C) -3
D) 3

Simplify.
log₈ 32

A)
B)
C)
D)

Simplify.
log₁₀ 10

A) 0
B) 3
C) 1
D) -3

Simplify.
log₂ 2⁵

A) 10
B) 32
C) 5
D) 2

Simplify.
log₆ 216

A) 6
B) 18
C) 216
D) 3

Simplify.
log₅ 5⁷

A) 1
B) 7
C) 5⁷
D) 7log₅5

Simplify.
9^log₉⁽⁷⁾

A) 1
B) 9⁷
C) 7
D) 9

Simplify.
10^{log 5}

A) 50
B) 10⁵
C) 1
D) 5

Convert to an exponential equation.
log₇ 343 = 3

A) 3⁷ = 343
B) 7³⁴³ = 3
C) 7³ = 343
D) 343³ = 7

Convert to an exponential equation.
log₉  = -2

A) 9⁸¹ = 2
B) 9^-2 =  
C) ² = 9
D) 2⁹ =  

Convert to an exponential equation.
log₅ 1 = 0

A) 0⁵ = 1
B) 1 = 5
C) 5¹ = 0
D) 5 = 1

Convert to an exponential equation.
log_wQ = 7

A) 7^w = Q
B) Q⁷ = w
C) w⁷ = Q
D) Q^w = 7

Write in logarithmic form.
6³ = 216

A) 216 = log ₆ 3
B) 3 = log ₆ 216
C) 3 = log ₂₁₆ 6
D) 6 = log ₃ 216

Write in logarithmic form.
4³ = 64

A) 4 = log ₃ 64
B) 64 = log ₄ 3
C) 3 = log ₆₄ 4
D) 3 = log ₄ 64

Write in logarithmic form.
5^-3 = 

A)  = log ₅ -3
B) -3 = log ₁₂₅ 5
C) 5 = log ₃ 
D) -3 = log ₅ 

Write in logarithmic form.
125^1/3 = 5

A)  = log₁₂₅5
B) 5 = log₁₂₅
C)  = log₅125
D) 5 = log_1/3125

Write in logarithmic form.
e⁷ = 1097

A) e = log₇1097
B) 1097 = log₇e
C) 7 = log_e1097
D) 1097 = log_e7

Write in logarithmic form.
y^z = 5

A) y = log ₉ z
B) z = log _y 5
C) y = log _z 5
D) z = log ₉ y