Free Printable AFDA First Semester Exam Review

1.

Translate: two times the sum of a number and five

a)

2 + y + 5

b)

2y + 5

c)

2(y + 5)

d)

2 - y + 5

2.

Translate: Six fewer than twice a number is four.

a)

6 - 2x = 4

b)

2x - 6 = 4

c)

x² - 6 = 4

d)

6 - x² = 4

3.

Simplify completely.

a)

8√3xy

b)

y√24xy

c)

8y√3xy

d)

8√24x

4.

Simplify:

a)

8x⁹

b)

8x³

c)

8x⁴√x

d)

8x³√x

5.

Simplify the expression:

a)

8√6

b)

6√6

c)

8√5

d)

64√6

6.

Find the cube root.

a)

-5

b)

5

c)

4

d)

-4

7.

What is the solution to the system of equations graphed below?

a)

No Solution

b)

Infinite Solutions

c)

One Solution: (3, 1)

d)

One Solution: (1, 3)

8.

How many solutions does the system of equations below have?

a)

No Solution

b)

Infinite Solutions

c)

One Solution

9.

How many solutions does the system of equations below have?

a)

No Solution

b)

Infinite Solutions

c)

One Solution

10.

A system of equations with one solution will have lines that...

a)

are the same

b)

cross in one place

c)

are parallel and never touch

11.

What is the solution?

a)

No solution

b)

(0, 2)

c)

(0, -4)

d)

(3, -3)

12.

What is the solution to this system?
x - y = 6
y= 2x - 5

a)

(1,3)

b)

(-1,3)

c)

(-1,-7)

d)

(1,-7)

13.

a)

b = 3A - a - c

b)

b = -3A + a - c

c)

b = -3A - a - c

d)

b = 2A - c

14.

Solve:
8x + 4y = 16 , for y

a)

y = -2x + 4

b)

y = 2x - 4

c)

y = 2x + 4

d)

y = -2x - 4

15.

Solve for n:
2m - n = 8

a)

n = 2m - 8

b)

n = -2m - 8

c)

n = 2m + 8

d)

n = -2m + 8

16.

-3 − 6(4x + 6) > -111

a)

x > 3

b)

x < 3

c)

x < -3

d)

x > -3

17.

Solve the inequality

a)

x ≤ 2

b)

x ≤ -2

c)

x ≥ 2

d)

x ≥ -2

18.

Solve the inequality

a)

x ≥ -7

b)

x ≤ -7

c)

x ≤ -15

d)

x ≥ -15

19.

Which system of inequalities matches the graph?

a)

y > 2x - 4
y < 2

b)

y < 2x - 4
y < 2

c)

y > 2x - 4
y < 2

d)

y < 2x - 4
y < -2

20.

Which system of inequality is shown?

a)

y > -1/5x - 1/2
y ≥ -2x - 4

b)

y > -1/5x - 1/2
y ≤ -2x - 4

c)

y ≥ -1/5x - 1/2
y ≤ -2x - 4

d)

y < -1/5x - 1/2
y ≥ -2x - 4

21.

Which system of inequalities matches the graph?

a)

x> -2
y < -4

b)

x< 2
y> 4

c)

x > 2
y < 4

d)

x > 2
y <- 4

22.

Given the system, determine a solution.

a)

No solution

b)

Infinite solutions

c)

(-5, 5)

d)

(5, -5)

23.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

24.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

25.

What is the domain of the graph shown?

a)

{-2, -1, 0, 1, 2, 3, 4}

b)

{2, 3, 4}

c)

2 ≤ y ≤ 4

d)

-2 ≤ x ≤ 4

26.

What is the range of the function?

a)

-7≤x≤6

b)

-7<x<6

c)

-8<y<2

d)

-8≤y≤2

27.

What is the range of the graph?

a)

y ≥ -6

b)

-7 ≤ y ≤ 3

c)

-8 ≤ y ≤ 4

d)

y ≤ -6

e)

All real numbers

28.

What is the zero(s) for f(x) = (x - 5)²?

a)

2 and 5

b)

5

c)

-5

d)

-25

e)

25

29.

What is the zero(s) for the graph shown?

a)

-2

b)

-2 and 4

c)

4

d)

2

30.

Find the zero(s) of the function.

a)

x = {-4, 4}

b)

x = -4

c)

x = 4

d)

x = 0

31.

Find the solution(s) of the function.

a)

x = {-3, 5}

b)

x = {3, 5}

c)

x = {-3, -5}

d)

x = {3, -5}

32.

Which of the following equations has 4 as a zero for the function?

a)

y = 4

b)

y = 4x

c)

y = (x + 1)(x - 4)

d)

y = (x + 4)(x + 1)

33.

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

a)

4, -1

b)

3, -2

c)

-6, 1

d)

2, -3

34.

f(x)=x²-5x
f(4)=

a)

-4

b)

126

c)

24

d)

84

35.

Evaluate the function for the given value:

a)

-5

b)

63

c)

450

d)

5

36.

Find the equation of the line that passes through the points:
(-4, -2) and (-3, 5)

a)

y = ¹/₇ x + 26

b)

y = 7x + 26

c)

y = -7x + 26

d)

y = -7x - 26

37.

Find the equation of the line that passes through the points:

(3, 4) and (0, -5)

a)

y = 3x + 5

b)

y = -3x + 4

c)

y = -3x + 4

d)

y = 3x - 5

38.

What type of slope does the graph have?

a)

Zero

b)

Undefined

c)

Negative

d)

Positive

39.

Which line has a slope of zero?

a)

3x + 4y = 0

b)

y = 6

c)

x - y = 0

d)

x = 2

40.

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

41.

What is the vertical shift of this equation?
f(x) = -(x + 3)² - 5

a)

left 5

b)

right 5

c)

up 5

d)

down 5

42.

Match the description to its equation.
Moves right 7

a)

A

b)

B

c)

C

d)

D

43.

a)

2a²b⁶

b)

1/2a²b⁶

c)

b⁶/2a²

d)

2b⁶/a²

44.

Multiply.
(4x)(3x³)(x³)

a)

7x⁹

b)

12x¹⁰

c)

12x⁷

d)

7x⁷

45.

$\left(7v^3\right)\left(10u^3v^5\right)$

a)

70u³v⁶

b)

17u³v⁸

c)

70u³v⁸

d)

none of the above

46.

(3x+7) (3x+7)

a)

$9x^2-49$

b)

$3x^2-14$

c)

$9x^{ }-49$

d)

$4x^2-20x-49$

47.

Is it a function?

a)

It IS a function.

b)

It IS NOT a function

48.

Which graph is NOT a function?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

49.

Which set of equations would you use to solve the following:

In a jar there are nickles and dimes. The 60 coins have a total value of $8.65 How many nickels are there

a)

D + N = 8.65

.10 D + .05 N = 8.65

b)

D + N = 60

.10 N + .05 D = 8.65

c)

D + N = 8.65

.10 D + .05 N = 60

d)

D + N = 60

.10 D + .05 N = 8.65

50.

Which point is a solution?

a)

(0, 6)

b)

(-3, 4)

c)

(1, 0)

d)

(-4, 3)

51.

Which function is increasing throughout the interval: 2 < x < $\infty$

a)

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

b)

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

c)

$f\left(x\right)\ =\ -\left|x-\right|\ +\ 3$

d)

y = 2

52.

Factor completely: x²+16x+64

a)

(x+4)(x+16)

b)

(x-8)(x-8)

c)

(x+2)(x+32)

d)

(x+8)(x+8)

53.

Factor:
x²+ 7x - 30

a)

(x + 10)(x - 7)

b)

(x - 10)(x + 3)

c)

(x + 10)(x + 3)

d)

(x + 10)(x - 3)

54.

What are the solutions to this equation:

(x-a) (y+b) = 0

a)

(-a, b)

b)

(a, -b)

c)

(-a, -b)

d)

(a, b)

55.

Which statement makes this solution true: $x^2-225$

a)

There are no solution

b)

There is only one solution, -15

c)

There are two solution, -15 and 15

d)

There are infinite solutions

56.

find line of best fit through these points

(1,3) (2,4) (5,8)

a)

y=1.27x+1.615

b)

y=2x+7

c)

y=1.7x+8

57.

What is the line of best fit?

a)

y= 5x+1.82

b)

cannot be determined

c)

y= 1.82x + 5.02

d)

y= 1.1x + 4.2

58.

Which represents a direct variation function?

a)

$y=\frac{x}{3}$

b)

$y=x^2$

c)

y=3x-1

d)

$y=\frac{3}{x}$

59.

What is the value of the expression $2\ c^2d\ +\sqrt{b}\$ if b =16, c =2 and d = 7?

a)

200

b)

60

c)

1026.6

d)

67.4

AFDA First Semester Exam Review

Total questions: 59

Worksheet time: 4hrs 47mins

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