Free Printable AFDA Review #4

1.

What is the domain of the graph?

*all possible X values (left to right)

a)

-7 ≤ x < 5

b)

-3 ≤ x < 1

c)

-3 ≤ y < 1

d)

-7 ≤ y < 5

2.

What is the range?

*ALL possible Y values (up and down)

a)

-3 < y ≤ 3

b)

-4 ≤ y < 5

c)

-4 ≤ y ≤ 5

d)

-3 < y ≤ 3

3.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

Domain - All possible X values

Range - All possible Y values

a)

D: {1, -3, -4,}

R: {0, 1, 2, -4}

b)

D: {-4, 0, 1, 2}

R:{-4, -3, 1}

c)

D: {0, 1, 2, 3, 4}

R:{1, -3, -4}

d)

D: {0, 1, 2, -4}

R: {1, -3, -4, 1}

4.

Is this a function? Explain.

a)

Yes; it passes the horizontal line test.

b)

No; it is not a straight line.

c)

Yes; it passes the vertical line test.

d)

No; there is a line connecting the dots.

5.

If h(a) = 3 - 2a
Find h(-3).

a)

12

b)

-2

c)

-3

d)

9

6.

Let w(x) = 3x - 7. If w(x) = 14, find x.

a)

7

b)

35

c)

2.33333

d)

-49

7.

What is x if
f(x) = -2?

a)

4

b)

0

c)

3

d)

8

8.

What is f(1)?

a)

1

b)

5

c)

0

d)

4

9.

The function h(t) represents the height in inches of a plant after t weeks. What does the notation h(4) = 5 mean?

a)

After 5 week the plant is 4 inches tall

b)

The plant grows at a rate of 5/4 inch per week

c)

After 4 weeks the plant is 5 inches tall

d)

The plant grows at a rate of 1 inch per week

10.

What is the slope in the equation: y=4x+3

a)

3

b)

4x

c)

4

d)

x

11.

How would you write the equation with a slope of 2/3 and a y-intercept of -3

a)

y=3/2x+3

b)

y=2/3-3

c)

y=2/3x-3

d)

y=2/3x+3

12.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

13.

Find the slope of the line that passes through
(10, 1) and (5, 2)

a)

1/5

b)

-1/5

c)

5

d)

-5

14.

Find the slope of the line that passes through the points (2, 4) and (6, 12)

a)

1/2

b)

-1/2

c)

2

d)

-2

15.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

16.

Simplify the following expression:
-10x + 15 - 3x + 2

a)

13x² + 17

b)

-13x² + 13

c)

-13x + 17

d)

-7x + 17

17.

Simplify the following expression:
-9(14p - 8) - 4p

a)

130p - 72

b)

122p - 72

c)

-130p - 18

d)

-130p + 72

18.

What is the solution?

a)

(6, 3)

b)

(3, 6)

c)

(-6, 3)

d)

No solution

19.

Which of the following is not a solution to this system of inequalities?

a)

(0,-1)

b)

(0,3)

c)

(4,0)

d)

(6,-2)

20.

Match the system to the graph (solution set is on the left)

a)

y ≤ 3x and y ≤ -2x + 4

b)

y > 3x and y > -2x + 4

c)

y < 3x and y > -2x + 3

d)

y > 3x and y < -2x + 4

21.

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

22.

Factor 2x + 18.

a)

2(x + 9)

b)

2(x + 8)

c)

2(2x + 9)

d)

cannot be factored

23.

Factor
x²+ 9x - 36

a)

(x + 12)(x - 3)

b)

(x + 9)(x - 4)

c)

(x - 12)(x + 3)

d)

(x - 9)(x - 4)

24.

Factor
n² + 5n - 6

a)

(n - 2)(n - 3)

b)

(n - 1)(n + 6)

c)

(n + 1)(n - 6)

d)

(n + 2)(n - 3)

25.

Does this graph have a maximum or minimum value?

a)

maximum

b)

minimum

c)

neither

d)

both

26.

What piece of information does c identify in the following equation?
y=ax²+bx+c

a)

Zeroes

b)

Axis of Symmetry

c)

Direction

d)

y-intercept

27.

What direction is the following equation opening?
y=-3x²-7x+8

a)

Up

b)

Down

c)

Left

d)

Right

28.

Use the graph to determine the solutions.

a)

-1 and -3

b)

1 and -3

c)

1 and 3

d)

-1 and 3

29.

Joe Mauer hits a fly ball. You can track the height of the ball using the equation: h(t) = -16t² + 140t + 2
What was the starting
height of the ball?

a)

-16 feet

b)

140 feet

c)

2 feet

d)

0 feet

30.

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

AFDA Review #4

Total questions: 30

Worksheet time: 31mins

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