Free Printable Unit 3 Study Guide

1.

What is happening in the graph between 30 and 40 minutes?

a)

Sarah is accelerating

b)

Sarah is not moving

c)

Sarah is slowing down

d)

Sarah is travelling at a constant speed

2.

What is happening in this graph from point B to C? HINT: Look at the axis labels.

a)

The object is moving faster.

b)

The object is not moving.

c)

The object is slowing down.

d)

The object is moving at a constant speed.

3.

What is happening at D?

a)

Stationary

b)

Accelerating

c)

Fast steady speed; moving away from the starting position

d)

Slower steady speed; moving away from the starting position

4.

Where is the object not moving?

a)

A

b)

B

c)

C

d)

E

5.

All of the x values or inputs are called what?

a)

Domain

b)

Range

c)

Relation

d)

Function

6.

What is a range?

a)

a large field used for grazing

b)

the output values of a relation

c)

the difference between the largest and smallest data points in a set

d)

all of these

7.

What is the domain of the relation {(5,-6), (1,6), (-3,-4), (-5,-5)}?

a)

{-5,-3,1,5}

b)

{-6,-5,-4,6}

c)

{-5,-3,1,-5}

d)

{-5,-4,6}

8.

Identify the domain of the following relation:

a)

{-6, 14, 2, 28}

b)

{(-6,14), (0,32), (2,38), (4,44)}

c)

{-6, 0, 2, 4}

d)

{14, 32, 38, 44}

9.

What is the domain of this relation?

a)

{-8,4,4,6}

b)

{-8,4,6}

c)

{-4,2,2,8}

d)

{-4,2,8}

10.

State the range of the relation

{(3, -2), (4, -3), (5, -4), (6, 0)}

a)

(3, -2, 4, -3)

b)

(-2, -3, -4, 0)

c)

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

d)

{ 3, 4, 5, 6 }

11.

What is the range?

a)

{-2, -1, 0, 3}

b)

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

c)

{-4, -2, 1, 2, 5}

d)

{-4, -2, -1, 0, 1, 2, 3, 5}

12.

What is the range?

a)

{-3, -1, 2, 4}

b)

{0, 4, 7}

c)

{0, 4, 4, 7}

d)

{7, 4, 0}

13.

What is the range of the following graph?

a)

-5, -1, 0 , 1, 5

b)

-4, -2, 0, 3, 6

c)

(-4, 1) ( 6, 0)

d)

(6, 0)

14.

Which Table represents the relation {(2,5), (-7,-7), (-1,-2), (5,-1)}?

a)

A

b)

B

c)

C

d)

D

15.

Determine the correct set of ordered pairs for the points shown on this graph.

a)

{(-3,4), (-4,3), (-4,1), (-2,-4)}

b)

{(-4,1), (1,2), (-1,-4), (-3,-4)}

c)

{(-2,3), (-4,3), (-1,2), (-4,-2)}

d)

{(-3,4), (3,4), (1,-4), (-2,-4)}

16.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

17.

Is this graph a function or not a function?

a)

Function

b)

Not a Function

18.

Evaluate f(-2) if f(x) = x+3

a)

-1

b)

1

c)

5

d)

-5

19.

Evaluate the function for the given value:

h(t) = -t + 3

Find h(-5)

a)

8

b)

-7

c)

6

d)

2

20.

For the function f(x) = -3(x-1),

find f(0).

a)

0

b)

-3

c)

3

d)

-1

21.

Given h(x) = -x²+3x,

find h(5).

a)

h(5) = 40

b)

h(5) = -10

22.

f(x)=2x+1

If f(x)=4, what is the value of x?

a)

3/2

b)

2

c)

1/2

d)

4

23.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

24.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

25.

What is the rate of change of the graph?

a)

$3.5\ \ or\ \ \frac{7}{2}$

b)

$1.67\ \ or\ \ \frac{5}{3}$

c)

$0.6\ \ or\ \ \frac{3}{5}$

d)

$-1.67\ \ or\ \ -\frac{5}{3}$

26.

The graph of the linear function is shown on the grid. What is the rate of change?

a)

$\frac{1}{5}$

b)

$-\frac{1}{5}$

c)

$5$

d)

$-5$

27.

Calculate the rate of change.

a)

6

b)

1/6

c)

-6

d)

-1/6

28.

Find the slope of the line containing (2,6) and (3,1).

a)

1

b)

5

c)

-5

d)

-1

29.

Find the slope of the line that passes through
(17, 2) and (17, -3)

a)

0

b)

undefined

c)

5

d)

-5

30.

What is the slope between the two points?
(2, 8); (3, 12)

a)

0

b)

-1

c)

undefined

d)

4

31.

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

a)

3

b)

4x

c)

4

d)

x

32.

What is the y-intercept in the following equation: y=-4x-5

a)

-4

b)

-4x

c)

5

d)

-5

33.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

34.

Which value is the y-intercept in the equation:

y= 2x -2

a)

2

b)

-2

c)

1

d)

-1

35.

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

36.

If m=3 and b=6, what is the correct slope intercept equation?

a)

y=3-6

b)

y=3x-6

c)

y=3x+6

d)

y=6x+3

37.

Determine the slope and y-intercept. y = 3/2x + 3

a)

slope: 5 y-intercept: (0,3)

b)

slope: 3/2 y-intercept: (0,3)

c)

slope: 4 y-intercept: (0,3/2)

d)

slope: 1/5 y-intercept: (0,5)

38.

Write the equation for the line.

a)

y= -1x+3

b)

y= 4x+3

c)

y=1/4x+3

d)

y= -4x+3

39.

Write the equation of the line.

a)

y = -1/3x - 2

b)

y = 1/3x - 2

c)

y = 3x - 2

d)

y = -3x - 2

40.

Write the equation of the line.

a)

y = -2/3x + 4

b)

y = 2/3x + 4

c)

y = 3/2x + 4

d)

y = -3/2x + 4

41.

Which is the graph of y= -x + 2?

a)

A

b)

B

c)

C

d)

D

42.

What is the equation by looking at this graph?

a)

y= x + 3

b)

y= -x + 2

c)

y= 2x + 2

d)

y= x + 2

43.

Write the equation of the line in standard form

a)

y=2/3x-2

b)

-2/3x-y=-2

c)

-2x+3y=-6

d)

2x-3y=6

44.

Which equation in standard form represents this graph?

a)

-3x +2y = -6

b)

3x + 2y = 6

c)

-3x - 2y= 12

d)

-3x + 2y = -12

45.

Which graph represents 2x + 4y = 12?

a)

b)

c)

d)

46.

What is the meaning of the y-intercept?

a)

The weight in the bucket increases by 1 pound per pound of sand.

b)

Before sand is put in the bucket, it weighs 1 pound.

c)

The starting weight of the sand is 1 pound.

d)

The weight in the bucket decreases by 1 pound per pound of sand.

47.

The graph shows the height (cm) of a candle as it burns, what does the y-intercept mean?

a)

Candle starts at 9 cm.

b)

Candle start at 4.5 cm

c)

Candle starts at 0 cm.

d)

The candle ends at 5 cm

48.

Which equation represents this graph?

a)

y = 3x + 2

b)

y = -2x + 3

c)

y = 2x + 3

d)

y = -3x + 2

49.

Which equation best represents the line on the graph?

a)

y= 1/2x

b)

y= -1/2x

c)

y = 2x

d)

y = -2x

50.

The graph shows the candle's height (cm) as it burns (minutes). What does the slope MEAN?

a)

The candle burns 1 cm every minute.

b)

The candle burns 2 cm every 2 minutes.

c)

The candle burns 2 cm every minute.

d)

The candle burns 1 cm every 2 minutes.

Unit 3 Study Guide

Total questions: 50

Worksheet time: 50mins

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