Free Printable Rate of Change (slope)

1.

Which of the following are ways to find the rate of change?

a)

change in y over change in x

b)

rise over run

c)

subtract y coordinates over subtract x coordinates

d)

all of the above

2.

What direction is an undefined slope?

a)

horizontal

b)

vertical

c)

oblique

d)

straight

3.

What does slope measure?

a)

A line

b)

Steepness of a line

c)

Length of a line

d)

Width of a line.

4.

The slope formula is:

a)

y₁- y₂

_________

x₁ - x₂

b)

y₂- y₁

__________

x₂ - x₁

c)

X₂- X₁

__________

Y₂ - Y₁

5.

Find the slope of the line.

a)

-5/4

b)

5/4

c)

-4/5

d)

4/5

6.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

7.

Find the slope:
(-3, 3) and (7, 6)

a)

3/4

b)

-4/3

c)

3/10

d)

-10/3

8.

Who drove faster?
Dan drives 60 miles in 5 hours.
David drives 75 miles in 6 hours.

a)

Dan

b)

David

9.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

10.

Rate of Change is the same as Slope.

a)

True

b)

Sometimes

c)

False

11.

What is the formula for rate of change?

a)

y₂-y₁ / x₂-x₁

b)

x₂-x₁ / y₂-y₁

12.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

13.

What is the rate of change for the table below?

a)

1/3

b)

3/7

c)

7/3

d)

3

14.

Which statement below accurately represents the graph?

a)

$100 is earned for each hour worked

b)

$100 is earned for every 2 hours worked

c)

$500 is earned for every 8 hours worked

d)

$200 is earned for every 3 hours worked

15.

What is the rate of change for the following:

(4,5) (2, 15)

a)

-1/5

b)

1/5

c)

-5

d)

5

16.

What is the rate of change for the following graph?

a)

80 mi/hr

b)

20 mi/hr

c)

40 mi/hr

d)

160 mi/hr

17.

At what rate did the rain fall?

a)

2 cm per hour

b)

¹/₄ cm per hour

c)

¹/₂ cm per hour

d)

4 cm per hour

18.

Which best describes the graph represented in this table?

a)

Constant rate of change

b)

Not a constant rate of change

c)

Other...

d)

What you talkin' about Willis?

19.

which line has the greater rate of change

a)

Blue

b)

Red

c)

they are the same

20.

which line has the grater rate of change

a)

Blue

b)

Red

c)

they are the same

21.

which graph has a negative rate of change

a)

blue

b)

red

c)

both are negative

22.

which graph has a greater rate of change

a)

red

b)

blue

c)

they have the same rate of change

23.

which equation has the greater rate of change

a)

y=2x+3

b)

y=1/2x +4

c)

same rate of change

24.

which has the greater rate of change

a)

y=x +3

b)

y= x+4

c)

both have the same rate of change

25.

which has a negative rate of change?

a)

y=-4x+1

b)

y=x +6

c)

both are negative

d)

neither are negative

26.

which has a greater rate of change?

a)

y=1/2 x +1

b)

y=1/3 x +2

c)

they have the same slope or rate of change

27.

If this graph was representing a table. Which dots would represents a greater rate of change?

a)

Red

b)

Blue

c)

they have the same rate of change

28.

This table is from the previous graph. Which of the tables have the greater rate of change?

a)

Red

b)

Blue

29.

In slope intercept form

y=mx+b

which letter represents the rate of change/slope

a)

y

b)

m

c)

x

d)

b

30.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

31.

Rate of Change is the same as Slope.

a)

True

b)

Sometimes

c)

False

32.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

33.

Shrimp costs $5.25 per pound. Which equation best represents y, the total cost of x pounds of shrimp?

a)

x =5.25y

b)

y = 5.25 + x

c)

y = 5.25x

d)

x = 5.25 +y

34.

In the equation y=mx+b, what does the m represent?

a)

slope

b)

y-intercept

c)

linear

d)

point-slope

35.

What is the slope of the line with the equation y = 4x + 12

a)

4

b)

1/4

c)

-4

d)

-1/4

36.

What is the slope of the line with the equation y = 2/3x - 6 ?

a)

2/3

b)

- 2/3

c)

3/2

d)

-3/2

37.

Find the slope of the line.

a)

-2

b)

2

c)

-1

d)

1

38.

Which has the greater rate of change?

a)

A

b)

B

c)

They're the same!

39.

Which has the greater y-intercept?

a)

A

b)

B

c)

They're the same!

40.

Find the slope of the line.

a)

Undefined

b)

0

c)

1

d)

-1

41.

What is the rate of change of y with respect to x?

a)

-1/2

b)

-5/2

c)

2/1

d)

-2/1

42.

What is the rate of change in the following function:

$f\left(x\right)=4x-5$

a)

4

b)

4x

c)

5

d)

-5

43.

Mr. Z is starting his own car club, there is a $30 join up fee and a $5 monthly fee. What is the rate of change?

a)

30

b)

5

44.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

45.

What is the rate of change in the following function:

$g\left(x\right)=7-14x$

a)

7

b)

14

c)

-14

d)

-14x

46.

which line has the greater rate of change

a)

Blue

b)

Red

c)

they are the same

47.

What is the slope formula?

a)

$m\ =\ \frac{y_2-\ y_1}{x_{2\ }-\ x_1}$

b)

$\left(x_1,\ y_1\right)\ \left(x_2,\ y_2\right)$

c)

$m\ =\ \frac{x_2-\ x_1}{y_{2\ }-\ y_1}$

48.

a)

0/3

b)

-6/3

c)

-6/7

d)

6/3

49.

a)

2/12

b)

2/2

c)

-2/12

d)

-2/2

50.

What does "m" stand for in the slope formula?

a)

y axis

b)

slope

c)

y coordinate

d)

x coordinate

51.

What is the slope formula?

a)

$m\ =\ \frac{x_2+x_1}{y_2+y_1}$

b)

$m\ =\ \frac{x_2-x_1}{y_2-y_1}$

c)

$m\ =\ \frac{y_2+y_1}{x_2+x_1}$

d)

$m\ =\ \frac{y_2-y_1}{x_2-x_1}$

52.

What letter is used to represent slope?

a)

y

b)

m

c)

x

d)

b

53.

Find the slope of the line.

a)

2

b)

$\frac{4}{1}$

c)

$\frac{3}{1}$

d)

$\frac{1}{2}$

54.

Find the slope:

a)

$\frac{3}{4}$

b)

$\frac{4}{3}$

c)

$\frac{1}{4}$

d)

$\frac{3}{1}$

55.

Here are the prices for cans of juice that are the same brand and the same size at different stores. Which store offers the best deal?

Store X: 4 cans for $2.48

Store Y: 5 cans for $3.00

Store Z: 59 cents per can

a)

Store X

b)

Store Y

c)

Store Z

d)

They are the same price at each store, so they are all great deals.

56.

If the baseball stadium can admit 15 people in one minute, how long will it take for the following numbers of people to enter?

Match the following:

a)

4 minutes

1.

60 people

b)

20 minutes

2.

300 people

c)

60 minutes

3.

900 people

d)

2 minutes

4.

30 people

57.

Match each deal with the unit price per can of beans:

a)

8 for $6

1.

$0.75 per can

b)

10 for $10

2.

$1 per can

c)

2 for $3

3.

$1.50 per can

d)

$0.80 each

4.

$0.80 per can

58.

Mai and Priya were on scooters. Mai traveled 15 meters in 6 seconds. Priya traveled 22 meters in 10 seconds. Who was moving faster?

a)

Mai

b)

Priya

59.

Round 5.434 to the nearest hundredth.

a)

5.43

b)

5.44

c)

5.445

d)

5.44

60.

What is 3.436 rounded to the nearest hundredth?

a)

3.5

b)

4

c)

3.43

d)

3.44

Rate of Change (slope)

Total questions: 60

Worksheet time: 5hrs 0mins

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