Wayground logo

Free Printable Worksheets

Font size

S
M
L
XL
Worksheets

1/13 Writing Linear Functions Review

Total questions: 25

Worksheet time: 1hrs 15mins

Name
Class
Date
1.

Function 1 is represented by the table above:

Function 2 is represented by the equation y = 2x – 4.

Which statement is true?

a)

Function 1 has a greater rate of change than Function 2.

b)

Function 2 has a greater rate of change than Function 1.

c)

They have the same rate of change

d)

Function 1 has a positive rate of change, and Function 2 has a negative rate of change.

2.

Find the slope of the line using the table.

a)

−34-\frac{3}{4}

b)

34\frac{3}{4}

c)

43\frac{4}{3}

d)

−43-\frac{4}{3}

3.

Which equation represents the line shown on the coordinate plane? 

a)

 𝑦=25𝑥−2𝑦=\frac{2}{5}𝑥−2  

b)

 𝑦=25𝑥+5𝑦=\frac{2}{5}𝑥+5  

c)

 y=−25𝑥+5y=-\frac{2}{5}𝑥+5  

d)

 𝑦=−25𝑥−2𝑦=−\frac{2}{5}𝑥−2  

4.

Which value is the slope in the equation:

y= 4x + 2

a)

4

b)

2

c)

x

5.

Which value is the y-intercept in the equation:

y= 2x -2

a)

2

b)

-2

c)

1

6.

Which equation is in Slope Intercept Form

a)

m=x-b

b)

y=b+x

c)

y=mx+b

d)

y=bx+m

7.

"m" or "Slope" is the ___________ of the line

a)

rate of change (Slope)

b)

positive part

c)

negative part

8.

Y or f(x) is the ________ part of the equation

a)

Output

b)

Input

9.

X is the ______ part of the equation

a)

Input

b)

Output

10.

b stands for the _____________ in the equation

a)

y-intercept

b)

Slope

c)

x-intercept

11.

What is the slope intercept form of the function graphed below?

a)

y = 1/3 x +2

b)

y = - 1/3 x + 3

c)

y = 2 x + 1/3

12.

What is the y-intercept of the graph below?

a)

b = 3

b)

b = -3

c)

b = 3/2

13.

What is the y-intercept of the function that was used to generate the t-chart shown?


Hint: Y-intercept is the y value when x=0.

a)

b = 3

b)

b=4

c)

b=2

14.

What is the slope of the function that was used to generate the t-chart shown?


Hint: Slope is the m = change in y/change in x = ( y2-y1) / (x2-x1)

a)

b = 3

b)

b=1

c)

b=1/3

15.

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


Hint: Remember your order of operations. Careful with Negatives.

a)

-1

b)

1

c)

5

16.

Given h(x) = 5 - 9x, find h(8).


Hint: Remember your order of operations.

a)

h(8) = -360

b)

h(8) = -67

17.
Bob has $150 in his savings account and saves $40 per month.
a)
150 + 40
b)
40x + 150
c)
150x + 40
18.
Which equation matches the table?
a)
y=2x
b)
y=x-3
c)
y=x+2
d)
y=1/2x
19.

Lee charges $3 for a basket and $2.50 for each pound of fruit picked at the orchard. Write an equation in y = mx + b form for the total cost of x pounds of fruit from the orchard.

a)

y = 3x + 2.5

b)

y = 2.50x + 3

c)

y = 2.50x 

d)

y = 3x + 2.50

20.

You plan to go snowboarding. The resort charges $15 an hour in addition to $25 to rent a board. Write an equation that represents the cost to go snowboarding for the day.

a)

y=15x-25

b)

15x+25y=100

c)

25x+y=15

d)

y=15x+25

21.

Jerry has $20 and makes $7 per hour. Which equation represents the total amount of money Jerry has after working x hours?

a)

y = 7x + 20

b)

y = 7 + 20x

c)

y = 20 + 7

22.

Sandra has a $20 itunes gift card and spends $3 each month.  Which equation can be used to find how much money Sandra has on her giftcard after x months?

a)

y = 3x + 20

b)

y = 3 + 20x

c)

y = -3x + 20

d)

y = -20x + 3

23.

The total cost (y) at an amusement park can be modeled by y=1.5x+20 where x is the number of rides you ride. What is the entrance fee?

a)

1.5

b)

200

c)

0

d)

20

24.
Speedy Boat Rental charges a $15 deposit fee plus $2 for each hour of use to rent a paddle boat.  Write an equation for C, the total cost, to rent the boat for h hours.
a)
h = 2C + 15
b)
C = 15h + 2
c)
h = 15C + 2
d)
C = 2h + 15
25.

Bob's Plumbing charges $25 per hour plus a service fee of $40 for coming out to your house. Which equation models this situation?

a)

y = 25x + 40

b)

y = 40x + 25

c)

y = 25x

d)

y = 25x - 40