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Linear Functions Practice Quiz

Total questions: 26

Worksheet time: 59mins

Name
Class
Date
1.

Which of the following is the function form (slope intercept form) of the explicit formula an = 15 - 3(n - 1)?

a)

f(n) = 3n - 18

b)

f(n) = 3n + 18

c)

f(n) = 18 - 3n

d)

f(n) = 18 + 3n

2.

Can all arithmetic sequences be modeled by a linear function?

a)

No, because arithmetic sequences have a variable rate of change.

b)

No, because linear functions have a variable rate of change.

c)

Yes, because arithmetic sequences have a constant rate of change.

d)

Yes, because linear functions have a constant rate of change.

3.

Which of the following sequences represents a linear function?

a)

-8, -6, 2, 8

b)

-6, 1, 2, 8

c)

-16, -2, 12, 26

d)

-8, -6, -4, -1

4.

What is the average rate of change for the table?

a)

5 kilometers per minute

b)

0.1 kilometers per minute

c)

-0.5 kilometers per minute

d)

.5 kilometers per minute

5.

Gina has saved $300. She plans to save an additional $15 each week. Write an equation in explicit form.

a)

s(t) = 315 + 15(n-1)

b)

s(t) = 300 + 15(n-1)

c)

s(t) = 300+15t

d)

s(t) = 15t+300

6.

Gina has saved $300. She plans to save an additional $15 each week. What is the function that describes Gina's savings as a function of time in factored form?

a)

s(t) = 15(t + 300)

b)

s(t) = 15(t + 20)

c)

s(t) = 15(t -300)

d)

s(t) = 15t+300

7.

Does the table represent a Linear Function?

a)

Yes

b)

No

8.

Does the table represent a Linear Function?

a)

Yes

b)

No

9.

Find the Slope of the Line.

a)

3/2

b)

2/3

c)

-3

d)

-2

10.

What is the x-intercept of the graph?

a)

(12, 0)

b)

(0, 12)

c)

(0, -4)

d)

(-4, 0)

11.

Find the rate of change.

a)

-2 minutes per gallon

b)

2 minutes per gallon

c)

-2 gallons per minute

d)

2 gallons per minute

12.

What is the meaning of the y-intercept?

a)

The cost of the moving van per mile driven

b)

Initial cost of renting the moving van

c)

The total cost of renting the moving van

d)

The total distance the moving van is driven

13.

What is the meaning of the slope on the graph?

a)

The sloth moves a total of 1.5 minutes.

b)

The sloth moves 3 feet every minute.

c)

The sloth moves a total of 9 feet.

d)

The sloth moves 6 feet every minute.

14.

What is the meaning of the x-intercept on the graph?

a)

The water is draining for 7 hours in total.

b)

The water drains at a rate of 1 gallon per hour.

c)

The water drains at a rate of 25 gallons per hour.

d)

There are 175 gallons of water before it starts to drain.

15.
The graph represents the money in a savings account.  What is the meaning of the y-intercept?
a)
The initial deposit was $30
b)
$30 is added to the account each week
c)
It took 30 weeks to same enough money to open an account
d)
not enough information
16.
Convert to slope intercept form
y-3=-2(x+4)
a)
y=2x-5
b)
y=-2x+7
c)
y=-2x-5
d)
y=-2x +1
17.
Write the following equation in slope intercept form:
y + 2 = -3(x - 5)
a)
y = -3x + 17
b)
y = -3x + 13
c)
y = -3x - 13
d)
y = -3x - 17
18.

Write the following equation in slope intercept form:

y - 5 = 3 ( x + 2 )

a)

y = 3x + 8

b)

y = 3x + 11

c)

y = 3x + 1

d)

y = 3x - 8

19.

Write the following equation in slope intercept form:

y + 9 = 3(x - 1)

a)

y = 3x + 12

b)

y = 3x - 12

c)

y = 3x - 6

d)

y = 3x + 6

20.
6(5u + q)
a)
5u + 6q
b)
30u + 6q
c)
6u + 6q
d)
30u + q
21.
Factor:
12x + 9
a)
3(4x + 3)
b)
x(12+9)
c)
3(4x - 3)
d)
not factorable
22.
Factor:  
4x + 30y
a)
2(x + 15y)
b)
4(x + 15y)
c)
2(2x + 15y)
d)
can't be factored
23.

Factor 5x + 20

a)

5(x + 4)

b)

x(4+5)

c)

5(4x + 1)

d)

not factorable

24.

Factor:

36x+16-36x+16  

a)

4(9x4)4\left(9x-4\right)  

b)

4(9x+4)-4\left(-9x+4\right)  

c)

4(9x+4)4\left(-9x+4\right)  

d)

4(9x+4)-4\left(9x+4\right)  

25.

A bank account starts at $100 and gains $10 each day. What is the 1st term?

a)

100

b)

110

c)

90

26.

A bank account starts at $100 and gains $10 each day. What is the common difference?

a)

100

b)

10

c)

-10

d)

-100