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Algebra I: Review of Linear Functions

Total questions: 17

Worksheet time: 21mins

Name
Class
Date
1.

Which point lies on the graph of the line  y=3x4y=3x-4  ?

a)

(3, -4)

b)

(-4, 0)

c)

(-1, -7)

d)

(1, 1)

2.

A rental car company charges a flat fee of $25.00 and an additional $0.05 per mile. Which of the following functions gives the cost, c, of the rental car as a function of the number of miles, m, driven?

a)

c=0.05m+25c=0.05m+25

b)

c=25m+0.05c=25m+0.05

c)

c=25(m+0.05)c=25\left(m+0.05\right)

d)

c=0.05m25c=0.05m-25

3.

Which of the following is the slope of a line that passes through the points (-4, 6) and (2, -9)

a)

32\frac{3}{2}

b)

152-\frac{15}{2}

c)

32-\frac{3}{2}

d)

52-\frac{5}{2}

4.

If  f(n)=13n6f\left(n\right)=\frac{1}{3}n-6  , then which of the following is the value of  f(6)f\left(-6\right)  

a)

-12

b)

0

c)

-8

d)

-4

5.

If  f(n)=13x+2f\left(n\right)=\frac{1}{3}x+2  , then what value of n would make  f(n)=103f\left(n\right)=\frac{10}{3}  

a)

4

b)

13

c)

0

d)

7

6.

If a line is drawn parallel to the x-axis through the point (5, -2), then its equation would be

a)

y=5x2y=5x-2

b)

y=x+5y=x+5

c)

x=5x=5

d)

y=2y=-2

7.

A line of slope 4 passes through the point (5, 7). Which of the following is the value of its y-intercept?

a)

7

b)

-13

c)

27

d)

12

8.

 h(t)=.03(t20)2+12h\left(t\right)=-.03\left(t-20\right)^2+12 models the height of a ball after it has been kicked where t is the time in seconds and the height is measured in feet.  What does  h(2)h\left(2\right)  mean in the context of this problem?

a)

The time when the ball was 2 feet above the ground

b)

The answer you get when you plug in 2

c)

The initial height of the ball

d)

The height of the ball after 2 seconds

9.

Using  f(x)f\left(x\right)  graphed above, find  f(3)f\left(-3\right)  

a)

1

b)

-1

c)

3

d)

-3

10.

Using  f(x)f\left(x\right)  graphed above, find  f(1)f\left(1\right)  

a)

1

b)

6

c)

0

d)

-3

11.

Using  f(x)f\left(x\right)  graphed above, for how many values of x does  f(x)=2f\left(x\right)=2 

a)

-1.5

b)

1

c)

2

d)

3

12.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

If no one left during the 60 minutes, how many people were in the stadium before the gates opened?

a)

100

b)

2500

c)

0

d)

60

13.

People are entering a stadium at a steady rate of 40 people per minute. After 60 minutes there are 2500 people in the stadium.

Write a linear equations for the number of people, n, as a function of the time in minutes, m, since the gates were opened. How many people would be in the stadium after two hours?

a)

n=40m+100; 4900 peoplen=40m+100;\ 4900\ people

b)

n=40m+100; 180 peoplen=40m+100;\ 180\ people

c)

n=60m+2500; 2620 peoplen=60m+2500;\ 2620\ people

d)

n=m+40; 160 peoplen=m+40;\ 160\ people

14.

Which is the graph of  y=3y=3  ?

a)
b)
c)
d)
15.

Which is the graph of  x=3x=3  ?

a)
b)
c)
d)
16.

Which is the graph of  y=3x+1y=3x+1  ?

a)
b)
c)
d)
17.

Which is the graph of  2x+2y=62x+2y=6  ?

a)
b)
c)
d)