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Algebra 1 Topic 3 Retest

Total questions: 8

Worksheet time: 24mins

Name
Class
Date
1.

The table of values shows a linear relationship between x and y.

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

(a)  

2.

The linear function g(x) is graphed to the left. Which of the following are the x-intercept and y-intercept of g(x)?

a)

x-intercept: (4,0)

y-intercept: (0,-3)

b)

x-intercept: (-3,0)

y-intercept: (0,4)

c)

x-intercept: (3,0)

y-intercept: (0,4)

d)

x-intercept: (-3,0)

y-intercept: (0,4/3)

3.

The value of y is directly proportional to the value of x. When x=15, then y= 12. What is the value of y when x=20?

(a)  

4.

The graph of a linear function is shown on the grid.

Which function is best represented by this graph?

a)

f(x)=−1x−3f\left(x\right)=-1x-3  

b)

f(x)=−3x−1f\left(x\right)=-3x-1  

c)

f(x)=−13x−1f\left(x\right)=-\frac{1}{3}x-1  

d)

f(x)=−3x−3f\left(x\right)=-3x-3  

5.

What is the equation in standard form of the line that passes through the point (2, 8) and is parallel to the line represented by 5x−y=−75x-y=-7   ?

a)

5x−y=25x-y=2  

b)

2x+y=72x+y=7  

c)

5x−y=105x-y=10  

d)

x+5y=−10x+5y=-10  

6.

Write the slope intercept form of the equation through the given points: ( -1, - 3 ) and ( 1, - 5 )

a)

y = -4x + 6

b)

y = -2x + 8

c)

y = -1x - 4

d)

y = -1x - 6

7.

The graph models the linear relationship between the time in minutes and the height above the canyon floor (in feet) of a hiker.

Which statement describes the x-intercept of the graph?

a)

The x-intercept is 18, which represents the feet above the canyon floor when the hiker begins.

b)

The x-intercept is 360, which represents the feet above the canyon floor when the hiker begins.

c)

The x-intercept is 360, which represents the time in minutes it takes the hiker to reach the canyon floor.

d)

The x-intercept is 18, which represents the time in minutes it takes the hiker to reach the canyon floor.

8.

The graph of a linear function is shown of the grid. What is the rate of change of y with respect to x for this function?

a)

-1/4

b)

4

c)

1/4

d)

-1