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Linear Equations

Total questions: 15

Worksheet time: 1hrs 24mins

Name
Class
Date
1.

What is the equation and slope of the line shown on the grid?

(no spaces in your answer)

(a)  

2.

Simplify and tell whether the equation has one, zero or infinite solutions.

2(3x - 6) = -12 + 6x

a)

One Solution

b)

No Solution

c)

Infinite Solutions

3.

Using the following graphing, write a linear equation. (Type without spaces)

(a)  

4.

Find the slope in simplest form

(a)  

5.

Find the slope in simplest form

(a)  

6.

Which graph represents the equation y=4x−1y=4x-1  ?

a)
b)
c)
d)
7.

Write the equation of the graph

(no spaces in your answer)

(a)  

8.

Write the equation of the line

(no spaces in your answer)

(a)  

9.

What is the slope of a line between (−4,14)(-4,14) and (−16,8)(-16,8) ? Record as a simplified proper or improper fraction (no decimals or mixed numbers)

 

(a)  

10.

Match the Graph with its slope.

a)
1.

Negative

b)
2.

Positive

c)
3.

Zero

d)
4.

Undefined

11.

Graph the following equation:

y=2x+5y=2x+5

12.

Graph the following equation:

y=6y=6

13.

Graph the following equation:

y=−13xy=-\frac{1}{3}x

14.
The cost of Nate’s service is described by y = 4x + 6. The table shows the cost of Beth’s service. Find the equation for Beth's service.  Which service is cheaper for 8 movies in one month?
a)
Beth's service ($38 vs. $40) is cheaper
b)
Nate’s service ($42 vs. $44) is cheaper
c)
Nate’s service ($38 vs. $40) is cheaper
d)
Beth's service ($42 vs. $44) is cheaper
15.
Which company shows a greater rate of change?
a)
Water's Edge Rafts
b)
Ryan's Rafts