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Unit 4 Review

Total questions: 12

Worksheet time: 19mins

Name
Class
Date
1.

Which equation represents a line with a slope of 4 and a y-intercept of 3?

a)

y=3x-4

b)

y=3x+4

c)

y=4x+3

d)

y=4x-3

2.

Write the equation in slope intercept form for a line that passes through the point (3,-7) with a slope of  −23-\frac{2}{3}  . 

a)

 y=−23x−7y=-\frac{2}{3}x-7  

b)

 y=32x−7y=\frac{3}{2}x-7  

c)

 y=−23x−9y=-\frac{2}{3}x-9  

d)

 y=−23x−5y=-\frac{2}{3}x-5  

3.

Which equation represents the given data in the table?

a)

y=10x-5

b)

y=2x

c)

y=4x-2

d)

y=2x-1

4.

What is the equation of the line that has a y-intercept of  -1  and is parallel to y=−12x−4y=-\frac{1}{2}x-4  

a)

 y=−12x−1y=-\frac{1}{2}x-1  

b)

 y=12x−1y=\frac{1}{2}x-1  

c)

 y=2x−1y=2x-1  

d)

 y=−2x−1y=-2x-1  

5.

A line has the equation 2x+3y=102x+3y=10 . What is the slope of a line that is perpendicular?

a)

 −23-\frac{2}{3}  

b)

 23\frac{2}{3}  

c)

 32\frac{3}{2}  

d)

 −32-\frac{3}{2}  

6.

Your science class is taking a field trip to the observatory. The cost of the presentation and a tour is $60.00 for the group plus an additional $3 per person. Write an equation that gives the total cost C as a function of the number of people p in the group.

a)

C=60p+3C=60p+3

b)

C=3p+60C=3p+60

c)

C=3p−60C=3p-60

d)

C=−3p+60C=-3p+60

7.

Which of the following statements is true of the given lines? Line a:  y=−2x+5Line\ a:\ \ y=-2x+5   Line b:  y =−12x+5Line\ b:\ \ y\ =-\frac{1}{2}x+5   Line c:  y=12x−3Line\ c:\ \ y=\frac{1}{2}x-3  

a)

Lines a and b are parallel.

b)

Lines b and c are parallel

c)

Lines b and c are perpendicular.

d)

Lines a and c are perpendicular.

8.

 (6,−2)\left(6,-2\right)  What is the equation of the vertical line through the point

a)

 y=−2y=-2  

b)

 x=−2x=-2  

c)

 y=6y=6  

d)

 x=6x=6  

9.

Given m=12m=\frac{1}{2}  and the point  (5,4)\left(5,4\right) , find the y-intercept.

a)

 33  

b)

 32\frac{3}{2}  

c)

 44  

d)

 132\frac{13}{2}  

10.

 What is the equation of the line with a slope of 2 that passes through the point (3,−2)\left(3,-2\right) ?

a)

 y=2x+8y=2x+8  

b)

 y=2x+7y=2x+7  

c)

 y=2x−2y=2x-2  

d)

 y=2x−8y=2x-8  

11.

Which is the equation of the line that passes through the points (−3,1)\left(-3,1\right)  and  (1,5)\left(1,5\right)  ?

a)

 y=x+4y=x+4  

b)

 y=4x+1y=4x+1  

c)

 y=−x+4y=-x+4  

d)

 y=4x−1y=4x-1  

12.

Write the equation of the line with an x-intercept of  22   and a y-intercept of  −3-3  

a)

 y=32x−3y=\frac{3}{2}x-3  

b)

 y=32x+2y=\frac{3}{2}x+2  

c)

 y=23x−3y=\frac{2}{3}x-3  

d)

 y=23x+2y=\frac{2}{3}x+2