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Algebra Chapter 4 Test Part 2

Total questions: 8

Worksheet time: 40mins

Name
Class
Date
1.

Given these two points, write an equation for the line in standard form:

(-5, 2) and (-4, 3)

a)

y = x + 7

b)

-x + y = 7

c)

-y = x = 7

d)

-x - y = 7

2.

Write the equation of a line in standard form given:

 y = 5x + 4y\ =\ 5x\ +\ 4  

a)

 5x + y = 4-5x\ +\ y\ =\ 4  

b)

 y = 5x + 4y\ =\ 5x\ +\ 4  

c)

 5x + y = 45x\ +\ y\ =\ 4  

d)

 y = 4x + 5y\ =\ 4x\ +\ 5  

3.

T-shirts at the flea market cost $4.50 each and shorts cost $6 each. You have enough money to buy exactly 12 t-shirts and 9 pairs of shorts. Write an equation in standard form that models the possible combinations of t-shirts (t) and shorts (s) you can buy.

a)

4.50t + 6s = 108

b)

4.50s + 6t = 108

c)

12t + 9s = y

d)

9t + 12s = y

4.

Given the following information, write the equation of a line parallel to:

 y = 43x + 1y\ =\ -\frac{4}{3}x\ +\ 1  

a)

 y = 43x + 1y\ =\ -\frac{4}{3}x\ +\ 1  

b)

 y = 43x  5y\ =\ -\frac{4}{3}x\ -\ 5  

c)

 y = 34x + 2y\ =\ -\frac{3}{4}x\ +\ 2  

d)

 y = 34x  4y\ =\ \frac{3}{4}x\ -\ 4  

5.

Write an equation of a line perpendicular to:

 y = 2x + 3y\ =\ 2x\ +\ 3  

a)

 y = 12x + 1y\ =\ -\frac{1}{2}x\ +\ 1  

b)

 y = 12x + 4y\ =\ \frac{1}{2}x\ +\ 4  

c)

 y = 21x +  3y\ =\ -\frac{2}{1}x\ +\ \ 3  

d)

 y = 12x + 2y\ =\ -\frac{1}{2}x\ +\ 2  

6.

Given the following information, pick the equation of a line parallel to:

 5x + y = 65x\ +\ y\ =\ 6  

a)

 y = 51x + 1y\ =\ -\frac{5}{1}x\ +\ 1  

b)

 y = 51x  6y\ =\ \frac{5}{1}x\ -\ 6  

c)

 y = 15x + 2y\ =\ -\frac{1}{5}x\ +\ 2  

d)

 y = 15x  4y\ =\ \frac{1}{5}x\ -\ 4  

7.

Write an equation of a line perpendicular to:

 12x + y = 4-\frac{1}{2}x\ +\ y\ =\ 4  

a)

 y = 12x + 1y\ =\ -\frac{1}{2}x\ +\ 1  

b)

 y = 12x + 4y\ =\ \frac{1}{2}x\ +\ 4  

c)

 y = 21x +  3y\ =\ -\frac{2}{1}x\ +\ \ 3  

d)

 y = 21x + 2y\ =\ \frac{2}{1}x\ +\ 2  

8.

Write an equation of a line that passes through (4, 3) and is perpendicular to the line y = 4x - 7.

a)

y = 14x + 4y\ =\ -\frac{1}{4}x\ +\ 4

b)

y = 43x + 1y\ =\ -\frac{4}{3}x\ +\ 1

c)

y = 41x + 7y\ =\ -\frac{4}{1}x\ +\ 7

d)

y = 14x 3y\ =\ -\frac{1}{4}x\ -\ 3