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Pre- Algebra Unit 4 Solving Equations

Multiple Choice
Identify the choice that best completes the statement or answers the question.
 

 1. 
Simplify the following expression by combining similar terms.

9a - 3a + 5 - 6
a.
6a - 1
b.
7a - 2
c.
6a - 3
d.
8a - 1
 

 2. 
Solve the equation.

5t - 20 + 5t = 60
a.
t = 16
b.
t = 8
c.
t = –4
d.
none of these
 

 3. 
Find the value for x for the figure, given the perimeter.

mc003-1.jpg

mc003-2.jpg
a.
mc003-3.jpg
b.
mc003-4.jpg
c.
mc003-5.jpg
d.
mc003-6.jpg
e.
mc003-7.jpg
 

 4. 
Solve the equation.

5(8x - 200) = 30(5x - 4)
a.
x = –18
b.
x = –11
c.
x = 2
d.
x = –8
e.
x = –6
f.
x = –3
 

 5. 
Write the following English phrase in symbols using the variable x.

The sum of 6 times x and 8.
a.
6x + 9
b.
6x + 10
c.
7x + 8
d.
6x + 8
e.
7x + 9
f.
7x + 10
 

 6. 
Suppose y = 11x - 3.

Find y if x = 4.
a.
y = 44
b.
y = 41
c.
y = 47
d.
y = 1
e.
none of these
 

 7. 
The rate equation is mc007-1.jpg. At 5:30 P.M. Ken leaves his house and drives at an average speed of 62 miles per hour to his mother's house. He arrives at 8:30 P.M. How many miles did Ken drive?
a.
174 mi
b.
186 mi
c.
177 mi
d.
180 mi
e.
183 mi
 

 8. 
Complete the ordered pairs so that they are solutions of mc008-1.jpg.

mc008-2.jpg
a.
mc008-3.jpg
b.
mc008-4.jpg
c.
mc008-5.jpg
d.
mc008-6.jpg
e.
mc008-7.jpg
 

 9. 
The graph shown here is the graph of which of the following equations?

mc009-1.jpg
a.
y = 4x - 3
b.
y = 4x + 3
c.
y = 3x - 4
d.
y = 3x + 4
 

 10. 
Find the graph of the following equation.

y = –3
a.
mc010-1.jpg
c.
mc010-3.jpg
b.
mc010-2.jpg
d.
mc010-4.jpg
 

Numeric Response
 

 1. 
Find the value of the following expression when a = 7. You may substitute 7 for a in the expression the way it is written, or you may simplify the expression first and then substitute 7 for a.

8a + 7a + 8

 

 2. 
Find the value of the following expression when y = 3. You may substitute 3 for y in the expression the way it is written, or you may simplify the expression first and then substitute 3 for y.

3y - 8 + 8y - 8

 

 3. 
Use the multiplication property of equality to solve of the following equation.

nr003-1.jpg

 

 4. 
Use the multiplication property of equality to solve of the following equation.

nr004-1.jpg

 

 5. 
Using the addition property of equality first, solve the following equation.

nr005-1.jpg

 

 6. 
Simplify each side of the following equation first, then solve.

nr006-1.jpg

 

 7. 
Solve the equation.

9(x - 6) = -9

 

 8. 
Solve the equation.

nr008-1.jpg

 

 9. 
The formula P = 3s + 4w - 4l - 4b, where s = saves, w = wins, l = losses, and b = blown saves, gives the Rolaids points a pitcher earns.

Use this formula to find Rolaids points earned in 1998 for Ugueth Urbina, if w = 1, l = 2, s = 36, b = 6.

Please enter your answer as a number without the units.

 

 10. 
Use the formula P = 3W + 10L to find P.

W = 10 inches and L = 11 inches.

Please enter your answer as a number without the units.

 

Matching
 
 
Indicate which of the given ordered pairs are solutions for each equation.

Choose the correct letter for each question.
a.
grp001-1.jpg
b.
grp001-2.jpg
 

 1. 

 ma001-1.jpg
 

 2. 

 ma002-1.jpg
 
 
Indicate which of the given ordered pairs are solutions for each equation.

Choose the correct letter for each question.
a.
grp002-1.jpg
b.
grp002-2.jpg
 

 3. 

 ma003-1.jpg
 

 4. 

 ma004-1.jpg
 
 
Match each graph with the correct equation.

Choose the correct letter for each question.
a.
grp003-1.jpg
b.
grp003-2.jpg
 

 5. 

 ma005-1.jpg
 

Short Answer
 

 1. 
Simplify the following expression by combining similar terms.

9x - 8x + 5 - 8
 

 2. 
Determine if the point (12, 7) belongs to the line that connects the points (3, -1) and (4, 0).

Respond with yes or no.
 



 
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