Name ______________________________________
Algebra
Chapter 2 Study Guide
Lesson 2.1
1.) What is the solution of y + 2 = -6?
2.) An online DVD rental company offers gift certificates that you can use to purchase rental plans.
You have a gift certificate for $30. The plan you select costs $5 per month. How many months
can you purchase with the gift certificates?
Lesson 2.2
a + 10
?
2
4.) The selling price of a television in a retail store is $66 less than 3 times the wholesale price. If the
selling price of a television is $899, write and solve an equation to find the wholesale price of the
television.
3.) What is the solution of 4 =
Lesson 2.3
5.) What is the solution of 11m – 8 – 6m = 22?
6.) Solve the equation.
-14 = -4(9x-1)
2 3m 31
7.) Solve the equation.
+
=
3 5 15
8.) The sum of three integers is 228. The second integer is 1 more than the first, and the third integer
is 2 more than the first. Write an equation to determine the integers. Then find all three integers.
Lesson 2.4
9.) Solve the equation.
18 – 6a = 4a – 4(a + 3)
10.)
Solve the equation.
5x + 2x – 3 = -3x + 10x
11.)
Shirley is going to have the exterior of her home painted. Tim’s Painting charges $250
plus $14 per hour. Colorful Paints charges $22 per hour. How many hours would the job need to
take for the two companies to equal the same amount of money?
Lesson 2.5
12.)
13.)
Solve for y. 10y + 6x = 12
Solve for x. d = f + fx
14.)
Solve for x.
15.)
Solve for p. xp + yp = z
!!!
!!!
=5
Lesson 2.6
16.)
17.)
18.)
19.)
20.)
Convert 15 days to hours.
Convert 3 miles to feet.
Convert 25mi/hour into meters/minute.
What is the unit rate if 4 pounds of green peppers cost $7.56?
Which is longer, 4000 ft or 1 kilometer?
Lesson 2.7
21.)
Solve the proportion.
22.)
Solve the proportion.
!
!
=!
!
!
!!!!
!
= !!!
23.)
The windows on a building are proportional to the size of the building. The height of each
window is 18in and the width is 11 in. If the height of the building is 108 ft, what is the width of
the building?
Lesson 2.8
24.)
On a map, the distance between Sheila’s house and Sammy’s house is 6.75 inches.
According to the scale, 1.5 inches represents 5 miles. How far apart are the houses?
25.)
A man who is 6 ft tall is standing next to a flagpole. The shadow of the man is 3.5 ft and
the shadow of the flagpole is 17.5 ft. What is the height of the flagpole?
Lesson 2.9
26.)
What percent of 15 is 12?
27.)
What is 125% of 62?
28.)
70% of what number is 63?
29.)
A store is having a clearance sale where merchandise on the sales racks is reduced by 80%
from the original price. If a jacket was originally priced at $76, what is the sale price?
Lesson 2.10
30.)
The original price for a gallon of milk is $4.19. The sale price this week for a gallon of
milk is $2.99. What is the percent decrease to the nearest percent?
31.)
Find the percent of change from $42.75 to $39.99