Name: _______________________________
A
Algebra 1 Chapter 3 Test
You may use a calculator. Show all of your work!
1. If a bag of coffee costs $4.48 for 7 ounces,
how much does it cost per ounce?
2. A van travels 330 miles on 15 gallons of
gas. Find how many gallons the van needs
to travel 748 miles.
3. School guidelines require that there must be
at least 2 chaperones for every 25 students going
on a school trip. How many chaperones must
there be for 80 students?
4. The length of a rectangular garden is 3
yards more than its width. The perimeter
of the garden is 30 yards. What are the
length and the width of the garden?
w
5. The sum of three consecutive integers is 30.
What are the integers?
Determine whether the given lengths can be sides of a right triangle.
6. 10 m, 26 m, 24 m
7. 5 cm, 23 cm, 32 cm
Simplify the following square roots (no decimals!)
8.
300
10.
250
11.
3 8
12.
9
225
Name: _______________________________
A
NO CALCULATOR!! Show all of your work.
Solve Each Proportion:
12.
10 4

x 3
13.
x3 7

4
8
14.
4x  2 2x  1

2
3
Find the length of the missing side. Simplify you answer if necessary (no decimals).
15.
16.
17. Suppose you are making a sail in the shape of a right triangle for a sailboat. The length of the longest side of
the sail is 65 ft. The sail is 63 ft high. What is the length of the third side of the sail? (Hint: draw a picture!)
Solve each equation:
18. m – 5(m – 1) = 72
19. 2(1 – 2y) = 4y +18
BONUS! 1 point for trying. 2 points for the correct answer. (Show work on the back)
Solve 4x  36( x  3)  2(2x  3)  11x  7
20. 3w + 2 – w = - 4