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Name
1-4
Class
Date
Practice
Form K
Solving Equations
Solve each equation.
2. 10w − 3 = 8w + 5
1. 5x + 4 = 2x + 10
To start, subtract 2x from each side.
To start, subtract 8w from each side.
3. 4(d − 3) = 2d
4. s + 2 − 3s − 16 = 0
Solve each equation. Check your answer.
5. 9(z − 3) = 12z
6. 7y + 5 = 6y + 11
7. 5w + 8 − 12w = 16 − 15w
8. 3(x + 1) = 2(x + 11)
Write an equation to solve each problem.
9. Lisa and Beth have babysitting jobs. Lisa earns $30 per week and Beth earns
$25 per week. How many weeks will it take for them to earn a total of $275?
To start, record what you know.
Describe what you need to find.
Lisa earns $30 per week.
Beth earns $25 per week.
Total earned: $275
an equation to find the number of
weeks it takes to earn $275 together
10. The angles of a triangle are in the ratio 2 : 12 : 16. The sum of all the angles in a
triangle must equal 180 degrees. What is the degree measure of each angle of the
triangle? Let x = the common factor.
11. What two consecutive numbers have a sum of 53?
Determine whether the equation is always, sometimes, or never true.
12. 3(2x − 4) = 6(x − 2)
13. 4(x + 3) = 2(2x + 1)
Prentice Hall Foundations Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
35
Name
Class
1-4
Date
Practice (continued)
Form K
Solving Equations
Solve each formula for the indicated variable.
14. A 
1
bh , for b
2
15. P = 2w + 2l, for w
16. A 
1
h  b1  b2  , for h
2
17. S  2 rh + 2 r 2 , for h
Solve each equation for y.
18. ry − sy = t
20.
y
3n
m
19.
3
( y  2) = g
7
21.
3y 1
=z
2
Solve each equation.
22. (x − 3) − 2 = 6 − 2(x + 1)
23. 4(a + 2) − 2a = 10 + 3(a − 3)
24. 2(2c + 1) − c = −13
25. 8u + 2(u − 10) = 0
26. The first half of a play is 35 minutes longer than the second half of the play. If the
entire play is 155 minutes long, how long is the first half of the play? Write an
equation to solve the problem.
Prentice Hall Foundations Algebra 2 • Teaching Resources
Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.
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