2.1.5 Solving Equations with Variables on Both Sides − Worksheet
Example 1:
Solve each equation. Check your answer.
1. 2 c − 5 = c + 4
2. 8 r + 4 = 10 + 2 r
3. 2 x − 1 = x + 11
4. 28 − 0.3 y = 0.7 y − 12
Example 2:
Solve each equation. Check your answer.
5. − 2( x + 3) = 4 x − 3
6. 3 c − 4 c + 1 = 5 c + 2 + 3
7. 5 + 3( q − 4) = 2( q + 1)
8. 5 − ( t + 3) = − 1 + 2( t − 3)
Example 3:
Solve each equation. Check your answer.
9. 7 x − 4 = − 2 x + 1 + 9 x − 5
10. 8 x + 6 − 9 x = 2 − x − 15
11. 6 y = 8 − 9 + 6 y
12. 6 − 2 x − 1 = 4 x + 8 − 6 x − 3
Example 4: 13. A house-painting company charges $376 plus $12 per hour. Another painting company charges $280 plus $15 per hour. a. How long is a job for which both companies will charge the same amount?
b. What will that cost be?
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