2.1.1 Solving Linear Equations and Inequalities - Worksheet
Example 1: 1. Shanti has just joined a DVD rental club. She pays a monthly membership fee of $4.95, and each DVD rental is $1.95. If Shanti’s budget for DVD rentals in a month is $42, how many DVDs can Shanti rent in her first month if she doesn’t want to go over her budget?
Example 2: Solve. 2. 8( x − 5) = 72
3. 1.5( x − 4) = 9.6
4. − 27 = 3( x − 3)
Example 3: Solve. 5. 5 − 4 c = c + 20
6. 24 + 7 x = − 4 x − 9
7. 3( x − 5) = 5 x + 9
8. x = − 2( x − 3)
9. ( t − 3)7 = 6 t + 21
10. − 0.5( r − 2) = − r − 2
Example 4: Solve. 11. − 4 t + 1 = 3 t + 1 − 7 t
12. 2(3 x + l) = 3(2 x + l)
13. 2(3 n + 3) − 9 = 6 n
14. 2 h + 4 − 5 h = ‒3 h + 4
15. 4(2 − 6 m ) = 6(2 − 4 m )
16. 0.5( − 8 p + l) = − 4 p + 1
Example 5: Solve and graph. 17. 5 x − 12 > 8
18. 62 − 18 x < 20
19. 23 + 3 x ≤ 15 − x
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