2.1 Review Worksheet, Part 1
2.1.1 Solving Linear Equations and Inequalities 1. A pen floating in the weightlessness of space is 30 inches above the floor of the space capsule and is rising at 1.5 inches per second. In how many seconds will it reach the 6-foot-high ceiling?
Solve. 2. − 30 = 6( x − 3)
3. 5( x − 8) − ( x + 6) = 18
4. 2( x + 4) − 5( x − 3) = 32
1 3
5.
6. 3 x − 8(3 − x ) = 53
7. 6 n − 7 = 2 n + 17
− = x (2 7) 4
− = + n n 3 40 1 2
8.
9. 5( x − 4) − 1 = − 7 x + 3
10. 12 x + 20 = 6( x + 4)
35
+ + = +
2 3
11. 8 t + 11 − 6 t = 5 t + 35
12.
13. 8 = − 8 x + 4(4 + 2 x )
x x x 2 4( 1) 6
14. − 4(2 n − 5) = − 8 n − 20
15. 9(3 − 2 x ) = − 6(3 x − 5)
16. 4 x − 2(3 + 2 x ) = − 6
Solve and graph. 17. − 3 x + 8 ≤ 14
18. 3( x − 1) > 7( x + 3)
19. 5( x − 2) ≥ 4(2 x + 6) + 2
107
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