MultiStep Equations and Inequalities - 3Sets.pdf
- 1. ID: 1
Geometry Name___________________________________
MultiStep Equations and Inequalities Date________________ Period____
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Solve each equation.
1) 7(1 + 2r) = 119 2) 8(−n + 5) = 96
3) −(6 x − 8) − 6 x = 104 4) −3(−1 + 6b) − 5 = −146
5) 6 + 7v = −3 + v + 3 + 5v 6) 7 x − 8 = 5 x + 8
7) −6( x − 2) = x + 40 8) 14 + 4n = 4n − 7(n + 6)
9) −5(a + 6) = −4a − 31 10) −4(k + 6) − 2 = −40 + 3k
Solve each inequality and graph its solution.
11) −22 ≤ 3k + 8k 12) −2 > 1 − 8n − 3
−7 −6 −5 −4 −3 −2 −1 0 −5 −4 −3 −2 −1 0 1 2 3 4 5
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- 2. 13) p + 7 − 4 p < 7 14) 20 ≥ 4 + 8 x − 8
−5 −4 −3 −2 −1 0 1 2 3 4 −2 −1 0 1 2 3 4 5
15) 1 − 3(1 − 5n) < −92 16) −164 ≤ −4(1 − 5 x)
−10 −9 −8 −7 −6 −5 −4 −13 −12 −11 −10 −9 −8 −7 −6 −5 −4
17) −3(−6r − 6) + 5r ≤ −97 18) −214 ≥ −5(5 − 6m) − 3m
−9 −8 −7 −6 −5 −4 −3 −12 −11 −10 −9 −8 −7 −6 −5 −4
19) 8(−6 x + 2) − 8 ≤ −35 − 5 x 20) 7(3 − 6n) > 6n − 27
−2 −1 0 1 2 3 4 5 −2 −1 0 1 2 3 4 5
21) −3(1 + v) ≥ 4v + 11 22) −8(6b + 5) − 2b ≤ −40 − b
−6 −5 −4 −3 −2 −1 0 −3 −2 −1 0 1 2 3 4
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- 3. Answers to MultiStep Equations and Inequalities (ID: 1)
1) {8} 2) {−7} 3) {−8} 4) {8}
5) {−6} 6) {8} 7) {−4} 8) {−8}
9) {1} 10) {2} 11) k ≥ −2 :
−7 −6 −5 −4 −3 −2 −1 0
12) n > 0 : 13) p > 0 :
−4 −2 0 2 4 −5 −4 −3 −2 −1 0 1 2 3 4
14) x ≤ 3 : 15) n < −6 :
−2 −1 0 1 2 3 4 5 −10 −9 −8 −7 −6 −5 −4
16) x ≥ −8 : 17) r ≤ −5 :
−12 −10 −8 −6 −4 −9 −8 −7 −6 −5 −4 −3
18) m ≤ −7 : 19) x ≥ 1 :
−12 −10 −8 −6 −4 −2 −1 0 1 2 3 4 5
20) n < 1 : 21) v ≤ −2 :
−2 −1 0 1 2 3 4 5 −6 −5 −4 −3 −2 −1 0
22) b ≥ 0 :
−3 −2 −1 0 1 2 3 4
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- 4. ID: 2
Geometry Name___________________________________
MultiStep Equations and Inequalities Date________________ Period____
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Solve each equation.
1) −3(8a + 2) = 162 2) −87 = −6(2 + 3k) − 3
3) 8(7 + x) + 2 x = 96 4) 84 = 3(−4 x − 4)
5) 8 x + 6 = 10 + 7 x 6) 4 + 8 p = 7 p + 4 − 7
7) 5r − 6 = −7(r + 7) − 5 8) −8(m + 7) = −26 + 7m
9) −5( x + 7) = −19 − 7 x 10) −7(n + 7) = −7 + 7n
Solve each inequality and graph its solution.
11) −16 ≤ 2v − 4v 12) 1 + 4n + 5 > 14
3 4 5 6 7 8 9 10 11 12 13 −2 −1 0 1 2 3 4
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- 5. 13) 8 − 6b − 2 ≥ −6 14) 0 < 8 + 4 x − 2 x
−2 −1 0 1 2 3 4 5 6 −9 −8 −7 −6 −5 −4 −3 −2 −1 0 1
15) 8(6 x − 3) > 264 16) −138 ≥ 2(8k − 5)
1 2 3 4 5 6 7 8 −12 −11 −10 −9 −8 −7 −6 −5
17) −330 > −6(6 − 7n) 18) 136 < −2 − 6(1 − 4a)
−12 −11 −10 −9 −8 −7 −6 −5 −4 −3 1 2 3 4 5 6 7 8 9 10 11
19) −6(6 x + 5) + 4 ≥ 17 + 7 x 20) 28 − 8n ≤ −(3n + 2)
−4 −3 −2 −1 0 1 2 3 4 5 6 7 8
21) −3m + 34 ≥ −2(−5m − 7) − 6 22) 2 + 2 p > −5(−6 − 6 p)
−1 0 1 2 3 4 5 −3 −2 −1 0 1 2
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- 6. Answers to MultiStep Equations and Inequalities (ID: 2)
1) {−7} 2) {4} 3) {4} 4) {−8}
5) {4} 6) {−7} 7) {−4} 8) {−2}
9) {8} 10) {−3} 11) v ≤ 8 :
4 6 8 10 12
12) n > 2 : 13) b ≤ 2 :
−2 −1 0 1 2 3 4 −2 −1 0 1 2 3 4 5 6
14) x > −4 : 15) x > 6 :
−8 −6 −4 −2 0 1 2 3 4 5 6 7 8
16) k ≤ −8 : 17) n < −7 :
−12 −10 −8 −6 −12 −10 −8 −6 −4
18) a > 6 : 19) x ≤ −1 :
2 4 6 8 10 −4 −3 −2 −1 0 1 2
20) n ≥ 6 : 21) m ≤ 2 :
3 4 5 6 7 8 −1 0 1 2 3 4 5
22) p < −1 :
−3 −2 −1 0 1 2
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- 7. ID: 3
Geometry Name___________________________________
MultiStep Equations and Inequalities Date________________ Period____
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Solve each equation.
1) 7(7m − 4) = 266 2) −6(7 − 8n) = 342
3) 110 = −2(1 − 8r) 4) −4(1 − 6 x) − 8 = 156
5) 2 x = 5 + x 6) 2 + n = 5n − 2n
7) −5(4b − 2) = −3b + 10 8) −5 x − 8( x + 7) = 14 − 3 x
9) −33 − 8 x = −7( x + 5) 10) −10 − 7v = −2(6v − 5)
Solve each inequality and graph its solution.
11) 1 + 4 p + 5 p ≤ 10 12) 2 − k + 5 < 11
−4 −3 −2 −1 0 1 2 3 4 5 −8 −7 −6 −5 −4 −3 −2 −1 0
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- 8. 13) 1 > 1 + 5 x + x 14) −6 ≤ −7a + a
−4 −3 −2 −1 0 1 2 3 4 −4 −3 −2 −1 0 1 2 3
15) −98 < −7(r + 6) 16) −2(6 + 7n) ≤ 86
5 6 7 8 9 10 11 −11 −10 −9 −8 −7 −6 −5
17) 170 ≤ −5(1 − 5 x) 18) 3 − 5(6 + 8m) > −307
4 5 6 7 8 9 3 4 5 6 7 8 9
19) −(−4b + 5) ≥ 2b − 3 20) 12 − 3n < 2(−4n − 4)
−4 −3 −2 −1 0 1 2 3 4 5 6 −9 −8 −7 −6 −5 −4 −3 −2
21) −2 − 2 x > −8(8 + 8 x) 22) −4 − 5(6 + 7v) ≤ −34 − 3v
−3 −2 −1 0 1 2 −3 −2 −1 0 1 2 3
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- 9. Answers to MultiStep Equations and Inequalities (ID: 3)
1) {6} 2) {8} 3) {7} 4) {7}
5) {5} 6) {1} 7) {0} 8) {−7}
9) {2} 10) {4} 11) p ≤ 1 :
−4 −3 −2 −1 0 1 2 3 4 5
12) k > −4 : 13) x < 0 :
−8 −7 −6 −5 −4 −3 −2 −1 0 −4 −3 −2 −1 0 1 2 3 4
14) a ≤ 1 : 15) r < 8 :
−4 −3 −2 −1 0 1 2 3 5 6 7 8 9 10 11
16) n ≥ −7 : 17) x ≥ 7 :
−11 −10 −9 −8 −7 −6 −5 4 5 6 7 8 9
18) m < 7 : 19) b ≥ 1 :
3 4 5 6 7 8 9 −4 −2 0 2 4 6
20) n < −4 : 21) x > −1 :
−9 −8 −7 −6 −5 −4 −3 −2 −3 −2 −1 0 1 2
22) v ≥ 0 :
−3 −2 −1 0 1 2 3
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