1.5 Multi-step Equations
Name ______________________________
Learning Objective: A.SSE.2 I will rewrite an expression using distribution
A.SSE.2
I will rewrite an expression by combining like terms
A.REI.3
I will solve a linear equation that involves combining like terms
A.REI.3
I will solve a linear equation that involves distribution
A.REI.1
I will explain each step in solving an equation with combining like terms
A.REI.1
I will explain each step in solving an equation with distribution
Simplify the left side first. Then solve these equations and inequalities by showing all work.
Lastly, look at the bottom list of answers to see if you have a match.
Round to nearest tenth if necessary.
1. 7x + 4x = 33
2. 8k – k > 28
3. 4n + 17n < 42
4. 8y – 3y – 1 = 24
5. 15m – 12 – 12m = 16
6. –5 – 4r + 17r = 73
7. 11k – 19k = 24
8. –7 + 2k – 3k < 0
9. k – 7 – 9k = 5
10. 5(n – 3) > –15
11. –2(4w + 2) + 7 = 35
12. 3(2n + 1) + 5 > 68
13. 2(2n + 3) – 5 = 33
14. 2(2x + 3) + 1 < 20
15. 6w + 3(w – 1) = 17
16. –3(m – 3) – 2m < 12
17. 2(x + 1) – 13x < 15
18. 2(4x + 1) + 4x = 14
For each problem, write a simplified equation and solve it for x.
19.
perimeter = 50 mm
21. Area = 30 in2
20. perimeter = 44 ft
Here are the scrambled answers: –7, –4, –3, –1.5, –1.2, –.6, 0, 1, 2, 2.2, 3, 3.3, 4, 5, 6, 8, 9.3, 10
1) x = 3
3) n < 2
5) n = 9.3
19) 4x + 20 = 50, x = 7.5
7) k = –3
9) k = –1.5
21) 5(x + 2) = 30, x = 4
11) w = –4
13) n = 8
15) w = 2.2
17) x > –1.2