Solving Two-Step Algebraic Equations

Dude pays $19 for 2 t-shirts and a pair of sunglasses. How much does dude pay for each t-shirt?
1.2t + 3=$19
If the sunglasses cost $7 how much are the t-shirts?
2t + 7 =$19
-7 -7
2t + 12
─ ─
2 2
t=6

Check answer:
2(6) +7 = 19
12 +7=19
19+19

Chick saw a sign ,buy two pants and get socks for 4 pairs of socks. If she pays $30 for 2 pants and 4 socks.What is the price of a pair of pants?
Model using blocks on a scale




For short:
2p + 8 = 30
-8 -8
2p + 22
─ ─
2 2
p= 11

Check your answer:
2p+8= 30
2(11) +8+30
22 + 8 = 30
30=30



Now try these:
3w+ 3 =6 2n +4= 10
-3 -3 -4 -4
3w +3 2n = 6
─ ─ ─ ─
3 3 2 2
w = 1 n = 3

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