# Algebra 1 Companion Book, Vol 1 – Summer Edition

2.1.4 Solving Multi-Step Equations − Practice

1.  Solve 44 c + 6 − 41 c = 12.

2.  Solve.

3 y − 1 − 9 y = 29

3.  Solve.

4.  Solve.

55 = 9 c + 13 − 2 c

z 32

5 8

13 16

+ =

6.  Solve the equation. a − (10 − a ) = 30

5.  Solve the equation. 2( a − 4) = 20

( Hint: Rewrite a − (10 − a ) as a + − 1(10 − a ) and then use the Distributive Property to simplify.)

8.  Jessie bought 4 balls of wool to knit sweaters for her children, and 5 balls of wool for herself. Then she spent \$9.45 on knitting accessories. The total cost of the wool and the accessories was \$28.71. Write and solve an equation to find the cost of each ball of wool.

7.  If 3 x − (7 − x ) = 29, find the value of 6 x . ( Hint: Rewrite 3 x − (7 − x ) as 3 x + − 1(7 − x ) and then use the Distributive Property to simplify.) 9.  Juan needs to take a taxi to get to the movies. The taxi charges \$3.50 for the first mile, and then \$2.75 for each mile after that. If the total charge is \$18.63, then how far was Juan’s taxi ride to the movie?

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