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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