Extra Practice Problems Solving multi-­‐step equations: 1. 3x + 2 = -­‐19 2. 4y-­‐7=21 3.
!
4.
!
!
!
𝑔 + 5 = 8 !
!"
!
!
+ 𝑥 + 𝑥 = Solving for variables on both sides 5. 2a - 15 = 2(a – 3)
7. 4(t + 5) - 3 = 6t – 13 6. 5t + 7 = 4t + 9 8. 3w-7= 2 (2w -4) – w + 1 Solving Literal Equations !
9. 𝑞 = for r 11. P = 2L + 2W for L !
10.
12. -­‐5y + 15 = 3x for y !
𝑎 = 𝑏ℎ for b !
Solving Absolute Value Equations 13. | x + 13 | + 7 = 18 14. | x + 1 | + 6 = 3 15. -­‐2| x – 7 | – 4 = -­‐22 16. 5| 4x – 2 | + 15 = 15
Word Problems 1. 3 consecutive even integers have a sum of 96. What are the three integers? 2. The temperature averaged 40 degrees last month. Temperatures were about 10 degrees warmer or colder. Write and solve an absolute value equation to represent the situation. 3. Scores on the final exam averaged 85%. The scores were about 7% higher or lower. Write an absolute value equation to represent the situation. 4. The cost of renting a bike is $10 to take the bike and $4 for every hour it spends in our possession. The final sum Janice paid is $30. Let us write that down as an equation.