2. XXXV. Variables and Expressions XXXVI. Translate Between Words & Math XXXVII. Solving Subtraction Equations XXXVIII. Solving Addition Equations XXXIX. Solving Division & Multiplication Equations XL. Combining Like Terms XLI. Solving Two-Step Equations XLII. Inequalities

3. Evaluate when a=10, b=22, c=14 and d=8 1) a + 3 2) 21 - c 3) 5a 4) 44 5) ad b a-6 1) 13 2) 7 3) 50 4) 2 5) 20

4. Evaluate when a=4, b=3, and c=1. 1) 6a +3 2) (a + b) -5 3) a + (b-c) 4) 100-a 5) 7(b + c) 6) 3a 2 b ab 1) 27 2) 2 3) 6 4) 32 5) 28 6) 4

5. Translate each into a mathematical expression or equation: 1) 5 more than w 2) the quotient of n and 12 is 4 3) one-fourth of c 4) 7 subtracted from q is 8 5) the sum of 2 and x 6) the difference of t and 4 is 11 7) v added to 8 8) the product of s and 2 is 18 1) w + 5 2) n = 4 3) 1/4c 4) q - 7=8 12 5) 2 + x 6) t - 4=11 7) 8 + v 8) 2s = 18

6. Solve algebraically: 1) 8 + x = 17 2) y - 12 = 9 3) 4r = 28 4) t =8 3 1) 8 + x = 17 2) y - 12 = 9 -8 -8 +12 +12 x = 9 y = 21 3) 4r = 28 4) (3) t = 8 (3) 4 4 3 r = 7 t = 24

7. Problem Solving: Frank has a bag of candy which he will share with his 6 friends. Each person (including himself) will receive 4 pieces. Write and solve a division equation which will show how many pieces of candy Frank has in the bag. Be sure to write a let statement. Answer: let c = pieces of candy in bag Equation: c = 4 Solve: (7) c = 4 (7) 7 c = 28 pieces

8. Fran has 7 more pencils than Eric. Fran has 12 pencils. Write and solve an addition equation to show how many pencils Eric has. Be sure to write a let statement. Answer: let p = pencils Eric has Equation: p + 7 = 12 Solve: p + 7 = 12 - 7 - 7 p = 5 pencils

9. Mike can swim 3 times as many laps as Don. If Mike swims 21 laps, how many laps will Don swim? Write and solve a multiplication equation. Be sure to write a let statement. Answer: let s = # of laps Don will swim Equation: 3s = 21 Solve: 3s = 21 3 3 s = 7 laps

10. Solve algebraically. 1) 3z – 14 = 58 2) a + 8 = 14 2 3) 6x - 2 = 10 4) n – 3 = 4 5 Answers: 1) 3z – 14 = 58 2) a + 8 = 14 3) 6x - 2 = 10 4) n – 3 = 4 +14 +14 2 +2 +2 5 3z = 72 -8 -8 6x = 12 +3 +3 3 3 (2) a = 6 (2) 6 6 (5) n = 7 (5) z = 24 2 5 a = 12 x = 2 n = 35

11. Mary is 7 years younger than her cousin Emma. Mary is 4 years old. Write and solve a subtraction equation to find how old Emma is. Answer: let y = Emma’s age Equation: y - 7 = 4 Solve y - 7 = 4 +7 +7 y = 11 years old

12. Combine like terms. 1) 3h + 5x -7h + 2x 2) 3n 2 – 9n + n 3 + 6n – 8 n 2 3) 18y 3 + 7y 2 – 4y 3 – y 3 + y 2 Answers: 1) -4h + 7x 2) n 3 – 5n 2 – 3n 3) 13y 3 + 8y 2

13. Solve algebraically. Then graph the solution set on the number line. 1) x 17 5 Answers: 1)  -----|-------|-------|-------|-------|-------|-----  16 17 18 19 20 21 2)  -----|-------|-------|-------|-------|-------|-----  11 12 13 14 15 16