Review for Quarter 3 Test 2XXXV. Variables and Expressions

XXXVI. Translate Between Words & MathXXXVII. Solving Subtraction Equations

XXXVIII. Solving Addition EquationsXXXIX. Solving Division & Multiplication

EquationsXL. Combining Like Terms

XLI. Solving Two-Step EquationsXLII. Inequalities

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

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) 3a2

b ab

1) 27 2) 2 3) 6 4) 32 5) 28 6) 4

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=8 125) 2 + x 6) t - 4=11 7) 8 + v 8) 2s = 18

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

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 bagEquation: c = 4 Solve: (7) c = 4 (7)

7 7

c = 28 pieces

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

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

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

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

Combine like terms.1) 3h + 5x -7h + 2x 2) 3n2 – 9n + n3 + 6n – 8 n2

3) 18y3 + 7y2 – 4y3 – y3 + y2

Answers: 1) -4h + 7x 2) n3 – 5n2 – 3n 3) 13y3 + 8y2

Solve algebraically. Then graph the solution set on the number line.1) x < 4 2) n + 6 > 17 5

Answers:1) -----|-------|-------|-------|-------|-------|----- 16 17 18 19 20 21

2) -----|-------|-------|-------|-------|-------|----- 11 12 13 14 15 16