Review for Quarter 3 Test 2

XXXVII. Variables and ExpressionsXXXVIII. Translate Between Words & Math

XXXIX. Solving Subtraction EquationsXL. Solving Addition EquationsXLI. Solving Division Equations

XLII. Solving Multiplication EquationsXLIII. Solving Two-Step Equations

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.

6) 6a +3 7) (a + b) -5 8) a + (b-c)

9) 100-a 10) 7(b + c) 11) 3a2

b ab

6) 27 7) 2 8) 6 9) 32 10) 28 11) 4

Translate each into a mathematical expression or equation:12) 5 more than w 13) the quotient of n and 12 is 4

14) one-fourth of c 15) 7 subtracted from q is 8

16) the sum of 2 and x 17) the difference of t and 4 is 11

18) v added to 8 19) the product of s and 2 is 18

12) w + 5 13) n = 4 14) 1/4c 15) q - 7=8 1216) 2 + x 17) t - 4=11 18) 8 + v 19) 2s = 18

Solve algebraically:20) 8 + x = 17 21) y - 12 = 9 22) 4r = 28 23) t =8 3

20) 8 + x = 17 21) y - 12 = 9 -8 -8 +12 +12 x = 9 y = 21

22) 4r = 28 23) (3) t = 8 (3) 4 4 3 r = 7 t = 24

Problem Solving: 24) 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

25) 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

26) 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

27) Molly is 7 years younger than her cousin Emma. Molly 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

Solve algebraically.28) 3z – 14 = 58 29) a + 8 = 14 2 30) 6x - 2 = 10 31) n – 3 = 4 5

Answers:28) 3z – 14 = 58 29) a + 8 = 14 30) 6x - 2 = 10 31) 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