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Review for Quarter 3 Test 2

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1 Review for Quarter 3 Test 2
XXXVII. Variables and Expressions XXXVIII. Translate Between Words & Math XXXIX. Solving Subtraction Equations XL. Solving Addition Equations XLI. Solving Division Equations XLII. Solving Multiplication Equations XLIII. Solving Two-Step Equations

2 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) ) ) ) ) 20

3 Evaluate when a=4, b=3, and c=1
Evaluate when a=4, b=3, and c=1. 6) 6a ) (a + b) ) a + (b-c) 9) 100-a ) 7(b + c) ) 3a b ab 6) ) ) ) ) ) 4

4 Translate each into a mathematical expression or equation: 12) 5 more than w ) the quotient of n and 12 is 4 14) one-fourth of c ) 7 subtracted from q is 8 16) the sum of 2 and x ) the difference of t and 4 is ) v added to ) the product of s and 2 is 18 12) w ) n = ) 1/4c ) q - 7=8 12 16) 2 + x ) t - 4= ) 8 + v ) 2s = 18

5 Solve algebraically: 20) 8 + x = 17 21) y - 12 = 9 22) 4r = 28 23) t =8 3
x = y = 21 22) 4r = ) (3) t = 8 (3) r = t = 24

6 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 bag Equation: c = Solve: (7) c = 4 (7) c = 28 pieces

7 25) Fran has 7 more pencils than Eric. Fran has 12 pencils
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 = Solve: p + 7 = 12 p = 5 pencils

8 26) Mike can swim 3 times as many laps as Don
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 = Solve: 3s = 21 s = 7 laps

9 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 = Solve y - 7 = 4 y = 11 years old

10 Solve algebraically. 28) 3z – 14 = 58 29) a + 8 = 14 2 30) 6x - 2 = 10 31) n – 3 = 4 5
Answers: 28) 3z – 14 = ) a + 8 = ) 6x - 2 = ) n – 3 = 4 3z = x = (2) a = 6 (2) (5) n = (5) z = a = x = n = 35


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