Math 7 Unit 2 Post Test Paul started

Math 7 Unit 2 Post Test

Paul started the summer with $10. Each time he mowed a lawn, he was paid $20. At the end of the summer his Aunt gave him a bonus of $30. Write an equation for his total funds, then solve the equation for mowing 16 lawns. 1. Equation: A. ) f = $20 m + 30 B. ) f = $10 m + 20 C. ) f = $20 m + 40 D. ) f = $10 m + 50

Question: Paul started the summer with $10. Each time he mowed a lawn, he was paid $20. At the end of the summer his Aunt gave him a bonus of $30. Write an equation for his total funds, then solve the equation for mowing 16 lawns. 2. Solve for 16 lawns A. ) $360 B. ) $400 C. ) $320 D. ) $160

Answers to #1 and #2: m = # lawns mowed f = total funds Equation: $10 + $20 m + $30 = f final answer: C. f = $20 m + 40 Total for 16 lawns: A. $360 20(16) + 40 = f $320 + 40 = f $360 = f

3. Write an equation for the following: Sally’s age (s) is twice Mary’s age (m) plus 5 years. A. ) s = 2 m + 5 B. ) m = 2 s + 5 C. ) s = 5 m + 2 D. ) s = 2 m – 5

Answer to #3 A. s = 2 m + 5

4. Translate: twice the sum of a number and four A. ) 2 n + 4 B. ) 2(n – 4) C. ) 2(n + 4) D. ) 2● 4 + n

Answer to #4: Twice means multiply by 2 It is twice the SUM so that means put grouping symbols around numbers being added Sum means add Answer: C. 2(n+4)

#5. Translate: five less than triple as many marbles A. ) 3(m – 5) B. ) 3(5 – m) C. ) 5 – 3 m D. ) 3 m – 5

Answer to #5: Five less than means subtract 5 Triple means multiply by 3 Answer: D. 3 m – 5

6. Name the property: (7 ● 3) + y = (3 ● 7) + y A. ) Commutative property of addition B. ) Commutative property of multiplication C. ) Associative property of addition D. ) Associative property of multiplication

Answer to #6: Even though there are grouping symbols, they didn’t change. The order of the numbers being multiplied changed. Answer: B. Commutative property of multiplication

7 - Evaluate the following expression if a = 3, b = 4 and c = 6 2(a + c) - ab A. ) 6 B. ) 60 C. ) 0 D. ) 30

Answer to #7: 2(3 + 6) – 3 ● 4 = 2 ● 9 – 12 = 18 – 12 = A. 6

8 - Solve: 2(4 b – 6) = 20 A. ) 1 B. ) 4 C. ) 3 ¼ or 3. 25 D. ) 5 ¼ or 5. 25

Answer to #8: 2(4 b – 6) = 20 8 b – 12 = 20 + 12 8 b = 32 ÷ 8 b=4 Answer: B. 4

9 - Simplify: 3(6 – 9 a) A. ) -9 a B. ) 18 – 9 a C. ) 6 – 27 a D. ) 18 – 27 a

Answer to #9: Multiply the 3 by both terms in the parentheses Answer: D. 18 – 27 a

10 - Solve: A. ) 2 B. ) ½ C. ) 7200 D. ) 60

Answer to #10: Make into a proportion 60● 1 = 120 x cross multiply 60 = 120 x ÷ 120 ½=x Answer: B. ½

11 - Solve: 3 x – 4 = x + 10 A. ) 7 B. ) 3 C. ) 3 ½ D. ) 1 ½

Answer to #11: 3 x – 4 = x + 10 -x -x 2 x – 4 = 10 +4 +4 2 x = 14 ÷ 2 x=7 Answer: A. 7