Solving Equations: Part I:

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Name
Alg1
September 30, 2013
Punishment Assignment
Solving Equations:
Part I:
1) ⅝ x + 11 = - 4
2) 45 - ¾ x = - 9
3) ⅔ x - 120 = 80
4) 54 - ⅜ x = 63
5) 7(4x + 3) – 8(3x - 2) = -3
6) 6(5x - 1) = 4(10x + 16)
FAILURE TO SERVE DETENTION
1
Name
Alg1
September 30, 2013
Punishment Assignment
7) 9(6x + 3) + 8(2x - 11) = -271
8) 6(6x + 1) = 19(3x - 3)
9) 3(8x + 6) = 8(4x + 2)
10) 5(11x – 5) – 7(9x - 2) = 37
11) 10(5x + 15) = 7(8x + 12)
12) 4(8x + 3) – 6(7x - 8) = 35
Answer Key:
1) x = -24
2) x = 72
7) x = -3
8) x = 3
3) x = 300
9) x = 1/4
4) x = -24
10) x = -6
5) x = -10
11) x = 11
FAILURE TO SERVE DETENTION
6) x = -7
12) x = -2.5
2
Name
Alg1
September 30, 2013
Punishment Assignment
Part II:
Show all work:
1) ⅜ x + 91 = 67
2) 43 - ⅔ x = 81
3) ¾x - 84 = 9
4) 54 - ⅝ x = -1
5) 6(4x + 3) – 8(4x - 2) = 106
6) 3(4x – 5) = 5(2x - 1)
FAILURE TO SERVE DETENTION
3
Name
Alg1
September 30, 2013
Punishment Assignment
7) 8(8x + 3) + 9(4x - 2) = 306
8) 5(6x – 5) = 19(2x - 3)
9) 3(10x - 7) = 11(2x + 1)
10) 8(11x – 5) – 9(10x - 2) = 8
11) 6(3x + 5) = 7(2x + 2)
12) 9(8x + 3) – 8(6x - 2) = -5
Answer Key:
1) x = -64
2) x = -57
7) x = 3
8) x = 4
3) x = 124
9) x = 4
4) x = 88
10) x = -15
5) x = -9
11) x = -4
FAILURE TO SERVE DETENTION
6) x = 5
12) x = -2
4
Name
Alg1
September 30, 2013
Punishment Assignment
Properties:
Do On Sheet
Complete the Matching Column (put the corresponding letter next to the number)
1) 4(7 +2) = 4(7) + 4(2)
a) Reflexive
2) 6 + (1 + 8) = (6 +11) + 8
b) Additive Identity
3) If 32 + 4 = 36 and 36 = 62, then 32 + 4 = 62
c) Multiplicative identity
4) 19 + 3 = 3 + 19
d) Associative Property of Multiplication
5) 32  1 = 32
e) Transitive
6) 26 +0 = 26
f) Associative Property of Addition
7) If 32 = 64 2, then 64 2 = 32
g) Symmetric
8)6 ∙ 9 = 6 ∙ 9
h) Commutative Property of Multiplication
9) 6 + (2 + 12) = (6 + 2) + 12
I) Multiplicative property of zero
10) 22  0 = 0
J) Distributive
Order of Operations:
1) 48 + 11 · (-3) - 17 =
2) Evaluate: (-9)2 - 62 ÷ ( ¼ ) - 80 ÷ (-2)3 =
FAILURE TO SERVE DETENTION
5
Name
Alg1
September 30, 2013
Punishment Assignment
3) Evaluate when a = -6, b = 2, and c = -9
20b + 12a ÷ (4c) + 4a .
3a2 – (c2 + 5ab) + 3c + a
FAILURE TO SERVE DETENTION
6
Name
Alg1
September 30, 2013
Punishment Assignment
4) Evaluate: 200 - 72 ÷ ( ¼ ) - 40 ÷ (-2)3 =
5) Evaluate when a = -5, b = -3, and c = 8
a2 + (12b – 12) ÷ (2c) + 4a - b .
4b2 + 2b + 10c ÷ (2b + 1)
FAILURE TO SERVE DETENTION
7
Name
Alg1
September 30, 2013
Punishment Assignment
Word Problems:
1) A snack stand at Yankee Stadium sells sodas for $4.00 and hot dogs for $7.50. During one
game the stand sold 6 more hot dogs than triple the sodas. If the total sales for sodas and hot
dogs were $3,755; how many of each item were sold?
2) A phone call cost $3.98. Introductory minutes cost $.22/min and additional minutes are
$.14/min. If there were 5 less additional minutes than quadruple the introductory minutes, how
many minutes were billed at each rate?
FAILURE TO SERVE DETENTION
8
Name
Alg1
September 30, 2013
Punishment Assignment
3) Sally’s cell phone company’s daytime rate is $.18/minute and nighttime rate (after 7:00 PM) is
$.11/minute. When she got her bill she saw a 42-minute phone call that cost $5.53. What time
did the call begin? What time did it end? (Hint: you still need to find how many minutes were
billed at each rate).
4) A store sells workbooks for $7.50 and textbooks for $42.25. Last weekend the store sold 10
less textbooks than 3 times the amount of workbooks and the sales were $14,747.75. How many
of each were sold?
FAILURE TO SERVE DETENTION
9
Name
Alg1
FAILURE TO SERVE DETENTION
September 30, 2013
Punishment Assignment
10
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