Download Math 6/7 UNIT 5 TEST STUDY GUIDE

Name: _____________________________
Test Date: ______________________
Math 6/7 UNIT 5 TEST STUDY GUIDE
Name the property shown by each statement.
WORD BANK:
Commutative Property of Multiplication
Associative Property of Multiplication
Multiplicative Inverse
Additive Identity
Distributive Property
Commutative Property of Addition
Associative Property of Addition
Additive Inverse
Multiplicative Identity
Multiplicative Property of Zero
1)
9 + (-9) = 0
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2)
(5)(x − 4) = (x−4)(5)
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3)
876 + 0 = 876
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4)
48 + (4 + 22) = (48 + 4) + 22
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5)
(9x)(1) = 9x
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6)
z(0) = 0
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7)
3(3 + y) = 9 +3y
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8)
(13 + 8) + 25 = (8 + 13) + 25
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9)
8• =1
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10)
(6 • 2) • 7 = 6 • (2 • 7)
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Rewrite the problems using the property indicated at the right.
11)
7 + (3 + 38)
=
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Associative Property Addition
12)
5 •17 • 2
=
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Commutative Property of Multiplication
13)
−5 + (– 56)
=
___________________
Commutative Property of Addition
14)
(23 • 9) • 6
=
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Associative Property of Multiplication
15)
4(x - 12)
=
___________________
Distributive Property
Use the Distributive Property to re-write each expression as an equivalent expression.
Then simplify the expression.
16)
2(y + 8)
17)
-5(p – 5)
18)
(a – 6)9a
Solve.
19)
22)
20)
2[-43(3 + 4)]
6[(12 + 6) ÷ 3]
23)
25) Identify the student’s first error if an error exists; then solve the problem.
Name:
Josie
6 + 4 · 22 – 4
6+4·4–4
10 · 4 - 4
40 – 4 = 36
21)
24)
(4 + 8)2 – 9
-6
2(5 - 4) - 1
Use the word bank on the right to fill in the spaces below.
26) A ________________________ is the numerical factor attached to a variable.
27) The 7 in the following 4h + y + 7 is an example of a(n) __________________________.
28) The answer to an addition problem is called the
__________________________.
29) What is the answer to a division problem called?
__________________________.
30) In the following: 2t + 3k = 8 the k is the
__________________________.
Coefficient
Sum
Product
Difference
Constant
Variable
Expression
Quotient
31) What is the answer to a multiplication problem called? _________________________.
32) The following: g + 5b – 4 is an example of a(n)
__________________________.
33) The answer to a subtraction problem is called the
__________________________.
List the terms, coefficients, variables, and constants for the following algebraic expressions
34)
-x + y + 7z
35)
Terms:
__________________
2a + 3b – 9
Terms:
___________________
Coefficients: ___________________
Coefficients: ___________________
Variables:
___________________
Variables:
___________________
Constants:
___________________
Constants:
___________________
Evaluate each expression if
x = 4, y = 7, and z = –2.
36)
37)
4z2+ 2y2 - x
38)
z + (–3x + 3y)
40)
-2y + (z + 4y)
41)
√
39)
y + |zx|
Translate each algebraic expression or equation into a verbal phrase.
42) 12h + 3
43)
= 28
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44) 3(n – 9)
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45) 7 + 5m = 7
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46) 2(z – 7)
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Translate the following verbal phrase into an algebraic expression.
47) 12 less than the quotient of a number and eight.
________________________
48) The product of a number ‘z’ and six decreased by twenty-four.
________________________
49) Seven less than the product of a number ‘p’ and nine increased by one.
________________________
50) Double the sum of a number and three.
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 Challenge:
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Study ALL NOTES, Warm-Ups, Check-Ups, Homework & this Study Guide to PREPARE for the Unit 5 TEST