Math Homework

Please answer all the following questions below and show all work for each question

Thanks so much

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Foundations for Algebra – Chapter 1 Test Review
32 Questions
DATE:
1.
What is an algebraic expression for this word phrase?
The quotient of a number and seven
a) 5n
b) 5+n
c) n – 7
d) n/7
2.
What is the algebraic expression for this word phrase?
74 less than a number
a) n + 25
b) n – 74
c) 74-n
3.
What is an algebraic expression for this word phrase?
Five times a number
a) 5n
b) 5+n
c) n – 7
d) n/7
4.
What is an algebraic expression for this word phrase?
4 more than twice a number x
a) 4 + 2x
b) 2(x + 4)
c) 4(2x)
5.
What is an algebraic expression for this word phrase?
the product of 9 and the sum of a number x and 2
a) 9(x + 2)
b) 9x + 2
6.
The table shows how the cost of renting a scooter depends on how
long the scooter is rented. What is a rule for the total cost? Give
the rule in words and as an algebraic expression.
Hours Cost
1 $17.50
2 $25.00
3 $32.50
4 $40.00
5 $47.50
a) Multiply the number of
hours by 7.5 and add 10;
7.5n + 10
b) Multiply the number of
hours by 10 and add 7.5;
10n + 7.5
7.
What is the simplified form of this expression?
(0.2)4
a) 0.8
b) 0.16
c) 0.0008
d) 0.0016
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8.
Work required
What is the value of this expression when
X = 3 and y = 4
x2 + 2x + 16 + y2
a) 16
b) 31/16
9.
What is the simplified form of this expression?
25+ (11 + 4) = 5
Work required
a) 35
b) 15
c) 55
10.
Which property is illustrated by this statement?
31.0=0
a) Zero Property of
Multiplication
b) Associative Property of
Addition
c) Associative Property of
Multiplication
d) Identity Property of Addition
11.
Which property is illustrated by this statement?
5x + 0 = 5x
a) Zero Property of
Multiplication
b) Associative Property of
Addition
c) Associative Property of
Multiplication
d) Identity Property of Addition
12.
Which property is illustrated by this statement?
(x + 3) + 6 = x + (3 + 6)
a) Zero Property of
Multiplication
b) Associative Property of
Addition
d) Identity Property of Addition
c) Associative Property of
Multiplication
13.
A movie ticket costs $6.75. A drink costs $1.90. Popcorn costs
$2.25. What is the total cost for a trip to the movies? Use what you
know about the properties to answer quickly.
a) $10.80
b) $10.90
C) $11.00
d) $11.10
14.
What is the simplified form of this expression?
4(8n)
a) 12n
b) 32n
15. What is the simplified form of this expression?
(3 + 5b) + 7
a) 8b + 7
) b) 10 + 5b
16.
What is the simplified form of this expression?
8xy/2x
b) 4x
a) 4xy
c) 4y
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17. Simplify: -3(2-5)
a) -6c – 15
b) -6c + 15
c) 6c + 15
d) 60 – 15
18. -(x + 4)
a) -X-4
b) -x + 4
c) -x + 5
d) -X – 5
19.
6(x + 1) – 5(x + 2) Work required
a) 2x + 8
b) x – 4
20.
Work required
–
a) 1/12
b) 1
1
C) 2/35
d) 23/25
21.
8
4
What is the value ofwhen x =
and y
=
Work required
y
10
3
a) 12
b)
16
13
15
d)
3
c) 3
5
5
22. Simplify: 1/2 (16m + 28)
a) 32m + 14
b) 8m + 28
c) 8m + 56
d) 8m + 14
23.
4
EV
Simplify
121
a)
2
b)
4
+
It
11
11
C)
d) +13
+
1
11
Is the equation true, false or open? 2x + 3 = 6
a) True
b) False
c) Open
25. Is the equation true, false or open? 13 – 4 = 3 (6 – 3)
Work required
a) True
b) False
c) Open
26.
Determine whether the ordered pair is a solution of y=2x-4.
(-4,5)
Work required
a) Yes
b) No
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27. What ordered pair is a solution of 2y – 3x = 8 Work Required
a) (6,13)
b) (19,4)
c) (10,4)
d) (4.0)
28.
Which of these is a solution to the equation Work Required
y = -5x?
a) (1,5)
b) (5, 1)
c) (1,-5)
d) (-5.1)
29.
Which of these is a solution to the equation Work Required
y = 2x – 7?
a) (2,-3)
b) (0,7)
c) (3, 2)
d) (-4,-1)
30.
Jack and his best friend Bill have the same birthday, but Jack is 2
years older than Bill. Let the variable x represent Jack’s age and y
represent Bill’s age. Which equation models the relationship
between Bill’s age and Jack’s age?
a) y = 2x
b) y = x + 2
c) y = x/2
d) x = y + 2
31. Simplify the expressions 3x – 5x. What is the coefficient of the
simplified expressions?
a) -2x
b) 2x
C) -2
d) 15×2
32.
23 – 8
Rewrite as a sum or difference
4
a) 2x – 2
b) 1/2x – 8
C) 1/2x-2
d) 8x – 32