MATH 097 Elementary Algebra Practice Test 1 NAME: _______________________

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North Seattle Community College
Summer 2012
MATH 097 Elementary Algebra
Practice Test 1
NAME: _______________________
July 7th, 2012
SCORE: ______________________
Question 1
a) Tell if the fraction on the left is less or greater than the fraction on the right. Use <, >
or =
(i)
(ii)
3
3
5
6
3
15
7
5
1
1
1
1
1 3
1
÷2⋅8+3
9
b) Evaluate
c) Evaluate
2
[8 + 2 (4 − 6)]
2
Question 2
a) Match the equations below with the property it represents:
A. commutative property
B. associative property
C. distributive property
i)
6
15
(12 − 2) =
6
15
⋅ 12 −
ii) 9 ( hk ) = (9h) k
iii) 7  ( 3  6 ) = 7  ( 6  3 )
6
15
⋅2
b) Find the error and describe it in words and then solve the problem correctly:
Simplify: 8(4x – 1) – 3(2x – 5)
Answer: 8(4x – 1) – 3(2x – 5)
= 8(4x) + 8(-1) – 3(2x) – 2 (5)
= 32x – 8 – 6x -15
= 26x – 23
Question 3
a) Simplify: 20(x − 4) − 5x
b) Evaluate: 8 (5 y − 3) = 40 y – 24
c) Solve: 2x − 3(x – 5) = 5(3 + x)
Question 4
a) Solve:
b) Solve:
5
3
(− 4
6
x+3
2x + 1
𝑚 + 1)
2 1
= − 3 (2
𝑚 − 1)
=1
Question 5
a) What is 50% of 80?
b) What is the sale price of a $60 pair of running shoes on sale for 20% off?
c) Use proportions to change each of these ratio to a percent:
 1:4
 3:8
 5:7
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