# Elementary Algebra and Basic Operations

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Elementary Algebra and Basic Operations
Math Assessment Sample Items
Section 1: Numerical Skills/Pre-algebra Placement Test
Percentage of
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Content Areas
Basic operations with integers
Basic operations with fractions
Basic operations with decimals
Exponents
Ratios and proportions
Percentages
Conversions between fractions and decimals
Multiples and factors of integers
Absolute values of numbers
Averages (arithmetic means)
Order concepts (greater than; less than)
Estimation skills
Number theory
Counting problems and simple probability

11
20
14
9
10
15
1
3
3
10
1
<1
1
2

Computing and Arithmetic Average
1. What is the average (arithmetic mean) of 8,7,7,5,3,2 and 2?
A. 34/7
B. 45/6
C. 46/7
D. 5

E. 64/5

Basic Operations with Decimals
2. Ben is making wooden toys for the next arts and crafts sale. Each toy costs Ben \$1.80 to make. If he sells the toys for \$3.00 each, how many will he have to sell to make a profit of exactly \$36.00 ?
A. 12
B. 20
C. 30
D. 60
E. 108
Basic Operations with Fractions
3. How many yards of material from a 24-yard length of cloth remain after 3 pieces, each 31/2 yards long, and 5 pieces, each 21/4 yards long are removed ?
A. 21/4
B. 41/4
C. 45/6
D. 101/4 E. 105/6
Percentages
4. Phillip charged \$400 worth of goods on his credit card. On his first bill, he was not charged any interest, and he made a payment of \$20. He then charged another \$18 worth of goods. On his second bill a month later, he was charged 2% interest on his entire unpaid balance. How much interest was Phillip charged on his second bill ?
A. \$8.76
B. \$7.96
C. \$7.60
D. \$7.24
E. \$6.63
Order Concepts (greater than; less than)
5. From <, ≤, =, >, ≥, ≠, choose all the symbols that make the statement: 25 - 5 __ 14 + 3 true.
A. =, ≥, >
B. ≤, <, ≠
C. ≠, >, ≥
D. ≥, =
E. ≠ <
Exponents
6. Evaluate and simplify: 52 + 30
A. 25
B. 28

C. 13

D. 26

E. 10

Section 2: Algebra Placement Test
The Algebra Placement Test comprises topics from three major mathematics curricular areas, as follows:

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