# BASIC ALGEBRA TEST

The items on this sample test are similar to the items on the Mathematics
Placement Test in level

of difficulty. However, not all of the topics or types of items that are on the
Placement Test are

included here. The Mathematics Placement Test has twenty-five, multiple -choice
questions.

This sample test has only fourteen questions and they are all open-ended.

**TOPICS ON THE MATHEMATICS PLACEMENT TEST:** arithmetic of rational numbers, order

of operations, operations with algebraic expressions , linear equations and
inequalities, factoring

and algebraic fractions , exponents and radicals, graphing, fractional and
quadratic equations,

absolute values, systems of linear equations. Items do not require the use of a
calculator.

1. Remove parentheses and simplify the expression

2. Remove parentheses and simplify the expression

4. Solve the equation x ^{2} + 2x = 3 .

5. Remove parentheses and simplify the expression (2x^{2}y^{3}
)(- 3xy^{2} ).

6. Find the x- intercept of the graph 2x + 3y +12 = 0 .

7. Remove parentheses and simplify the expression

8. Simplify the expression

9. If x = 3 and y = -5 , then find the value of the expression

10. Solve the equation 5y - 2 = 2x + 3 for y .

11. Find the slope and the y -intercept of the line 3x - 5y - 9 = 0 .

12. In a calculus class, 15 of the students play soccer.
Find the total number of students in the

class if 3 out of every 5 play soccer.

13. In the figure below, the large rectangle has
dimensions 6 inches by 9 inches. The squares

on each corner are 2 inches by 2 inches. Find the area in square inches of the
shaded

region.

14. Express in simplest radical form .

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