Algebra Placement

(Elementary Algebra: Linear Equations in One Variable)
1. A student has earned scores of 87, 81, and 88 on the first 3 of 4 tests. If the student wants an average (arithmetic mean) of exactly 87, what score must she earn on the fourth test?
A.  85
B.  86
C.  87
D.  92
E.  93
 
(Elementary Algebra: Basic Operations with Polynomials)
2. Which of the following expressions represents the product of 3 less than twice x and 2 more than the quantity 3 times x ?
A.  –6x2 + 25x + 6
B.  6x2 + 5x + 6
C.  6x2 – 5x + 6
D.  6x2 – 5x – 6
E.  6x2 – 13x – 6
 
(Elementary Algebra: Substituting Values into Algebraic Expressions)
3. If x = –1 and y = 2, what is the value of the expression 2x3 – 3xy ?
A.  8
B.  4
C.  –1
D.  –4
E.  –8
 
(Intermediate Algebra: Rational Expressions)
4. For all ris not equal to plus or minus 2, (r squared - 5r + 6) over (r squared - 4 = ?
A. (r - 3) over (r + 2)
B. (r - 2) over (r + 2)
C. (r - 2) over (r + 3)
D. (r + 3) over (r - 2)
E. (r + 3) over (r + 2)
 
(Coordinate Geometry: Linear Equations in Two Variables)
5. What is the equation of the line that contains the points with (x,y) coordinates (–3,7) and (5,–1) ?
A.  y = 3x – 2
B.  y = x + 10
C.  y = –1/3x + 8
D.  y = –3/2x + 11/4
E.  y = –x + 4
 

Answers:

1. D
2. D
3. B
4. A
5. E


These items are not actual items from ACT Compass® but are similar in content and format. These items are presented for illustrative purposes and do not constitute a full representation of item content.