ACT Questions: Elementary Algebra

Videos, examples, solutions, activities and worksheets to help ACT students review some intermediate algebra questions.

ACT Math Video Solution #2
Factoring a quadratic
Example:
Which of the following is a factor of p² - 4p - 12?
A. p + 6
B. p - 4
C. p + 3
D. p - 2
E. p - 6

• Show Step-by-step Solutions

ACT Mathematics Elementary Algebra Problem
This question asks you to find an expression to describe the relationship between two variables.
Example:
Jack is a newborn baby who spends 60% of his time sleeping. Out of the other 40% of his time, 60% is spent either eating, burping, or having his diaper changed. What percent of Jack’s total time is left for playing?
A. 0%
B. 16%
C. 20%
D. 24%
E. 40

• Show Step-by-step Solutions

Consecutive Odd Integers {ACT - Elementary Algebra}
Example:
m, n, and p are three consecutive positive odd integers such that m < n < p. If their sum is 45, what is the value of mp?
A. 30
B. 90
C. 195
D. 221
E. 224

• Show Step-by-step Solutions

ACT Math Test: Elementary Algebra Problem
Here’s an elementary algebra problem for you to try.
Example:
If x² = 81 and y² = 25, which of the following is a possible value of x + y?
A. -15
B. -4
C. 10
D. 18
E. 106

Hours Worked {ACT - Elementary Algebra}
Example:
A consultant charges $45 for each hour she works on a consultation, plus a flat $30 consulting fee. How may hours of work are included in a $210 bill for a consultation?
F. 2 4/5
G. 4
H. 4 2/3
J. 5 1/2
K. 7

Combining Like Terms {ACT - Elementary Algebra}
Example:
t² - 59t + 54 - 82t² + 60t is equivalent to:
F. -26t²
G. -26t⁶
H. -81t⁴ + t² + 54
J. -81t² + t + 54
K. -82t² + t + 54

Consecutive Integers {ACT - Elementary Algebra}
Example:
The 6 consecutive integers below add up to 447.
x - 2
x - 1
x
x + 1
x + 2
x + 3
What is the value of x?
F. 72
G. 73
H. 74
J. 75
K. 76

Check out our most popular games!
Fraction Concoction	Fact Family Game	Number Bond Garden
Online Addition Subtraction Game	Penguin Solitaire	Sawayama Solitaire
Ark Solitaire	Eldritch Invasion	Shenzhen Solitaire

Check out more Solitaire games here.

We welcome your feedback, comments and questions about this site or page. Please submit your feedback or enquiries via our Feedback page.