Tip 1: Pick-and-Choose Numbers
This is a strategy for solving algebra problems that have variables or actual numbers as answer choices. Instead of reading a problem as “Ben completed x projects on time,” you might say “Ben completed 20 projects on time.” As long as you substitute 20 for x everywhere in the problem and in the answer choices, you will get the question right.
Use this tip to answer the ACT Math practice problem.
Practice Question: Marissa is half as old as Robert, who is four times as old as Jeremy. Marissa is currently m years old, what will Jeremy’s age be in 5 years in terms of m?
A. m/2 + 5
B. m + 5
C. 2m - 5
D. 2m + 5
E. 2m + 5/2
Answer and explanation: Substitute m with 20.
M = 20 = m
R = 40
J = 10
J + 5 = 15
Therefore, A is the correct answer.
Tip 2: Pick-and-Choose Answers
This is a strategy for algebra problems that have actual numbers as answer choices. Assume that one of the answer choices is correct, and then check your work.
When you use pick-and-choose answers, start with answer C or H. Because the answers on the ACT are generally in ascending or descending order, starting in the middle allows you to eliminate answers more quickly. If an answer choice does not work, eliminate it and try a higher or lower answer choice.
Use this tip to answer the ACT Math practice problem.
Practice Question: James and Lisa sponsored a youth soccer team by donating a total of $260. If James had donated 10 more dollars, he would have given twice as much money as Lisa. How much money did James donate?
A. $190
B. $170
C. $130
D. $90
E. $80
Answer and explanation:
Start with C.
C: James = $130
So, Lisa = 260 - 130 = 130. If James had given $10 more, then he would have given $140, which is NOT twice as much as Lisa.
Next, try B.
B: James = $170
So, Lisa = 260 - 170 = 90. If James had given $10 more, he would have given $180, which is twice as much as Lisa. B is the correct answer.