Algebra · Word Problems Involving Algebraic Expressions
SAT Word Problems Involving Algebraic Expressions Practice Questions (Free + Explanations) | Quiz 1
A streaming service charges a monthly fee of \8\ for each movie rented. If Maya rented movies in one month, what was her total cost for that month?
The total cost is the monthly fee plus the cost of renting movies. Each movie costs \252 \cdot 5 = 108 + 10 = 18\.
In a word problem with a fixed fee and a per-item cost, multiply the rate by the number of items, then add the fixed amount.
A theater charges a one-time online fee of dollars for each ticket order. If the total cost, in dollars, of an order for tickets is , and each ticket costs , what is the value of ?
The total cost is the cost of tickets plus the one-time fee:
Since , we have
Subtracting from both sides gives
Translate the situation into an equation by writing total cost as ticket cost plus fee, then isolate the unknown quantity.
A gym charges a one-time registration fee of and per month for membership. Which expression represents the total cost, in dollars, for months?
The total cost is the one-time fee plus the monthly cost for months. The monthly part is , and adding the registration fee gives .
In a word problem, a fixed starting amount is added to a repeated amount written as rate times number of units.
A graph in the -plane shows the relationship between the number of notebooks purchased, , and the total cost, , in dollars. The line passes through the origin and the point . Based on the graph, what is the cost of 1 notebook?
Because the line passes through the origin, the total cost is proportional to the number of notebooks. The point means 4 notebooks cost \10
dollars, or \2.50
On a graph of total cost versus number of items, the cost of 1 item is the unit rate, found by dividing the -value by the corresponding -value.
At a school fundraiser, adult tickets cost \8\ each. A total of tickets were sold for \130
Let be the number of adult tickets and be the number of student tickets. The problem gives the system
and
Substitute into the second equation:
Then
so
and
Therefore, adult tickets were sold.
Set up a system using the total number of items and the total cost, then solve for the unknown quantity.
Your results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practiceYour results
Estimated SAT Math band
700+
Illustrative range from this short quiz—not an official College Board score.
Adaptive practice, weak-area review, and timed tests live in the MCQsLearn app—pick up where you left off on your phone.
More SAT Math practice