Algebra · Word Problems Involving Algebraic Expressions
SAT Word Problems Involving Algebraic Expressions Practice Questions (Free + Explanations) | Quiz 3
On a coordinate plane, a line passes through and has slope . Which expression gives the -coordinate of a point on the line when the -coordinate is ?
A line with slope and -intercept has equation . Replacing with gives , so that expression represents the -coordinate.
For a line, slope-intercept form is , where is the slope and is the -intercept.
A parking garage charges a fee based on the number of hours parked. On the graph, the line passes through the points and , where is the number of hours and is the total cost in dollars. According to this graph, what is the cost for each additional hour parked?
The cost for each additional hour is the slope of the line. Using the points and ,
So the total cost increases by dollars for each additional hour parked.
On a graph relating two quantities, the amount one quantity changes for each 1-unit increase in the other is the slope: .
If and , what is the value of ?
Add the two equations:
This gives , so .
For a simple system with one sum and one difference, adding the equations often eliminates one variable immediately.
A school store tracked the number of notebooks sold on four days, as shown in the table.
The store earned a total of dollars from notebook sales on Thursday, where is the number of notebooks sold that day. How many dollars did the store earn from notebook sales on Thursday?
From the table, the number of notebooks sold on Thursday is . The total earned is dollars, so substitute :
The store earned dollars on Thursday.
Read the needed value from the table, then substitute it into the algebraic expression to find the total.
Given that the sum of two numbers is , and one number is more than the other, which statement must be true?
Let the smaller number be . Then the larger number is . Since their sum is , we have , so and . This gives , so the larger number is . Therefore, the statement that must be true is that the larger number is .
Translate the word relationship into an expression, then use the total to find both quantities.
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