Algebra · Linear Equations And Inequalities
SAT Linear Equations And Inequalities Practice Questions (Free + Explanations) | Quiz 1
A parking garage charges a one-time entry fee of dollars plus dollars for each hour parked. If a driver pays a total of dollars, how many hours did the driver park?
Let be the number of hours parked. The total cost is modeled by . Subtract from both sides to get , then divide by to get . So the driver parked for hours.
Write a linear equation for total cost as fixed fee plus hourly cost, then solve for the unknown number of hours.
If and , what is the value of ?
Substitute into to get . Then , so . Therefore, .
When one variable is given in a linear equation, substitute it into the equation, solve for the other variable, and then find the requested quantity.
Which expression is equivalent to ?
Distribute the first: . Then combine like terms: . So the equivalent expression is .
To find an equivalent linear expression, distribute first and then combine like terms.
The graph of a line passes through the points and . Which equation represents this line?
Both given points have the same -coordinate, . That means the line is horizontal, so its equation is .
A horizontal line has the form because every point on the line has the same -value.
At a school event, adult tickets cost \8\ each. A total of tickets were sold for dollars. If is the number of adult tickets and is the number of student tickets, which system of equations represents this situation?
The total number of tickets is , so . The total money collected is , with adult tickets costing \8\, so . Therefore, the system is and .
For a system of equations model, one equation represents the total number of items, and the other represents the total value using price times quantity.
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Estimated SAT Math band
500-550
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Estimated SAT Math band
500-550
Illustrative range from this short quiz—not an official College Board score.
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More SAT Math practiceYour results
Estimated SAT Math band
600-650
Illustrative range from this short quiz—not an official College Board score.
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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