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Math · SAT · Test Prep

SAT Math: Word Problems and Modeling

Translating word problems into equations and real-world modeling scenarios tested on the SAT math section.

About this set

36 basic cards for SAT Math. Set 5 of 5 in SAT Math. It opens with "If a problem says total cost is $5 per item plus $20 shipping, what equation" and "A distance-rate-time problem states a car travels 60 mph for t hours. What". Study it alongside the other SAT sets below.

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If a problem says total cost is $5 per item plus $20 shipping, what equation relates cost C to number of items n?
Show answerC = 5n + 20
A distance-rate-time problem states a car travels 60 mph for t hours. What expression gives the distance?
Show answer60t
When you increase an amount by 30%, by what factor do you multiply the original amount?
Show answer1.30 (or 1.3)
When you decrease an amount by 20%, by what factor do you multiply the original amount?
Show answer0.80 (or 0.8)
Two runners leave the same point running at 8 mph and 6 mph. What equation gives distance between them after t hours?
Show answerd = 2t
Someone earns $15 per hour for h hours plus a $50 bonus. What expression gives total earnings?
Show answer15h + 50
If 30% of a quantity equals 45, what equation would you set up?
Show answer0.30x = 45 (or 0.3x = 45)
What does the slope represent in a linear model of a real-world scenario?
Show answerThe rate of change
What does the y-intercept represent in a linear model of a real-world scenario?
Show answerThe initial value or starting amount
A job pays $20 per hour. If you work h hours, what is your total pay?
Show answer20h
A ticket costs $80 and there is a flat $12 processing fee per order. For t tickets ordered, what is the total cost?
Show answer80t + 12
If a rectangle's length is 5 feet more than its width w, what is the length?
Show answerw + 5
A store has twice as many red shirts as blue shirts. If there are b blue shirts, how many red shirts?
Show answer2b
If an item originally costs $800 and is discounted 25%, what is the sale price?
Show answer$600
Two machines produce 50 and 30 items per hour respectively. What is the combined output after t hours?
Show answer80t

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