Math · SAT

SAT Math: Word Problems and Modeling

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

36 cards · basic cards · AI-written, checked twice. Edit anything.

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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?
C = 5n + 20
A distance-rate-time problem states a car travels 60 mph for t hours. What expression gives the distance?
60t
When you increase an amount by 30%, by what factor do you multiply the original amount?
1.30 (or 1.3)
When you decrease an amount by 20%, by what factor do you multiply the original amount?
0.80 (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?
d = 2t
Someone earns $15 per hour for h hours plus a $50 bonus. What expression gives total earnings?
15h + 50
If 30% of a quantity equals 45, what equation would you set up?
0.30x = 45 (or 0.3x = 45)
What does the slope represent in a linear model of a real-world scenario?
The rate of change
What does the y-intercept represent in a linear model of a real-world scenario?
The initial value or starting amount
A job pays $20 per hour. If you work h hours, what is your total pay?
20h
A ticket costs $80 and there is a flat $12 processing fee per order. For t tickets ordered, what is the total cost?
80t + 12
If a rectangle's length is 5 feet more than its width w, what is the length?
w + 5
A store has twice as many red shirts as blue shirts. If there are b blue shirts, how many red shirts?
2b
If an item originally costs $800 and is discounted 25%, what is the sale price?
$600
Two machines produce 50 and 30 items per hour respectively. What is the combined output after t hours?
80t

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