AlgebraEasy–MediumGreatest value satisfying a two-part budget
Algebra practice question
A student has $42 and buys 3 notebooks at $8 each. Pens cost $2 each. What is the greatest number of pens the student can buy with the remaining money?
Answer: 9
After the notebooks, 42 − 24 = $18 remains. 2p ≤ 18 gives p ≤ 9.
Common wrong answers
- If you answered 10
- 10 pens would cost $20, more than the $18 left.
- If you answered 12
- 12 comes from subtracting 8 once instead of 24.
- If you answered 21
- 21 spends the whole $42 on pens, forgetting the notebooks.
More Algebra questions
- Easy–Medium
A line passes through the points (0, 3) and (2, 7). What is the slope of the line? - Easy–Medium
A gym charges a $25 one-time signup fee plus $15 per month. Which equation gives the total cost C, in dollars,… - Easy–Medium
If 5(x − 2) = 3x + 4, what is the value of x? - Easy–Medium
A taxi charges a $3.50 base fare plus $2.25 per mile. If a ride costs $19.25 total, how many miles was the rid… - Easy–Medium
The equation of a line is 3x + 2y = 12. What is the y-coordinate of the point where the line crosses the y-axi… - Easy–Medium
A line in the xy-plane passes through the points (1, 5) and (4, 11). What is the y-intercept of the line?
Not affiliated with the College Board. SAT is a trademark of the College Board.