AlgebraEasy–MediumCounting positive integer solutions
Algebra practice question
How many positive integers x satisfy 4x + 3 ≤ 19?
Answer: 4
4x ≤ 16 gives x ≤ 4, so x can be 1, 2, 3, or 4.
Common wrong answers
- If you answered 3
- 3 leaves out x = 4, but 4(4) + 3 = 19 is allowed.
- If you answered 5
- 5 gives 4(5) + 3 = 23, which is too large.
- If you answered 16
- 16 is 4x, not a count.
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.