AlgebraEasy–MediumTwo lengths from a total and a relation in words
Algebra practice question
A board 15 metres long is cut into two pieces so that the longer piece is 3 metres more than twice the shorter piece. How long, in metres, is the shorter piece?
Answer: 4
s + (2s + 3) = 15 gives 3s = 12, so s = 4.
Common wrong answers
- If you answered 5
- 5 solves 3s = 15, forgetting the extra 3 metres.
- If you answered 6
- 6 solves s + 2s = 15 + 3.
- If you answered 11
- 11 is the longer piece.
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.