AlgebraEasy–MediumInput where two linear functions agree
Algebra practice question
The functions g and h are defined by g(x) = −2x + 9 and h(x) = x. For what value of x is g(x) = h(x)?
Answer: 3
−2x + 9 = x → 9 = 3x → x = 3.
Common wrong answers
- If you answered 9
- 9 is g(0).
- If you answered -9
- −9 has the wrong sign.
- If you answered 4.5
- 4.5 comes from −2x + 9 = 0, setting g to 0 instead of to h.
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.