All topicsQuadratic EquationsQuadratic word problems

Grade 9 · Free practice

Quadratic word problems

Projectile height, maximum area, and revenue problems modeled and solved with quadratics.

Standards:A-CED.A.1F-IF.B.4

Try it: three questions

Real questions from the practice bank. Tap an answer to check it.

Question 1 of 3

A ball is kicked upward from ground level. Its height in meters after t seconds is given by h(t) = −5t² + 20t. What is the maximum height the ball reaches?

Question 2 of 3

A ball is thrown upward from ground level. Its height in meters after t seconds is given by h(t) = 20t − 5t². At what time does the ball reach its maximum height?

Question 3 of 3

A projectile is launched from a platform. Its height (in meters) after t seconds is h(t) = −4t² + 16t + 12. What is the maximum height reached?

How this fits in

Quadratic word problems is one skill in the Quadratic Equations unit. Students read the unit lesson, then earn a bronze, silver, or gold medal on their last 10 answers. Medals never go down. A mastered unit comes back for review after 1, 3, 7, 16, and 35 days so it stays learned.

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