Quadratic Equation Word Problem To Solution - Height over Ground

Level 1

The topics in this unit focus on constructing and solving quadratic equations from word problems. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

Quadratic Equation Word Problem To Solution - Height over Ground Worksheet

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Quadratic Equation Word Problem To Solution - Height over Ground
1
Given this equation for the height of a long jumper as a function of distance from the line, where do they land?
A LaTex expression showing h(x) = -11x to the power of 2 + 2x + 6
a A LaTex expression showing x = 0.835m
b A LaTex expression showing x = 5.835m
2
Given this equation for the height of a water jet as a function of distance from the fountain, where does it land?
A LaTex expression showing h(x) = -10x to the power of 2 + 9x + 5
a A LaTex expression showing x = 6.288m
b A LaTex expression showing x = 3.712m
c A LaTex expression showing x = 1.288m
3
Given this equation for the height of a water jet as a function of distance from the fountain, where does it land?
A LaTex expression showing h(x) = -6x to the power of 2 + 3x + 3
a A LaTex expression showing x = 1m
b A LaTex expression showing x = 6m
c A LaTex expression showing x = 2m
4
Given this equation for the height of a long jumper as a function of distance from the line, where do they land?
A LaTex expression showing h(x) = -2x to the power of 2 + 5x + 5
a A LaTex expression showing x = 3.266m
b A LaTex expression showing x = 7.266m
5
Given this equation for the height of a water jet as a function of distance from the fountain, where does it land?
A LaTex expression showing h(x) = -11x to the power of 2 + 8x + 3
a A LaTex expression showing x = 1m
b A LaTex expression showing x = 2m
c A LaTex expression showing x = 0m
6
Given this equation for the height of a long jumper as a function of distance from the line, where do they land?
A LaTex expression showing h(x) = -10x to the power of 2 + 10x + 5
a A LaTex expression showing x = 1.366m
b A LaTex expression showing x = 0.366m
7
Given this equation for the height of a long jumper as a function of distance from the line, where do they land?
A LaTex expression showing h(x) = -3x to the power of 2 + 2x + 7
a A LaTex expression showing x = 4.897m
b A LaTex expression showing x = 1.103m
c A LaTex expression showing x = 1.897m
8
Given this equation for the height of a long jumper as a function of distance from the line, where do they land?
A LaTex expression showing h(x) = -9x to the power of 2 + 8x + 6
a A LaTex expression showing x = 2.626m
b A LaTex expression showing x = 1.374m