Quadratic Equation Word Problem To Expression (Standard Form) - 3-Sided Rectangle

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 Expression (Standard Form) - 3-Sided Rectangle Worksheet

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Quadratic Equation Word Problem To Expression (Standard Form) - 3-Sid...
1
A rectangular garden is built along x meters of a wall using a total of 26m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the garden?
a A LaTex expression showing A(x) = 3.5x to the power of 2 + 13x - 5
b A LaTex expression showing A(x) = -4.5x to the power of 2 + 9x
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 13x
2
A rectangular garden is built along x meters of a wall using a total of 18m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the garden?
a A LaTex expression showing A(x) = -0.5x to the power of 2 + 10x + 1
b A LaTex expression showing A(x) = 4.5x to the power of 2 + 9x + 2
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 9x
3
A rectangular garden is built along x meters of a wall using a total of 29m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the garden?
a A LaTex expression showing A(x) = -2.5x to the power of 2 + 14.5x
b A LaTex expression showing A(x) = 3.5x to the power of 2 + 19.5x
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 14.5x
4
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 24m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the parking lot?
a A LaTex expression showing A(x) = 4.5x to the power of 2 + 14x
b A LaTex expression showing A(x) = -0.5x to the power of 2 + 12x + 5
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 12x
5
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 23m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the parking lot?
a A LaTex expression showing A(x) = -0.5x to the power of 2 + 13.5x
b A LaTex expression showing A(x) = 3.5x to the power of 2 + 9.5x
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 11.5x
6
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 29m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the parking lot?
a A LaTex expression showing A(x) = -0.5x to the power of 2 + 14.5x
b A LaTex expression showing A(x) = -0.5x to the power of 2 + 13.5x + 5
c A LaTex expression showing A(x) = 1.5x to the power of 2 + 14.5x - 1
7
A parking lot that is a rectangle shape is enclosed by x meters of a wall and 25m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the parking lot?
a A LaTex expression showing A(x) = -0.5x to the power of 2 + 12.5x
b A LaTex expression showing A(x) = -0.5x to the power of 2 + 16.5x + 3
c A LaTex expression showing A(x) = -5.5x to the power of 2 + 12.5x - 3
8
A rectangular garden is built along x meters of a wall using a total of 15m of fencing.
What quadratic equation, in standard form, comes from calculating the area of the garden?
a A LaTex expression showing A(x) = -0.5x to the power of 2 + 7.5x
b A LaTex expression showing A(x) = 3.5x to the power of 2 + 4.5x
c A LaTex expression showing A(x) = -0.5x to the power of 2 + 6.5x + 2