This math topic covers the practice of solving quadratic equations specifically for integer roots, using the quadratic formula and concepts related to discriminants. It is an introductory level resource that emphasizes identifying the integer root solutions of various quadratic equations. Questions present quadratic equations in standard form and challenge the learner to select the correct integer roots from multiple-choice answers. This helps students in honing their abilities to analyze quadratic expressions and apply appropriate algebraic techniques to find specific types of solutions.

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Quadratic Formula - Equation to Integer Roots Worksheet

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Quadratic Formula - Equation to Integer Roots
1
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-2x to the power of 2 +2x+4
a A LaTex expression showing x=-1 \\x=2 \\
b A LaTex expression showing x=-5 \\ x=-2 \\
c A LaTex expression showing x=5 \\ x=-1 \\
d A LaTex expression showing x=-6 \\ x=-3 \\
2
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=5x to the power of 2 -5
a A LaTex expression showing x=-4 \\ x=2 \\
b A LaTex expression showing x=0 \\ x=-4 \\
c A LaTex expression showing x=-4 \\ x=4 \\
d A LaTex expression showing x=1 \\x=-1 \\
3
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-1x to the power of 2 -4x
a A LaTex expression showing x=2 \\ x=3 \\
b A LaTex expression showing x=-4 \\x=-0 \\
c A LaTex expression showing x=4 \\ x=5 \\
d A LaTex expression showing x=1 \\ x=5 \\
4
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-1x to the power of 2 -2x
a A LaTex expression showing x=-1 \\ x=2 \\
b A LaTex expression showing x=5 \\ x=-4 \\
c A LaTex expression showing x=-2 \\x=-0 \\
d A LaTex expression showing x=2 \\ x=-2 \\
5
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-2x to the power of 2 -4x
a A LaTex expression showing x=4 \\ x=3 \\
b A LaTex expression showing x=1 \\ x=-1 \\
c A LaTex expression showing x=4 \\ x=-4 \\
d A LaTex expression showing x=-2 \\x=-0 \\
6
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=x to the power of 2 -5x+4
a A LaTex expression showing x=4 \\x=1 \\
b A LaTex expression showing x=-6 \\ x=-5 \\
c A LaTex expression showing x=0 \\ x=-2 \\
d A LaTex expression showing x=1 \\ x=4 \\
7
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-2x to the power of 2 +2x
a A LaTex expression showing x=-1 \\ x=0 \\
b A LaTex expression showing x=-0 \\x=1 \\
c A LaTex expression showing x=-1 \\ x=-6 \\
d A LaTex expression showing x=-5 \\ x=4 \\
8
What roots (solutions) would this quadratic equation have?
A LaTex expression showing y=-1x to the power of 2 +3x+4
a A LaTex expression showing x=0 \\ x=3 \\
b A LaTex expression showing x=-1 \\x=4 \\
c A LaTex expression showing x=4 \\ x=3 \\
d A LaTex expression showing x=-4 \\ x=4 \\