Quadratic Equation Complete Square - To Removed Coefficient (Coefficient N)

Level 1

This math topic focuses on quadratic equations and involves the specific skill of removing the leading coefficient from the \(x\) terms to facilitate completing the square, a method used to solve quadratic equations. The problems require students to manipulate algebraic expressions to transform a standard quadratic equation into a form suitable for completing the square by factoring out the leading coefficient in preparation for rewriting the equation. The questions are presented with multiple-choice answers, each offering different variations of factored quadratic expressions.

Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

more

Quadratic Equation Complete Square - To Removed Coefficient (Coefficient N) Worksheet

Mobius Math Academy logo
Quadratic Equation Complete Square - To Removed Coefficient (Coeffici...
1
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=3x to the power of 2 -18x+25
a A LaTex expression showing y=3(x to the power of 2 -6x)+23
b A LaTex expression showing y=3(x to the power of 2 +6x)+25
c A LaTex expression showing y=3(x to the power of 2 -6x)+25
d A LaTex expression showing y=3(x to the power of 2 +18x)+25
e A LaTex expression showing y=3(x to the power of 2 -6x)+24
2
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=5x to the power of 2 +20x+19
a A LaTex expression showing y=5(x to the power of 2 -4x)+19
b A LaTex expression showing y=5(x to the power of 2 -20x)+19
c A LaTex expression showing y=5(x to the power of 2 +8x)+19
d A LaTex expression showing y=5(x to the power of 2 +4x)+18
e A LaTex expression showing y=5(x to the power of 2 +4x)+19
3
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=5x to the power of 2 +10x+6
a A LaTex expression showing y=5(x to the power of 2 +2x)+4
b A LaTex expression showing y=5(x to the power of 2 -2x)+6
c A LaTex expression showing y=5(x to the power of 2 -10x)+6
d A LaTex expression showing y=5(x to the power of 2 +7x)+6
e A LaTex expression showing y=5(x to the power of 2 +2x)+6
4
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=5x to the power of 2 -10x+2
a A LaTex expression showing y=5(x to the power of 2 +10x)+2
b A LaTex expression showing y=5(x to the power of 2 -2x)+2
c A LaTex expression showing y=5(x to the power of 2 -2x)+1
d A LaTex expression showing y=5(x to the power of 2 -3x)+2
e A LaTex expression showing y=5(x to the power of 2 +2x)+2
5
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=4x to the power of 2 -16x+17
a A LaTex expression showing y=4(x to the power of 2 -4x)+19
b A LaTex expression showing y=4(x to the power of 2 +16x)+17
c A LaTex expression showing y=4(x to the power of 2 +4x)+17
d A LaTex expression showing y=4(x to the power of 2 -4x)+17
e A LaTex expression showing y=4(x to the power of 2 -4x)+16
6
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=5x to the power of 2 -30x+49
a A LaTex expression showing y=5(x to the power of 2 -6x)+48
b A LaTex expression showing y=5(x to the power of 2 -6x)+49
c A LaTex expression showing y=5(x to the power of 2 +30x)+49
d A LaTex expression showing y=5(x to the power of 2 +6x)+49
e A LaTex expression showing y=5(x to the power of 2 -6x)+50
7
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=2x to the power of 2 +8x+5
a A LaTex expression showing y=2(x to the power of 2 -4x)+5
b A LaTex expression showing y=2(x to the power of 2 -8x)+5
c A LaTex expression showing y=2(x to the power of 2 +4x)+4
d A LaTex expression showing y=2(x to the power of 2 +2x)+5
e A LaTex expression showing y=2(x to the power of 2 +4x)+5
8
Remove the leading coefficient from the x terms to be ready to complete the square
A LaTex expression showing y=2x to the power of 2 -8x+7
a A LaTex expression showing y=2(x to the power of 2 -4x)+9
b A LaTex expression showing y=2(x to the power of 2 +8x)+7
c A LaTex expression showing y=2(x to the power of 2 -4x)+8
d A LaTex expression showing y=2(x to the power of 2 -4x)+7
e A LaTex expression showing y=2(x to the power of 2 +4x)+7