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Algebraic Functions - Factor the Quadratic Equation (Level 1)

This math topic focuses on algebraic functions, particularly on factoring quadratic equations. Through a series of seven problems, the learners are given quadratic expressions and asked to choose the equivalent factored equation from multiple options. The variables used in the expressions vary across problems, enhancing the complexity of the topic. This forms part of a larger unit on advanced polynomials and quadratics.

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

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Factor the Quadratic Equation

Complete these online problems with 80% or 4 correct answers in a row. Results are immediate.


Which answer is the same expression as this

p2+5p+6p^2 + 5p + 6

Algebraic Functions - Factor the Quadratic Equation Worksheet

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Math worksheet on 'Algebraic Functions - Factor the Quadratic Equation (Level 1)'. Part of a broader unit on 'Polynomials and Quadratics - Practice' Learn online: app.mobius.academy/math/units/polynomials_and_quadratics_practice/
1
Which answer is the same expression as this
A LaTex expression showing d to the power of 2 + 9d + 18
a A LaTex expression showing (d + 6)(d + 3)
b A LaTex expression showing (18d - 6)(d + 3)
c A LaTex expression showing (d + 6)(d - 3)
d A LaTex expression showing (3d - 6)(d + 3)
e A LaTex expression showing (d - 6)(d - 3)
f A LaTex expression showing (d - 6)(18d + 3)
2
Which answer is the same expression as this
A LaTex expression showing x to the power of 2 + 16x + 63
a A LaTex expression showing (x + 7)(x + 9)
b A LaTex expression showing (x - 7)(x - 9)
c A LaTex expression showing (x + 7)(x - 9)
d A LaTex expression showing (63x - 7)(x + 9)
e A LaTex expression showing (2x - 7)(x + 9)
f A LaTex expression showing (x - 7)(63x + 9)
3
Which answer is the same expression as this
A LaTex expression showing p to the power of 2 + 7p + 10
a A LaTex expression showing (p + 5)(p + 2)
b A LaTex expression showing (p - 5)(10p + 2)
c A LaTex expression showing (p - 5)(p - 2)
d A LaTex expression showing (p + 5)(p - 2)
e A LaTex expression showing (3p - 5)(p + 2)
f A LaTex expression showing (10p - 5)(p + 2)
4
Which answer is the same expression as this
A LaTex expression showing r to the power of 2 + 11r + 24
a A LaTex expression showing (5r - 3)(r + 8)
b A LaTex expression showing (r + 3)(r + 8)
c A LaTex expression showing (24r - 3)(r + 8)
d A LaTex expression showing (r - 3)(r - 8)
e A LaTex expression showing (r - 3)(24r + 8)
f A LaTex expression showing (r + 3)(r - 8)
5
Which answer is the same expression as this
A LaTex expression showing r to the power of 2 + 14r + 45
a A LaTex expression showing (r + 5)(r + 9)
b A LaTex expression showing (r - 5)(45r + 9)
c A LaTex expression showing (4r - 5)(r + 9)
d A LaTex expression showing (45r - 5)(r + 9)
e A LaTex expression showing (r - 5)(r - 9)
f A LaTex expression showing (r + 5)(r - 9)
6
Which answer is the same expression as this
A LaTex expression showing z to the power of 2 + 10z + 21
a A LaTex expression showing (z - 3)(z - 7)
b A LaTex expression showing (4z - 3)(z + 7)
c A LaTex expression showing (z + 3)(z + 7)
d A LaTex expression showing (z - 3)(21z + 7)
e A LaTex expression showing (z + 3)(z - 7)
f A LaTex expression showing (21z - 3)(z + 7)
7
Which answer is the same expression as this
A LaTex expression showing y to the power of 2 + 8y + 15
a A LaTex expression showing (y + 5)(y - 3)
b A LaTex expression showing (2y - 5)(y + 3)
c A LaTex expression showing (y - 5)(y - 3)
d A LaTex expression showing (y - 5)(15y + 3)
e A LaTex expression showing (y + 5)(y + 3)
f A LaTex expression showing (15y - 5)(y + 3)