Algebraic Functions - Quadratic to Add To M and Multiply to N (Level 1) - Mobius Math Academy

Algebraic Functions

Quadratic to Add To M and Multiply to N (Level 1)

This math topic focuses on solving algebraic functions involving quadratic equations, where learners practice finding pairs of integers that satisfy two conditions: summing to a certain number (M) and multiplying to another specified number (N). Practicing these skills involves identifying factors of a quadratic expression formatted as \(x^2 + Mx + N = (x + a)(x + b)\). Each question provides multiple pairs of integers as options to determine which pair correctly fulfills both the addition and multiplication criteria to match the quadratic expression structure.

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

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Algebraic Functions - Quadratic to Add To M and Multiply to N Worksheet

Algebraic Functions - Quadratic to Add To M and Multiply to N

Which pair of integers add to 11 and multiply to 24?

$A LaTex expression showing x to the power of 2 + 11x + 24\\=(x+a)(x+b)$

Which pair of integers add to 13 and multiply to 36?

$A LaTex expression showing x to the power of 2 + 13x + 36\\=(x+a)(x+b)$

Which pair of integers add to 12 and multiply to 32?

$A LaTex expression showing x to the power of 2 + 12x + 32\\=(x+a)(x+b)$

Which pair of integers add to 12 and multiply to 27?

$A LaTex expression showing x to the power of 2 + 12x + 27\\=(x+a)(x+b)$

Which pair of integers add to 4 and multiply to 3?

$A LaTex expression showing x to the power of 2 + 4x + 3\\=(x+a)(x+b)$

Which pair of integers add to 18 and multiply to 81?

$A LaTex expression showing x to the power of 2 + 18x + 81\\=(x+a)(x+b)$

Which pair of integers add to 4 and multiply to 0?

$A LaTex expression showing x to the power of 2 + 4x + 0\\=(x+a)(x+b)$

Which pair of integers add to 7 and multiply to 0?

$A LaTex expression showing x to the power of 2 + 7x + 0\\=(x+a)(x+b)$