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Algebraic Functions - Terms that Add To M and Multiply to N (Level 1)

This math topic focuses on solving polynomial and quadratic equations by finding pairs of integers that add up to a specified sum (M) and multiply to a given product (N). It's part of an introductory module on polynomials and quadratics, aiming to enhance skills in identifying the correct integer pairs that fit the criteria set by the equations for both summation and multiplication. These skills lay the groundwork for deeper understanding of algebraic functions and solving complex equations in future studies.

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

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Terms that Add To M and Multiply to N

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


Which pair of integers have the sum and product shown?

a+b=10a×b=16a + b = 10\\a \times b = 16

Algebraic Functions - Terms that Add To M and Multiply to N Worksheet

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Math worksheet on 'Algebraic Functions - Terms that Add To M and Multiply to N (Level 1)'. Part of a broader unit on 'Algebra Manipulating Variables - Advanced' Learn online: app.mobius.academy/math/units/algebra_manipulating_variables_advanced/
1
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 10\\a multiplied by b = 24
a
9, 8
b
9, 2
c
10, 1
d
7, 8
e
6, 4
f
1, 1
2
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 18\\a multiplied by b = 81
a
6, 13
b
9, 9
c
9, 4
d
4, 12
e
11, 8
f
6, 12
3
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 9\\a multiplied by b = 20
a
1, -1
b
8, 1
c
3, 3
d
3, -1
e
1, 0
f
5, 4
4
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 6\\a multiplied by b = 5
a
7, -4
b
3, 4
c
0, -2
d
5, 1
e
3, -3
f
6, -4
5
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 13\\a multiplied by b = 36
a
11, 6
b
12, 2
c
6, 8
d
11, 0
e
9, 4
f
8, 3
6
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 10\\a multiplied by b = 25
a
9, 4
b
7, 7
c
9, 0
d
4, 1
e
5, 5
f
4, 4
7
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 4\\a multiplied by b = 0
a
-4, 6
b
-2, -1
c
3, 2
d
0, 4
e
1, 2
f
-4, 7