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

This math topic focuses on identifying pairs of integers that satisfy given conditions for their sum and product. Each question presents a specific sum and product, and learners must select the pair of integers that meet these criteria. It helps to develop skills in working with algebraic equations related to simple polynomials, particularly binomials, enhancing understanding of how integers relate to sums and products. This is essential groundwork for more complicated polynomial and quadratic concepts. The problems are crafted to strengthen logical reasoning and algebraic manipulation skills.

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

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

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Algebraic Functions - Terms that Add To M and Multiply to N
1
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 11\\a multiplied by b = 30
a
5, 6
b
0, 7
c
8, 3
d
0, 2
e
8, 8
f
7, 2
2
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 2\\a multiplied by b = 0
a
-5, 3
b
1, 4
c
-4, -2
d
0, 2
e
-4, 4
f
3, 3
3
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 3\\a multiplied by b = 2
a
2, 1
b
-2, 4
c
5, -1
d
-3, 3
e
5, -4
f
4, -1
4
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 7\\a multiplied by b = 12
a
0, 3
b
3, 0
c
1, -1
d
3, 7
e
5, 0
f
3, 4
5
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 13\\a multiplied by b = 40
a
6, 5
b
5, 8
c
2, 3
d
4, 9
e
5, 3
f
9, 7
6
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 13\\a multiplied by b = 42
a
8, 11
b
6, 7
c
6, 4
d
10, 3
e
6, 2
f
7, 4
7
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 8\\a multiplied by b = 15
a
5, 3
b
1, 3
c
9, 0
d
8, 4
e
4, 7
f
3, -1
8
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 6\\a multiplied by b = 5
a
1, 7
b
5, 8
c
1, 9
d
-3, 8
e
1, 8
f
1, 5