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

This math topic focuses on the skill of solving for pairs of integers that satisfy given conditions for summation and multiplication, incorporating negative numbers. Specifically, students practice identifying pairs of integers, 'a' and 'b', that meet specified sums ('a + b = M') and products ('a * b = N'). This basic yet crucial algebraic skill forms part of a broader introduction to polynomials and quadratics. The problems require analyzing expressions with both positive and negative outcomes, enhancing the foundational understanding needed for more complex algebraic functions.

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 - with Negatives

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=9a×b=0a + b = -9\\a \times b = 0

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

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Math worksheet on 'Algebraic Functions - Terms that Add To M and Multiply to N - with Negatives (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 = -4\\a multiplied by b = -5
a
1, -5
b
-3, -9
c
4, -7
d
1, -9
e
1, -7
f
-3, -2
2
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 2\\a multiplied by b = 1
a
4, -4
b
1, 3
c
1, 1
d
-3, 4
e
3, 3
f
3, 0
3
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = -1\\a multiplied by b = 0
a
0, 3
b
-4, 0
c
-3, -4
d
3, -3
e
-1, 2
f
0, -1
4
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 11\\a multiplied by b = 24
a
4, 5
b
3, 8
c
-1, 6
d
5, 10
e
1, 11
f
2, 8
5
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = -5\\a multiplied by b = -36
a
-10, 1
b
-8, 7
c
-6, 7
d
-9, 4
e
-9, -1
f
-6, 5
6
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = 0\\a multiplied by b = -49
a
-7, 10
b
-7, 4
c
-7, 7
d
-3, 11
e
-8, 9
f
-3, 6
7
Which pair of integers have the sum and product shown?
A LaTex expression showing a + b = -11\\a multiplied by b = 30
a
-4, -6
b
-8, -4
c
-9, -5
d
-2, -5
e
-5, -6
f
-9, -4