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Algebraic Functions - Variable Substitution to Equation - Bracketed Terms (Level 1)

This math topic focuses on practicing algebraic functions involving variable substitution into bracketed equations. It covers basic algebraic skills such as substituting given values for variables, simplifying expressions, and solving basic algebraic equations. The questions require transforming expressions by substituting integer values into formulas consisting of addition, multiplication, and understanding the order of operations within brackets. It builds foundational skills necessary for solving more complex algebraic equations and enhancing problem-solving abilities in algebra.

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

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Variable Substitution to Equation - Bracketed Terms

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What does this equation become when p=2, r=3

5(6p+5r)5(6p + 5r)

Algebraic Functions - Variable Substitution to Equation - Bracketed Terms Worksheet

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Math worksheet on 'Algebraic Functions - Variable Substitution to Equation - Bracketed Terms (Level 1)'. Part of a broader unit on 'Algebra Basic Concepts - Practice' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_practice/
1
What does this equation become when c=4, x=2
A LaTex expression showing 5(5c + 3x)
a A LaTex expression showing 5 + 4 + 3 + 2
b A LaTex expression showing 5 + (5 multiplied by 4 + 3 multiplied by 2)
c A LaTex expression showing 5 multiplied by 4 - 3 multiplied by 2
d A LaTex expression showing -5 multiplied by 4 - 3 multiplied by 2
e A LaTex expression showing 5 + (5 multiplied by 4 multiplied by 3 multiplied by 2)
f A LaTex expression showing 5 multiplied by (5 multiplied by 4 + 3 multiplied by 2)
2
What does this equation become when b=5, x=3
A LaTex expression showing 6(2b + 5x)
a A LaTex expression showing 6 + (2 multiplied by 5 multiplied by 5 multiplied by 3)
b A LaTex expression showing 2 + 5 + 5 + 3
c A LaTex expression showing 2 multiplied by 5 - 5 multiplied by 3
d A LaTex expression showing -2 multiplied by 5 - 5 multiplied by 3
e A LaTex expression showing 6 multiplied by (2 multiplied by 5 + 5 multiplied by 3)
f A LaTex expression showing 6 + (2 multiplied by 5 + 5 multiplied by 3)
3
What does this equation become when n=2, d=4
A LaTex expression showing 6(5n + 3d)
a A LaTex expression showing 6 multiplied by (5 multiplied by 2 + 3 multiplied by 4)
b A LaTex expression showing 5 multiplied by 2 - 3 multiplied by 4
c A LaTex expression showing -5 multiplied by 2 - 3 multiplied by 4
d A LaTex expression showing 6 + (5 multiplied by 2 + 3 multiplied by 4)
e A LaTex expression showing 5 + 2 + 3 + 4
f A LaTex expression showing 6 + (5 multiplied by 2 multiplied by 3 multiplied by 4)
4
What does this equation become when z=4, c=3
A LaTex expression showing 3(6z + 2c)
a A LaTex expression showing 3 multiplied by (6 multiplied by 4 + 2 multiplied by 3)
b A LaTex expression showing 6 multiplied by 4 - 2 multiplied by 3
c A LaTex expression showing 3 + (6 multiplied by 4 multiplied by 2 multiplied by 3)
d A LaTex expression showing 6 + 4 + 2 + 3
e A LaTex expression showing 3 + (6 multiplied by 4 + 2 multiplied by 3)
f A LaTex expression showing -6 multiplied by 4 - 2 multiplied by 3
5
What does this equation become when c=3, b=4
A LaTex expression showing 5(6c + 2b)
a A LaTex expression showing 5 + (6 multiplied by 3 multiplied by 2 multiplied by 4)
b A LaTex expression showing 5 multiplied by (6 multiplied by 3 + 2 multiplied by 4)
c A LaTex expression showing 5 + (6 multiplied by 3 + 2 multiplied by 4)
d A LaTex expression showing -6 multiplied by 3 - 2 multiplied by 4
e A LaTex expression showing 6 + 3 + 2 + 4
f A LaTex expression showing 6 multiplied by 3 - 2 multiplied by 4
6
What does this equation become when x=3, c=2
A LaTex expression showing 5(6x + 3c)
a A LaTex expression showing 5 multiplied by (6 multiplied by 3 + 3 multiplied by 2)
b A LaTex expression showing 6 + 3 + 3 + 2
c A LaTex expression showing 5 + (6 multiplied by 3 multiplied by 3 multiplied by 2)
d A LaTex expression showing 6 multiplied by 3 - 3 multiplied by 2
e A LaTex expression showing -6 multiplied by 3 - 3 multiplied by 2
f A LaTex expression showing 5 + (6 multiplied by 3 + 3 multiplied by 2)
7
What does this equation become when y=2, b=5
A LaTex expression showing 3(3y + 5b)
a A LaTex expression showing -3 multiplied by 2 - 5 multiplied by 5
b A LaTex expression showing 3 multiplied by 2 - 5 multiplied by 5
c A LaTex expression showing 3 multiplied by (3 multiplied by 2 + 5 multiplied by 5)
d A LaTex expression showing 3 + 2 + 5 + 5
e A LaTex expression showing 3 + (3 multiplied by 2 + 5 multiplied by 5)
f A LaTex expression showing 3 + (3 multiplied by 2 multiplied by 5 multiplied by 5)