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Algebraic Functions - Variable Substitution to Equation - Bracketed Terms (Level 2)

This math topic focuses on practicing the skill of variable substitution into algebraic expressions with bracketed terms, as a part of broader units on negative integers. Learners are given algebraic expressions with variables, and they must substitute provided specific integer values for these variables to simplify the expression. The topics predominantly involve calculating with negative integers, understanding order of operations, and combining like terms. Exercises present various solutions for each problem, where learners are likely expected to identify the correct simplified expression. This helps in enhancing algebraic manipulation skills and understanding expressions' behavior with integers.

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

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

What does this equation become when z=5, r=3

4(5z−6r)4(5z - 6r)

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 2)'. Part of a broader unit on 'Exponents - Practice' Learn online: app.mobius.academy/math/units/exponents_practice/
1
What does this equation become when d=5, n=3
A LaTex expression showing 3(3d - 6n)
a A LaTex expression showing 3 multiplied by (3 multiplied by 5 - 6 multiplied by 3)
b A LaTex expression showing 3 multiplied by 5 - 6 multiplied by 3
c A LaTex expression showing 3 + (3 multiplied by 5 multiplied by 6 multiplied by 3)
d A LaTex expression showing -3 multiplied by 5 - 6 multiplied by 3
e A LaTex expression showing 3 + (3 multiplied by 5 + 6 multiplied by 3)
f A LaTex expression showing 3 multiplied by (3 multiplied by 5 + 6 multiplied by 3)
2
What does this equation become when n=3, b=4
A LaTex expression showing 2(5n - 6b)
a A LaTex expression showing 2 + (5 multiplied by 3 + 6 multiplied by 4)
b A LaTex expression showing 2 + (5 multiplied by 3 multiplied by 6 multiplied by 4)
c A LaTex expression showing 2 multiplied by (5 multiplied by 3 + 6 multiplied by 4)
d A LaTex expression showing -5 multiplied by 3 - 6 multiplied by 4
e A LaTex expression showing 5 multiplied by 3 - 6 multiplied by 4
f A LaTex expression showing 2 multiplied by (5 multiplied by 3 - 6 multiplied by 4)
3
What does this equation become when c=3, z=2
A LaTex expression showing 6(2c - 4z)
a A LaTex expression showing -2 multiplied by 3 - 4 multiplied by 2
b A LaTex expression showing 6 + (2 multiplied by 3 multiplied by 4 multiplied by 2)
c A LaTex expression showing 6 multiplied by (2 multiplied by 3 - 4 multiplied by 2)
d A LaTex expression showing 6 + (2 multiplied by 3 + 4 multiplied by 2)
e A LaTex expression showing 6 multiplied by (2 multiplied by 3 + 4 multiplied by 2)
f A LaTex expression showing 2 multiplied by 3 - 4 multiplied by 2
4
What does this equation become when c=5, z=4
A LaTex expression showing 6(6c - 6z)
a A LaTex expression showing 6 multiplied by (6 multiplied by 5 - 6 multiplied by 4)
b A LaTex expression showing 6 multiplied by 5 - 6 multiplied by 4
c A LaTex expression showing -6 multiplied by 5 - 6 multiplied by 4
d A LaTex expression showing 6 + (6 multiplied by 5 + 6 multiplied by 4)
e A LaTex expression showing 6 + (6 multiplied by 5 multiplied by 6 multiplied by 4)
f A LaTex expression showing 6 multiplied by (6 multiplied by 5 + 6 multiplied by 4)
5
What does this equation become when c=2, m=3
A LaTex expression showing 4(2c - 6m)
a A LaTex expression showing 4 + (2 multiplied by 2 multiplied by 6 multiplied by 3)
b A LaTex expression showing 4 + (2 multiplied by 2 + 6 multiplied by 3)
c A LaTex expression showing -2 multiplied by 2 - 6 multiplied by 3
d A LaTex expression showing 4 multiplied by (2 multiplied by 2 - 6 multiplied by 3)
e A LaTex expression showing 2 multiplied by 2 - 6 multiplied by 3
f A LaTex expression showing 4 multiplied by (2 multiplied by 2 + 6 multiplied by 3)
6
What does this equation become when m=5, n=4
A LaTex expression showing 6(6m - 5n)
a A LaTex expression showing 6 + (6 multiplied by 5 multiplied by 5 multiplied by 4)
b A LaTex expression showing -6 multiplied by 5 - 5 multiplied by 4
c A LaTex expression showing 6 + (6 multiplied by 5 + 5 multiplied by 4)
d A LaTex expression showing 6 multiplied by (6 multiplied by 5 - 5 multiplied by 4)
e A LaTex expression showing 6 multiplied by 5 - 5 multiplied by 4
f A LaTex expression showing 6 multiplied by (6 multiplied by 5 + 5 multiplied by 4)
7
What does this equation become when r=3, x=2
A LaTex expression showing 2(3r - 4x)
a A LaTex expression showing -3 multiplied by 3 - 4 multiplied by 2
b A LaTex expression showing 2 + (3 multiplied by 3 + 4 multiplied by 2)
c A LaTex expression showing 2 multiplied by (3 multiplied by 3 - 4 multiplied by 2)
d A LaTex expression showing 2 multiplied by (3 multiplied by 3 + 4 multiplied by 2)
e A LaTex expression showing 3 multiplied by 3 - 4 multiplied by 2
f A LaTex expression showing 2 + (3 multiplied by 3 multiplied by 4 multiplied by 2)