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

This math topic focuses on algebraic functions, specifically practicing the skill of variable substitution into equations that contain multiple fractional terms. It covers basic concepts in algebra and includes exercises where students substitute given values for variables in algebraic expressions and simplify the results. The topic aims to strengthen understanding of managing equations with fractions, variable replacement, and algebraic manipulation. Each question provides multiple-choice answers that involve carrying out the necessary operations to reach the simplified form of the expression.

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Variable Substitution to Equation - Multiple Fractional Terms

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What does this equation become when n=4, b=2, c=3

\frac{{4n}}{{4b}} + 5c

Algebraic Functions - Variable Substitution to Equation - Multiple Fractional Terms Worksheet

Math worksheet on 'Algebraic Functions - Variable Substitution to Equation - Multiple Fractional Terms (Level 1)'. Part of a broader unit on 'Algebra Basic Concepts - Practice' Learn online: app.mobius.academy/math/units/algebra_basic_concepts_practice/

What does this equation become when x=4, d=2, p=3

$A LaTex expression showing \frac{{3x}}{{3d}} + 3p$

a $A LaTex expression showing \frac{{3 times 4 + 3 times 3}}{{3 times 2}}$

b $A LaTex expression showing \frac{{3 times 4}}{{3 times 2}} + 3 times 3$

c $A LaTex expression showing \frac{{3 times 4}}{{3 + 2 + 3 + 3}}$

d $A LaTex expression showing \frac{{3 + 4}}{{3 + 2 + 3 + 3}}$

e $A LaTex expression showing \frac{{3 times 4}}{{3 times 2 - 3 times 3}}$

What does this equation become when m=4, x=3, r=2

$A LaTex expression showing \frac{{6m}}{{4x}} + 6r$

a $A LaTex expression showing \frac{{6 times 4 + 6 times 2}}{{4 times 3}}$

b $A LaTex expression showing \frac{{6 times 4}}{{4 times 3 - 6 times 2}}$

c $A LaTex expression showing \frac{{6 times 4}}{{4 + 3 + 6 + 2}}$

d $A LaTex expression showing \frac{{6 times 4}}{{4 times 3}} + 6 times 2$

e $A LaTex expression showing \frac{{6 + 4}}{{4 + 3 + 6 + 2}}$

What does this equation become when y=4, p=3, z=2

$A LaTex expression showing \frac{{6y}}{{2p}} + 5z$

a $A LaTex expression showing \frac{{6 times 4}}{{2 + 3 + 5 + 2}}$

b $A LaTex expression showing \frac{{6 times 4}}{{2 times 3 - 5 times 2}}$

c $A LaTex expression showing \frac{{6 times 4 + 5 times 2}}{{2 times 3}}$

d $A LaTex expression showing \frac{{6 + 4}}{{2 + 3 + 5 + 2}}$

e $A LaTex expression showing \frac{{6 times 4}}{{2 times 3}} + 5 times 2$

What does this equation become when c=4, y=2, n=3

$A LaTex expression showing \frac{{6c}}{{6y}} + 6n$

a $A LaTex expression showing \frac{{6 times 4}}{{6 times 2}} + 6 times 3$

b $A LaTex expression showing \frac{{6 times 4 + 6 times 3}}{{6 times 2}}$

c $A LaTex expression showing \frac{{6 + 4}}{{6 + 2 + 6 + 3}}$

d $A LaTex expression showing \frac{{6 times 4}}{{6 times 2 - 6 times 3}}$

e $A LaTex expression showing \frac{{6 times 4}}{{6 + 2 + 6 + 3}}$

What does this equation become when y=5, p=2, c=3

$A LaTex expression showing \frac{{4y}}{{2p}} + 2c$

a $A LaTex expression showing \frac{{4 + 5}}{{2 + 2 + 2 + 3}}$

b $A LaTex expression showing \frac{{4 times 5 + 2 times 3}}{{2 times 2}}$

c $A LaTex expression showing \frac{{4 times 5}}{{2 times 2 - 2 times 3}}$

d $A LaTex expression showing \frac{{4 times 5}}{{2 + 2 + 2 + 3}}$

e $A LaTex expression showing \frac{{4 times 5}}{{2 times 2}} + 2 times 3$

What does this equation become when p=2, x=4, b=3

$A LaTex expression showing \frac{{4p}}{{2x}} + 3b$

a $A LaTex expression showing \frac{{4 times 2 + 3 times 3}}{{2 times 4}}$

b $A LaTex expression showing \frac{{4 times 2}}{{2 + 4 + 3 + 3}}$

c $A LaTex expression showing \frac{{4 times 2}}{{2 times 4 - 3 times 3}}$

d $A LaTex expression showing \frac{{4 times 2}}{{2 times 4}} + 3 times 3$

e $A LaTex expression showing \frac{{4 + 2}}{{2 + 4 + 3 + 3}}$

What does this equation become when x=4, c=5, b=2

$A LaTex expression showing \frac{{5x}}{{4c}} + 2b$

a $A LaTex expression showing \frac{{5 times 4}}{{4 + 5 + 2 + 2}}$

b $A LaTex expression showing \frac{{5 times 4}}{{4 times 5 - 2 times 2}}$

c $A LaTex expression showing \frac{{5 times 4}}{{4 times 5}} + 2 times 2$

d $A LaTex expression showing \frac{{5 + 4}}{{4 + 5 + 2 + 2}}$

e $A LaTex expression showing \frac{{5 times 4 + 2 times 2}}{{4 times 5}}$