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

This math topic focuses on practicing algebraic functions through variable substitution in equations with fractional and negative terms. The questions are structured to enhance understanding of how to manipulate algebraic expressions when specific values are substituted for the variables. Each problem presents an equation followed by multiple choices, requiring the solver to substitute negative or fractional values for variables like \( x, y, z, m, c, b \), etc., and simplify the expression to find the correct answer. This practice emphasizes handling negative integers and understanding the effects of arithmetic operations on them.

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Variable Substitution to Equation - Fractional Terms (Negatives)

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What does this equation become when y=5, b=-4

-\frac{{4y}}{{5b}}

Algebraic Functions - Variable Substitution to Equation - Fractional Terms (Negatives) Worksheet

Math worksheet on 'Algebraic Functions - Variable Substitution to Equation - Fractional Terms (Negatives) (Level 1)'. Part of a broader unit on 'Negative Integers - Practice' Learn online: app.mobius.academy/math/units/negative_integers_practice/

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

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

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

b $A LaTex expression showing \frac{{4 to the power of {3 }}}{{3 to the power of {-2 }}}$

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

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

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

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

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

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

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

A LaTex expression showing 4 to the power of {-3 } + 2 to the power of {-2 }

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

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

A LaTex expression showing 4 - -3 + 2 - -2

f $A LaTex expression showing \frac{{4 to the power of {-3 }}}{{2 to the power of {-2 }}}$

What does this equation become when z=-5, m=5

$A LaTex expression showing \frac{{5z}}{{5m}}$

a $A LaTex expression showing \frac{{5 - -5}}{{5 - 5}}$

b $A LaTex expression showing \frac{{5 to the power of {-5 }}}{{5 to the power of {5 }}}$

A LaTex expression showing 5 - -5 + 5 - 5

d $A LaTex expression showing \frac{{5 times -5}}{{5 times 5}}$

e $A LaTex expression showing \frac{{5 + -5}}{{5 + 5}}$

A LaTex expression showing 5 to the power of {-5 } + 5 to the power of {5 }

What does this equation become when c=-4, z=-2

$A LaTex expression showing \frac{{6c}}{{6z}}$

A LaTex expression showing 6 - -4 + 6 - -2

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

c $A LaTex expression showing \frac{{6 to the power of {-4 }}}{{6 to the power of {-2 }}}$

A LaTex expression showing 6 to the power of {-4 } + 6 to the power of {-2 }

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

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

What does this equation become when y=-3, z=-5

$A LaTex expression showing -\frac{{5y}}{{3z}}$

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

b $A LaTex expression showing \frac{{5 + -3}}{{3 + -5}}$

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

d $A LaTex expression showing \frac{{5 - -3}}{{3 - -5}}$

e $A LaTex expression showing -\frac{{5 times -3}}{{3 times -5}}$

f $A LaTex expression showing \frac{{5 to the power of {-3 }}}{{3 to the power of {-5 }}}$

What does this equation become when d=3, y=-2

$A LaTex expression showing \frac{{6d}}{{3y}}$

a $A LaTex expression showing \frac{{6 to the power of {3 }}}{{3 to the power of {-2 }}}$

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

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

A LaTex expression showing 6 to the power of {3 } + 3 to the power of {-2 }

A LaTex expression showing 6 - 3 + 3 - -2

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

What does this equation become when m=-2, p=2

$A LaTex expression showing -\frac{{3m}}{{3p}}$

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

b $A LaTex expression showing \frac{{3 to the power of {-2 }}}{{3 to the power of {2 }}}$

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

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

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

f $A LaTex expression showing -\frac{{3 - -2}}{{3 - 2}}$