Free Printable SB Lesson 2-5 Solving Literal Equations for a Variable

1.

What is a Literal Equation?

a)

An equation with more than one variable, and can be solved for a specific variable.

b)

An equation with only one variable, and can't be solved.

c)

An equation with only one variable, and can be solved.

d)

An equation that has no variables, only numbers and operations.

2.

Solve the equation.

2x\ +\ 8\ =\ 24

Is it a literal equation or algebraic equation?

a)

$x=8$ Literal Equation

b)

$x=8$ Algebraic Equation

c)

$x=16$ Literal Equation

d)

$x=-8$ Algebraic Equation

3.

Solve the equation

2x\ +\ w\ =\ 16

for x.

a)

$x\ =\ 8\ -\ \frac{w}{2}$

b)

$w\ =\ 16\ -\ \frac{x}{2}$

c)

$x\ =\ 16\ -\ 2w$

d)

$x\ =\ 2w\ +16$

4.

Solve the equation

cb\ -\ 20=\ -10

for b.

a)

$b\ =\ \frac{10}{c}$

b)

$b=\frac{c}{10}$

c)

$b=-30\ -\ c$

d)

$c\ =\ \frac{10}{b}$

5.

Solve the equation

-12q\ +\ r\ =-48

for q.

a)

$q=4+\frac{r}{12}$

b)

$q=-4+\frac{r}{12}$

c)

$q=4-\frac{r}{12}$

d)

$r=4+\frac{q}{12}$

6.

Is the equation $-33x+9=21w-3$ a literal equation? Explain.

a)

Yes, it has more than one variable.

b)

Yes, it has the same variables.

c)

No, it has more than one variable.

d)

No, it has the same variables.

7.

Is the equation $6w+2=4w-8$ a literal equation? Explain.

a)

Yes, it has more than one variable.

b)

Yes, it has the same variables.

c)

No, it has more than one variable.

d)

No, it has the same variables.

8.

In the equation $z+2y=26$ to solve for z, what is the first step and property?

a)

Subtract 2y from both sides, subtraction property of equality.

b)

Add 2y from both sides, addition property of equality.

c)

Divide by 2 to both sides, division property of equality.

d)

Subtract z to both sides, subtraction property of equality.

9.

Solve the equation $mx+b=y$ for x.

a)

$x=\frac{y-b}{m}$

b)

$x=my+b$

c)

$x=\frac{b}{m}-y$

d)

$y=mx+b$

10.

In the equation $b=\frac{w}{t}$ to solve for w, what is the first step and property?

a)

Multiply both sides by t, multiplication property of equality.

b)

Divide both sides by b, division property of equality.

c)

Subtract both sides by t, subtraction property of equality

d)

Add w to both sides, addition property of equality.

11.

In the equation $2\left(2b+4e\right)=-20$ solve for e.

a)

$e=-\frac{5}{2}-\frac{1}{2}b$

b)

$e=-\frac{5}{2}+\frac{1}{2}b$

c)

$e=4b-40$

d)

$e=\frac{1}{2}-\frac{5}{2}b$

12.

In the equation $x+6w=4$ solve for x.

a)

$x=4-6w$

b)

$x=6-4w$

c)

$x=24w-\frac{2}{3}$

d)

$x=-4+6w$

SB Lesson 2-5 Solving Literal Equations for a Variable

Total questions: 12

Worksheet time: 3600secs

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