Algebra - Lesson Solving Literal Equations

Algebra - Lesson Solving Literal Equations

Multiple Choice

What is the reciprocal of $\frac{7}{8}$  ?

• 1

•  $\frac{14}{16}$  

•  $\frac{8}{7}$ 

•  $\frac{7}{8}$ 

Multiple Choice

Find the reciprocal of 7

• 
  $\frac{1}{7}$

• $\frac{7}{1}$

• 1 $\frac{1}{7}$

• $\frac{7}{7}$

Multiple Choice

What property is this?

• Multiplicative Inverse

• Multiplicative Identity

• Commutative

• Associative

Multiple Choice

When using the inverse property, which shows its applicationin solving the below equation?

 $\frac{1}{2}x=10$  

•  $2\cdot\frac{1}{2}x=10\cdot2$  

•  $\frac{1}{2}\cdot\frac{1}{2}x=10\cdot\frac{1}{2}$  

•  $2+\frac{1}{2}x=10+2$  

•  $\frac{1}{10}\cdot\frac{1}{2}x=10\cdot\frac{1}{10}$  

Multiple Choice

Solve the literal equation for the given variable.

• $x=\frac{y-b}{m}$

• $x=\frac{y}{m}-b$

• $x=y-\frac{b}{m}$

• $x=m\left(y-b\right)$

Multiple Choice

Given:

 $d=rt$   Solve for r. 

•  $r=\frac{t}{d}$  

•  $t\ =\ \frac{d}{r}$  

•  $d=\frac{r}{t}$  

•  $r=\frac{d}{t}$  

Multiple Choice

Given:

 $ax-b=c$   

Solve for x.

•  $x\ =\ \frac{c+b}{a}$  

•  $x\ =\ \frac{c-b}{a}$  

•  $x\ =\ \frac{a+b}{c}$  

•  $x\ =\ \frac{c+a}{b}$