Topic 4, Lessons 1-5

Which of the following shows an inverse relationship?

• Multiply by 5 and Divide by 5

• Multiply by 5 and Subtract by 5

• Multiply by 5 and Divide by 10

• Add by 3 and Subtract by 6

Operations that are known to undo each other are known as what type of relationship?

• equality

• inverse

• reciprocal

• equivalent

Which equation is NOT equivalent to n - 9 = 12

• n - n - 9 = 12 - n

• n - 9 + 12 = 12 - 9

• n - 9 + 9 = 12 + 9

• n - 9 - n = 12 - n

• n - 9 + 9 = 12 - 12

Which value for d makes the equation  $9\ =\ 18\ \div\ d$  true? Select all that apply.

• 2

• 0.5

•  $\frac{10}{5}$  

• 162

•  $\frac{1}{4}$  

The area of a rectangle is 97.5 square centimeters. The area formula for a rectangle is A = lw. Which option has a correct equation to find the width of rectangle?

• 13 = 97.5w

• 13 + w = 97.5

• $97.5\ =\ 13\ \div\ w$

• 97.5 = 13w

The area of a rectangle is 97.5 square centimeters. The area formula for a rectangle is A = lw. Find the width of the rectangle.

• 6.5 cm

• 5 cm

• 7.5 cm

• 90 cm

What is an equation that can be written for the situation:

 A fraction f multiplied by 4 equals  $\frac{1}{2}$  .

•  $4f\ =\ \frac{1}{2}$  

•  $4\ \times\ \frac{1}{2\ }=f$  

•  $\frac{1}{2}f\ =\ 4$  

Solve this equation:
 $4f\ =\ \frac{1}{2}$  

• 2

• 8

•  $\frac{1}{8}$  

•  $\frac{1}{4}$  

To solve  $4f\ =\ \frac{1}{2}$  , You could multiply both sides by the reciprocal of 4, or  $\frac{1}{4}$  .

• True

• False

What is an equation that can be written for the following:

When 832 is divided by n, the result is 16.

• $832\div n\ =\ 16$

• $n\ \div\ 832\ =\ 16$