# Lesson 1

Half as Much Again

Let’s use fractions to describe increases and decreases.

### Problem 1

Match each situation with a diagram.

### Problem 2

Elena walked 12 miles. Then she walked \(\frac{1}{4}\) that distance. How far did she walk all together? Select **all** that apply.

\(12 + \frac14\)

\(12 \boldcdot \frac14\)

\(12+\frac14 \boldcdot 12\)

\(12\left(1+\frac14 \right)\)

\(12 \boldcdot \frac34\)

\(12 \boldcdot \frac54\)

### Problem 3

Write a story that can be represented by the equation \(y=x+\frac14x\).

### Problem 4

Select **all** ratios that are equivalent to \(4 : 5\).

\(2 : 2.5\)

\(2 : 3\)

\(3 : 3.75\)

\(7 : 8\)

\(8 : 10\)

\(14 : 27.5\)

### Problem 5

Jada is making circular birthday invitations for her friends. The diameter of the circle is 12 cm. She bought 180 cm of ribbon to glue around the edge of each invitation. How many invitations can she make?