Lesson 4

Half as Much Again

Problem 1

Match each situation with a diagram.

Tape diagrams A, B, C.

Solution

For access, consult one of our IM Certified Partners.

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.

A:

\(12 + \frac14\)

B:

\(12 \boldcdot \frac14\)

C:

\(12+\frac14 \boldcdot 12\)

D:

\(12\left(1+\frac14 \right)\)

E:

\(12 \boldcdot \frac34\)

F:

\(12 \boldcdot \frac54\)

Solution

For access, consult one of our IM Certified Partners.

Problem 3

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

Solution

For access, consult one of our IM Certified Partners.

Problem 4

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

A:

\(2 : 2.5\)

B:

\(2 : 3\)

C:

\(3 : 3.75\)

D:

\(7 : 8\)

E:

\(8 : 10\)

F:

\(14 : 27.5\)

Solution

For access, consult one of our IM Certified Partners.

(From Unit 4, Lesson 1.)

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?

Solution

For access, consult one of our IM Certified Partners.

(From Unit 3, Lesson 10.)