Lesson 4: Practice Problems

Problem 1

Here are three stories:

  • A family buys 6 tickets to a show. They also pay a $3 parking fee. They spend $27 to see the show.

  • Diego has 27 ounces of juice. He pours equal amounts for each of his 3 friends and has 6 ounces left for himself.

  • Jada works for 6 hours preparing for the art fair. She spends 3 hours on a sculpture and then paints 27 picture frames.

Here are three equations:

  1. Decide which equation represents each story. What does represent in each equation?

  2. Find the solution to each equation. Explain or show your reasoning.

  3. What does each solution tell you about its situation?

Problem 2

Here is a diagram and its corresponding equation. Find the solution to the equation and explain your reasoning.

A tape diagram labeled 21 with 6 segments, x and a long blue segment labeled 11.

Problem 3

For each object, choose an appropriate scale for a drawing that fits on a regular sheet of paper. Not all of the scales on the list will be used.

Objects

  1. A person

  2. A football field (120 yards by 53 yards)

  3. The state of Washington (about 240 miles by 360 miles)

  4. The floor plan of a house

  5. A rectangular farm (6 miles by 2 miles)

Scales

  1. 1 in : 1 ft

  2. 1 cm : 1 m

  3. 1 : 1,000

  4. 1 ft : 1 mile

  5. 1 : 100,000

  6. 1 mm : 1 km

  7. 1 : 10,000,000

Problem 4 From Unit 1 Lesson 12

The diagram shows two intersecting lines.

Find the missing angle measures.

Two lines intersecting each other in an X shape forming angles a, b, c, and 102 degrees.