Open Up - Grade 7 - Mathematics - Unit 6 - Lesson 4

Draw a square with side length 7 cm.

Predict the perimeter and the length of the diagonal of the square.

Find the products.

Find the products.

Find the products.

Find the products.

Find the products.

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. 3x + 6 = 27

2. 6x +3 = 27

3. 27x + 3 = 6

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

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. 3x + 6 = 27

2. 6x +3 = 27

3. 27x + 3 = 6

Find the solution to each equation.

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

Plot these points on the coordinate plane: (Show your work)

A = (3,2), B = (7.5,2), C = (7.5,-2.5),D = (3,-2)

What is the vertical difference between D and A?(Short answer)

Plot these points on the coordinate plane: (Show your work)

A = (3,2), B = (7.5,2), C = (7.5,-2.5),D = (3,-2)

What is the vertical difference between B and C?(Short answer)