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

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Last updated 11 months ago
11 questions
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Question 1
1.

Draw a square with side length 7 cm.

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

Question 2
2.

Find the products.

Question 3
3.

Find the products.

Question 4
4.

Find the products.

Question 5
5.

Find the products.

Question 6
6.

Find the products.

Question 7
7.

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?

Question 8
8.

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.

Draggable itemarrow_right_altCorresponding Item
x = 4.3
arrow_right_alt
6x + 3 = 27
x = 7
arrow_right_alt
3x + 6 = 27
arrow_right_alt
27x + 3 =6
Question 9
9.

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

Question 10
10.

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)

Question 11
11.

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)

"Source: Open Up Resouces (Download for free at openupresources.org.)"