7.6 End of Mission Assessment

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1. The table shows two inequalities and three possible values for x. Decide whether each value for x makes the inequality true or false and complete the table by circling either true or false.

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2. Marie-Renee wants to hang 4 identical posters on her wall. The wall is 16 feet wide, and there must be at least 5 feet of space total between the posters and between the edges of the wall. How wide can the posters be?

a) Marie-Renee write the inequality 4w + 5 ≤ 16 to help her plan. Match each statement below to describe what w, 4w, 5, and 16 represent in this inequality.

Draggable item		Corresponding Item
the width of each poster		w represents
the total amount of space between the posters and the edge of the wall		4w represents
the width of the wall		5 represents
the combined width of 4 posters		16 represents

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2b. Marie-Renee knows to find the acceptable width of each poster, she must first solve the associated equation to find the boundary value for her inequality.
Solve 4w + 5 = 16 and show your work.

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2c. Does the boundary value you found in part (b) make Marie-Renee's inequality true or false?
Show your work and explain your reasoning.

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2d. Write the solution to Marie-Renee's inequality and interpret it within the context of the problem. 

Each poster can be a (minimum or maximum?)_______ of _______ feet wide. 

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4. Anja is reading a 150-page book. She reads 15 pages each day, decreasing the total number of pages left to read. How many days could have passed if Anja has at least 30 more pages left to read?
a) Create an inequality to model the situation.

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4b. Solve the equation associated to the inequality you created in part (a).

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4c. Using your work from part (b), write the solution to your inequality you created in part (a) and graph the solution set on the number line below.

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4d. Are there any values that are part of the solution set to your inequality you created in part (a) that are not viable solutions in the context of the problem your inequality models? Explain

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5. Write two expressions for the area of the big rectangle.

Write ONE expression here.

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5. Write two expressions for the area of the big rectangle.

Write your second expression here.

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6. Use the distributive property to write an expression that is equivalent to 3(-4 - 5x) in expanded form.
Use the boxes to organize your thinking.

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7. Use the distributive property to write an expression that is equivalent to 10a - 15b + 25 in factored form.
Use the boxes to show your work.

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8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) 12x - 3x

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8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) -5y - 7y

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8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
c) 2x + 3y - 4x

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8. Write each expression using fewer terms. Show your work and/or explain your reasoning.

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9. Write each expression using fewer terms. Show your work and/or explain your reasoning.

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1. The table shows two inequalities and three possible values for x. Decide whether each value for x makes the inequality true or false and complete the table by circling either true or false.

2b. Marie-Renee knows to find the acceptable width of each poster, she must first solve the associated equation to find the boundary value for her inequality.
Solve 4w + 5 = 16 and show your work.

2c. Does the boundary value you found in part (b) make Marie-Renee's inequality true or false?
Show your work and explain your reasoning.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

4. Anja is reading a 150-page book. She reads 15 pages each day, decreasing the total number of pages left to read. How many days could have passed if Anja has at least 30 more pages left to read?
a) Create an inequality to model the situation.

4b. Solve the equation associated to the inequality you created in part (a).

4c. Using your work from part (b), write the solution to your inequality you created in part (a) and graph the solution set on the number line below.

4d. Are there any values that are part of the solution set to your inequality you created in part (a) that are not viable solutions in the context of the problem your inequality models? Explain

5. Write two expressions for the area of the big rectangle.

Write ONE expression here.

5. Write two expressions for the area of the big rectangle.

Write your second expression here.

6. Use the distributive property to write an expression that is equivalent to 3(-4 - 5x) in expanded form.
Use the boxes to organize your thinking.

7. Use the distributive property to write an expression that is equivalent to 10a - 15b + 25 in factored form.
Use the boxes to show your work.

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) 12x - 3x

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) -5y - 7y

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
c) 2x + 3y - 4x

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.

9. Write each expression using fewer terms. Show your work and/or explain your reasoning.

9. Write each expression using fewer terms. Show your work and/or explain your reasoning.

7.6 End of Mission Assessment

1. The table shows two inequalities and three possible values for x. Decide whether each value for x makes the inequality true or false and complete the table by circling either true or false.

2b. Marie-Renee knows to find the acceptable width of each poster, she must first solve the associated equation to find the boundary value for her inequality. Solve 4w + 5 = 16 and show your work.

2c. Does the boundary value you found in part (b) make Marie-Renee's inequality true or false?Show your work and explain your reasoning.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

3. Complete the table by matching each of the inequalities below with the graph of its solution set.

4. Anja is reading a 150-page book. She reads 15 pages each day, decreasing the total number of pages left to read. How many days could have passed if Anja has at least 30 more pages left to read?a) Create an inequality to model the situation.

4b. Solve the equation associated to the inequality you created in part (a).

4c. Using your work from part (b), write the solution to your inequality you created in part (a) and graph the solution set on the number line below.

4d. Are there any values that are part of the solution set to your inequality you created in part (a) that are not viable solutions in the context of the problem your inequality models? Explain

5. Write two expressions for the area of the big rectangle. Write ONE expression here.

5. Write two expressions for the area of the big rectangle. Write your second expression here.

6. Use the distributive property to write an expression that is equivalent to 3(-4 - 5x) in expanded form. Use the boxes to organize your thinking.

7. Use the distributive property to write an expression that is equivalent to 10a - 15b + 25 in factored form. Use the boxes to show your work.

8. Write each expression using fewer terms. Show your work and/or explain your reasoning. a) 12x - 3x

8. Write each expression using fewer terms. Show your work and/or explain your reasoning. a) -5y - 7y

8. Write each expression using fewer terms. Show your work and/or explain your reasoning. c) 2x + 3y - 4x

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.

9. Write each expression using fewer terms. Show your work and/or explain your reasoning.

9. Write each expression using fewer terms. Show your work and/or explain your reasoning.

2b. Marie-Renee knows to find the acceptable width of each poster, she must first solve the associated equation to find the boundary value for her inequality.
Solve 4w + 5 = 16 and show your work.

2c. Does the boundary value you found in part (b) make Marie-Renee's inequality true or false?
Show your work and explain your reasoning.

4. Anja is reading a 150-page book. She reads 15 pages each day, decreasing the total number of pages left to read. How many days could have passed if Anja has at least 30 more pages left to read?
a) Create an inequality to model the situation.

5. Write two expressions for the area of the big rectangle.

Write ONE expression here.

5. Write two expressions for the area of the big rectangle.

Write your second expression here.

6. Use the distributive property to write an expression that is equivalent to 3(-4 - 5x) in expanded form.
Use the boxes to organize your thinking.

7. Use the distributive property to write an expression that is equivalent to 10a - 15b + 25 in factored form.
Use the boxes to show your work.

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) 12x - 3x

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
a) -5y - 7y

8. Write each expression using fewer terms. Show your work and/or explain your reasoning.
c) 2x + 3y - 4x