7.6.21

Last updated about 2 years ago

9 questions

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4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?
a) Write an inequality to represent this situation.

**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

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4b. Solve the inequality, graph the solution, and describe what your answer means.

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5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings.
7(9 - x) ≥ 42

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5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

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6. A certain shade of blue paint is made by mixing 1 & 1/2 quarts of blue paint with 5 quarts of white paint.  If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix?
You should mix _______ quarts of blue paint with 
_______ quarts of white paint.

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1. Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says taht 9x - 2x + 4x is equivalent to 11x because the subtraction only applies to 2x.
Do you agree with either of them?

I agree with Noah, you have to subtract everything after the equal sign. 

I agree with Elena, the subtraction sign only applies to the 2x.

I disagree with both of them.

2. Identify the error in generating an expression equivalent to
Then, correct the error in the space provided.

The error is in the first step when they distributed the -1/2.

The error is in the second step when they changed + -5 to -5.

The error is in the last step when they combined all of the terms and got -1 for the answer.

There is no error.

3. Select ALL expressions that are equivalent to
5x - 15 - 20x + 10

4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?
a) Write an inequality to represent this situation.

**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

4b. Solve the inequality, graph the solution, and describe what your answer means.

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings.
7(9 - x) ≥ 42

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

6. A certain shade of blue paint is made by mixing 1 & 1/2 quarts of blue paint with 5 quarts of white paint.  If you need a total of 16.25 gallons of this shade of blue paint, how much of each color should you mix?
You should mix _______ quarts of blue paint with 
_______ quarts of white paint.

Exit Ticket
Select ALL expressions that are equivalent to:
16x - 12 - 24x + 4

Show or explain your reasoning in the space provided.

1. 4 + 16x - 12(1 + 2x) 

2. 40x - 16

3. 16x - 24x - 4 + 12

4. -8x - 8

1. Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says taht 9x - 2x + 4x is equivalent to 11x because the subtraction only applies to 2x. 
Do you agree with either of them? 

I agree with Noah, you have to subtract everything after the equal sign. 

I agree with Elena, the subtraction sign only applies to the 2x.

I disagree with both of them.

2. Identify the error in generating an expression equivalent to 
Then, correct the error in the space provided.

The error is in the first step when they distributed the -1/2.

The error is in the second step when they changed + -5 to -5.

The error is in the last step when they combined all of the terms and got -1 for the answer.

There is no error.

3. Select ALL expressions that are equivalent to 
5x - 15 - 20x + 10

a) 5x - (15 + 20x) + 10

b) 5x - 15 + -20x + 10

c) 5 (x - 3 - 4x + 2)

d) -5 (-x + 3 + 4x + -2)

e) -15x - 5

f) -5 (3x + 1)

Exit Ticket
Select ALL expressions that are equivalent to:
16x - 12 - 24x + 4

Show or explain your reasoning in the space provided. 

1. 4 + 16x - 12(1 + 2x) 

2. 40x - 16

3. 16x - 24x - 4 + 12

4. -8x - 8

7.6.21

4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?a) Write an inequality to represent this situation.**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

4b. Solve the inequality, graph the solution, and describe what your answer means.

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings. 7(9 - x) ≥ 42

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

1. Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.Elena says taht 9x - 2x + 4x is equivalent to 11x because the subtraction only applies to 2x. Do you agree with either of them?

2. Identify the error in generating an expression equivalent to Then, correct the error in the space provided.

3. Select ALL expressions that are equivalent to 5x - 15 - 20x + 10

4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?a) Write an inequality to represent this situation.**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

4b. Solve the inequality, graph the solution, and describe what your answer means.

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings. 7(9 - x) ≥ 42

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

Exit TicketSelect ALL expressions that are equivalent to:16x - 12 - 24x + 4Show or explain your reasoning in the space provided.

4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?
a) Write an inequality to represent this situation.

**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings.
7(9 - x) ≥ 42

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

1. Noah says that 9x - 2x + 4x is equivalent to 3x, because the subtraction sign tells us to subtract everything that comes after 9x.
Elena says taht 9x - 2x + 4x is equivalent to 11x because the subtraction only applies to 2x.
Do you agree with either of them?

2. Identify the error in generating an expression equivalent to
Then, correct the error in the space provided.

3. Select ALL expressions that are equivalent to
5x - 15 - 20x + 10

4. The school marching band has a budget of up to $750 to cover 15 new uniforms and competition fees that total $300. How much can they spend for one uniform?
a) Write an inequality to represent this situation.

**Reminder: Inequalities use the following symbols instead of = signs: <, >, ≤, ≥.

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
a) For every $9 that Elena earns, she gives x dollars to charity. This happens 7 times this month. Elena wants to be sure she keeps at least $42 from this month's earnings.
7(9 - x) ≥ 42

5. Solve the inequality that represents each story. Then interpret what the solution means in the story.
b) Lin buys a candle that is 9 inches tall and burns down x inches per minute. She wants to let the candle burn for 7 minutes until it is less than 6 inches tall. 9 - 7x < 6

Exit Ticket
Select ALL expressions that are equivalent to:
16x - 12 - 24x + 4

Show or explain your reasoning in the space provided.