Illustrative Math - Algebra 1 - Unit 2- Lesson 7 - Formative Library | Library

Match each equation with an equivalent equation. 

Some of the answer choices are not used.

3x-1=4x
9x=4x+7
7x=1
3x=4x+7
3x+18=4x+7

3x+6=4x+7
3(x+6)=4x+7
4x+3x=7-6

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Mai says that equations A and B have the same solution.
Equation A: -3(x+7)=24
Equation B: x+7=-8
Which statement explains why this is true?

Adding 3 to both sides of Equation A gives  x+7=-8.

Applying the distributive property to Equation A gives  x+7=-8.

Subtracting 3 from both sides of Equation A gives  x+7=-8.

Dividing both sides of Equation A by -3 gives  x+7=-8.

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Is 0 a solution to 2x+10=4x+10? 

Explain or show your reasoning.

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Kiran says that a solution to the equation x+4=20 must also be a solution to the equation 5(x+4)=100.

Write a convincing explanation as to why this is true.

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The entrepreneurship club is ordering potted plants for all 36 of its sponsors. One store charges $8.50 for each plant plus a delivery fee of $20. The equation 320=x+7.50(36) represents the cost of ordering potted plants at a second store.

What does the x represent in this situation?

The delivery fee at the second store

The total cost of ordering potted plants at the second store

The number of sponsors of the entrepreneurship club

The cost for each potted plant at the second store

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Which equation is equivalent to the equation 5x+30=45?

5(x+30)=45

5x=75

5(x+6)=45

35x=45

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The environmental science club is printing T-shirts for its 15 members. The printing company charges a certain amount for each shirt plus a setup fee of $20.

If the T-shirt order costs a total of $162.50, how much does the company charge for each shirt?

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The graph shows the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit.
Mark the point on the graph that shows the temperature in Celsius when it is 60 degrees Fahrenheit.(Show Your Work)

Mark the point on the graph that shows the temperature in Fahrenheit when it is 60 degrees Celsius.(Show Your Work)

Water boils at 100 degrees Celsius. Use the graph to approximate the boiling temperature in Fahrenheit, or to confirm it, if you knew what it is.(Show Your Work)

The equation that converts Celsius to Fahrenheit is C=\frac{5}{9}(F-32). Use it to calculate the temperature in Celsius when it is 60 degrees Fahrenheit. (This answer will be more exact than the point you found in the first part.)(Short Answer)

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Select all the equations that have the same solution as 2x-5=15.

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10.

Diego’s age d is 5 more than 2 times his sister’s age s. This situation is represented by the equation d=2s+5. 

Which equation is equivalent to the equation d=2s+5?

d=2(s+5)

d-2=s+5

\frac{d}{2}=s+5

d-5=2s

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This lesson is from Illustrative Mathematics. Algebra 1, Unit 2, Lesson 7. Internet. Available from https://curriculum.illustrativemathematics.org/HS/teachers/1/2/7/index.html ; accessed 26/July/2021.

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