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9-12 Integrated Math 1 Unit 4 Lesson 7

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Unit 4, Lesson 7

Explaining Steps for Rewriting Equations

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Integrated Math 1

Practice

Problem 1

Student Task Statement

Match each equation with an equivalent equation. Some of the answer choices are not used.

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Problem 2

Student Task Statement

Mai says that equations A and B have the same solution.

Equation A:
Equation B:

Which statement explains why this is true?

Adding 3 to both sides of Equation A gives .

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Problem 3

Student Task Statement

Is 0 a solution to ? Explain or show your reasoning.

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Problem 4

Student Task Statement

Kiran says that a solution to the equation must also be a solution to the equation .

Write a convincing explanation as to why this is true.

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Problem 5

ForLesson 4: Equations and Their Solutions

Student Task Statement

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 represents the cost of ordering potted plants at a second store.

What does the represent in this situation?

The cost for each potted plant at the second store
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

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Problem 6

ForLesson 6: Equivalent Equations

Student Task Statement

Which equation is equivalent to the equation ?

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Problem 7

ForLesson 4: Equations and Their Solutions

Student Task Statement

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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Problem 8

ForLesson 5: Equations and Their Graphs

Student Task Statement

The graph shows the relationship between temperature in degrees Celsius and temperature in degrees Fahrenheit.

<p>Graph of a line. Degrees, Celsius. Degrees, Fahrenheit.</p>

Mark the point on the graph that shows the temperature in Celsius when it is 60 degrees Fahrenheit.
Mark the point on the graph that shows the temperature in Fahrenheit when it is 60 degrees Celsius.
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.
The equation that converts Fahrenheit to Celsius is . 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.)

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Problem 9

ForLesson 6: Equivalent Equations

Student Task Statement

Diego’s age, is 5 more than 2 times his sister’s age, . This situation is represented by the equation . Which equation is equivalent to the equation ?

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Problem 10

ForLesson 13: Incorporating Rotations

Student Task Statement

Here is triangle . Match the description of the rotation with the image of under that rotation.

<p>Triangle P O G on an isometric grid. Side G O is located on a vertical grid line, and P is located horizontally to the right of G.</p>

<p>Triangle P prime O prime G prime on isometric grid.</p> — Image 1

<p>Triangle P prime O prime G prime. Side P prime O prime is vertical on the grid, with P prime below O prime. G prime is located down and to the right from O prime.</p> — Image 2

<p>Triangle P prime O prime G prime. Side P prime O prime is vertical on the grid, with O prime below P prime. G prime is located up and to the left from O prime.</p> — Image 3

<p>Triangle P prime O prime G prime. Side P prime O prime is on a slanted grid line with P prime located down and to the right from O prime. G prime is located up and to the right from O prime.</p> — Image 4

Rotate 60 degrees counterclockwise around .
Rotate 60 degrees clockwise around .

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Lesson 7 Resources

Student Materials Student Materials in Spanish

Applying the distributive property to Equation A gives .

Subtracting 3 from both sides of Equation A gives .

Dividing both sides of Equation A by -3 gives .

Rotate 120 degrees clockwise around .

Rotate 60 degrees clockwise around .

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