Lesson 11 Explaining the Steps for Rewriting an Equation

Lesson 11 Explaining the Steps for Rewriting an Equation

Multiple Select

Select all equations that are equivalent to

 $3x+6=4x+7$  

•  $9x=4x+7$  

•  $3x+18=4x+7$  

•  $3x=4x+7$  

•  $3x-1=4x$  

•  $7x=1$  

Multiple Select

Select all equations that are equivalent to

 $3\left(x+6\right)=4x+7$  

•  $9x=4x+7$  

•  $3x+18=4x+7$  

•  $3x=4x+7$  

•  $3x-1=4x$  

•  $7x=1$  

Multiple Select

Select all equations that are equivalent to

 $4x+3x=7-6$  

•  $9x=4x+7$  

•  $3x+18=4x+7$  

•  $3x=4x+7$  

•  $3x-1=4x$  

•  $7x=1$  

Multiple Choice

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.

Multiple Choice

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

• Yes

• No

Multiple Choice

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

Is this true?

• Yes

• No

Multiple Choice

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 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

Multiple Choice

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

• 35x=45

• 5x=75

• 5(x+30)=45

• 5(x+6)=45

Fill in the Blank

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?

Type in the number only with two decimal places.

Open Ended

Multiple Select

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

• 2x=10

• 2x=20

• 2(x−5)=15

• 2x−20=0

• 4x−10=30

Multiple Choice

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−5=2s

• d−2=s+5

• d/2=s+5