Equivalent Equations Lesson 2 Practice

Select all equations that are equivalent to

 $3\left(x+6\right)=4x+7$  .

•  $3\left(x+6\right)=4x+7$  

•  $3x=4x+7$  

•  $3x+18=4x+7$  

•  $18=x+7$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3

Mai says that equation A and B have the same solution.
Equation A:

 $-3\left(x+7\right)=24$  

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  $x+7=-8.$  

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

Kiran says that a solution to the equation  $x+4=20\$  must also be a solution to the equation  $5\left(x+4\right)=100$  .  Select the most convincing reason why this is true.

• It just is.

• If you multiply both sides of  $x+4=20$  by 5, you get  $5\left(x+4\right)=100$  .

• Because  $5x+4=100$  .

• The equations are just equivalent.

Tags

CCSS.6.EE.A.3

CCSS.6.EE.A.4

CCSS.6.EE.B.5

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\left(36\right)\$  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

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

•  $35x=45$  

•  $5x=75$  

•  $5\left(x+30\right)=45$  

•  $5\left(x+6\right)=45$  

Tags

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.B.3

The math 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?

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.4

CCSS.HSA.REI.A.1

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.A.1

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

•  $2x=10$  

•  $2x=20$  

•  $2\left(x-5\right)=15$  

•  $2x-20=0$  

•  $4x-10=30$  

Tags

CCSS.HSA.REI.B.3

CCSS.HSA.SSE.B.3

Diegos's age is n 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?

• $d=2\left(s+5\right)$

• $d-5=2s$

• $d-2=s+5$

• $\frac{d}{2}=s+5$

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.SSE.A.2

CCSS.HSA.SSE.B.3