Equivalent Equations

Which of the following expressions is equivalent to 12a + 3a?

• a(12 + 3a)
• 3a(4 + 1)
• 3(12a + a)
• a(12 + 3a)

Tags

CCSS.6.EE.A.4

Find an equivalent expression for the given expression: 36x + 24

• 4(9x + 7)
• 4(9x + 8)
• 2(18x + 12)
• 12(3x + 3)

Tags

CCSS.6.EE.A.4

Which answer choice is equivalent to:

12x-16

Select all that apply.

• 3(4x+5)

• 3(4x-6)

• 4(4x-3)

• 4(3x-4)

• 8x-(4⋅4)+4x

Tags

CCSS.6.EE.A.4

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.8.EE.C.7A

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.HSA.REI.A.1

Tags

CCSS.6.EE.B.5

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.HSA.REI.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.8.EE.C.7A

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.8.F.B.4

CCSS.HSF.LE.A.2

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.8.EE.C.7A