EE.7a & EE.7b

What is the solution to the equation 8x + 4(x - 1) = 15x - 10

Which equation(s) has (have) no solution(s)?

• i only

• ii only

• ii and iii

• i and iv

Consider the equations given. Which equations have no solution? Select ALL that apply.

• 2x + x + 8 = 3x - 2

• 4(x -1) + x = 5x - 4 - x

• 7x + 12 = (x + 3) + (x + 4)

• x + 2(4 - x) = 2x + 6 - 3x
  

• 3 - (x + 2) = 2x + 3

Maya cis asked to solve the equation 2(3x + 6) = 3(x - 10). The table shows her steps.

Where did Maya make a mistake in solving the equation, and why?

• Maya made a mistake between the Given and Step 1 because she did not correctly distribute 2 to (3x + 6).

• Maya made a mistake between Step 1 and Step 2 because she did not correctly distribute 3 to (x - 10).

• Maya made a mistake between Step 2 and Step 3 because she did not correctly subtract 3x from 6x.

• Maya made a mistake between Step 3 and Step 4 because she did not correctly subtract 12 from 30.

Study the equation, then select the phrase that best completes the sentence.

-3 + x - 4 = 2 + 3x + 5 - 2x

​ The linear equation has ​ ​ ​ (a)  

• one solution
• infinitely many solutions
• no solution