Equations

Describe the solution set:
2(x + 5) = 2x + 5

• one solution
• no solution
• infinitely many solutions
• two solutions

Solve the equation:
3(x - 1) = 2x + 9

• x = 12
• no solution
• x = 10
• x = 6

Which step cannot be performed first when solving the equation
5 - 2(x - 7) = x + 1 + 3x

• Distributing -2 to (x - 7)
• Combining x and 3x
• Subtracting 1 from both sides
• 5 - 2

Tags

CCSS.8.EE.C.7

Solve the equation:
½ (2x + 6) = 3x + 13

• no solution
• x = 8
• x = -5
• x = 7

Which equation has a solution of x = 1

• 2x + 1 = 12
• 5x - 2 = 3
• x + 1 = x - 1
• 5 - x = 6

Solve the equation:
4 - 6x - 2= -2(3x-1)

• no solution
• infinitely many solutions
• x = ⅓
• x = 4

What is the first step in solving the equation 2a - 4(a - 5) = 10

• Add 4 to both sides
• Add the 2a and a 
• Distribute 4 to a and -5
• Distribute -4 to a and -5

Identify if this equation has one solution, infinitely many solutions or no solution.
-3x+1=x+9-4x

• one solution
• infinitely many
• no solution

What is the first step to solve this equation:
11 - 3x = 44

• Add 3 to both sides
• Subtract 11 from both sides
• Add 11 to both sides
• Divide 3 on both sides.

Tags

CCSS.7.EE.B.4A

Mariah solved the following equation but did not get the correct answer. What step did she do incorrectly?
Step 1:   -2(x - 4) - 6 = 12
Step 2:   -2x - 8 - 6 = 12 
Step 3:   -2x -14 = 12 
Step 4:   -2x = 26 
Step 5:      x = -13 

• Step 2 - she distributed incorrectly
• Step 3 - she combined like terms incorrectly
• Step 4 - she did not do the correct inverse operation
• Step 5 - she did not do the correct inverse operation