Multi-Step Equations

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

Tags

CCSS.8.EE.C.7B

2 + 14a = -8 + 9a

• -2
• 3
• 5
• -10

Tags

CCSS.6.EE.B.5

CCSS.6.EE.B.6

CCSS.6.EE.B.7

8 = (³⁄₄)a +12 - a + 4

• 32
• -6
• -4
• 4

Tags

CCSS.8.EE.C.7B

4(a + 3) = -32

• -11
• -44
• -20
• -8

Tags

CCSS.7.EE.B.4A

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

• one solution
• infinitely many
• no solution

Tags

CCSS.8.EE.C.7A

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

• infinite solutions
• x = 1
• x = -1
• no solution

Tags

CCSS.8.EE.C.7A

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

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

Tags

CCSS.8.EE.C.7A

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.HSA.REI.A.1

CCSS.HSA.REI.B.3

Which of the equations has no solution?

• 2x + 1 = 5x - 3
• 2(x - 7) = 2x-14
• 3(2x+1) = 6x+1
• 15x - 30 = 0

Tags

CCSS.8.EE.C.7A

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

• no solution
• infinite solutions
• x = 6
• x = 0

Tags

CCSS.8.EE.C.7A