Solving Multi-Step Equations

What is the 1st step in solving the following equation?

3x + 7 = x - 21

• Move variables to same side

• Add 7 to both sides

• divide both sides by 3

• Subtract 21 from both sides

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the 2nd step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

• Divide both sides by 2

• add 7 to both sides

• Subtract 7 from both sides

• Subtract 21 from both sides

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

What is the NEXT step in solving the following equation?

3x + 7 = x - 21

2x + 7 = -21

• 2x = -28

• 2x = 28

• 2x = 14

• 2x = -14

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

What is the 1st step in solving the equation?

2x - 4x = 1 - x

• -2x = 1-x

• -4x = 1 - x + 2x

• 8x = 1 - x

• 2x - 4x = 0

Tags

CCSS.7.EE.A.1

CCSS.7.EE.B.3

CCSS.7.EE.B.4

Which step is incorrect?

120 = 4(7a+2)

Step 1 Distribute

120 = 28a + 8

Step 2 Subtract 8 from both sides

112 = 28a

Step 3 Divide both sides by 28

a=4

• Step 1

• Step 2

• Step 3

• Problem is worked correctly

Tags

CCSS.HSA.REI.A.1

Which step is incorrect?

120 = -4(7a+2)

Step 1: 120 = -28a - 8

Step 2: 112 = -28a

Step 3: a=-4

• Problem is correct

• step 1

• step 2

• step 3

Tags

CCSS.HSA.REI.A.1

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 5n

Step 3: 32 = 5n

Step 4: 6.2 = n

• step 1

• step 2

• step 3

• problem is correct

Tags

CCSS.HSA.REI.A.1

Which step is incorrect?

2(1-5n) = -30 - 2n

Step 1: 2 - 7n = -30 - 2n

Step 2: 2 = -30 + 8n

Step 3: 32 = 8n

Step 4: 4 = n

• step 1

• step 3

• correct answer

• step 2

Tags

CCSS.8.EE.C.7B

Solve.

7 + 4x + 4x = 8x + 3 + 4

• no solution

• all real numbers

• 7

• 3

Tags

CCSS.8.EE.C.7A

Solve

7 + 3x = 14 + 3x

• all real numbers

• no solution

• 5

• 9

Tags

CCSS.8.EE.C.7A