First Steps of Solving Equations

What operation would you perform first and then second when solving for m in the following equation? 10 + 7m = 17

• subtract 10, divide by 7

• divide by 7, subtract 10

• multiply by 7, add 10

• add 10, multiply by 7

Tags

CCSS.HSA.REI.A.1

What is the first step to solve this equation? 2x + 3(5x - 7) = 47

• Add 7 to both sides

• Combine 2x and 5x

• Distribute the 3 to 5x and - 7

• Subtract 2x from 5x

Tags

CCSS.8.EE.C.7B

What should be the first two steps to solve this equation? 2x +4(3x + 6) = 90

• combine 2x and 3x and then distribute the 4.

• subtract 6 from both sides and then divide by 4

• distribute the 4 and then combine like terms by addition

• combine 2x and 3x and then subtract 6 from both sides

Tags

CCSS.8.EE.C.7B

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• combine x and -2x

4x - 12 = -16

Mathematical Equivalence

ON

Tags

CCSS.7.EE.B.4A

Using the "opposite operation" to "undo" and isolate the variable when solving an equation is more commonly called...

• Inverse operations

• math

• variable

• PEMDAS

Tags

CCSS.7.EE.B.4A

What is the first step to solve this equation? 5x + 6 = 10 + 3x + 4x

• Add 4x to both sides of the equation

• Combine the terms 3x and 4x on the same side of the equation

• Add 5x and 6 to get 11x

• Combine the terms 5x and 3x and 4x to get 12x

Find the error in the problem.

• Should have added 19 to -1.

• Should have subtracted 3k instead of adding 3k to both sides.

• Should have gotten k = 20 since two negatives make a positve.

• There is no error.

Tags

CCSS.HSA.REI.A.1

What is the first step to solve this equation? (3n - 4) + (-2 + 2n) = 9 

• Combine 3n and -4 and also combine -2 and 2n

• Add 3n to both sides of the equation

• Subtract 2n from both sides of the equation

• Combine 3n and 2n and also combine -4 and -2

What is the next step to solve this equation?
3x + 6 = 10 + 7x

• Add 6 to both sides of the equation

• Add 10 to both sides of the equation

• Add 7x to both sides of the equation

• Subtract 7x from both sides of the equation