Solving Two-Step Equations with Inverse Operations

This video tutorial covers solving two-step equations using opposite operations. It includes two examples: one involving addition and multiplication, and another involving division and subtraction. The video also provides practice problems for viewers to solve on their own, with solutions provided for self-checking.

What is the first step in solving a two-step equation?

• Isolate the variable

• Combine like terms

• Undo addition or subtraction

• Undo multiplication or division

What operation is performed to both sides to eliminate the subtraction of 2 in the equation 6x - 2 = 10?

• Divide by 2

• Multiply by 2

• Subtract 2

• Add 2

After adding 2 to both sides of the equation 6x - 2 = 10, what is the new value on the right side of the equation?

• 8

• 12

• 14

• 10

How do you check if the solution x = 2 is correct for the equation 6x - 2 = 10?

• Substitute x with 2 and verify both sides are equal

• Multiply 6 by 2 and subtract 2

• Add 2 to both sides

• Divide both sides by 2

What is the opposite operation of dividing by negative five?

• Subtracting five

• Multiplying by negative five

• Adding five

• Dividing by five

After undoing the addition in the equation t / -5 + 8 = 10, what is the value on the right side of the equation?

• 10

• 18

• 2

• 8

How is the solution t = -10 verified in the equation t / -5 + 8 = 10?

• By dividing both sides by -10

• By multiplying both sides by -10

• By substituting t with -10 and ensuring both sides are equal

• By adding -10 to both sides

What is the solution to the equation -8r + 12 = 36?

• r = -6

• r = 6

• r = -3

• r = 3

What is the solution to the equation r / 3 - 7 = 4?

• r = 33

• r = -30

• r = 30

• r = -33

What is a recommended way to improve your algebra skills according to the video?

• Memorizing formulas

• Skipping difficult problems

• Only practicing easy problems

• Finding and correcting mistakes in practice problems