Solving Equations Using Addition or Subtraction

The video tutorial focuses on solving equations using addition and subtraction, starting with modeling equations using algebra tiles. It explains the concept of inverse operations and demonstrates how to solve equations algebraically using properties of equality. The lesson includes practical examples and encourages students to practice solving equations on their own.

What is an equation in mathematical terms?

• A mathematical sentence with an equal sign

• A statement with a variable

• A sentence with no mathematical meaning

• A number without variables

What do algebra tiles represent in solving equations?

• Only numbers

• Only variables

• Variables and numbers

• Only constants

How do you create a zero pair using algebra tiles?

• By adding two negative tiles

• By removing all tiles

• By adding a positive and a negative tile

• By adding two positive tiles

What are inverse operations?

• Operations that have the same effect

• Operations that undo each other

• Operations that multiply each other

• Operations that divide each other

What does the addition property of equality state?

• Dividing both sides by the same number keeps the equation balanced

• Multiplying both sides by the same number keeps the equation balanced

• Adding the same number to both sides keeps the equation balanced

• Subtracting the same number from both sides keeps the equation balanced

How do you solve an equation using the subtraction property of equality?

• Add the same number to both sides

• Subtract the same number from both sides

• Multiply both sides by the same number

• Divide both sides by the same number

What is the result of subtracting the same number from both sides of an equation?

• The equation becomes a decimal

• The equation becomes a fraction

• The equation remains the same

• The equation becomes unbalanced

Why are algebra tiles not practical for solving equations with fractions and decimals?

• They are too large

• They are only for addition

• They cannot represent fractions and decimals accurately

• They are too expensive

How do you solve an equation with fractions using properties of equality?

• By adding fractions to both sides

• By subtracting fractions from both sides

• By using the addition or subtraction property of equality

• By multiplying fractions on both sides

What is the solution to the equation X + 4/5 = -2/5?

• X = -6/5

• X = 2/5

• X = 6/5

• X = -2/5