Solving Equations and Word Problems

The video tutorial introduces sixth-graders to solving equations using addition and subtraction. It explains the concept of solutions to equations, how to test if a value is a solution, and the use of inverse operations to solve equations. The tutorial includes practical examples and practice problems to reinforce learning.

What is a solution to an equation?

• A value that makes the equation true

• A value that makes the equation false

• Any random number

• A value that balances the equation on one side

If x + 3 = 7, which value of x makes the equation true?

• 6

• 5

• 4

• 3

What does it mean when an equation is compared to a scale?

• The equation is unbalanced

• The equation is balanced when both sides are equal

• The equation is heavy

• The equation is light

What is the inverse operation of addition?

• Multiplication

• Addition

• Division

• Subtraction

How do you solve the equation x - 2 = 6?

• Add 2 to both sides

• Subtract 2 from both sides

• Multiply both sides by 2

• Divide both sides by 2

In the equation 18 = x - 7, what is the value of x?

• 25

• 11

• 7

• 18

What is the first step in solving the equation x + 2 = 9?

• Divide both sides by 2

• Multiply both sides by 2

• Subtract 2 from both sides

• Add 2 to both sides

If you have $20 and spend $14, how much do you have left?

• $4

• $20

• $14

• $6

How do you find the original amount of money if you have $5.50 left after spending?

• Subtract the spent amount from $5.50

• Add the spent amount to $5.50

• Multiply the spent amount by $5.50

• Divide the spent amount by $5.50

If you eat 11 blueberries and have 23 left, how many were there originally?

• 23

• 42

• 34

• 11