Solving Linear Equations Concepts

This video tutorial covers solving one-step equations using addition and subtraction. It explains what constitutes a solution to an equation and demonstrates the principles of equality. The tutorial includes step-by-step examples of solving equations and concludes with a real-world word problem to apply the learned techniques.

What is a solution to an equation?

• Any value that makes the equation false

• Any value that makes the equation true

• Any number that can replace a variable

• Any number that is greater than zero

If x + 4 = 7, what is the value of x?

• 4

• 3

• 11

• 7

In the equation x - 18 = 33, is x = 41 a solution?

• No, because 41 is less than 33

• Yes, because 41 - 18 equals 33

• No, because 41 - 18 does not equal 33

• Yes, because 41 is greater than 33

What principle allows us to add or subtract the same number from both sides of an equation?

• Principle of Multiplication

• Principle of Division

• Principle of Substitution

• Principle of Equality

How do you isolate a variable in an equation?

• By adding or subtracting numbers on both sides

• By multiplying both sides by zero

• By ignoring the variable

• By dividing both sides by the variable

In the equation y + 23 = 41, what is the value of y?

• 23

• 64

• 41

• 18

What operation would you perform to solve x + 9 = 43?

• Multiply both sides by 9

• Subtract 9 from both sides

• Divide both sides by 9

• Add 9 to both sides

In the equation 38 = y - 15, what is the value of y?

• 23

• 38

• 53

• 15

If a check for $650 is written and the new balance is $437, what was the initial balance?

• $1,000

• $437

• $650

• $1,087

What is the first step in solving the equation x - 650 = 437?

• Add 650 to both sides

• Subtract 650 from both sides

• Divide both sides by 650

• Multiply both sides by 650