Testing Solutions to Equations

In this video, Kaylee introduces the concept of testing solutions for equations. She explains that a solution is a value that makes an equation true, and demonstrates how to test solutions using substitution. The video includes examples of testing solutions for equations with one variable, emphasizing the importance of ensuring the left side equals the right side. Kaylee encourages viewers to practice testing solutions on their own.

What should you have completed before starting to test solutions to equations?

• The intro to equations video and lessons on expressions with one variable

• The video on solving quadratic equations

• The lesson on graphing linear equations

• The video on inequalities

What does it mean for an equation to have a solution?

• It has multiple values that satisfy it

• It has infinite values that satisfy it

• It has no values that satisfy it

• It has one value that makes the equation true

How can you test if a value is a solution to an equation?

• By graphing the equation

• By using substitution to see if both sides are equal

• By checking if the value is positive

• By solving for another variable

What is the first step in testing x = 2 for the equation 3x + 2 = 11?

• Divide both sides by 3

• Subtract 2 from both sides

• Multiply 3 by 2

• Add 2 to both sides

Why is x = 2 not a solution for the equation 3x + 2 = 11?

• Because 3x + 2 equals 11 for all x

• Because 2 is not a variable

• Because 3 times 2 equals 11

• Because 6 + 2 does not equal 11

What is the correct solution for the equation 3x + 2 = 11?

• x = 5

• x = 4

• x = 3

• x = 2

What is the first step in testing n = 8 for the equation n/4 = 2?

• Add 4 to both sides

• Divide 8 by 4

• Multiply both sides by 4

• Subtract 2 from both sides

What is the result of substituting n = 8 into the equation n + 4 = 13?

• 8 equals 12

• 13 equals 13

• 8 equals 13

• 12 equals 13

Which equation has n = 8 as a solution?

• n/4 = 2

• n + 4 = 13

• 3n + 8 = 32

• n - 8 = 0

What is the result of substituting n = 8 into the equation 3n + 8 = 32?

• 24 + 8 equals 32

• 24 + 8 equals 28

• 24 + 8 equals 30

• 24 + 8 equals 34