Solving Equations and Inequalities

This lesson focuses on finding solutions to make equations true, using substitution to determine if a given value satisfies an equation. It reviews concepts from previous lessons, including inequalities, and introduces a matching game activity to reinforce learning. The lesson emphasizes the importance of substitution and checking work to ensure accuracy in solving equations.

What is the term used for a number that makes an equation true?

• Variable

• Expression

• Solution

• Inequality

In the equation 3 + g = 15, what is the value of g?

• 18

• 9

• 15

• 12

Which of the following values for d makes the inequality 2d < 30 true?

• 16

• 14

• 15

• 13

If 15 divided by a number is less than 5, which number satisfies this inequality?

• 3

• 4

• 5

• 6

In the matching activity, which number added to 26 results in 32?

• 7

• 8

• 6

• 5

What is the solution to the equation 4 squared equals a number?

• 12

• 18

• 16

• 14

Which number, when divided by 5, results in 3?

• 20

• 25

• 15

• 10

What is the value of n in the equation 8n = 72?

• 8

• 9

• 11

• 10

What is a variable in the context of equations?

• A fixed number

• A placeholder for a number

• An operation

• A solution

What is the main purpose of substitution in solving equations?

• To find the variable

• To change the equation

• To determine if a value makes the equation true

• To simplify the equation