Inequalities and Equation Solving

This lesson covers solving equations and inequalities by identifying values for variables that make statements true. It includes exercises on equations like 3 + g = 15 and inequalities such as 30 > 2d, 15/f < 5, and 42 <= 50 - m. The lesson also involves matching numbers to equations to form true statements.

What is the main goal when solving an equation or inequality?

• To guess the value of the variable

• To find any random number

• To make the equation or inequality false

• To find a value for the variable that makes the equation or inequality true

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

• 10

• 12

• 15

• 18

For the inequality 30 > 2d, which of the following is true?

• d must be greater than 15

• d must be equal to 15

• d must be 15

• d must be less than 15

If d = 14, is the inequality 30 > 2d true?

• Yes, because 30 is greater than 28

• No, because 30 is less than 28

• No, because 30 is equal to 28

• Yes, because 30 is equal to 28

In the inequality 15/f < 5, what must be true about f?

• f must be less than 3

• f must be equal to 3

• f must be greater than 3

• f must be 3

If f = 4, is the inequality 15/f < 5 true?

• Yes, because 15/4 is equal to 5

• No, because 15/4 is equal to 5

• No, because 15/4 is greater than 5

• Yes, because 15/4 is less than 5

For the inequality 42 <= 50 - m, what must be true about m?

• m must be 8

• m must be equal to 8

• m must be less than or equal to 8

• m must be greater than 8

If m = 7, is the inequality 42 <= 50 - m true?

• Yes, because 42 is less than or equal to 43

• No, because 42 is greater than 43

• Yes, because 42 is equal to 43

• No, because 42 is equal to 43

In the matching exercise, what value of n makes n + 26 = 32 true?

• 3

• 6

• 15

• 44

In the matching exercise, what value of n makes 17n = 51 true?

• 44

• 15

• 6

• 3