Glencoe Course 2 Chapter 6 Equations and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions using symbols such as <, >, ≤, or ≥.

Front

Solve for k: 7k - 2 ≥ -9

Back

k ≥ -1

Front

What does it mean to check your solution in an equation?

Back

Checking your solution means substituting your answer back into the original equation to verify that both sides are equal.

Front

Solve the equation: 3c + 5 = 23

Back

c = 6

Front

What is the purpose of using inequalities in real-life situations?

Back

Inequalities help to express limits or constraints, such as weight limits or budget constraints.

Front

Write the inequality that represents Casey's dog's weight loss goal: 106 - 4x ≤ 70

Back

This inequality shows that after losing 4 pounds per week for x weeks, Casey's dog should weigh at most 70 lbs.

Front

Solve for k: 3.6k = 7.56

Back

k = 2.1

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater than or less than another.

Front

What does the symbol '≥' mean?

Back

'≥' means 'greater than or equal to'.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform inverse operations to get the variable alone on one side of the equation.