Unit 2: Reasoning with Expressions, Equations, and Inequalities

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, greater than or equal to, or less than or equal to the other.

Front

Write an inequality to represent the situation: A person has $500 and wants to keep at least $200 after spending $25 each week.

Back

500 - 25w ≥ 200

Front

What does the variable 'w' represent in the inequality 500 - 25w ≥ 200?

Back

The variable 'w' represents the number of weeks the person withdraws $25.

Front

Evaluate the expression 2r + 1 when r = 3.

Back

7

Front

What is the solution to the equation -3x + 5 = -13?

Back

x = 6

Front

What does the symbol '≥' mean in an inequality?

Back

The symbol '≥' means 'greater than or equal to'.

Front

Match the inequality 11 ≥ a with its graph.

Back

The graph shows all values of 'a' that are less than or equal to 11.

Front

What is the first step to solve the equation -3x + 5 = -13?

Back

Subtract 5 from both sides to isolate the term with the variable.

Front

If a rectangle has a length of 6 and a width of 3x, what is the expression for the area?

Back

The area is 6 * 3x = 18x.

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 or less than another.