Algebraic Reasoning Fall Semester Review 24-25

Front

What is the solution to the inequality 2 < x + 2 < 5?

Back

0 < x < 3

Front

Solve the equation 8|-2x + 4| = 96.

Back

x = -4, x = 8

Front

Calculate: (2×10) + 4

Back

24

Front

When do you flip the inequality sign?

Back

When you multiply or divide by a negative number.

Front

What is the solution for x + 9 = 21?

Back

x = 12

Front

What is an inequality?

Back

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

Front

What does it mean to solve an equation?

Back

To find the value(s) of the variable that make the equation true.

Front

What is the distributive property?

Back

a(b + c) = ab + ac; it allows you to multiply a single term by two or more terms inside a parenthesis.

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.

Front

What is the solution to the equation 3x - 5 = 10?

Back

x = 5.