Algebraic Reasoning Fall Semester Review 24-25

Front

What is the solution to the inequality -3x ≤ 18?

Back

x ≥ -6

Front

Solve the compound inequality: x + 2 < -4 or -5x < -15.

Back

x < -6 or x > 3

Front

What is the solution to the equation |2x - 1| = -4?

Back

No Solution

Front

Calculate: (3 + 12) - 3^2.

Back

6

Front

Solve for d: 2d + 7 = 9.

Back

d = 1

Front

What does it mean when an absolute value equation has no solution?

Back

It means that the expression inside the absolute value cannot equal the negative value.

Front

What is the first step in solving the inequality 2x + 3 > 7?

Back

Subtract 3 from both sides to isolate the term with x.

Front

How do you solve a linear equation in one variable?

Back

Isolate the variable on one side of the equation using inverse operations.

Front

What is the solution to the equation 4x - 5 = 3?

Back

x = 2.

Front

What is the definition of a compound inequality?

Back

An inequality that combines two or more inequalities using 'and' or 'or'.