Solving Equation-Algebra

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing variables.

Front

What does it mean to simplify an equation?

Back

To simplify an equation means to reduce it to its simplest form, making it easier to solve.

Front

What are the possible types of solutions for an equation?

Back

An equation can have one solution, no solutions, or infinitely many solutions.

Front

How do you determine if an equation has infinite solutions?

Back

An equation has infinite solutions if, after simplification, both sides of the equation are identical.

Front

What does it mean to flip the inequality sign?

Back

Flipping the inequality sign is necessary when multiplying or dividing both sides of an inequality by a negative number.

Front

How do you solve the inequality -3x ≥ 12?

Back

Divide both sides by -3 (flipping the sign): x ≤ -4.

Front

What is the first step in solving the equation (2x - 3) / 4 = 9?

Back

Multiply both sides by 4 to eliminate the fraction.

Front

What is the solution to the equation 3x - 7 = 3(x - 3) + 2?

Back

The equation simplifies to 0 = 0, indicating infinite solutions.

Front

How do you graph the inequality x + 5 ≤ 13?

Back

First, solve for x: x ≤ 8. Then, graph a closed circle at 8 and shade to the left.

Front

What is the solution to the inequality 77 ≤ 5 + 8n?

Back

Solve for n: n ≥ 9.