Solving Algebraic Equations

Front

What is an algebraic equation?

Back

An algebraic equation is a mathematical statement that asserts the equality of two expressions, which can include variables, constants, and mathematical operations.

Front

What does it mean to 'solve for x'?

Back

To 'solve for x' means to find the value of the variable x that makes the equation true.

Front

What is the first step in solving a linear equation?

Back

The first step in solving a linear equation is to isolate the variable on one side of the equation.

Front

How do you solve the equation x + 14 = 22?

Back

Subtract 14 from both sides to isolate x: x = 22 - 14, so x = 8.

Front

What is the solution to the equation n^2 = 100?

Back

The solutions are n = 10 and n = -10, since both values satisfy the equation.

Front

How do you solve the equation x / 7 + 14 = 22?

Back

First, subtract 14 from both sides to get x / 7 = 8, then multiply both sides by 7 to find x = 56.

Front

What is the solution to the equation -4y = 48?

Back

To solve for y, divide both sides by -4: y = 48 / -4, so y = -12.

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no exponents greater than one and graphs as a straight line.

Front

What is the importance of checking your solution in algebra?

Back

Checking your solution ensures that the value found satisfies the original equation, confirming its correctness.

Front

What is the difference between an equation and an expression?

Back

An equation states that two expressions are equal, while an expression is a combination of numbers, variables, and operations without an equality sign.