Simplifying and Solving Equations

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 by combining like terms and eliminating unnecessary elements.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by a letter, that stands for an unknown value in an equation.

Front

What is the goal when solving an equation?

Back

The goal when solving an equation is to find the value of the variable that makes the equation true.

Front

What does it mean to isolate a variable?

Back

To isolate a variable means to manipulate the equation so that the variable is on one side of the equation by itself.

Front

What is the first step in solving the equation -14 = 8 - 4n - 2?

Back

The first step is to simplify the right side of the equation: 8 - 2 = 6, so the equation becomes -14 = 6 - 4n.

Front

How do you solve the equation 7 = -4p + 3p?

Back

Combine like terms: -4p + 3p = -p, so the equation becomes 7 = -p. Then, multiply both sides by -1 to find p = -7.

Front

What is the solution to the equation 25 = 2x + 4 - 9x?

Back

Combine like terms: 2x - 9x = -7x, so the equation becomes 25 = 4 - 7x. Isolate x to find x = -3.

Front

How do you solve the equation 18 = 5x + 5 + 8x?

Back

Combine like terms: 5x + 8x = 13x, so the equation becomes 18 = 13x + 5. Isolate x to find x = 1.

Front

What is the solution to the equation 21 = 8x - 3 - 8?

Back

First, simplify the right side: -3 - 8 = -11, so the equation becomes 21 = 8x - 11. Isolate x to find x = 4.