Solving Equations (variable on one side)

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 solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

Front

What is a variable in mathematics?

Back

A variable is a symbol, often a letter, that represents an unknown value in an equation.

Front

What is the goal when solving equations with one variable?

Back

The goal is to isolate the variable on one side of the equation to find its value.

Front

What is the first step in solving the equation 8v - 4(v + 8) = 8?

Back

Distribute the -4 to both terms inside the parentheses: 8v - 4v - 32 = 8.

Front

How do you isolate the variable in the equation z + 77 = 100?

Back

Subtract 77 from both sides: z = 100 - 77, which simplifies to z = 23.

Front

What is the solution to the equation 7p = 168?

Back

Divide both sides by 7: p = 168 / 7, which simplifies to p = 24.

Front

How do you solve the equation -124 = 4(1 + 8k)?

Back

First, distribute the 4: -124 = 4 + 32k. Then, isolate k by subtracting 4 and dividing by 32.

Front

Back

Multiply both sides by 3 to isolate x: x = 28 * 3, which simplifies to x = 84.

Front

What does it mean to have a variable on one side of an equation?

Back

It means that all terms containing the variable are on one side, while constants are on the other side.