Solving Equations

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What is an equation?

An equation is a mathematical statement that asserts the equality of two expressions.

What is a variable in an equation?

A variable is a symbol, usually a letter, that represents one or more unknown values.

What does it mean to solve an equation?

To solve an equation means to find the value of the variable that makes the equation true.

Solve the equation: x + 5 = 12

x = 7

Solve the equation: 2x = 14

x = 7

What is a linear equation?

A linear equation is an equation where the highest power of the variable is one.

Solve the equation: x/3 = 4

x = 12

What are like terms?

Like terms are terms that contain the same variables raised to the same power.

Solve the equation: 5x - 3 = 12

x = 3

Solve the equation: 3 + 2x = 11

x = 4

What is the first step in solving 2(x - 3) = 8?

First, distribute the 2 to both terms inside the parentheses.

How do you check if a solution is correct?

Substitute the value back into the original equation to see if both sides are equal.

Solve the equation: x - 7 = 10

x = 17

When solving an equation with fractions, what is a common first step?

Multiply every term by the Least Common Denominator (LCD) to clear fractions.

What is an example of a simple equation?

An example is x + 2 = 5, where solving gives x = 3.