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 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 the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, meaning you can distribute a number across a sum.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, you perform operations to get the variable on one side of the equation and the constants on the other.

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 does it mean to 'give away' in a word problem?

Back

'Give away' refers to the action of distributing or subtracting a certain quantity from a total.

Front

How do you check if your solution to an equation is correct?

Back

You can check your solution by substituting the value back into the original equation to see if both sides are equal.

Front

What is the first step in solving the equation r/9 + 8 = 13?

Back

The first step is to subtract 8 from both sides of the equation.

Front

What is the solution to the equation 12 = n - 9?

Back

The solution is n = 21.

Front

How do you solve the equation 30 = 5(x + 1)?

Back

First, use the distributive property: 30 = 5x + 5, then isolate x to find x = 5.