Equations Review

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more 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 first step in solving the equation 11 - 3x = 44?

Back

Subtract 11 from both sides.

Front

How do you isolate a variable in an equation?

Back

You isolate a variable by performing inverse operations to both sides of the equation until the variable is alone on one side.

Front

What is the solution to the equation 6p - 5 = 13?

Back

p = 3.

Front

Write an equation for the situation: Celebrity A has 400 followers and gains 75 per day, while Celebrity B has 1,000 followers and loses 25 per day.

Back

400 + 75x = 1,000 - 25x.

Front

What does '4 times a number' mean in algebraic terms?

Back

It means to multiply the number by 4, often represented as 4x, where x is the number.

Front

What is the equation for 'two less than 4 times a number'?

Back

4x - 2.

Front

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

Back

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

Front

What is the principle of balancing equations?

Back

The principle states that you can perform the same operation on both sides of an equation without changing its equality.