Solving Equations

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 principle of balancing equations?

Back

The principle of balancing equations states that whatever you do to one side of the equation, you must do to the other side to maintain equality.

Front

What is a variable in an equation?

Back

A variable is a symbol, often represented by letters like x or y, that stands for an unknown value in an equation.

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 all other terms on the opposite side.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.

Front

Solve for x: 4(1-x)+3x=-2(x+1)

Back

x = -6

Front

Solve for x: 10x + 9 = 4x - 9

Back

x = -3

Front

Solve for x: 2(4x-3) - 8 = 4 + 2x

Back

x = 3

Front

Solve for x: 7x = 3x + 24

Back

x = 6