Solving Linear Equations

Front

Solve for x: 7 - 2(10x + 1) = 25

Back

x = -1

Front

Solve for x: 7x + 5 + x - 3 + x = 5

Back

x = 1/3

Front

Solve for x: 2 - 4x = 3x - 12

Back

x = 2

Front

Solve for x: 3(5x + 10) + 10 = 6x - (x + 10)

Back

x = -5

Front

Solve for x: 6(2x + 1) = 18

Back

x = 1

Front

What is a linear equation?

Back

A linear equation is an equation of the first degree, meaning it has no variables raised to a power greater than one.

Front

What does it mean to solve an equation?

Back

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

Front

What is the principle of balancing equations?

Back

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

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 two or more terms inside a set of parentheses.

Front

What is the first step in solving a linear equation?

Back

The first step is to simplify both sides of the equation by combining like terms and using the distributive property if necessary.