Solving one-step equations with fractions

Front

What is a one-step equation?

Back

A one-step equation is an algebraic equation that can be solved in a single step, typically involving addition, subtraction, multiplication, or division.

Front

How do you solve the equation x/2 = 4?

Back

Multiply both sides by 2 to get x = 8.

Front

What does it mean to isolate the variable in an equation?

Back

Isolating the variable means to manipulate the equation so that the variable is on one side and all other terms are on the opposite side.

Front

What is the first step in solving the equation 3x = 12?

Back

Divide both sides by 3 to isolate x, resulting in x = 4.

Front

How do you solve the equation x - 1/3 = 2?

Back

Add 1/3 to both sides to get x = 2 + 1/3, which simplifies to x = 7/3.

Front

What is the solution to the equation 5 = x/4?

Back

Multiply both sides by 4 to find x = 20.

Front

What is a fraction?

Back

A fraction represents a part of a whole and is expressed as a numerator over a denominator.

Front

How do you handle fractions when solving equations?

Back

You can eliminate fractions by multiplying both sides of the equation by the least common denominator (LCD).

Front

What is the least common denominator (LCD) of 1/2 and 1/3?

Back

The LCD of 1/2 and 1/3 is 6.

Front

How do you solve the equation 1/2x = 3?

Back

Multiply both sides by 2 to get x = 6.