Unit 3 Test

Front

What is the first step in solving an equation with fractions?

Back

Clear the fractions by finding a common denominator and multiplying both sides of the equation by it.

Front

How do you isolate a variable in an equation?

Back

To isolate a variable, perform inverse operations to both sides of the equation until the variable is alone on one side.

Front

What does it mean to 'clear the fraction' in an equation?

Back

Clearing the fraction means eliminating the fractions from the equation to simplify the solving process.

Front

What is the common denominator of the fractions 2/3 and 4/5?

Back

The common denominator of 2/3 and 4/5 is 15.

Front

If 2 = (3/2)x + (4/5), what is the first step to solve for x?

Back

Multiply the entire equation by 10 to eliminate the fractions.

Front

What is the result of multiplying both sides of the equation 2 = (3/2)x + (4/5) by 10?

Back

20 = 15x + 8.

Front

What is the next step after clearing the fractions in the equation 20 = 15x + 8?

Back

Subtract 8 from both sides to isolate the term with x.

Front

What is the solution for x in the equation 20 = 15x + 8?

Back

x = (20 - 8) / 15 = 12 / 15 = 4 / 5.

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions.

Front

What are inverse operations?

Back

Inverse operations are pairs of operations that undo each other, such as addition and subtraction or multiplication and division.