Proportions and equations

Front

What is a proportion?

Back

A proportion is an equation that states that two ratios are equal.

Front

How do you solve a proportion?

Back

To solve a proportion, cross-multiply the two ratios and set the products equal to each other.

Front

What is the formula for finding the value of x in a linear equation?

Back

The formula is typically in the form of ax + b = c, where you isolate x by performing inverse operations.

Front

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

Back

Isolating a variable means rearranging the equation so that the variable is on one side and all other terms are on the other side.

Front

What is the cross-multiplication method?

Back

Cross-multiplication is a method used to solve proportions by multiplying the numerator of one ratio by the denominator of the other ratio.

Front

What is the first step in solving the equation 2x + 3 = 7?

Back

The first step is to subtract 3 from both sides of the equation.

Front

What is the solution to the equation 3x - 5 = 1?

Back

The solution is x = 2.

Front

What is a ratio?

Back

A ratio is a comparison of two quantities, often expressed as a fraction.

Front

How can you check if two ratios form a proportion?

Back

You can check by cross-multiplying and seeing if the products are equal.

Front

What is the relationship between fractions and proportions?

Back

Fractions can be expressed as proportions, where the numerator and denominator represent the two quantities being compared.