Algebraic Ratios and Proportions Pre-Assessment

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a:b' or 'a/b'.

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 terms and set the products equal to each other.

Front

What does it mean to cross-multiply?

Back

Cross-multiplying involves multiplying the numerator of one ratio by the denominator of the other ratio.

Front

If a:b = c:d, what is the value of a if b=4, c=8, and d=2?

Back

a = 16, because 4/16 = 8/2.

Front

What is the formula for finding an unknown in a proportion?

Back

If a/b = c/x, then x = (b*c)/a.

Front

Solve for x: 3/4 = x/12

Back

x = 9.

Front

What is the relationship between ratios and fractions?

Back

Ratios can be expressed as fractions, and vice versa.

Front

If 5:15 = x:45, what is x?

Back

x = 15.

Front

What is an equivalent ratio?

Back

An equivalent ratio is a ratio that expresses the same relationship between quantities, such as 1:2 and 2:4.