RATIO AND PROPORTION REVIEW

Front

What is a ratio?

Back

A ratio is a comparison of two quantities by division, expressed as 'a to 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 and then divide to find the unknown value.

Front

What is the constant of proportionality?

Back

The constant of proportionality is the constant value (k) in the equation y = kx, representing the ratio of y to x.

Front

If y = 8x, what is the constant of proportionality?

Back

The constant of proportionality is 8.

Front

How do you convert a rate to a unit rate?

Back

To convert a rate to a unit rate, divide both quantities by the same number to find the value for one unit.

Front

If Richard walks \(\frac{1}{3}\) mile in \(\frac{1}{6}\) hour, how do you find his speed?

Back

Speed = Distance / Time = \(\frac{\frac{1}{3}}{\frac{1}{6}} = 2\) miles per hour.

Front

What is a scale drawing?

Back

A scale drawing is a representation of an object with accurate proportions, using a specific ratio to reduce or enlarge the size.

Front

If the scale is 1 cm : 9 m, how do you find the drawing width of a 54 m field?

Back

Width in drawing = Actual width / Scale factor = \(\frac{54}{9} = 6\) cm.

Front

What is the formula for finding the constant rate of change?

Back

Constant rate of change = (Change in y) / (Change in x).