Unit 4 Lessons 2-5 Review

Front

What is the equation represented by the tape diagram? Remember y = ____ x

Back

Front

John walked 20 miles and half the length again. What is the total distance he traveled?

Back

30 miles

Front

Kate puts an empty cup underneath a leaking faucet. After 2\frac{1}{4} hours, the cup is \frac{1}{4} full. What is the rate, in cups per hour, at which the water is leaking from the faucet?

Back

Front

Oakley drank x number of bottles last week. This week she drank \frac{1}{4} that amount. Write an equation to represent the total number of bottles she drank in both weeks. y = _____________

Back

x + \frac{1}{4}x = \frac{5}{4}x or 1.25x

Front

Nick bought x t shirts, and Anna bought \frac{1}{3} less than that. Write an expression for the number of t-shirts Anna bought.

Back

x - \frac{1}{3}x

Front

What is the formula for finding the slope of a line?

Back

Slope (m) = \frac{y_2 - y_1}{x_2 - x_1}

Front

Define a linear equation.

Back

A linear equation is an equation that makes a straight line when graphed. It can be written in the form y = mx + b.

Front

What does the variable 'x' typically represent in equations?

Back

The variable 'x' often represents an unknown value that we are trying to solve for.

Front

What is the meaning of 'rate' in a mathematical context?

Back

Rate refers to a ratio that compares two different quantities, often expressed as a quantity per unit of time.

Front

How do you convert a mixed number to an improper fraction?

Back

Multiply the whole number by the denominator, add the numerator, and place the result over the original denominator.