Lesson 12: Practice Problems

Problem 1

Draw and label an appropriate pair of axes and plot the points.

$(\frac{1}{5}, \frac{4}{5})$
$(\frac{- 3}{5}, \frac{2}{5})$
$(- 1 \frac{1}{5}, \frac{- 4}{5})$
$(\frac{1}{5}, \frac{- 3}{5})$

Problem 2

Diego was asked to plot these points: $(- 50, 0)$ , $(150, 100)$ , $(200, - 100)$ , $(350, 50)$ , $(- 250, 0)$ . What interval could he use for each axis? Explain your reasoning.

Problem 3

Name 4 points that would form a square with the origin at its center.
Graph these points to check if they form a square.

Problem 4 From Unit 7 Lesson 5

Which of the following changes would you represent using a negative number? Explain what a positive number would represent in that situation.

A loss of 4 points
A gain of 50 yards
A loss of $10
An elevation above sea level

Problem 5 From Unit 6 Lesson 16

Jada is buying notebooks for school. The cost of each notebook is $1.75 .$

Write an equation that shows the cost of Jada’s notebooks, $c$ , in terms of the number of notebooks, $n$ , that she buys.
Which of the following could be points on the graph of your equation?
1. $(1.75, 1)$
2. $(2, 3.50)$
3. $(5, 8.75)$
4. $(17.50, 10)$
5. $(9, 15.35)$

Problem 6 From Unit 5 Lesson 13

A corn field has an area of 28.6 acres. It requires about 15,000,000 gallons of water. About how many gallons of water per acre is that?

5,000
50,000
500,000
5,000,000