Unit 7, Lesson 11

Constructing the Coordinate Plane

Accelerated 6

Practice

Problem 1

Write the coordinates of each point.

Coordinate plane, o at origin, horizontal axis -8 to 8 by twos, vertical axis negative 6 to 6 by twos. Point A on the horixontal axis, halfway between 0 and 2. Point B, on the vertical axis, halfway between negative 2 and negative 4. Point C above negative 6 on the horizontal axis, halfway between 4 and 6. Point D halfway between negative 4 and negative 2 on the horizontal axis, halfway between negative 4 and negative 6 on the vertical axis. Point E between negative 2 and zero on the horizontal axis, next to 4 on the vertical axis.

Problem 2

The points $(\text-3.5, 4)$, $(0, 4)$, and $(6.2, 4)$ are all on the same horizontal line. Write the coordinates of 2 additional points that are on the same horizontal line.

Problem 3

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

$(\frac15, \frac45)$

$(\text{-}\frac {3}{5}, \frac25)$

$(\text-1 \frac15, \text{-}\frac {4}{5})$

$(\frac15, \text{-}\frac {3}{5})$

A blank coordinate plane with 16 evenly spaced horizontal units and 12 evenly spaced vertical units.

Problem 4

ForLesson 3: Ordering Rational Numbers

Represent each of the following situations with a positive or negative number. Explain what a number with the opposite sign would represent in each situation.

a loss of 4 points
a gain of 50 yards
a loss of \$10
an elevation 23 feet above sea level

Problem 5

ForLesson 1: Positive and Negative Numbers

One night, it is $24^\circ\text{C}$ warmer in Tucson than it was in Minneapolis. If the temperatures in Tucson and Minneapolis are opposites, what is the temperature in Tucson?

$\text-24^\circ\text{C}$
$\text-12^\circ\text{C}$
$12^\circ\text{C}$
$24^\circ\text{C}$

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