Grid MoleGridwalkers · the coordinate plane, slope and lines

Pops up at a point on the grid: plotting and reading coordinates, and the distances and figures between them.

The Coordinate Plane

Plotting and reading coordinates, and the distances and figures between them. In MathBound, the free Algebra I adventure game, Grid Mole asks these problems, and the only way past is to solve them.

Part of Functions: chapter 4 of the standard course.

Play this battle free

10 questions, no sign-up, nothing saved. Climbs from the basics to harder questions.

What you will practice

Plot Points. Plot points with integer coordinates in the four quadrants.
Identify Coordinates. Determine the coordinates of a point shown on a graph.
Verify Solutions.
Complete Tables. Complete a table of solutions for a linear equation given x-values.

Worked examples

Made by the game’s own question engine. Try each one, then open its steps.

Example 1 · Plot Points

Starting

at

the

origin,

you

move

7

units

up,

then

3

units

left .

Which

point

do

you

reach?

$(3, 7)$
$(- 3, - 7)$
$(- 3, 7)$
$(7, - 3)$

Show the worked steps

$The$ $order$ $of$ $the$ $moves$ $does$ $not$ $matter;$ $the$ $point$ $always$ $lists$ $x$ $first.$
$3$ $units$ $left$ $makes$ $x = - 3,$ $and$ $7$ $units$ $up$ $makes$ $y = 7 : (- 3, 7) .$

Answer: $(- 3, 7)$

Example 2 · Identify Coordinates

Point

A

sits

4

units

right

of

the

y -axis

and

6

units

below

the

x -axis .

What

are

its

coordinates?

$(- 4, - 6)$
$(- 6, 4)$
$(4, 6)$
$(4, - 6)$

Show the worked steps

$Distance$ $from$ $the$ $y -axis$ $is$ $the$ $x -coordinate;$ $from$ $the$ $x -axis,$ $the$ $y -coordinate.$
$A$ $is$ $at$ $(4, - 6) .$

Answer: $(4, - 6)$

Example 3 · Verify Solutions

(4, - 1)

is

a

solution

to

which

equation?

$y = 2 x - 9$
$y = - 2 x - 9$
$y = 3 x - 9$
$y = 2 x + 9$

Show the worked steps

$Substitute$ $x = 4$ $into$ $each$ $and$ $look$ $for$ $y = - 1 .$
$2 (4) - 9 = - 1,$ $so$ $y = 2 x - 9 .$

Answer: $y = 2 x - 9$

Where it is in your textbook

Textbook	Lessons
Standard course	4.1
Big Ideas Math Algebra 1	3.2
Big Ideas Math Algebra 1 (2022)	3.3
Carnegie Learning Algebra I	M1 1.1
CPM Core Connections Algebra	1.1.2, 1.2.3, 2.1.1
Eureka Math Algebra I (EngageNY)	1.20-1.21, 3.11-3.13
Glencoe Algebra 1	1-6
Holt McDougal Larson Algebra 1	1.7, 1.8, 3.1, 3.2
Illustrative Mathematics Algebra 1	4.4-4.5
Illustrative Mathematics Algebra 1 (v.360)	5.4-5.5
Math Nation Algebra 1 (Florida B.E.S.T.)	1.2, 5.6
OpenStax Elementary Algebra 2e	4.1
Pearson Algebra 1 Common Core	1-9, 4-2, 4-4
Reveal Algebra 1	3-1
SpringBoard Algebra 1	7

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