Riddle Lines Worksheet
Riddle Lines Worksheet
Mixed Horizontal & Vertical Line Challenges
Name:
Date:
Pd:
Mission: Solve each clue to find the equation. All solutions are between -7 and 7.
VUX: x = c (Vert, Undefined) HOY: y = c (Horiz, 0)
1. \(x\) is equal to the number of legs on an insect minus the number of wheels on a standard car.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
2. \(y\) is equal to the sides on a triangle minus the freezing point of water in degrees Celsius.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
3. \(y\) is equal to the eggs in a baker’s dozen minus the number of legs on an insect.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
4. \(x\) is equal to the periods in an ice hockey game minus the number of sides on a hexagon.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
5. \(x\) is equal to the primary colors in art minus the number of bits in a single computer byte.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
6. \(y\) is equal to the feet in a standard yard minus the number of recognized world oceans.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
7. \(y\) is equal to the tentacles on an octopus minus the number of legs on a garden spider.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
8. \(x\) is equal to the sides on a regular heptagon minus the wheels on a standard bicycle.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
9. \(x\) is equal to the moons orbiting Earth minus the wheels on a typical motorcycle.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
10. \(y\) is equal to the goals in a soccer hat-trick minus players on defense in baseball.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
11. \(y\) is equal to the wheels on a unicycle minus the planets in our solar system.
Work: [ ___ ] − [ ___ ] \(y =\) _____
Type: [ ] Horiz [ ] Vert Slope:
12. \(x\) is equal to colors in a classic rainbow minus the number of suns in our solar system.
Work: [ ___ ] − [ ___ ] \(x =\) _____
Type: [ ] Horiz [ ] Vert Slope:
Turn to Page 2 to graph all 12 decoded lines on the Master Radar Grid! Page 1 of 2
Master Coordinate Radar Grid
Plot all 12 lines • Scale: −7 to 7 on both axes
Student ID / Name:
Graphing Directions: Draw each line completely across the grid with arrows. Label each line with its clue number (1–12).
x y -7 -5 -3 -1 1 3 5 7 7 5 3 1 -1 -3 -5 -7
? Radar Analysis & Challenge Questions
1. Target Intersection Check
Which vertical line and horizontal line intersect at the point \((2, -2)\)?
Vertical: Clue #____ Horizontal: Clue #____
2. Boxed Sector Area
Find the rectangle bounded by \(x = -1\) (Clue 9), \(x = 5\) (Clue 8), \(y = 0\) (Clue 7), and \(y = 3\) (Clue 2).
Width: ____ units Height: ____ units Area: ____
3. The X-Axis Twin
Which of the 12 lines lies directly on top of the x-axis? What is its slope?
Clue #____ (\(y = \) _____) Slope: \(m =\) _____
4. Parallel Geometry Mystery
Why will the line from Clue 1 (\(x = 2\)) and Clue 12 (\(x = 6\)) never meet?
They are parallel because: _____________________
Riddle Lines Worksheet • Mastery & Analysis Page 2 of 2
Riddle Lines Answer Key
Riddle Lines Answer Key
Teacher Edition
Complete Clue Solutions & Line Classifications
Riddle Lines Mission
Grades 7–9 Algebra • Linear Equations
Grading Benchmark: 12 Clues (1 pt calculation + 1 pt equation + 1 pt slope/type) = 36 pts
6 Vertical Lines (\(x = c\)) 6 Horizontal Lines (\(y = c\))
Clue 1: Insects (6) − Car Wheels (4) \(x = 2\)
Work: \(6 - 4 = 2\)
• Vertical Line Slope: Undefined x-int: (2, 0)
Clue 2: Triangle (3) − Freezing °C (0) \(y = 3\)
Work: \(3 - 0 = 3\)
• Horizontal Line Slope: \(m = 0\) y-int: (0, 3)
Clue 3: Baker’s Doz (13) − Insect (6) \(y = 7\)
Work: \(13 - 6 = 7\)
• Horizontal Line Slope: \(m = 0\) y-int: (0, 7)
Clue 4: Hockey (3) − Hexagon (6) \(x = -3\)
Work: \(3 - 6 = -3\)
• Vertical Line Slope: Undefined x-int: (-3, 0)
Clue 5: Prim. Colors (3) − Byte (8) \(x = -5\)
Work: \(3 - 8 = -5\)
• Vertical Line Slope: Undefined x-int: (-5, 0)
Clue 6: Yard (3) − Oceans (5) \(y = -2\)
Work: \(3 - 5 = -2\)
• Horizontal Line Slope: \(m = 0\) y-int: (0, -2)
Clue 7: Octopus (8) − Spider (8) \(y = 0\)
Work: \(8 - 8 = 0\) (Coincides with x-axis)
• Horizontal Line Slope: \(m = 0\) y-int: (0, 0)
Clue 8: Heptagon (7) − Bicycle (2) \(x = 5\)
Work: \(7 - 2 = 5\)
• Vertical Line Slope: Undefined x-int: (5, 0)
Clue 9: Earth Moon (1) − Moto (2) \(x = -1\)
Work: \(1 - 2 = -1\)
• Vertical Line Slope: Undefined x-int: (-1, 0)
Clue 10: Hat-Trick (3) − Defense (9) \(y = -6\)
Work: \(3 - 9 = -6\)
• Horizontal Line Slope: \(m = 0\) y-int: (0, -6)
Clue 11: Unicycle (1) − Planets (8) \(y = -7\)
Work: \(1 - 8 = -7\)
• Horizontal Line Slope: \(m = 0\) y-int: (0, -7)
Clue 12: Rainbow (7) − Suns (1) \(x = 6\)
Work: \(7 - 1 = 6\)
• Vertical Line Slope: Undefined x-int: (6, 0)
Teacher Notes & Common Misconceptions:
• Slope Confusion: Students frequently confuse \(m = 0\) (zero slope) with undefined slope. Remind them that walking on a flat floor is zero steepness (\(y=c\)), while a vertical wall cannot be walked on (undefined, \(x=c\)).
• Axis Confusion: The x-axis itself has the equation \(y = 0\), and the y-axis is \(x = 0\). Many students swap these due to the axis labels.
