Linear, proportional or neither?
Grade 8 Math Worksheet
Circle the best answer, or write your answer on the line.
Read this first
Use the table
input: x output: y 2 -1 5 8 3 2 7 14 In math club, Luz gets a table with the rows mixed up. Is it linear, proportional or neither?
- Linear, not proportional: every rate is 3, but input 0 gives -7
- Neither: the outputs jump 3, 6 and 6
- Proportional: every rate is 3, so the line is straight
Milo's math-club table has no row for input 0. Is it linear, proportional or neither?
- Proportional: every rate is -2, and input 0 gives 0
- Neither: the outputs jump -6, -4 and -2
- Linear, not proportional: every rate is -2, but no row has input 0
Pia plots four points from a rule card in math club. Is the graph linear, proportional or neither?
- Proportional: every rate is 3, so the line is straight
- Linear, not proportional: every rate is 3, but input 0 gives -1
- Neither: some outputs are negative, so a straight line cannot fit them
Ren plots four points from a rule card, but none of them is on the up axis. Is the graph linear, proportional or neither?
- Neither: the points go down, not up
- Proportional: every rate is -2, and input 0 gives 0
- Linear, not proportional: every rate is -2, but no point has input 0
Tala plots five points from a mystery rule. They make a V-like dip. Is the graph linear, proportional or neither?
- Linear, not proportional: the points are evenly spaced across
- Proportional: the point (0, 0) is on the graph
- Neither: the rates are -3, -1, 1 and 3
Zee fills in x = 0, 1, 2 and 3 for the rule y = -3x + 2. Is it linear, proportional or neither?
- Linear, not proportional: every rate is -3, but input 0 gives 2
- Proportional: every rate is -3, so the line is straight
- Neither: the outputs go down
Esme's snowman is 150 cm tall at noon. On a sunny afternoon it melts 4 cm each hour. Input: hours after noon. Output: height. Is it linear, proportional or neither?
- Neither: the snowman gets shorter, not taller
- Proportional: it melts 4 cm every hour, so the line is straight and steady
- Linear, not proportional: 4 cm less each hour, but it is 150 cm at hour 0
Luz builds solid cubes from toy blocks. Edges of 1, 2 and 3 blocks need 1, 8 and 27 blocks. Input: edge. Output: blocks. Is it linear, proportional or neither?
- Neither: the blocks go up by 7, then 19
- Proportional: an edge of 0 blocks needs 0 blocks, and the count grows
- Linear, not proportional: every cube has 6 faces
Use the table
input: week output: height in cm 1 5 2 8 3 11 4 15 5 17 Rows sorted by input.
Milo copied a plant log, and one row has a copying slip. All the other rows are on one line. Which input's row is off the line?
In math club, Noah finds one wrong row in a table. The other rows are all on one line. Which input's row is off the line?