Consider the equation y = 7 x.
What is the value of y when x = - 5?
What is the value of y when x = 0?
What is the value of y when x = 5?
What is the value of y when x = 10?
Hence, complete the table of values:
| x | - 5 | 0 | 5 | 10 |
|---|---|---|---|---|
| y |
For each of the following, use the equation to complete the table of values:
y = x
| x | - 1 | 0 | 1 | 2 |
|---|---|---|---|---|
| y |
y = 5 x
| x | - 10 | - 5 | 0 | 5 |
|---|---|---|---|---|
| y |
y = 5 x + 6
| x | - 10 | - 5 | 0 | 5 |
|---|---|---|---|---|
| y |
y = \dfrac{x}{8}
| x | - 4 | - 2 | 0 | 2 |
|---|---|---|---|---|
| y |
y = - 3 x + 8
| x | - 6 | - 3 | 0 | 3 |
|---|---|---|---|---|
| y |
y = 3 x - 4
| x | - 3 | -1 | 2 | 6 |
|---|---|---|---|---|
| y |
y = - 5 x
| x | - 4 | - 2 | -1 | 2 |
|---|---|---|---|---|
| y |
y = - 4 x - 3
| x | - 2 | -1 | 1 | 4 |
|---|---|---|---|---|
| y |
y = - \dfrac{x}{8}
| x | - 1 | 1 | 4 | 5 |
|---|---|---|---|---|
| y |
y = 4 x - 3
| x | - 4 | 0 | 4 | 8 |
|---|---|---|---|---|
| y |
For each of the following equations:
Construct a table of values for x=-1,0,1,2.
Hence sketch the graph of the linear equation.
Consider the equation y = \dfrac{x}{2}.
Complete the table of values below:
| x | -6 | -4 | -2 | 0 |
|---|---|---|---|---|
| y |
Sketch the graph of y = \dfrac{x}{2}.
Consider the equation y = - \dfrac{x}{5}.
Complete the table of values below:
| x | -10 | -5 | 0 | 5 |
|---|---|---|---|---|
| y |
Sketch the graph of y = - \dfrac{x}{5}.
Consider the equation y = \dfrac{x}{2} + 5.
Complete the table of values below:
| x | -4 | -2 | 0 | 2 |
|---|---|---|---|---|
| y |
Sketch the graph of y = \dfrac{x}{2} + 5.
Consider the equation y = - \dfrac{x}{4} + 5.
Complete the table of values below:
| x | -8 | -4 | 0 | 4 |
|---|---|---|---|---|
| y |
Sketch the graph of y = - \dfrac{x}{4} + 5.
Consider the equation y = \dfrac{x}{6} - 5.
Complete the table of values below:
| x | -5 | -3 | 0 | 6 |
|---|---|---|---|---|
| y |
Sketch the graph of y = \dfrac{x}{6} - 5.
Consider the equation y = - \dfrac{x}{3} - 6.
Complete the table of values below:
| x | -3 | -2 | -1 | 0 |
|---|---|---|---|---|
| y |
Sketch the graph of y = - \dfrac{x}{3} - 6.
Consider the following equations:
Construct a table of values for x=-1,0,1.
Sketch the graph of the equation.
Consider the equation y = - x - 2.
Complete the table of values:
Sketch the graph of the line.
State the coordinates of the axes intercepts.
Find x when y = - 4.
| x | - 1 | 0 | 1 | 3 |
|---|---|---|---|---|
| y |
Consider the equation y = x - 2:
Find the y-intercept.
Find the x-intercept.
Sketch the graph of the line.
Consider the equation y = - 4 x + 4.
Find the coordinates of:
The y-intercept
The x-intercept
Sketch the graph of the line.
Consider the equation 2 x - y - 2 = 0.
Complete the table of values:
Sketch the graph of the line.
State the coordinates of the axes intercepts.
Find x when y = - 5.
| x | - 1 | 0 | 1 | 4 |
|---|---|---|---|---|
| y |
Consider the equation 3 x + y + 2 = 0:
Find the x-intercept.
Find the y-intercept.
Sketch the graph of the line.
A racing car starts the race with 140 litres of fuel. From there, it uses fuel at a rate of 2 litres per minute. Complete the table of values:
| \text{Number of minutes passed} \,(x) | 0 | 5 | 10 | 15 | 20 | 70 |
|---|---|---|---|---|---|---|
| \text{Amount of fuel left}\, (y) |
There are 20 \text{ L} of water in a rainwater tank. It rains for a period of 24 hours and during this time the tank fills up at a rate of 8 \text{ L/h}. Complete the table of values:
| \text{Number of hours passed }(x) | 0 | 4 | 6 | 7 | 9 | 11 | 12 |
|---|---|---|---|---|---|---|---|
| \text{Amount of water in tank }(y) |
Amy is building a brick shed and starts on one of the side walls. Her progress is shown:
Complete the table of values:
| Hours | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Number of layers |
The height of a candle is measured at 15-minute intervals.
Complete the table of values with the height of the candle:
| Time (minutes) | 15 | 30 | 45 | 60 |
|---|---|---|---|---|
| Height (cm) |
Complete the table of values for the figures in the pattern:
| Step number | 1 | 2 | 3 | 4 | 5 | 10 |
|---|---|---|---|---|---|---|
| Number of squares |
Complete the table of values for the matchstick figures in the pattern:
| Step number | 1 | 2 | 3 | 4 | 5 | 10 |
|---|---|---|---|---|---|---|
| Number of matches |
After each week, the number of apples on an apple tree increase according to the given pictures.
Complete the table of values:
| Week | 1 | 2 | 3 | 4 |
|---|---|---|---|---|
| Number of apples |
The following figures were made from matchsticks of equal length:
Complete the table of values for the figures:
| Step number | 1 | 2 | 3 | 4 | 5 | 6 |
|---|---|---|---|---|---|---|
| Number of matchsticks |
The cost of a taxi ride C is given by C = 2.50 t + 3 where t is the duration of the trip in minutes.
Complete the table of values:
| \text{Time in minutes }(t) | 6 | 7 | 8 | 9 | 11 | 16 |
|---|---|---|---|---|---|---|
| \text{Cost in dollars }(C) |