Straight line graphs

Complete the table of values for y 2x 1

On the grid, draw the graph of y 2x 1 for values of x from –2 to 3

On the grid, draw the graph of y = 2 x – 5 for values of x from –1 to 4

Solve the inequality 7 – 3t < 2t + 15

The region R, shown shaded in the diagram, is bounded by three straight lines.

Write down three inequalities that define the region R

On the grid, draw the graph of y = 4 – 2 x for values of x from –1 to 4

The region R, shown shaded in the diagram, is bounded by three straight lines.

Find the inequalities that define R

On the grid below, draw the graph of y = 1 – 2x for values of x from –2 to 3

On the grid, draw the graph of 5x + 2y = 10 for values of x from –2 to 4

On the grid, draw the graph of y = 2 x – 1 for values of x from –1 to 4

On the grid, draw the graph of y = 2 x – 3 for values of x from –2 to 4

Write down an equation of the straight line with gradient –3 and which passes through the point with coordinates (0, 5)

Show, by shading on the grid, the region defined by all three of the inequalities

Label the region R

The shaded region in the diagram is bounded by three lines. The equation of one of the lines is given.

Write down three inequalities that define the shaded region.

Use the graph to find estimates for the solutions of the equation 2x² − 4x − 1 = 0 Give your solutions correct to one decimal place.

By drawing a suitable straight line on the grid, find estimates for the solutions of the

On the grid, draw the graph of y = 3 – 2x for values of x from –2 to 3

On the grid, draw and label the straight line with equation

x = 1.5

y = x

x + y = 6

Show, by shading on the grid, the region that satisfies all three of the inequalities

Label the region R.

On the grid, draw the graph of y = 7 – 4 x for values of x from −2 to 3

Show, by shading on the grid, the region that satisfies all three of the inequalities

Label the region R.

On the grid, draw the graph of y= 3x+ 2 for values of x from −2 to 4

The shaded region in the diagram is bounded by three lines. The equation of one of the lines is given.

Write down the three inequalities that define the shaded region.

Complete the table of values for y = 3x – 1

On the grid, draw the graph of y = 3x – 1 for values of x from –1 to 6

– 2

Write down the integer values of x that satisfy the inequality −2 x ≤4

The region R, shown shaded in the diagram, is bounded by three straight lines.

Write down the three inequalities that define the region R.

Write down the integer values of x that satisfy the inequality –2 x 4

The region R, shown shaded in the diagram, is bounded by three straight lines.

Write down the three inequalities that define the region R.

On the grid, draw the graph of y = 2 x + 3 for values of x from í2 to 3

Show, by shading on the grid, the region that satisfies all three of the inequalities

Label the region R.