Algebraic skills

1

Calculate the gradient, leaving your answer as a fraction, fully simplified.

Diagram of a right-angled 5m x 15m triangle

2

Use the diagram to calculate the gradient as a decimal, correct to 1 decimal place.

Diagram of a right-angled 1.2m x 6m triangle

3

Which of the following roads is the steepest?

3 triangles to illustrate the distance x height of roads A, B and C

4

Where does the line y =  - 4x - 2 cut the y-axis?

5

What is the equation of the straight line, which passes through the point (0, -7) and has a gradient of 4, in the form y = mx + c.

6

Calculate the gradient of the line below.

Line on a graph connecting plot points A and B

7

Find the equation of the line below.

A line on a graph

8

Solve the following equation.

10z + 17 = 47.

9

Solve the following equation.

6x + 11 = 4x  + 27.

10

I think of a number, double it and add 1. The answer is 33.

Write down an equation to represent this information.

11

Solve the following inequation.

9p + 11 \textgreater 29

12

Solve the following inequation.

4y - 8 \le 12.

13

Solve the following inequation.

3x + 10 \ge 13

14

Given the equation S = \frac{D}{T}, change the subject of the formula to D.

15

Given the equation, C = 2\pi r, change the subject of the formula to r.