Graphs equations and tables.External on the 14th of November

4 credits

Thanks to http://www.studyit.org.nz/subjects/maths/math1/3/2011 Ms Allan

Mathematics 1.3Investigate relationships between tables,

equations and graphsLinear equations

Simultaneous linear equationsLinear graphs

Linear patternsGraphing parabolasQuadratic equationsQuadratic patterns

Exponential equations and graphsInterpreting gradients

Linear equations

Solve for a,b and c:

3a+6 = 3-4a3(b + 2) = 154c – 9 > c + 7

Simultaneous linear equations

Solve for A and bA = 3b + 2A = 6b - 8

Linear graphs

Draw these graphs on a set of axis y = 2x + 3

X = 3Y = 8

Y = -0.5x - 1

Linear patterns

For the sequence of diagrams below, find the rule for the number

of white tiles (w) in terms of the number of black tiles (b).

Graphing parabolas

Draw these graphs on a set of axis

y = x2 + 3y = -x2 + 2y = (x-4)2

y = (x+4)2 + 1

Quadratic equations

What are the x intercepts ofY=(x-3)(x+4)

Solve for x by factorising first0 = x2 + 7x + 12

Quadratic patterns

Find a rule for calculating the total number of boxes in each diagram, if the number of boxes in

the bottom layer is known.Draw up a table to show the number of boxes in

the bottom layer and the total number of boxes in each diagram.

Calculate the differences between the terms.

Exponential equations and graphs

Draw the graphs of these equationson an x and y axis.

Y=2x

Y=3x + 2Y=4x

Interpreting gradients

Calculate the gradient of the 3 linear graphs.What do these gradients represent?