## Welcome to H3 Maths

Blog Support for Growing Mathematicians

## Posts tagged with variables

### Algebraic Expressions and Main Operators

August29

A key knowledge of how Algebraic Expressions and Operators work is fundamental to improving grades in Middle School Mathematics – and really helpful for older students too! This free H3 Powerpoint explains the main definitions used in Algebra and also links to some interesting short videos. In addition (pun intended), the Powerpoint also has a […]

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### Solving simple Linear Equations

July4

This site offers some good, graded exercises to solve for variables, along with solutions. Other revision topics are also available: LINEAR EQUATIONS – Solve for x in the following equations. x – 4 = 10         Solution 2x – 4 = 10         Solution 5x – 6 = 3x – 8         Solution           Solution          Solution 2(3x – 7) + 4 (3 x + 2) = 6 (5 x + 9 […]

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### Why letters are better than boxes…

March9

This is quite a helpful note from purplemath.com on why we use letters rather than boxes when solving for variables in Algebra: See also this excellent video explanation for use of “x” when solving in Algebra.

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#### Post Support

10 x 9 x 8 + (7 + 6) x 5 x 4 x (3 + 2) x 1 = 2020

NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]