Algebra Yr 7

Question 1

How do you find out if coordinates are on a straight line?

Answer 1

Use the algebraic equation to solve - by putting each of the coordinates into the equation

For example for coordinates:
(0,1), (1,2), (2,3)
The equation is y=x+1

If each coordinate pair does not work in the equation the line is not straight (as when it is straight the relation between x and y is always the same)

Question 2

How to solve for x

Answer 2

Do the same thing to each side

Subtract things until you are left with just x on one side

Question 3

Long division when the denominator is larger than numerator

Answer 3

Use decimal point and zeros. 12/15=

• 15) 12.000
• 15 into 12 doesn’t go (put zero)
• put the decimal point back in
• 15 into 120 goes 8 times
• answer is 0.8

Question 4

How to convert decimals to fractions

Answer 4

Count how many decimal places there are in the decimal number.

3 DP = 1000’s
2DP = 100’s
1DP = 10’s

• For example 0.084 has 3 decimal places
• It is 84/1000
• CANCEL CANCEL CANCEL down your fraction to lowest possible terms
• 84/1000
• 48/500
• 21/250

Answer = 21/250

Question 5

If a question has the word “solve” or “solve for …”

Answer 5

use understanding of algebra to work out the answer

Question 6

What do brackets do in an equation?

Answer 6

Force the order of operation

Question 7

Which order do you write algebraic terms in?

Answer 7

Alphabetical

Question 8

Collecting like terms:

1. can you add together 2ab + 4ba?
2. can you add 2ab with 7b

Answer 8

1. Yes = order of ab or ba doesn’t matter here

2. No = 7b is not same as ab

Question 9

Expand means?

Answer 9

Multiply out the brackets

Question 10

Area of a rectangle

Answer 10

L times W

so with algebra is X