What are integers?
Integers are the set of positive and negative whole numbers.
What capital letter is used to represent the set of integers?
The capital letter Z is used to represent the set of integers.
What are the rules for adding integers with the same signs?
7+3 =
-2-6 =
When signs are the same, add the numbers and keep the sign.
7+3 = 10
-2-6 = -8
What are the rules for adding integers with different signs?
12-4 =
-6+5 =
When the signs are different, get the difference between(subtract) the two numbers and keep the sign of the bigger number.
12-4 = 8
-6+5 = -1
When multiplying or dividing integers like signs give …?
+ (plus)
When multiplying or dividing integers unlike signs give …?
- (minus)
expression
A set of terms linked by
It does not have an equal sign.
term
a number of letters on its own e.g. x and -4 are terms
or numbers and letters multiplied together
e.g. 3y
variable
Variables are values that can change or that are unknown.
In algebra they are represented by letters
constant
A constant is a number that is fixed and does not change
coefficient
the number before a variable
evaluate
find the value for the expression, when you are given the values of each variable
linear equation
an equation where the highest power of any variable is one
it results in a straight line graph when plotted
linear inequality
A linear inequality compares two linear expressions using inequality symbols (<, >, ≤, ≥) instead of an equals sign (=)
simultaneous equations
When two equations share variables e.g. have the same value for x and y
Simultaneous equations may be linear or non-linear
intersection
a point where two or more lines meet
BIMDAS
Brackets
Indices or Powers
Multiplication
Division
Addition
Subtraction
equation
An equation has an equals sign.
An equation states that to expressions are equal in value.
True or False?
Always square before multiplying when you evaluate an expression
True
What is the rule for multiplying or dividing both sides of an inequality by a negative number?
An inequality sign is reversed when both sides are multiplied or divided by an negative number
