Math 8 Flashcards
area models
When adding two polynomials together, imagine they represent dimensions of a rectangle. (2x + 3)(x + 4).
Converting repeating decimals into fractions
multiply by either 10, or 100 or, until the numbers that aren’t repeated are whole numbers then subtract by x (x = #) then divide by either 9 or 99.
What is the starting point of a pattern?
The number of objects in figure zero.
What is the difference between linear and non-linear patterns?
Linear patterns grow at a constant rate. If you graph them, they form a straight line. Non-linear patterns do not grow at a constant rate.
functions
A single input with one output.
Linear
It grows at a constant rate. It has a straight line.
Non-linear
It is not linear and it doesn’t grow at a constant rate.
Factoring
Taking a single equation and rewriting it as the product of 2 or more expressions.
Simplifying Expressions
When you simplify an expression you combine the like terms.
Evaluating Expressions
When you evaluate an expression it gives you the value of the unknown number in an equation, so you then add the value into the equation then you solve it.
Example:
x = 2
4(4 * 8x) + 3x
4(4 * 16) + 6
16 * 64 + 6
= 1030
Solving Equations
Solving what the variable is by solving both sides.
Answer should be like -
x = 8
Graphing Proportional Relationships
A proportional relationship on a graph is that it is a straight line and starts at the origin (0,0).
Visual Patterns
Patterns like
Example:
0 0 0
0 0 0
0 0
0
Then you draw the previous and the next graph, see how it’s growing( a number), see how it’s changing, see what the Initial condition is/seeing how it starts, then graph it, and make an equation.
Constent of Proportionally
The constent of a graph is the y axis divided by the x axis.
y = kx
Scientific Notation
The answer has to be greater than or equal to 1 and less than 10.
Example:
5 * 10^3
Square Roots
The square root of a number is what two number multiplied by each other equal that number.
Example:
The square root of 81 is 9 because 9 times 9 equals 81.
Cube Roots
The cube root of a number is what three numbers multiplied by each other equal that number. Like what number to the power of 3 equals the number.
Example:
The cube root of 64 is 4 because 4 times 4 times 4 equals 64.
Rational numbers
Any number that can be expressed as the fraction of two integers.
Example:
6.46 repeating
Irrational numbers
Any number that cannot be expressed as the fraction of two integers.
Example:
Anything with PIE is an irrational number.
Whole numbers
They are numbers that are not negative numbers and they don’t need to be represented with a decimal or fraction.
Example:
28,100
Integers
All integers are whole numbers and rational numbers.
Example:
240
Exponents with negative integer base and integer bases
Exponents with integer base: -5^2 = positive 25
Exponents with negative bases: (-2/4)^2 = negative 4/16
