Math 8

Question 1

area models

Answer 1

When adding two polynomials together, imagine they represent dimensions of a rectangle. (2x + 3)(x + 4).

Question 2

Converting repeating decimals into fractions

Answer 2

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.

Question 3

What is the starting point of a pattern?

Answer 3

The number of objects in figure zero.

Question 4

What is the difference between linear and non-linear patterns?

Answer 4

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.

Question 5

functions

Answer 5

A single input with one output.

Question 6

Linear

Answer 6

It grows at a constant rate. It has a straight line.

Question 7

Non-linear

Answer 7

It is not linear and it doesn’t grow at a constant rate.

Question 8

Factoring

Answer 8

Taking a single equation and rewriting it as the product of 2 or more expressions.

Question 9

Simplifying Expressions

Answer 9

When you simplify an expression you combine the like terms.

Question 10

Evaluating Expressions

Answer 10

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

Question 11

Solving Equations

Answer 11

Solving what the variable is by solving both sides.
Answer should be like -
x = 8

Question 12

Graphing Proportional Relationships

Answer 12

A proportional relationship on a graph is that it is a straight line and starts at the origin (0,0).

Question 13

Visual Patterns

Answer 13

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.

Question 14

Constent of Proportionally

Answer 14

The constent of a graph is the y axis divided by the x axis.

y = kx

Question 15

Scientific Notation

Answer 15

The answer has to be greater than or equal to 1 and less than 10.

Example:
5 * 10^3

Question 16

Square Roots

Answer 16

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.

Question 17

Cube Roots

Answer 17

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.

Question 18

Rational numbers

Answer 18

Any number that can be expressed as the fraction of two integers.
Example:
6.46 repeating

Question 19

Irrational numbers

Answer 19

Any number that cannot be expressed as the fraction of two integers.
Example:
Anything with PIE is an irrational number.

Question 20

Whole numbers

Answer 20

They are numbers that are not negative numbers and they don’t need to be represented with a decimal or fraction.
Example:
28,100

Question 21

Integers

Answer 21

All integers are whole numbers and rational numbers.
Example:
240

Question 22

Exponents with negative integer base and integer bases

Answer 22

Exponents with integer base: -5^2 = positive 25

Exponents with negative bases: (-2/4)^2 = negative 4/16