Linear Relations
What makes a relation between 2 variables linear?
When there is a constant change in both variables
Which of the following are perfect squares?
2, 9, 16, 32, 49, 70, 111, 144, 196
9, 16, 49, 144, 196
What is the degree of the following polynomial?
3x2 - 2x + x4 - 10
4
Evaluate 1590
1590 = 1
The set of numbers starting with {1, 2, 3, 4, ....} are called what?
Natural numbers
Give an example of a discrete set of data.
I.e. the number of channels on a TV, population, day of the week, elements on the periodic table, etc.
What 2 perfect squares would you use on a benchmark to estimate the square root of 103.
100 and 121
What is the opposite of the following polynomial:
-7x + 5
7x - 5
What is the base in the following expression?:
-63
6
is 0.656565656565... a rational or an irrational number? Why?
rational, because it is a repeating decimal.
What is the general name of the form of equations written as y = mx + b?
Slope-intercept form
The square root of a perfect square decimal is either a ___________ decimal or a ___________ decimal. Fill in the blanks.
Simplify the following polynomial:
x2 + 3x - 4x2 - 2x + 10 - 8
-3x2 + x + 2
What is -24?
-16
Give an example of an irrational number (not in decimal form)
i.e. the square root of 3, the square root of 90, pi
Given the following equations: y = 2, 2x - y = 6, and x = -4 ... which one will create a horizontal line, which one will create a vertical line, and which one will create an oblique line?
horizontal: y = 2
vertical: x = -4
oblique: 2x - y = 6
Determine the number whose square root is 4/9
16/81
What is the following product?
(4x)(2x2 - x - 3) = ?
8x3 - 4x2 - 12x
Evaluate [(-8)2 - (-2)3]
56
Evaluate (-3/10) - (-16/10)
13/10
What are the 2 strategies when extrapolating data?
1. Extend the line
2. Create an equation from a table of values
A square has an area of 144/25 cm2. What is the perimeter of the square?
48/5 cm
What is the quotient of the following polynomial?
(12x3 + 3x2 - 33x) / (-3x)
-4x2 - x + 11
Write the following expression as a single power:
(34)5 / (3)-2
322
Evaluate the following equation (Your answer needs to be in simplest form):
**HINT: Use cross cancelling technique!!
(9/16)*(14/3)
21/8