Vocabulary
What is the equation for slope-intercept form?
y=mx+b
If we have the equation 5x-2y=4, what is the value of y when x=3?
5.5
or
11/2
What is a function?
a relationship between inputs where each input is related to exactly one output
or
A relationship where the x-value (input) never repeats
If you want to use a matrix to solve a system of equations, what form do your equations need to be in?
Standard form
Ax+By=C
Solve the riddle.
I have hands, but I cannot shake your hands. I have a face, but I cannot smile at you. What am I?
A clock.
Which number(s) below are coefficients?
4 - 2 + 5x - 1 = 3x + 6 - 7y + 8 - 9
5, 3, -7
Solve this equation for x.
6x - 3 + 2x - 1 = 4x - 2 + 3x - 1
x=1
Does this relationship represent a function?
{(2,3), (4,3), (1,2), (-2,3), (4,5), (3,6), (7,8)}
If not, you must identify which points make it NOT a function.
This is not a function because (4,3) and (4,5) repeat an x-value.
When we look at a graph of a system of equation, what would tell us there is no solution?
They are parallel lines.
Solve the riddle.
What can make an octopus laugh?
Ten-tickles
What does it mean when lines are parallel?
They have the same slope/they never cross.
Is (4,-3) a solution to this inequality?
y<10x-4
Yes
Find the constant of variation if when x=12, y =48.
Make sure you include the correct variable to represent the constant of variation.
k=4
What is the solution to this system?
y=3x-4
2x-6y=8
(1, -1)
What is the solution to this inequality?
6x + 1 < 9 – 2x
x<1
What does is it mean to be a solution to a system of equations?
The point where two lines intersect
or
The point that makes both equations true
Graph the inequality on the board.
y>2x-1
Your inequality should have:
-A dotted line
-Be shaded 7on the top
-A y-intercept of -1
-A slope of 2
If x varies directly with y and x=42 when y = 21, what is x when y is 54?
x=108
What is the solution to this system?
10x-12y=48
5x-6y=24
∞ (Infinity)
The length of a rectangle is three centimeters less than twice its width. If the perimeter of the rectangle is 18 centimeters, find its dimensions.
l=5
w=4
What is the distributive property?
You may explain by showing an equation where you would use it.
A number on the outside of parenthesis is distributed to each term on the inside of parenthesis.
The product of a sum is equal to the sum of each product.
Simplify this equation. Then write it in slope intercept form.
4x-2y=8-2x
y=3x-4
What is the domain of the function y=2x-1?
You may use your calculator to help you graph it.
R (All Real Numbers)
What is the solution to this system of equations?
-x + 3y = -1
y = (1/3)x - 1
∅ (No solution)
Multiply this polynomial.
(x-2)(x+3)
Hint: Remember the box method.
x2 + x - 6