r+16=-7
r=-23
2(x+7)+x=20
x=2
Define Like terms
terms that have the same variables and powers
What is slope-intercept form?
y=mx+b
One bag of one pound is full of cotton, and another bag of 1 pound is full of iron. Which bag is heavier?
Both weigh the same
8=m-3
m=11
3(m+1)-2m=0
m=-3
Demonstrate the distributive property using the variables: a, b, and c
a(b + c) = ab + ac
What does the "m" represent in slope-intercept form
slope
When Anna was 50 years old, her daughter Mary was half her age. If Anna is 60 years old today, how old is Mary?
Mary is 35 now.
-3(x-4)=0
x=4
6y=3+5(y-2)
y=-7
Define additive inverse and write an example of one.
a number that when added to a given number gives zero
Example: 3 and -3, 4x and -4x etc.
What does the "b" represent in slope intercept form?
y-intercept
If you take three apples from a group of 5, how many do you have?
-9x+1=-80
x=9
17+2n=21+2n
No Solution
What is a system of equations?Write an example.
A collection of two or more equations that have the same variable
Ex:
2x+1=9
9y-3x+27
Name another word/phrase that can be used to describe slope
rise/run, rate of change
What number do you get when you multiply all numbers on a telephone pad?
zero
5z+16=51
z=7
Jennifer had $24 to spend on five pens. After buying them she had $14. How much did each pen cost?
$2
What is the solution to a system of equations?
A point (x,y) that satisfies all equations
[Answer will be shown on board]
There are 3 positive numbers. You can either add these numbers or multiply them together, getting the same result. Which are the numbers?
Answer: 1, 2, and 3.