Solve the equation (Find x)
x + 3 = 7
x = 4
4x + 1 = 3 + 6
There is no y-intercept~
4x - y = 9
y = 4x - 9
What is the origin?
(0, 0)
A car travels 60 miles in 2 hours. What is its speed?
4x + 1 = 3 + 5
x = 7/4
y = 2x + 5
5
5x + 2y = 8
y = (-5/2)x + 4
What is the variable representing slope?
m
A train moves at a constant speed. If it covers 90 miles in 3 hours, how far does it go in 5 hours?
150 miles
2x + 11 = 2 - 5
x = -7
-2x + y = 7
6x - 3y = 12
y = 2x - 4
What is y = mx + b?
Slope-intercept form
A phone company charges a $10 flat fee and $0.05 per minute. Write an equation for the total cost.
4(2x - 3) - 3(2x + 1) = 5
x = 10
(1/3)(x + 2) = 1/2(y - 1) - 4
31/3
7x + y = 14
-7x + 14
What is a linear equation?
We will accept VALID explanations (no necessarily correct answer)
A farmer has twice as many cows as chickens. If there are 30 animals in total, how many are cows?
20 cows
3(2x - 1) - 4(1 - x) = 5(2x + 3) - 7(x - 2)
x = 36/7
3(y - x/2) + 4 = 2(x/3 + y) - 5
-9
10x - 5y = 20
y = 2x - 4
What is an equation with two terms called?
Binomial
The sum of two numbers is 40. One number is twice the other. What are the numbers?
13.33 and 26.66