Lines
What is the equation of a line that goes through the points (5, 2) and (0, 0)
y = 2/5x
What is the goal whenever you are solving an equation?
Get the variable alone
Draw a graph that would be a function
varies
Which has a higher slope?
y = -4x + 17
a line that goes through the points (9, -20) (3, -2)
the second one. -3 > -4
Where do the two lines cross?
y = 3x + 2
y = 3x - 1
They never cross. They are parallel because they have the same slope.
What happens when both sides of the equation are exactly the same?
The answer is infinite solutions
What is the definition of a function?
Every input only has 1 output
Solve the equation:
12x + 32 = -3(-4x + 3)
No solution
Write an equation that matches the story:
Mr. Curtis has 89 board games in his collection. He gets 3 more games every month.
y = 3x + 89
Solve the equation:
5(x - 3) + 12 = -2x + 11
How much popcorn can a cylinder popcorn bucket hold if it is 10 inches tall and has a diameter of 8 inches?
160pi = 502.65
simplify.
x4 * x-7
1/x3
From the previous question:
How many games will Mr. Curtis have in 3 years.
197
Fill in a and b to make the equation true:
ax + 15 = -3(4x + b) + 5x
a = -7
b = -5
What test do you use to see if a graph is a function?
Vertical Line Test
What is the third angle of a triangle with the following angles?
30, 47, ______
75, 101, ______
103
4
Solve the system of equations by graphing:
y = -2x + 9
y = 1/4x
(4,1)
Solve the system of equations without graphing:
y = 3x - 6
y = -2x + 19
x = 5, y = 9 (5,9)
Draw a graph that matches the following story:
Danielle has to drive her kids around. She first drives two miles to the park to pick up her son from soccer practice, then drives 3 miles to the store. After 1 hour of shopping, she drives 5 miles home.
varies
Graph the following lines:
y = -4
x = 2
...