Basic Algebra
Solve
x + 7 = 12
x = 5
Is this a linear function
x2 + 15 = y
NO
how many types of solutions can 2 linear functions have
0, 1, or infinite
Define range
all y values for a function
Is this a function
(0,3)(2,3)(4,8)(1,4)
YES
Simplify
8x + 2x = ?
10x
Find the slope
3x + 7 = 12
3
Solve by graphing
y = x + 2
y = -2x + 6
(1,4)
Define domain
all x values for a function
What is the vertical Line test
A test to tell whether a graph is a function
Simplify
4x - 2x + 7 + 4
2x + 11
Write the equation of a line that has a slope of -4 and a y-intercept of 3
y = -4x + 3
Solve by substitution
y = 3x + 5
45 = 3y + x
(3,14)
What is the range
y = 3x + 8
all real numbers
what does f(3) equal
f(x) = 2x + 9
15
Solve
7x + 15 = 64
x = 7
Graph on paper
y = 3x + 1
(on paper)
Solve by elimination
2x + 3y = 10
x + 4y = 10
(2,2)
What is the domain
y = 28x - 32
all real numbers
If f(x) = x² + 1, what is the output when x = 3?
10
Simplify
12(x + 5) - 3x + 4
9x + 64
Write the equation for a line that passes through the points (3,17) and (6,24)
y - 17 = 7/3(x - 3)
y - 24 = 7/3(x - 6)
y = 7/3x + 10
Solve
y = 3x + 4
4y = 12x +16
Infinite solutions
What is the range
y= 2x2 - 6
y>=-6
Determine which equation is NOT a function
x = 3y + 2
y = 4x + 8
x = 3y + 2