Solving for X
3x + 30 = 42
x = 4
7x + 9 > 37
Graph the answer on a number line.
x > 4
(5, 2) (1, 3) (0, -4) (5, -2)
No
Solve the following system using substitution:
y = 5
2x + 4y = 14
(-3, 5)
Define domain:
All x values from farthest left to farthest right.
11(2x - 5) = 77
x = 6
-4(3x - 8) < 52
x > 7
How can you tell if a graph is a function?
If you pass a vertical line over the graph, it will only touch one point at a time.
Ex: A line
Solve the following system using substitution:
y = 7x
9x - 2y = -5
(1, 7)
Define Range:
All y values from minimum to maximum values.
Combine like terms
8x + 7x - 3(4x - 1)
3x + 3
Identify the slope and the y intercept:
y > 2x - 1
Would there be a dashed or solid line?
Would the shading be above or below the line?
M: 2
b: -1
dashed
above
Is the graph of a circle a function?
No
Solve the following system using Elimination:
3x + 2y = 14
3x + 15y = 66
(2, 4)
What is the range of this function?
(9, 0) (11, 2) (13, 4) (15, 6)
y = {0, 2, 4, 6}
7 - 6(2x + 8) = 4x - (6x - 5)
x = -4.6
Identify the slope and the y intercept:
y < -5/6x + 11
Would there be a dashed or solid line?
Would the shading be above or below the line?
M: -5/6
b: 11
dashed
below
Calculate the following function:
f(x) = 15x - 7
f(-4)
f(-4) = -67
Solve the following System using Elimination:
x + 7y = -33
-x + 12y = -43
(-5, -4)
What is the domain of the function?
(-5, 6) (-4, -2) (8, -1) (7, 22)
x = {-5, -4, 8, 7}
9x + 12x + 14 = -7(5x + 2)
x = -0.5
Identify the slope and the y intercept:
y >5 - 4x
Would there be a dashed or solid line?
Would the shading be above or below the line?
M: -4
b: 5
dashed
above
Calculate the following function:
f(x) = -2x + 43
f(-8)
f(-8) = 59
Write a system for the following:
Jane buys a 2 packs of gum and a 3 bags of chips at the convenience store for 14.77. Bill buys 4 packs of gum and 1 bag of chips for 12.55. How much were packs of gum and bags of chips?
2x + 3y = 14.77
4x + y = 12.55
x = # of packs of gum
y = # of bags of chips
If the line of the graph has arrows on both ends, how would domain and range be indicated?
Domain: -8 to 8
Range: -8 to 8