Unit 1
Solving Equations
5n - 2 = 8n - 14
n = 4
How many solutions can you have when solving absolute value equations?
Two or None
-3p + 1 < -11 OR p + 4 < 6
(-oo,2)U(4,oo)
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
12, 14, 16, 18, ...
a(n) = 12 + (n-1)2
96
Find the slope
(6,5) & (5,4)
Slope = 1
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
9+5|-5p+3| =14
p = {2/5, 4/5}
4(k + 1)> -68
(-18,oo)
Write an explicit formula for the following geometric sequence and then find the tenth term.
-3, 9, -27, ...
a(n)=−3⋅(−3)n−1a(n)=-3⋅(-3)n-1
59,049
Write an equation in slope-intercept form for the following line.
(5, 2); slope = 2
y = 2x - 8
Solving Equations
6(6n - 2) = 8n - 40
n = -1
|8m-8| = 40
m = {-4, 6}
-8-3(6 +x)<16
(-14,oo)
Write an explicit formula for the following arithmetic sequence and find the 43rd term.
2, 13, 24, 35, ...
a(n) = 2 + (n-1)11
464
Find the slope
(1,1) & (6,10)
slope = 9/5
Solve: I=Prt for t
I/pr = t
-5|4p+4| = -40
p = {-3, 1}
-3≤ 2x+3 <5
[-3, 1)
Write an explicit formula for the following geometric sequence and then find the tenth term.
-3, -12, -48...
a(n)=−3⋅4(n−1)a(n)=-3⋅4(n-1)
−786,432
Write an equation in slope-intercept form for the following line.
(3, 7), slope 5
y = 5x - 8
Solve Ax + By = C for y
y= C-Ax/B
2|g-5|+7 = 13
g = {2, 8}
3x+14<-2(x+13) and 3x-1>5x-13
(-8,6)
Is the following sequence arithmetic, geometric, or neither? Then find the next two terms.
1, -2, -5, -8, ....
Arithmetic; -11, -14
Name the x and y intercepts from the following equation. Write as ordered pairs.
3y - 2x = 9
x-intercept: (-4.5,0)
y-intercept: (0,3)