Multi-Step Equations
1/3x+10=2
x=-24
Solving Equations
5n - 2 = 8n - 14
n = 4
Solve: a=bc for b
b=a/c
If this equation has no solution, then what kind of number is "C" ?
|x|=C
C is a negative number (absolute value cannot be negative)
Write as an inequality:
There are at least 25 students attending the field trip.
x>=25
Solving Equations
4(6 + 5x) = 124
x = 5
Solving Equations
-4(-8p + 1) = -4 - 8p
p = 0
Solve for k
kx - 10 = 22
k=32/x
Solve: |x| = 19
x = {19, -19}
Write as an inequality: the temperature is between 80 and 90 degrees outside, inclusive (inclusive means equal to the end points)
80<=x<=90
Solving Equations
-108 = -8(x + 6) - 4
x = 7
Solve for n
3(6n - 2) = 8n - 40 + 10n
no solution
A rectangle's area A is found by multiplying its length L and width W
Write a formula for the rectangle's length in terms of its area and width
L=A/W
|8m-8| = 40
m = {-4, 6}
-6<(x-12)/4<-2
-12<x<4
Write (but don't solve) an equation to represent the situation:
You earn $225 per week at your after school job. You have $135 in the bank. How many weeks, w, will it take you to earn $3060 ?
13 weeks
Solving Equations
-(5x + 4x) + 5 = 4 - 9x + 1
-5x - 4x + 5 = 4 - 9x + 1
-9x + 5 = 5 - 9x
+9x +9x
5 = 5
infinite solutions
Solve for x:
y=mx+b
x=(y-b)/m
-5|4p+4| = -40
p = {-3, 1}
8x+8>=-64 and -7-8x>=-79
-9<=x<=9
Write and solve an equation (or inequality) for this word problem:
The average of your quiz scores must be at least 90 in order to get an "A" in the class. You took two quizzes already and scored 85 and 88. What is the minimum score you must get on the third quiz in order to get an "A" in the class?
You must score at least a 97 on your third quiz in order to get an "A" in the class
Solving Equations
-5(8n - 4) - n = - 16 - 5n
n = 1
solve for p:
4(p-q)=r
p=q+1/4r
or equivalent
|x - 5|+7 = 13
x = {-1, 11}
T mobile charges $40 sign up fee plus $0.10 per text message.
Verizon charges $60 sign up fee plus $0.05 per text message.
Write (but don't solve) an inequality to represent how many text messages you must send in order for Verizon to be cheaper than T mobile.
40 + 0.10x > 60 + 0.05x