Multistep Equations
-13(4 + 2a) = 208
a= -10
x/2 = 2/ 4
x=1
Solve for r in the formula: d=rt
r= d/t
Define Variables, Set Up & Solve Equation, Answer ?
There are 10 less red skittles than orange skittles in the bag. The orange skittles are also twice the number of red skittles. Find the number of red and orange skittles in the bag.
x = orange. x-10 = red
x = 2(x-10)
There are 20 orange skittles and 10 red skittles.
|x + 3| = 5
x = {-8, 2}
-6(m + 1) + 18 = 24
m= -2
6/(x-3) = 2/7
x=24
2a+b=c
solve for a
a= (c-b)/2
Define Variables, Set Up & Solve Equation, Answer ?
The number of years that George has been on the swim team is 2 less than 4 times the number of years that Jack has. In total, the boys have been on the swim team for 13 years. How low has George been on the swim team?
Jack's years = x. George' years = 4x-2
x+4x-2 = 13
George has been on the team for 10 years.
|2x + 6| = 14
x = {-10, 4}
7k - 8 + 2(k + 12) = 52
k= 4
(x+1)/5 = (x-3)/3
x=9
y=mx+b
solve for b
b=y-mx
Define Variables, Set Up & Solve Equation, Answer ?
The length of the rectangle is 5 less than twice it's width. If the perimeter of the rectangle is 32 inches, find its dimensions.
width = x. length = 2x-5
2(x)+2(2x-5) = 32
width = 7 inches
length = 9 inches
|3x - 6| - 9 = -3
x = {0, 4}
11+3x-7=6x+5-3x
No solution
3/(x+9) = 4/(2x+6)
x=9
C=2pr
solve for r
r=C/(2p)
Define Variables, Set Up & Solve Equation, Answer ?
The sum of three consecutive even numbers is 60. What are the three numbers?
1st # = x. 2nd # = x+2. 3rd # = x+4
x+x+2+x+4 = 60
1st # = 18 2nd # = 20 3rd # =22
5|1 -2x| - 7 = 3
x = {-1/2, 3/2}
2x+3(x-4)=2(2x-6)+x
Infinite solutions (identity property)
-14/(7-y) = 2/(y+5)
y=-7
A=(1/2)bh
solve for b
(2A)/h
Define Variables, Set Up & Solve Equation, Answer ?
In cross country, the team score is determined by the place each individual runner finishes. (1st place = 1 pt, 5th place = 5pts) In their latest meet the boys' xc team scored 55 pts. If there were 5 runners on the team & they finished one after another, what places did they each come in.
1st runner = x 2nd runner = x+1 3rd runner = x+2
4th runner = x+3 5th runner = x+4
x+x+1+x+2+x+3+x+4 = 55
The runners came in 9th, 10th, 11th, 12th, & 13th place.
5 - 8|-3n|-9 = -76
x = {-3, 3}