Multi-Step Equations
Solve the equation for x:
2x+5=15
x=5
Solve the equation for x:
x/2+1=-1/2
x=-3
Solve for x:
y=3x+7
x=(y-7)/3
If the length of a rectangle is 4x+3 inches and its width is 3x-2 inches and its perimeter is 184 inches, what is x?
x=13
Solve the equation for x:
3x-4=2x+5
x=9
Solve the equation for x:
(3x)/4-2=4
x=8
Solve for h:
A=1/2bh
h=2A/b
A rock is thrown vertically up in the air. The height, h, in feet of the rock after t seconds can be found using the following equation. Find the height of the rock after 2 seconds.
h=-16t^2+128t
h=192 feet
Solve the equation for x:
4(x-2)+6=18
x=5
Solve for x:
(2x-5)/3=(x-1)/2
x=13
Solve for w:
P=2l+2w
w=(P-2l)/2
The sum of two numbers is 45. One number is 9 more than the other. Write an equation to find the numbers.
x+(x+9)=45
The numbers are 18 and 27.
Solve the equation for x:
5x+2(x-1)=3x+10
x=3
Solve for x:
(5x+2)/6-x/3=4
x=11/2 or 5.5
Solve for c2
E=mc2
c^2=E/m
The perimeter of a rectangle is 56 cm. The length is 3 times the width. Write an equation and find the dimensions.
The width is 7 cm and the length is 21 cm
Solve the equation for x:
-3(2x+6)=6(3x+1)
x=-1
Solve for x:
(2x+6)/4=(x+3)/2
Infinite solutions (All real numbers)
Solve for m:
y-5=m(x-2)
m=(y-5)/(x-2)
A train travels 60 mph. How long will it take the train to travel 150 miles? Use the equation below. Give your answer in minutes.
d=rt
24 minutes