Solving Multistep Equations
If 2x=12, what is the value of 9x ?
What is 54?
Solve for g
-11/2=22/g
What is g= -4?
Solve for z
1/2za=r
What is z=(2r)/a ?
Two consecutive integers have a sum of 51. What are the two integers?
What is 25 and 26?
This property allows you to multiply a number outside parentheses by every term inside the parentheses.
What is the Distributive Property?
Solve for x
5(x-4)+8=3x-12
What is x=0?
Solve for b
7/(b-3)=5/(b+1)
What is b= -11?
Solve the equation for n.
7 m= 5(n+p)
What is (7m)/5-p ?
The larger of two numbers is 7 more than twice the smaller number. Their sum is 43. What are the two numbers?
What are 12 and 31?
These operations “undo” each other and are used to isolate a variable when solving an equation.
What is inverse operations?
Solve for x.
4(2x-3)+5=8x-7
What is infinitely many solutions?
Solve for w
5/(w+4)=7/(w-6)
What is w = -29?
Solve for p
sqrt(d^2p-n)=d
What is p=(d^2+n)/d^2 ?
Maya practiced piano for 2 more than 3 times the number of minutes Leo practiced. Together, they practiced for 74 minutes. How many minutes did Maya practice?
What is 56 minutes?
When the variables cancel and the equation becomes a false statement, such as 8=3, the equation has this type of solution.
What is no solution?
Solve for x.
3/4(2x-8)+5=1/2x+9
What is x=20?
Solve for f
6/(2x-2)=5/(2x-9)
What is f = 22?
Solve for x
(ax+c)/(x)=d
What is x=c/(d-a) ?
A rectangle’s length is 5 inches less than twice its width. The perimeter is 62 inches. What are the dimensions?
What are 12 inches by 19 inches?
When the variables cancel and the equation becomes a true statement, such as 6=6, this describes the number of solutions to the original equation.
What are infinitely many solutions?
Solve for x
2/3(3x-9)-1/4(x+8)=3/4x-2
What is x = 4?
Solve for x
(4x+1)/(2x-3)=3/5
What is x=7?
Solve for h
a(h+b)=c(h-d)
What is h=(-ab-cd)/(a-c) ?
A rectangle has a length that is 8 inches more than three times its width. The perimeter of the rectangle is 112 inches.
What are the dimensions of the rectangle?
What is width = 12 in and length = 44 in?
This term describes an equation that contains two or more variables and can be rearranged to solve for a specified variable.
What is a literal equation?