Solving Equations
What is the value of x in the equation 2x+4=12?
x = 4
What type of solution does the equation 2x+5=2x+4 have?
No solution
Solve for w in the equation A=lw.
w = A/l
Two consecutive integers sum to 105. Find the Integers.
52 and 53
What number would make this zero
4/(x-2)=6?
2
Solve for x: 5x−3=2x+9
x = 4
Determine if the equation 2x + 4= x + 1 + x + 3 has no solution, one solution, or infinitely many solutions.
infinite
How do you isolate t in the equation d=rt?
Divide by r on both sides to get t = d/r.
Three consecutive integers have a sum of 24. Find the integers.
7, 8, 9
Solve
(9+2x)=x/3
x = - 27/5
If 3(x−4)=12, what is x?
x = 8
What type of solution does 3(x - 1) = 2x - 5 + x + 2 have?
infinite
Solve the equation C=2πr for r.
r = C/2π
Six consecutive odd integers have a sum of 12. Find the integers.
-3, -1, 1, 3, 5, 7
4/x=3/2
8/3
Solve the equation 2(x+5)=2(2x+20)
x = -15
4x + 2 - x + 1 = 2(2x + 1) - x + 5
no solution
A=(1/2)h(x+y) solve for y
(2A)/h-x
If five times the smaller of two consecutive even integers is added to three times the larger, the result is 150. What are the integers?
18, 20
Solve (5x-2)+8=11
x=1
-4n - 5 + n = 7(7 - 7n) + 6(1 + 6n)
n = 6
Describe the process for deciding if an equation is no solution or infinite solutions
If both sides are the same, it will be all real numbers. If the constants are not equal, it will be no solution.
If Y=mx+b, how do you solve for m?
(y-b)/x= m
Suppose that the lengths of the sides of a triangle are even numbers. What is the length of each side if the perimeter of the triangle is 66 inches?
20 inches, 22 inches, 24 inches
Solve
1/(7-p)=5/(p-7)
No solution