Multi-Step Equations
6(x + 3) - (x + 4) = -11
x = -5
10/x = 8/4
x = 5
|x| = 9
x = {-9, 9}
P = IRT --> Solve for R
The larger of two numbers is two more than five times the smaller number. If the sum of the two numbers is 80, find the two numbers.
13, 67
-8(n - 4) = n - 40
n = 8
9/x-7 = 6/x
x = -14
|x + 6| = 18
x = {-24, 12}
(x + y)/3 = 5 --> Solve for x.
x = 15 - y
The length of a rectangle is 5 inches less than three times the width. If the perimeter is 150 inches, find the dimensions.
20, 55
7(y - 5) +3y = 10(y + 1)
NO SOLUTION
4/m - 8 = 8/2
m = 9
|6x - 3| = 21
x = {-3, 4}
A = h(b + c) --> Solve for b.
b = A/h - c
Camille spent $19.40 less than twice what Olivia spent. In total, they spent $272.35. Find the amount each girl spent.
$97.25 and $175.10
-5(k + 2) = 13 - (k - 1)
k = -6
5/x-3 = 7/x-9
x = -12
|7m| + 4 = 25
m = {-3, 3}
c = 8a - 3b --> Solve for a.
a = c + 3b / 8
A restaurant sold 350 less hot dogs than hamburgers. Altogether, the restaurant sold 700 hotdogs and hamburgers. How many of each did they sell?
525, 175
-6 - (2x + 7) = -2(x + 6) -1
Infinite Solution
5/6 = x-10/3x+6
x = -10
5|2n + 8| + 3 = 33
n = {-7, -1}
P = (R - C) / N --> Solve for R.
R = PN + C
Find three consecutive odd integers such that the sum of the smallest number and middle number is 27 less than 3 times the largest number.
17, 19, 21