Two - Step Equations
2x + 7 = 27
x = 10
12a + 9 = 11a + 10
a = 1
A triangle has all three congruent sides and the perimeter is 30 inches. What is the length of the sides?
10 inches
Name the two consecutive integers that have a sum of 45.
22 and 23
Find the two consecutive even integers whose sum in -87.
-44 and -43
-3x - 9 = -21
x = 4
2(m - 3) = 4m - 6 - 2m
Infinitely Many Solutions
Triangle ABC has a perimeter of 41 feet. Side AB is 2x +1, Side BC is 3x + 3, and side AC is x + 7. What is the length (in feet) of side BC?
18 inches
Name two consecutive ODD integers whose sum is 84.
41 and 43
What are the three types of equations with variables on both sides?
One Solution
No Solution
Infinitely Many Solutions
5(x + 7) = 20
x = -3
7y + 10 - 4y = 2y + 19
y = 9
Rectangle ABCD has a perimeter of 96 cms. The length is 3x + 7 and the width is x + 1. What is the measure of both the length and the width in cms?
Length = 37 cms
Width = 11 cms
Find two consecutive even integers whose sum is 90.
44 and 46
Name the five consecutive numbers whose sum is 65.
11, 12, 13, 14, 15
-7x + 9 - 8x = -26
x = 3
-2(c + 10) + 5c = 3(c + 5)
No Solution
In Triangle MNO, Side MN and Side NO are congruent. Side MO is 4 times the other side. This triangle has a perimeter of 72 inches. What is the measure of all three sides?
Side MN = 12 inches
Side NO = 12 inches
Side MO is 48 inches
There are four consecutive even integers whose sum is 132. Name the largest of the integers.
36
Triangle FGH has a perimeter of 30 inches. Side FG and Side GH are congruent. Side FH is three sides plus the other sides. What is the product of Side FG and GH?
16
-8(a - 4) + 7a = 27
a = 5
-10m + 16 + 3m = -5m + 20
m = -2
Rectangle QRST has a perimeter of 140 feet. The length of the rectangle is twice the width plus 10. What is the length and the width of the rectangle?
Length is 50 feet
Width is 20 feet
Two integers have a sum of 72. The largest integer is six times the first plus 2. Find the largest integer.
62
Rectangle WXYZ has a perimeter of 100 feet and the length is 3x + 1 and the width is 2x + 4. What is the AREA of the rectangle?
616 square feet