2 angles whose sum is 90o
Complementary
Perimeter of a triangle with sides (x+3), (2x+4), and (4x+5)
7x+12
Distribute
6(x + 4)
6x + 24
Kendra is 3 times her daughter’s age plus 7 years. Kendra is 49 years old. Write an equation to find her daughter‘s age.
3x+7=49
How many degrees does the earth spin in rotation?
360o
2 angles whose sum is 180o
Supplementary
Perimeter of a square that has a length of 12?
48
Distribute
-2(x - 5)
-2x + 5
Pierce is making a rectangular frame for a photo collage that has a perimeter of 72.2 inches. The length of the frame is 20.3 inches. Whats the equation to find the width of the frame?
x+x+20.3+20.3=72.2 or 2x+40.6=72.2
What operation do you use to find the perimeter?
Addition
Complementary angles have measure of 3x and 6x+18
x = 8
If a rectangle has a perimeter of 60 and it's side lengths of 12, give the equation to help solve the problem
x+x+12+12=60 or 2x+24=60
Factor
4x - 12
4(x - 3)
What equation shows a rectangle with a length twice it's width equal to 12
x+x+2x+2x=12 or 6x=12
How many quarters makes up $75
300
Supplementary angles have the measures 12x + 35 and 25. Solve for x
x = 10
The perimeter of a regular hexagon is 120", each side is (x+17). What is the value of x?
x=3
Factor
-9x + 81
-9(x - 9)
Each time Cheryl runs, she runs 3 miles. She rides her bike only on Saturdays and always for 10 miles. She exercises the same amount each week. She rides and runs for a total of 22 miles in a week. What equation can be used to find out how many times Cheryl goes running each week?
3x+10=22
If you can run at a constant rate of 8 miles in 2 hours, how far would you get in 30 minutes?
2 miles
Vertical angles have the measures (3x + 24) and 60o solve for x
x = 12
A square has sides x+4, if x=11 what is the perimeter
perimeter=60
Factor
-3x - 36
-3(x + 12)
Jadyn wants to order pizza for his party on Saturday. He has to pay a 6 dollar delivery fee and 8 dollars a pizza. If he has $62 to spend on pizza, create an equation to describe this scenario. Then solve for the number of pizzas.
8x+6=62
x=7 pizzas
If a pizza is sliced into 8 slices, how many degrees is the angle of each pizza slice?
45o