Multi- Step Equations
3(x + 4) = 5x - 8
x= -10
A soccer field is a rectangle 100 meters wide and 130 meters long. The coach asks players to run from one corner to the other corner diagonally across. What is that distance? Round to nearest whole number.
164 Meters for a player to run from one corner diagonally to another
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 6 and 8.
10
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=3 and c=5
a=4
In the Pythagorean theorem a2 + b2 = c2, what are a and b called?
Legs
2(a - 3) + 5 = 3 (2a+1)
a = -1/2
How far from the base of the house do you need to place a 15-foot ladder so that it exactly reaches the top of a 12- foot tall wall?
9 feet from the base of the wall is where the ladder touches
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 5 and 12.
13
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=5 and c=13
a=12
In the Pythagorean theorem a2 + b2 = c2, what is "c" called?
Hypotenuse
2(4x - 3) = 10
x = 2
A baseball diamond is a square that is 90 feet on each side. What is the distance a catcher has to throw the ball from home to second base? Round to the nearest whole number
127 feet is the distance the catcher has to throw from home to second base
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 9 and 12.
15
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with a=15 and c=17
b=8
Pythagorean Theorem can ONLY be used with _________________.
Right triangles
2/3x + 7 = 15
X = 12
David leaves the house to go to school. He walks 200m west and 125m north. How far away is he from his starting point? (the diagonal) Round to the nearest whole number
David is approximately 236 meters away from his starting point
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 8 and 15.
17
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=20
a=16
True or False:
Pythagorean Theorem can be used to only find the hypotenuse
False
4(2x +3) - 5 = 3(2x - 1)
x = -5
A park is in the shape of a rectangle 8 miles long and 6 miles wide. How much shorter is your walk if you walk diagonally across the park than along the two sides of it?
It would be 4 miles shorter to walk diagonally through the park. It is 10 Miles to walk diagonally across and it is 14 miles to walk the edges. 14-10 equals 4 miles you save walking diagonally.
Use the Pythagorean theorem a2 + b2 = c2 to find the missing hypotenuse for the triangle whose legs are 12 and 16.
20
Use the Pythagorean theorem a2 + b2 = c2 to find the missing SIDE for the triangle with b=12 and c=15
a = 9
What is the name of the formula a^2 + b^2 = c^2?
Pythagorean Theorem