Algebra I EOC Practice
SPI 3102.4.2: Solve contextual problems using the Pythagorean Theorem.
1. A park is in the shape of a rectangle 3 km long and 1.6 km wide. You are walking from point A to point B. How long is your walk if you walk diagonally across the park?
A. 4.6 km
B. 11.56 km
C. 1.4 km
D. 3.4 km
2. The blueprints of a house indicated that the length of the roof’s slant is 17 feet. The base of the roof is 30 feet.
What is the h, the height of the roof, in
feet?
A. 2 feet
B. 4 feet
C. 6 feet
D. 8 feet
3. Oscar’s doghouse is shaped like a tent. The slanted sides are both 5 feet long, and the bottom of the house is 8 feet across. What is the height of the doghouse, in feet, at its tallest point?
A. 3 feet
B. 4 feet
C. 5 feet
D. 6 feet
4. The diagram below shows the dimensions of Joe’s flower garden. What is the dimension, in feet (ft), represented by x?
A. 5.92 feet
B. 8.62 feet
C. 10.35 feet
D. 11.18 feet
5. Steve needs to paint the trim on his house. His ladder is 10 feet long. If he places the bottom of the ladder 6 feet away from his house, how high above the ground is the top of the ladder?
A. 6 feet
B. 7 feet
C. 8 feet
D. 9 feet
6. The BellSouth Building in Nashville is the tallest building in Tennessee. It is approximately 200 yards tall. If Kim stands 150 yards, which is the best estimate of the distance from her feet to the top of the building?
A. 16 feet
B. 19 feet
C. 250 feet
D. 350 feet
7. Derek’s house is 55 meters from the corner and his friend’s house is 48 meters from the corner as shown in the diagram. If Derek walks straight across his back yard to friend’s house, how far will he walk?
A. 51.5 m
B. 73 m
C. 79 m
D. 103 m
8. How long is the tabletop?
A. 6.3 feet
B. 5.2 feet
C. 4.5 feet
D. 6.8 feet