Name _____________________________________________ Date ____________ Color ___________
Algebra I
Q4 Exam #1 REVIEW
Ms. Hahl
Directions: Complete the following review questions on a separate sheet of paper. This review
completed review sheet will be checked in class on Tuesday April 7th (the day of Exam #1).
Part 1: Multiple Choice Questions
Directions: Choose the correct answer. Write the selected letter on the line to the left of the number and
circle your selected choice.(3pts each)
Part 2: Factoring
Directions: Factor and check the following problems. (5pts each)
1)
3)
5)
7)
2)
4)
6)
8)
Part 3: Pythagorean Theorem
Directions: Determine whether the following side measures form right triangles. (5pts each)
9)
10)
11)
Directions: Use the Pythagorean Theorem to solve for the missing side.(Round to the nearest
hundredth) (6pts each)
12)
14)
13)
15)
Directions: Solve the following word problems. SHOW ALL WORK.
16) A painter has placed the base of a ladder 27 feet from a wall. If the top of the ladder rests 36 feet
up on the wall, how long is the ladder?
17) In a triangle, the hypotenuse is four less than five times the shortest leg and the longest leg is four
more than four times the shortest leg. Find all the sides of the triangle.
18) Firefighters have a 17 foot extension ladder. In order to reach 15 feet up a building, how far away
from the building should the foot of the ladder be placed?
19) Computer monitors are usually measured along the diagonal of the screen. A 19-inch monitor has
a diagonal that measures 19 inches. If the height of the screen is 11.5 inches, how wide is the screen?
Part 4: Right Triangle Trigonometry
Directions: Use your knowledge of right triangle trigonometry to find x (Round all angles to the nearest
degree). (8pts each)
20)
21)
27
22)
34
15
23)
39
24) A girl is sitting on the floor flying a kite. She has 260 feet of string. If the kite is 195 feet high, find
the angle of elevation.
25) An apple tree casts a 23-foot shadow. If the angle of depression is 36°, how tall is the tree?