Name April 24, 2008
Alg1 Q4 Test 1 ReviewTest: Wednesday, April 30, 2008
1) x = 39 _2) 2x – 1 _ = 3 _3) 7 _ = 11 _
16156 3x – 3 4 4x + 5 8x + 7
4) 2x - 5 _ = x + 10_5) x - 2 _ = 2x – 4 _
x + 2 x – 4 x + 4 x + 5
6) 174.15 is what percent of 645?7) What is 45% of 275?
8) 2,184 is 78% of what number?
9) On a map of the US, ⅔ of an inch = 182 miles. How many inches represent 1,092 miles?
10) In the 700 student freshman class, 581loved math. What percent of the class did not love math (so, basically, which ones are jerks)?
11) AtEbed’s house partythere were 165 people. 33 people refused to follow Ebed’s funky square dance moves. What percent of the people got down using Ebed’s funky square dance moves?
Simplify each radical:
12) √63713) √25214) √36115) √578
16) √432x1417) √245x24y3018) √486x22y1019) √1,331a150b2
Right Triangle Word Problems:
20) The area of a square is 196 in2. Find the perimeter.
21) The perimeter of a square is 64 cm. Find the area.
22) The area of a square is 81 cm2. Find the length of the square’s diagonal in simplest radical form.
23) Mr. McCormack is throwing the students who didn’t do their homework off the Prep roof into a fire pit 21 feet from the base of the building. If the angle of depression is 78º, how high is the roof?(to the nearest tenth of a foot)
24) Well, wouldn’t you know, it’s Hojas is back and he is sitting on the floor flying his stupid kite. If the kite’s height is 380 feet, and the angle of elevation is 71º, find the length of the kite’s string. (nearest tenth of a foot)
25) A 20-foot ladder is leaning against a building. The base of the ladder is 6 feet away from the base of the building. Find, to the nearest degree, the angle of elevation created by the ladder.
26) An eagle flies 16 miles east and then 8 miles south. How far is the bird from the staring point? State your answer in simplest radical form.
27) The dimensions of a rectangular sandbox are stated in feet as the width being x + 1 and the length being 2x + 1. If the rectangle’s diagonal is 2x + 3, find the perimeter of the garden.
28) A stabilizing cable runs from the top of a phone pole to the ground x yards away from the base of the pole. The height of the telephone pole is 10 less than double the distance from the base of the role to where the cable meets the ground.. The length of the cable is 5 more than the height of the tree house. Find the height of the pole.
29) The area of a rectangle is 72 yds2. The length is represented by x + 14. The width is represented by x + 8. Find the length of the rectangle’s diagonal in simplest radical form.
Last part of the test review (mixed triangles) will be given out in class...
Q4 Test 1 Review Answer Key:
1) 42) 53) .54) x = {0,25}5) x = {-3,2}6) 27%
7) 123.758) 2,8009) 4 inches10) 17% failed11) 80%
12) 7√1313) 6√714) 1915) 17√216) 12x7√3
17) 7x12y15√518) 81x11y5√619) 11a75b√1120) 56 in
21) 256 cm22) 9√223) 98.8 ft.24) 401.9 ft25) 73º
26) 8√5 mi27) 46 feet28) 20 feet29) 6√5 yds