2 Algebra I SAMPLEEvaluate:Geometry SAMPLEFind the measure of the supplement of an interior angle of a regular pentagon.
3 Algebra I QUESTION 1Simplify:Geometry QUESTION 1A six-pointed regular star consists of two interlocking equilateral triangles. What is the ratio of the area of the entire star to the area of one of the equilateral triangles?
4 Algebra I QUESTION 2Solve for x:Geometry QUESTION 2Find the perimeter of a square whose diagonals each have a measure of 36.
5 Algebra I QUESTION 3If the sum of 2 numbers is 20 and their product is 96 find the sum of their reciprocals.Geometry QUESTION 3Assuming that segments that appear to betangent are tangent, find x.x220-x
6 Algebra I QUESTION 4 Geometry QUESTION 4 If is written in decimal form, what is the 2005th digit after the decimal?Geometry QUESTION 4If ABCD and PQRS are parallelograms, find m APS.SSS42°148°SS13°SSS
7 If (a,b) is the solution to the system Algebra I QUESTION 5If (a,b) is the solution to the systemthen find ab.Geometry QUESTION 5IffindACDBO
8 Algebra I QUESTION 6Find the units digit of:Geometry QUESTION 6Find the area of the overlappingregion of the congruent squaresif E is the intersectionof the diagonals ofthe square ABCD.AB8EDC
9 Algebra I QUESTION 7Simplify:Geometry QUESTION 7Suppose a semicircular tunnel has a diameter of 40 ft. A sign stating “Entering Tunnel – Do Not Pass” must be hung 16 ft above the roadway inside the entrance of the tunnel. Find the length of the horizontal crossbeam that will support the bottom of the sign.
10 Find the area of an isosceles triangle with side lengths 5, 5 and 8. Algebra I QUESTION 8Find the area of an isosceles triangle with side lengths 5, 5 and 8.Geometry QUESTION 8A square floor is tiled with congruent square tiles. The tiles on the two diagonals of the floor are black, the rest of the tiles are white. If 101 black tiles are used, then what is the total number of tiles?
11 Algebra I QUESTION 9Ryan can build a shed in ten days, while Adam can build one in 15 days. How many days will it take them to build 6 sheds if they work together?Geometry QUESTION 9In a plane, given a circle and a spiral with the same center, how many times does the circle cross the spiral?
12 Find the area of the region enclosed by y=7, y=3, x=2, and y=-x+12. Algebra I QUESTION 10Find the area of the region enclosed by y=7, y=3, x=2, and y=-x+12.Geometry QUESTION 10Assuming segments that appear to be tangent are tangent, find the mABC.B236°AC
13 Algebra I QUESTION 11Simplify:Geometry QUESTION 11Four times the measure of the complement of an angle is 12 more than twice the difference of the measures of its supplement and its complement. Find the sum of the three angles.
14 Algebra I QUESTION 12 Geometry QUESTION 12 If a varies directly with b and a=3 when b=5, find a when b is 25.Geometry QUESTION 12∆ABC is circumscribed about circle O. AB=16, AC=12, BC=14. Find AE.
15 Algebra I QUESTION 13During a baseball season, Bo had 500 hits. Among his hits were 13 homeruns, 16 triples, and 21 doubles. The rest of his hits were singles. What percent of his hits were singles?Geometry QUESTION 13Given: Right ∆DEF, DF=8, EG=12. Find DG.
16 Algebra I QUESTION 14One angle in a triangle is 85°. The second angle is 4 times the third. Find the measure of the second angle.Geometry QUESTION 14Each line segment of this figure is 10 cm long, and each interior angle is either 45, 135, 90, or 270. What is its area (in square centimeters)?
17 Algebra I QUESTION 15The digit sum of any number is the sum of its digits. For example, the digit sum of 247 is 13. How many numbers between 10 and 200 have a digit sum of 7?Geometry QUESTION 15Three views of the same block are shown below. What letter is on the side parallel to the side with the letter A?
18 Algebra I QUESTION 16Simplify:Geometry QUESTION 16If the side of one square is the diagonal of a second square, what is the ratio of the area of the first square to the second?
19 Algebra I QUESTION 17Find the GCF ofandGeometry QUESTION 17Given trapezoid ABCD with AB = CD =13, AD = 22, and BC = 12, find the area of ABCD.
20 Algebra I QUESTION 18This school year, Grissom’s enrollment is In May, 20% of those students will graduate. Assuming no one transfers or drops out, how many Freshmen must register to have a 5% increase in enrollment for the next school year?Geometry QUESTION 18The centers of two circles of radii 3 and 8 are 13 units apart. Find the length of a common external tangent segment.
22 If find an expression for Algebra I QUESTION 20If find an expression forin terms of x and y.Geometry QUESTION 20A square is divided and shaded as shown.If the pattern continued forever,what fraction ofthe original squarewould be shaded?
23 Algebra I Extra QUESTION 1 Geometry Extra QUESTION 1 Find the smallest root of the equationGeometry Extra QUESTION 1The degree measure of one angle is less than 4 times its complement Find the measure of the smaller of the two angles.
24 Algebra I Extra QUESTION 2 Geometry Extra QUESTION 2 A collection of dimes and quarters has a total value of $5.00 and contains 32 coins. How many quarters are in this collection?Geometry Extra QUESTION 2The measures of the angles in a triangle are :x+5, 2x-15, and 6x+10.Name the triangle according to its sides.