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Name:Algebra Keystone Exam Review1)Simplify the expression: A) B) C) D)A right triangle has one leg that is twice the length of the other leg. If the hypotenuse is ,find the length of the longer leg.2)A)8B)16C)4D)323)Which statement has the largest value of x?A) B) C) D) 4)Simplify:( )A)B)C)27D)54
5)What issubtracted from?A)B)C)D)What is the value of ( )6)A)B)C)D)7)What is a factor of the trinomialA) (x - 24)B) (x – 8)C) (x 8)D) (x – 5)8)What is a factor of the trinomialA) (x 10)B) (x – 90)C) (x 90)D) (x – 10)9)Simplify:A)B)C)D)(()()())when?
10)Simplify:A)B)C)()()D) Cannot be Simplified11)A park charges rental fees of 5 per x adult and 3 per y child. The Smith family had afamily reunion there and was charged 134 for their 32 family members that attended. Thesystem of equations shown below represents this situation.Which statement is true?A) More adults attended the reunion than children.B) Six more children attended than adults.C) Nineteen children attended the reunion.D) Three more adults attended than children.12)A)B)C)D)Timmy has collected plain and colored marbles. He has a total of 180 marbles, and there are32 more plain marbles than colored marbles. Knowing that x represent the number of plainmarbles and y represent the number of colored marbles, which of the following systems ofequation represents the number of marbles Timmy has?
13)Which is a graph of the solution of the inequality C)A)B)D)14)Which is a graph of the solution of the inequalityA)C)B)D)15) ?You can work at most 25 hours next week. You need to earn at least 200 to cover yourexpenses. Your cat-walking job pays 8.00 per hour and your job as a pizza delivery personpays 9.50 per hour. Which system of linear inequalities models this problem situation?x y 25A) 8.00 x 9.50 y 200B)16)x y 258.00 x 9.50 y 200C)x y 258.00 x 9.50 y 200D)x y 258.00 x 9.50 y 200A gym offers two options for membership plans. Option A includes an initial fee of 121 andcosts 1 per day. Option B has no initial fee but costs 12 per day. After how many dayswill the total cost of the gym membership plans be equal?A) 11 daysB) 12 daysC) 13 daysD) 14 days
17)The scatterplot below shows the resting heart rates, y, of the people, based on their age x.Which equation best describes the line of best fit?A)B)C)D)y -.43x 40y -.43x 76y -.86x 10y -.86x 8018)The scatterplot below shows the number of active dentists, y, based on the year, x.160Number of Dentists Active in the US155Dentists1501451401351301251200510Year (after 1980)A)B)C)D)y x 5y 2x 160y 2.5x 200y 2.5x 12015
19)5The average monthly rainfall is recorded in inches over the past year. Which statementcorrectly describes the data?783141202331A)B)C)D)The median value is 3.5The interquartile range is 4.5The lower quartile value is 2.The upper quartile value is 1220)The average weekly miles run by a marathon runner are listed below:62456057615355A) The mean is 56.B) The mode is 56.C) The median is 56.D) The range is 7.21)Mike asked 24 people their hair color and recorded the results below.Number of PeopleHair Colors121086420Mike will ask another 16 people their hair color. Based on the information in the bar graph, howmany of the 16 people would you expect to have red hair.A)B)C)D)1234
22)Kevin asked 200 students to select their favorite food and then recorded the results in the bargraph above.Favorite Foods7060Students50403020100PizzaHamburgersIce CreamSteakPopcornSaladFoodKevin will ask another 80 students to select their favorite food. Based on the information in the bargraph, how many more students of the next 80 asked will select hamburgers rather than pizza?A)B)C)D)23)10457A number cube with sides labeled 1-6 is rolled two times, and the sum of the numbers thatend face up is calculated. What is the probability that the sum of the numbers is 4.A)B)C)D)24)A number cube with sides labeled 1-6 is rolled two times, and the sum of the numbers thatend face up is calculated. What is the probability that the sum of the numbers is 7.A)B)C)D)
25)Which of the following is not a 123xyE.xyIf f(x) x2 3x – 5, what is f( –2) ?26)A. –727)xy28)D. –3E. 0Which linear equation best describes the relationship between x and y?-3-7.5A.B.C.D.C. –12B. 50614.520y 2.5x2 – 3x – 3y 2x2 5x 7y –1.5x2 6y 0.5x2 1The table below shows values of y as a function of x.x y1 43 99 2415 3923 59Which linear equation best describes the relationship between x and y?A)B)C)D)
29)x812162024The table below shows values of y as a function of x.y1219263340Which linear equation best describes the relationship between x and y?A)B)C)D)30)John is selling hot dogs at the entrance to the beach. He charges each customer the cost of aplain hot dog plus an additional cost for each toping. This is shown in the equation below.What does the number 3.50 represent in the equation?A)the cost for one toppingB)the cost of a hot dog with one toppingC)the cost of one plain hot dogD)the number of toppings31)Jess owns a restaurant. She charges a set price for an entrée plus an additional charge foreach side item. This is modeled by the equation below.What does “y” represent in the equation?A)The cost for one entréeB)the number of sides a costumer can orderC)the cost for a meal with one sideD)the cost of a meal given a certain number of sides
32)A graph of a linear equation is shown below.Which equation describes the graph?A)33)B)yC)yD)yA graph of a linear equation is shown below.Which equation describes the graph?A)yB)C)D)34)Which value is not in the range of the function graphed to theright?A) 0B) 335) Which graph shows y as a function of x?C. 4D. 5
Answer Key1) D2) B3) D4) A5) D6) B7) B8) D9) C10) B11) A12) C13) D14) B15) A16) A17) B18) D19) B20) A21) B22) B23) C24) B25) B26) A27) C28) D29) C30) C31) D32) A33) D34) B35) B
24) A number cube with sides labeled 1-6 is rolled two times, and the sum of the numbers that end face up is calculated. What is the probability that the sum of the numbers is 7.
