Algebra 1 Test #1



Algebra 1 Test #1Multiple ChoiceIdentify the choice that best completes the statement or answers the question.____1.Eddie rented 7 movies from Vulcan Video each month for n months in a row. Write an expression to show how many movies Eddie rented in all. Then, find the number of movies Eddie rented if he rented movies for 7 months.____2.The table shows, step-by-step, how to simplify the algebraic expression 4(x – 2) + 6x. Fill in the necessary information.StepProcedureJustification1-4(x – 2) + 6xGiven2Distributive3Commutative Property4Associative Property5Combine Like Terms3 .The cost of a dish of yogurt is $1.50 plus $0.25 for each topping. Tia represents this scenario using the expression 1.50 + 0.25t. What does the variable t represent in the expression?a.The number of toppingsc.The number of dishes of yogurtb.The cost of the dish of yogurtd.The cost of each topping ____4.Fill in the missing justifications.ProcedureJustification15x – 2 – 12x = 15x + (-2) + (-12)x Definition of subtraction = 15x + (-12) x + (-2) = [15x + (-12)x ] + (-2) = [ 15 + (-12) ] x + (-2) = 3x + (-2)Simplify =3x - 2Definition of subtraction____5.Give two ways to write the algebraic expression 14s in words.a.14 times s14 groups of sc.s more than 14ss added to 14b.s subtracted from 14s less than 14d.the quotient of 14 and s14 divided by s____6.The first row in a theater has 16 seats, the second row has 22 seats, and the third row has 28 seats. If this pattern continues, how many seats will the sixth row have?a.46c.43b.52d.49____7.There are 8 sixth-grade classes and 195 sixth-grade students at Edison Middle School. The equation 8s = 195 can be used to determine s, the mean number of students per class. Based on the solution s = 24.375, which of the following statements could be true?There are 5 sixth-grade classes with 24 students each and 3 sixth-grade classes with 25 students.There are 7 sixth-grade classes with 24 students each and 1 sixth-grade class with 25 students.There are 8 sixth-grade classes with 25 students each.There are 8 sixth-grade classes with 24 students each.____8.What is the value of x if (x, 2) is a solution to the equation 3x + y = 16?a.-5c.10b.-10d.5____9.Translate the following statement into an algebraic expression: 6 less than the product of 3 and y.Numeric Response10.An architect charges $1800 for a first draft of a three-bedroom house. If the work takes longer than 8 hours, the architect charges $105 for each additional hour. What would be the total cost for a first draft that took 14 hours to complete?11.Evaluate the expression g – m for g = 3 and m = –10.12.Simplify 33 + 25÷5 - (4 - 6)13.Solve -16 = 4y for y. 14.Evaluate the expression xyz for x = –5 and y = –2 z = -1.15.Simplify the expression .16. Solve x3=12 for x.17.Simplify 7 [ 3 – (2)5 ] 18. Evaluate the expression a – n for a = 3 and n = –1.19.Simplify by combining like terms. - 4x3 + 8y + 3x3 -6y + 2z20.Simplify by combining like terms. 9x2 + 3x + 4y3 - 7x2 -6x + 321.Evaluate 2 + x2 ? 5 for x = 3.22.The temperature on the ground during a plane’s takeoff was 4?F. At 38,000 feet in the air, the temperature outside the plane was –38?F. Translate the scenario into a mathematical expression, and find the difference between the temperature at takeoff and the temperature at 38,000 feet. 23.Evaluate 3- x2 – 3 ·5 for x = 7.____24.Salvador’s class has collected 88 cans in a food drive. They plan to sort the cans into x bags, with an equal number of cans in each bag. Write an expression to show how many cans there will be in each bag.Translate the verbal phrase into an expression.25.a) 6 less than twice a number, k b) 7 more than three times a number, h26.a) Seven goes into a number, p a) The product of 4 and a number, t27.The table shows the number of customers who bought new cars at Pflugerville Honda over a period of four years.YearCars Sold200485200510020061152007130If this pattern continues, how many students would you expect to be enrolled in 2013?28.Simplify the expression 9(x - 9) + x.29.Simplify the expression -5 (9x - 3) + 1/3 (12x – 18). 30.Solve x – 2 = 21 for x.Algebra 1 Test #1Answer SectionQuestionAnswerStandards1DA.3A2AA.4B3AA.3A4DA.4B5CA.3A6AA.3B7AA.7C8DA.7B R9BA.3A102430A.3B1116A.3A12630A.4B13-4A.7B R1418A.3A1518A.4B16162A.7B R172A.4B1823A.3A19-x3 + 6x2 + 14zA.4B2010y3 + 6y2 + 2xA.4B2197A.3A2260A.3B23-23A.3A24100pA.3B252x – 8A.3A2612xA.3A27420A.3B2814x + 96A.4B29-21x – 24A.4B3012A.7B R ................
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