0613ia. Integrated Algebra Regents Exam Which expression represents 5 less than twice x? 1) 2) 3) 4)
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1 0613ia 1 Which expression represents 5 less than twice x? 2 Gabriella has 20 quarters, 15 dimes, 7 nickels, and 8 pennies in a jar. After taking 6 quarters out of the jar, what will be the probability of Gabriella randomly selecting a quarter from the coins left in the jar? 4 If the point lies on the line represented by the equation, the value of k is A soda container holds gallons of soda. How many ounces of soda does this container hold? Based on the line of best fit drawn below, which value could be expected for the data in June 2015? 6 The roots of a quadratic equation can be found using the graph below What are the roots of this equation?, only and and 4, and 4 1
2 7 If the area of a rectangle is represented by and its length is represented by, which expression represents the width of the rectangle? 12 If the expression is equivalent to, what is the value of a? Which table shows bivariate data? 8 Which set of data describes a situation that could be classified as qualitative? the colors of the birds at the city zoo the shoe size of the zookeepers at the city zoo the heights of the giraffes at the city zoo the weights of the monkeys at the city zoo 9 The value of the expression is Which interval notation represents? 11 The solutions of are and 2 and 14 and 4 and 7 2
3 14 The box-and-whisker plot below represents the results of tests scores in a math class. 18 Which type of function is graphed below? What do the scores 65, 85, and 100 represent?, median,,, maximum median,, maximum minimum, median, maximum 15 The expression is undefined when the value of x is, only and 3 3, only and 2 16 If, which expression represents x? linear quadratic exponential absolute value 19 What is the slope of the line represented by the equation? 17 What is the solution of the equation? 1 and 2 and and 8 and 4 3
4 20 The diagram below shows the graph of which inequality? 23 Which expression represents the number of hours in w weeks and d days? 24 Given: What is? 21 Carol plans to sell twice as many magazine subscriptions as Jennifer. If Carol and Jennifer need to sell at least 90 subscriptions in all, which inequality could be used to determine how many subscriptions, x, Jennifer needs to sell? 25 Which equation could be used to find the measure of angle D in the right triangle shown in the diagram below? 22 When is subtracted from, the result is 4
5 26 If the roots of a quadratic equation are and 3, the equation can be written as 31 Solve the inequality algebraically for x. 32 Oatmeal is packaged in a cylindrical container, as shown in the diagram below. 27 Which equation represents a line that is parallel to the y-axis and passes through the point? 28 There are 18 students in a class. Each day, the teacher randomly selects three students to assist in a game: a leader, a recorder, and a timekeeper. In how many possible ways can the jobs be assigned? In triangle RST, angle R is a right angle. If and, what is the length of? 10 2 The diameter of the container is 13 centimeters and its height is 24 centimeters. Determine, in terms of, the volume of the cylinder, in cubic centimeters. 33 The distance from Earth to Mars is 136,000,000 miles. A spaceship travels at 31,000 miles per hour. Determine, to the nearest day, how long it will take the spaceship to reach Mars. 30 How many solutions are there for the following system of equations?
6 34 The menu for the high school cafeteria is shown below. 38 A jar contains five red marbles and three green marbles. A marble is drawn at random and not replaced. A second marble is then drawn from the jar. Find the probability that the first marble is red and the second marble is green. Find the probability that both marbles are red. Find the probability that both marbles are the same color. Determine the number of possible meals consisting of a main course, a vegetable, a dessert, and a beverage that can be selected from the menu. Determine how many of these meals will include chicken tenders. If a student chooses pizza, corn or carrots, a dessert, and a beverage from the menu, determine the number of possible meals that can be selected. 39 In the diagram below of rectangle AFEB and a semicircle with diameter, inches,, and inches. Find the area of the shaded region, to the nearest hundredth of a square inch. 35 A man standing on level ground is 1000 feet away from the base of a 350-foot-tall building. Find, to the nearest degree, the measure of the angle of elevation to the top of the building from the point on the ground where the man is standing. 36 Express in simplest radical form. 37 Solve algebraically: [Only an algebraic solution can receive full credit.] 6
7 ID: A 0613ia Answer Section 1 ANS: 1 PTS: 2 REF: ia STA: A.A.1 TOP: Expressions 2 ANS: 1 PTS: 2 REF: ia STA: A.S.18 TOP: Conditional Probability 3 ANS: 3 PTS: 2 REF: ia STA: A.S.17 TOP: Scatter Plots 4 ANS: 3 PTS: 2 REF: ia STA: A.A.39 TOP: Identifying Points on a Line 5 ANS: 4 PTS: 2 REF: ia STA: A.M.2 TOP: Conversions KEY: dimensional analysis 6 ANS: 3 PTS: 2 REF: ia STA: A.G.8 TOP: Solving Quadratics by Graphing 7 ANS: 1 PTS: 2 REF: a STA: A.A.16 TOP: Rational Expressions KEY: a > 0 8 ANS: 1 The other situations are quantitative. PTS: 2 REF: ia STA: A.S.1 TOP: Analysis of Data 9 ANS: 3 PTS: 2 REF: ia STA: A.N.6 TOP: Evaluating Expressions 10 ANS: 1 PTS: 2 REF: ia STA: A.A.29 TOP: Set Theory 1
8 ID: A 11 ANS: 2 PTS: 2 REF: ia STA: A.A.27 TOP: Solving Quadratics by Factoring 12 ANS: 2 PTS: 2 REF: ia STA: A.A.12 TOP: Powers of Powers 13 ANS: 3 Due to lack of specificity in the wording, this 13th question was removed from the June, 2013 Regents Exam. PTS: 2 REF: ia STA: A.S.2 TOP: Analysis of Data 14 ANS: 2 PTS: 2 REF: ia STA: A.S.6 TOP: Box-and-Whisker Plots 15 ANS: 1 PTS: 2 REF: ia STA: A.A.15 TOP: Undefined Rationals 16 ANS: 1 PTS: 2 REF: ia STA: A.A.23 TOP: Transforming Formulas 17 ANS: 2 PTS: 2 REF: ia STA: A.A.26 TOP: Solving Rationals 18 ANS: 3 PTS: 2 REF: ia STA: A.G.4 TOP: Families of Functions 19 ANS: 4 PTS: 2 REF: ia STA: A.A.37 TOP: Slope 20 ANS: 4 PTS: 2 REF: ia STA: A.G.6 TOP: Linear Inequalities 21 ANS: 4 PTS: 2 REF: ia STA: A.A.5 TOP: Modeling Inequalities 2
9 ID: A 22 ANS: 1 PTS: 2 REF: ia STA: A.A.13 TOP: Addition and Subtraction of Polynomials KEY: subtraction 23 ANS: 3 PTS: 2 REF: ia STA: A.A.1 TOP: Expressions 24 ANS: 3 PTS: 2 REF: ia STA: A.A.31 TOP: Set Theory 25 ANS: 4 PTS: 2 REF: ia STA: A.A.43 TOP: Using Trigonometry to Find an Angle 26 ANS: 2 PTS: 2 REF: ia STA: A.A.28 TOP: Roots of Quadratics 27 ANS: 2 PTS: 2 REF: ia STA: A.A.36 TOP: Parallel and Perpendicular Lines 28 ANS: 3 PTS: 2 REF: ia STA: A.N.8 TOP: Permutations 29 ANS: 3 PTS: 2 REF: ia STA: A.A.45 TOP: Pythagorean Theorem 30 ANS: 1 PTS: 2 REF: ia STA: A.G.9 TOP: Quadratic-Linear Systems 31 ANS: PTS: 2 REF: ia STA: A.A.24 TOP: Solving Inequalities 32 ANS: PTS: 2 REF: ia STA: A.G.2 TOP: Volume 3
10 ID: A 33 ANS:. PTS: 2 REF: ia STA: A.M.1 TOP: Speed 34 ANS:.. PTS: 4 REF: ia STA: A.N.7 TOP: Multiplication Counting Principle 35 ANS: PTS: 3 REF: ia STA: A.A.43 TOP: Using Trigonometry to Find an Angle 36 ANS: PTS: 3 REF: ia STA: A.N.3 TOP: Operations with Radicals 37 ANS: PTS: 4 REF: ia STA: A.A.26 TOP: Solving Rationals 38 ANS:.. PTS: 4 REF: ia STA: A.S.23 TOP: Theoretical Probability KEY: dependent events 39 ANS: Area of rectangle minus area of semicircle: PTS: 4 REF: ia STA: A.G.1 TOP: Compositions of Polygons and Circles KEY: area 4
1 Which expression represents 5 less than twice x? 1) 2) 3) 4)
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