0112ia. Integrated Algebra Regents Exam ( ) ( ) ( ) 3

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1 Regents Exam # Integrated Algebra Regents Exam 011 Due: Friday, May 1st 011ia Which graph does not represent a function? 1 Which expression is equivalent to 6 x? (8 x)(8 x) *Difference Between ) (8 x)(8 + x) Perfect ) (x 8)(x 8) Squares (x 8)(x + 8) *Don't forget to use your Vertical Line Test! Mr. Smith invested $,00 in a savings account that earns % interest compounded annually. He made no additional deposits or withdrawals. Which expression can be used to determine the number of dollars in this account at the end of years? 00( ) ) ) 00(1 + 0.) 00( ( ) What is expressed in simplest radical form? *What is the largest perfect ) square that divides evenly ) into? 6 18 ) 1

2 Integrated Algebra Regents Exam The graph of y = x + is shown below. Timmy bought a skateboard and two helmets for a total of d dollars. If each helmet cost h dollars, the cost of the skateboard could be represented by dh dh ) ) d h h d *You can use your graphing calculator or make a table of values! Which graph represents y = x +? ) )

3 Integrated Algebra Regents Exam Which graph represents the inequality y >? 7 Two equations were graphed on the set of axes below. *Check the inequality symbol. Solid line or dashed line? *What does the graph of y= look like? *Look for the points of. Which point is a solution of the system of equations shown on the graph? (8,9) ) (,0) ) (0,) (, ) ) 8 Byron is years older than Doug. The product of *Define your their ages is 0. How old is Doug? variables! Let x = age 10 Let = age ) 8 ) 9 The actual dimensions of a rectangle are.6 cm by ) *How can you 6.9 cm. Andy measures the sides as. cm by 6.8 find the relative cm. In calculating the area, what is the relative error of the areas, error, to the nearest thousandth? if you don't know 0.0 the areas? ) 0.0 )

4 Integrated Algebra Regents Exam Which set of data can be classified as quantitative? *"Quantitative" first names of students in a chess club sounds like the ) ages of students in a government class word. ) hair colors of students in a debate club favorite sports of students in a gym class x 16 The expression is equivalent to x x ) x ) 8x 8x 1 Three fair coins are tossed. What is the probability that two heads and one tail appear? 1 8 ) 8 ) 6 17 In the diagram below, circle O is inscribed in square ABCD. The square has an area of 6. *Remember "Cherry Pi is Delicious" and "A " 1 What is the sum of x 7x + 9 and x + 6x? 8x x + ) 8x x + ) 8x 1x + 1 8x 1x For which values of x is the fraction *You can't undefined? divide by! 1 and 6 ) ) What is the area of the circle? 9π ) 6π ) π 6π x + x 6 x + x 6 18 Which point lies on the graph represented by the equation y + x = 8? *Graph or plug in the answer choices! (,7) ) (0, ) (, (7, ) and and 6 and 1 1 What is the slope of the line that passes through the points (, ) and (,? *Last formula on your reference sheet of the regents & in your "Regents Lifesaver" ) )

5 Integrated Algebra Regents Exam Campsite A and campsite B are located directly opposite each other on the shores of Lake Omega, as shown in the diagram below. The two campsites form a right triangle with Sam s position, S. The distance from campsite B to Sam s position is 1,00 yards, and campsite A is 1,700 yards from his position. 19 The equation of the axis of symmetry of the graph of y = x x + 7 is x = ) y = ) x = y = *Graph or look up your axis of symm. formula. 0 The box-and-whisker plot below represents the ages of 1 people. What is the distance from campsite A to campsite B, to the nearest yard? 1,09 ) 1,096 ),10,11 What percentage of these people are age 1 or older? ) ) 7 8 Which set builder notation describes {, 1,0,1,,}? {x x, where x is an integer} ) {x < x, where x is an integer} ) {x < x <, where x is an integer} {x x <, where x is an integer} *What is the first question you should always ask yourself? "Can I?" The roots of the equation x 7x = 0 are 0 and 9 ) 0 and 9 ) 0 and 0 and Which equation is an example of the use of the associative property of addition? x + 7 = 7 + x ) (x + y) = x + y ) (x + y) + = x + (y + ) + (x + y) = (x + y) +

6 Integrated Algebra Regents Exam 011 *Just solve for x using the rules you would use to solve any equation! Given: A = {,,,7,8} ) ) x + t, then x equals r rs t rs + 1 rs t rs t 8 If s = *The symbol that B = {,,8,9} looks like a "U" What is A B? stands for. {} {,8} {,,,7,9} {,,,,7,8,9} ) ) 6 The diagram below shows right triangle LMP. 9 A scatter plot was constructed on the graph below and a line of best fit was drawn. Which ratio represents the tangent of PLM? ) ) What is the equation of this line of best fit? y = x + *What is your slope-intercept form of a line? ) y = x + ) y = x + y = x + 7 Mr. Stanton asked his students to write an algebraic expression on a piece of paper. He chose four students to go to the board and write their expression. Robert wrote: (x + ) 17 Meredith wrote: y z Steven wrote: 9w + = 0 Cynthia wrote: = 1 Which student wrote an algebraic expression? Robert ) Meredith ) Steven Cynthia 0 What is the sum of simplest form? 1 ) 1y ) y+ y + 10 y+ 6 y 10 and expressed in y+ y+

7 Integrated Algebra Regents Exam 011 ****** Show all work on a separate paper or on the BACK of this paper ****** 1 The length and width of the base of a rectangular 6 A turtle and a rabbit are in a race to see who is first to reach a point 100 feet away. The turtle travels at a constant speed of 0 feet per minute for the entire 100 feet. The rabbit travels at a constant speed of 0 feet per minute for the first 0 feet, stops for minutes, and then continues at a constant speed of 0 feet per minute for the last 0 feet. Determine which animal won the race and by how much time. *You're given the prism are. cm and cm. The height of the prism SA formula on is 6.7 cm. Find the exact value of the surface area your reference of the prism, in square centimeters. sheet. Casey purchased a pack of assorted flower seeds and planted them in her garden. When the first flowers bloomed, 11 were white, were red, were blue, and the rest were yellow. Find the empirical probability that a flower that blooms will be yellow. Express in simplest form: *What do you first need to do to the numerator & denominator? 7 The sum of three consecutive odd integers is 18 less than five times the middle number. Find the three integers. [Only an algebraic solution can receive full credit.] *Define Your Variables!!! x 1 x + x + Solve algebraically for x: (x 8 A sandwich consists of one type of bread, one type of meat, and one type of cheese. The possible choices are listed below. Bread: white, rye Meat: ham, turkey, beef Cheese: American, Swiss Draw a tree diagram or list a sample space of all the possible different sandwiches consisting of one type of bread, one type of meat, and one type of cheese. Determine the number of sandwiches that will not include turkey. Determine the number of sandwiches that will include rye bread and Swiss cheese. 1 ( x) On the set of axes below, solve the following *You can use system of equations graphically. State the a graphing calc, coordinates of the solution. but if you do, you y = x 1 must make sure to x + y = copy the table of values for both functions. 9 Shana wants to buy a new bicycle that has a retail price of $9.99. She knows that it will be on sale next week for 0% off the retail price. If the tax rate is 7%, find the total amount, to the nearest cent, that she will save by waiting until next week. 7