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Objective 2A: Linear Functions, Equations, InequalitiesDomain:Slope-intercept Form:Point-Slope Form:Range: Standard Form:Parallel Lines:Continuous:Direct Variation:Perpendicular Lines:Discrete:1484630529780500left525970500Which function represents the same linear relationship? 185420635x-7.5-3.5-12y120-7.5-16.500x-7.5-3.5-12y120-7.5-16.5h(x)= -3x - 10.5 c. h(x)= 3x - 10.5h(x)= -x - 3.5 d. h(x)= x - 3.5 Which of the following is equivalent to 3x – 4y = 6? y = -67x c. y = 43x + 2y = -34x d. y = 34x - 32 In an electrical circuit, the voltage across a resistor is directly proportional to the current running through it. If a current of 12 amps produces 480 volts, how many volts would a current of 1.5 amps produce across an identical resistor? The total cost to buy new uniforms for a team is represented by c=34.95u + 6.25. If there are at least 8 players but no more than 12 on the team, what is the domain for this situation? a. 0 < u < 12 c. (8, 9, 10, 11, 12)b. 0 < c < 425.65 d. (285.85, 320.80, …)Which equation in standard form passes through the point (-4,2) and has a slope of 92 ? f. 9x – 2y = 36g. 9x – 2y = 26h. 9x – 2y = -40j. 9x – 2y = -10 19812011938000Graph -3x + 5y = -15-51625549593500Which graph has a domain of all real numbers greater than or equal to -7 and less than 2? 946150-127000An organization has a monthly budget of x dollars. Every month $2,070 is spent on salaries. One-fourth of the remaining balance is spent on monthly activities. Which function can be used to represent this situation? y= 2,070 + x4 y= x+2,0704y= 2,070 - x4 y= x- 2,070425590532512000What is the range for the graph given?Objective 3A: Linear Functions, Equations, InequalitiesSlope:Graph System of Equations:X-Intercept:Graph System of Inequalities:Y-Intercept:Linear Parent Function:Linear Transformations: 5161280493204501009651310007000-50482530714950037592012446000What is the y-intercept of the graph? 912495267335xy-212033-10.57-28.50xy-212033-10.57-28.5What is the rate of change for the function? a. 29 b. -92c. 92 d. -29What is the slope of the line that passes through (26, 7) and (-39, 12)? f. -113 g. 513h. -13 j. 135Which graph can be used to find the solution to the system given? 2x + y = -4 -3y = 2x + 12-563880212090009505953175000The parent linear function is graphed. A new line is graphed by changing the slope to 23 and the y-intercept to 4. Which statement is true? a. The graph of the new line is steeper and has been translated down. b. The graph of the new line is less steep and has been translated up. c. The graph of the new line is steeper and has been translated up.d. The graph of the new line is less steep and has been translated down. Which graph represents the solution set to y ≥ -72x – 2 ? 45720285750a. 539751695450b. Objective 4A: Linear Functions, Equations, InequalitiesScatterplots:Correlation Coefficient: Line of best fit:546735096266000113157099441000The scatterplot shows the monthly high temperatures for Austin, Texas over a 12-month period. Which function best models the data from Month 1 to Month 9? a. y = =1.6x + 111b. y = 3.5x + 85c. y = 2.5x + 90d. y = -3.3x + 130The scatterplot shows the number of visitors to a beach each day and the high temperature for each day. Based on the graph, which statement appears to be true? a. There is a nonlinear correlation between the high temp and the number of visitors to the beach.b. When the high temp is above100°F, fewer than 150 visitors areexpected at the beach. c. There is no correlation between the high temp and the number of visitors.d. When the high temp is between 75°F and 90°F, more than 120 visitors are expected at the beach. Objective 5A: Linear Functions, Equations, InequalitiesSolving Linear Equations:Solving Linear Inequalities:Solving System of Equations:What value of x makes the equation true? -5x – (-7 – 4x) = -2(3x – 4) a. x = 3 b. x = 5c. x = 13 d. x = 15Which inequality describes all the solution to 5(3 – x) < -2x + 6? a. x < -9 b. x > 3c. x < -3 d. x > 7A bag contains 18 coins consisting of quarters and dimes. The total value is $2.85. How many of each coin are there? A manager purchased a total of 21 coffee mugs and key chains. Each mug cost $8.50 and each keychain cost $2.75. If the manager spent a total of $132.50, how many coffee mugs did the manager purchase? What is the solution to the system? 10x – y = 53 y = -13x + 92 2a. (6, 7) b. (2, 33)c. (7, 6) d. (33, 2)What is the solution to 0.3(12x – 16) = 0.4(12 – 3x)? f. -2 g. 4h. 2 j. -4Objective 6A, 7A: Quadratic Functions and EquationsQuadratic Function:Vertex Form:Vertex:Axis of Symmetry:Zeros:Parent Function:Transformations:Which statement about k(x) = -x2 – 2x + 15 is true? f. The zeros are -3 and 5, because k(x) = -(x + 3)(x – 5)g. The zeros are -5 and 3, because k(x) = -(x + 5)(x – 3)h. The zeros are -5 and -3, because k(x) = -(x + 5)(x + 3)j. The zeros are 3 and 5, because k(x) = -(x - 3)(x – 5)25654051371500The first 5 figures in a pattern are shown. If the pattern continues, which expression can be used to find the number of circles to make up Figure n? f. n2 + 2n g. n2 + 2 h. 2n2 + 1 j. 2n2 + n The graph f(x) = x2 and g(x) = 7x2 are graphed. Which statement about the relationship between graph f and the graph g is true?a. The graph of g is narrower than the graph of f. b. The graph of g is wider than the graph of f. c. The graph of g is 7 units below the graph of f. d. The graph of g is 7 units above the graph of f.164592028765500The graph of function g is shown. The coordinates of the x-intercepts, y-intercept, and vertex are integers. What is the maximum value of g?1388745206692500-287655206692500139065048006000-33528049339500Function p is in the form y = ax2 + c. If the values of a and c are both less than 0, which graph could represent p? Quadratic functions q and w are graphed on the same grid. The vertex of graph q is 18 units below the vertex of graph w. Which pair of functions could have been used to create the graphs of q and w? a. q(x) = 18x2 ; w(x) = x2 b. q(x) = x2 + 18 ; w(x) = x2c. q(x) = -18x2 ; w(x) = x2 d. q(x) = x2 – 18 ; w(x) = x2-40006120015Points (3,2) and (7,2) are on the graphs of both quadratic functions f and g. The graph of f opens downward, and the graph of g opens upward. Which statements are true? I. The graphs of f and g have the same axis of symmetryII. The graphs of f and g have the same x-interceptsIII. The graph of f has a max point, and the graph of g has a min pointIV. The graph of f is the result of a reflection of the graph of g across the x-axisa. I only b. II onlyc. II and IV d. I and IIIObjective 8A: Quadratic Functions and EquationsSolving Quadratic Equations:The sum of the first n consecutive even numbers can be found using S = n2 + n, where n ≥ 2. What is the value of n when the sum is 156? a. 6 b. 39c. 26 d. 12What are the solutions to 2(x – 7)2 = 32? a. x = 7 ± 32 b. x = ±65c. x = 3, 11 d. x = -1, 15What are the solutions to 3x2 + 15x = 18? a. x = -3, -2 b. x = -6, 1c. x = 6, 13 d. x = 0, 1 A graph of f(x) = 6x2 – 11x + 3 is shown. What are the zeros of f? a. 3 b. 2 and 9c. 1112 d. 13 and 32-163830787400The graph of the quadratic function r is shown. What is the solution to r(x) = 0? a. -50 b. 4-450851511300c. 14 d. -60Which statement about f(x) = 2x2 – 3x – 5 is true? a. The zeros are -52 and -1, because f(x) = (x + 1)(2x + 5)b. The zeros are -52 and 1, because f(x) = (x – 1)(2x + 5)c. The zeros are 52 and -1, because f(x) = (x + 1)(2x - 5)d. The zeros are 52 and 1, because f(x) = (x - 1)(2x - 5)Objective 9A: Exponential Functions and EquationsExponential Functions:Growth:Decay:171452679700What is the domain and range of the graph shown? 13557253467100Based on the table, which function represents the function? a. q(x) = (0.25)x b. q(x) = 256(0.25)x c. q(x) = 0.0625(4)x d. q(x) = 0.5(4)x Given the exponential function below, which measurement is closest to the number of km2 of land that will be occupied by cane toads 40 years after this animal was first introduced?a. 550,000 km2 b. 1,250,000 km2 c. 600,000 km2 d. 800,000 km2 13290552527300-4572001504950015436854438650The number of stores opened by a coffee company can be modeled by the graph given, where x is the number of years since 1992. Which statement does not appear to be true? a. The company had opened 400 stores by the end of 1992. b. The company opened 100 stores in one year. c. Every year the number of stores the company opened increased by 25%.d. Since 1992 the company has opened 250 stores each year. -104775933451619250399415-217805410210The starting annual salary for an office worker at a company is $29,000. If the company awards an annual increase of 6.2%, which graph models this situation after the office worker receives x annual increases? 530542511430345757511430Objective 10A: Number and Algebraic MethodsAdd/Subtract Polynomials:Multiply Polynomials:Factor Polynomials:Which expression is equivalent to 2x2 + 7x + 4? a. (2x – 1)(x + 4) b. (2x + 1)(x – 4) c. (2x + 1)(x + 4) d. None of theseWhich expression is a factor of 36x2 – 49? a. 18x – 7 b. 6x – 49c. 18x – 49 d. 6x – 7 Which expression is a factor of x2 – 5x – 6? a. x – 6 b. x – 2 c. x – 3 d. x – 1 right10604542195751638305x + 45x + 43457575425450The diagram shows the floor plan of a facility. All dimensions are given in feet. Which expression represents the area of the facility in square feet? 55816501422404x - 44x - 4f. 20x2 + 36x – 16 g. 20x2 – 4x – 16 h. 16x2 – 16 j. 9x2 – 16 Objective 11A: Number and Algebraic MethodsExponent Rules:Which expression is equivalent to 2x2 + (4x – 6x2) + 9 – (6x + 3)?a. -4x2 – 2x + 12 b. -10x + 6c. -4x2 – 2x + 6 d. 18x + 12Simplify: 14a4b6c-10 8a-2b3c-5 a. 7a2b3 b. 6a2b9 4c15 c15 c. 7a6b3 d. 7b2c2 4c5 4a2Which expression is equivalent to 9y2 - 23(3y – 7) + 5y2 ? a. 9y2 - 53y – 3 b. 9y2 – 2y – 3c. 14y2 – 2y + 143 d. 14y2 - 53y - 143A circle has a radius of 6x9y5 cm. The area of a circle can be found using A=πr2. What is the area of the circle? a. 12πx18y10 b. 36πx18y10c. 36πx11y7 d. 12πx11y7 A rectangular prism has a width of x inches, a length of x2y inches, and a height of y2 inches. What is the volume of the prism? a. 4x2y2 b. 4x3y3 c. x2y2 d. x3y3 If possible, use the difference of squares to rewrite the binomial 25 – 49y2 . a. (5 + 7y)(5 – 7y) b. (5 + 7y2)(5 – 7y2)c. (5y + 7)(5y – 7) d. Not PossibleObjective A(12): Number and Algebraic MethodsFunctions: Functional Notation:Geometric Sequences:Arithmetic Sequences:Formulas:right4773930C. {(-4, -6), (-2, -3), (0, -4), (1, -3.75)}00C. {(-4, -6), (-2, -3), (0, -4), (1, -3.75)}Given f(x) = 6(1 – x), what is the value of f(-8)? An organization has a monthly budget of x dollars. Every month $2070 is spent on salaries. One-fourth of the remaining budget is spent on monthly activities. Which function can be used to find the amount in dollars spent on monthly activities? a. f(x) = 2070 + x4 b. f(x) = 2070 - x4c. f(x) = x + 2070 d. f(x) = x – 2070 4 4If f(x) = (x – 3)2 + 4 and g(x) = x3 + 2, which statement is true? a. f(-2) = g(-3) b. f(0) = g(-1)c. f(8) = g(3) d. f(2) = g(1)A city employee paints curbs in parking lots and replaces signs. If the function given represents c, the number of parking lot curbs the employee paints when he replaces r road signs in a 40-hour week. If the employee painted 20 curbs in one week, how many road signs did he replace? C = 40 – 2.5r 0.5a. 20 b. 30c. 0 d. 12 1323975342900xy-3-414-341-400xy-3-414-341-477470353695xy-5-53-2-55-3-200xy-5-53-2-55-3-2Which table represents y as a function of x? a. b. 1304925149860xy2-12-22-32-400xy2-12-22-32-476200151130xy6-6-668-8-8800xy6-6-668-8-88c. d. 3200407156450The mapping represents y as a quadratic function of x. Which representation shows the same relationship between x and y? -9779021653506029325926465D. y = 0.25x2 – 4 0D. y = 0.25x2 – 4 448627533591500 ................
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