MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.

Transcription

1 MAC 110 Module Test Name MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question. Solve the problem using our calculator. 1) The paired data below consist of the costs of advertising (in thousands of dollars) and the number of products sold (in thousands). Use linear regression to find a linear function that predicts the number of products sold as a function of the cost of advertising. Cost Number A) = B) = C) = D) = Objective: (.1) Tech: Solve Apps: Find Regression Line for Data Solve the problem. ) The cost for labor associated with fiing a washing machine is computed as follows: There is a fied charge of $30 for the repairman to come to the house, to which a charge of $ per hour is added. Find an equation that can be used to determine the labor cost, C(), of a repair that takes hours. A) C() = + 30 B) C() = 30 + C) C() = ( 30 + ) D) C() = 30 - Objective: (.1) Solve Apps: Modeling with Linear Functions Graph the linear function. 3) f() = A) B)

2 C) D) Objective: (.1) Graph Linear Function b Hand Use the given graph to find the -intercept and the zero of the function. ) A) (0, 0); 0 B) (1, 0); 1 C) (-, 1); - D) (-, 0); - Objective: (.1) Find Zero of Linear Function From Graph Write a formula for a linear function f whose graph satisfies the conditions. 5) Slope: 3 ; -intercept: A) f() = 3 - B) f() = C) f() = D) f() = 3 + Objective: (.1) Write Formula for Linear Function from Given Info Solve the problem. ) To convert a temperature from degrees Celsius to degrees Fahrenheit, ou multipl the temperature in degrees Celsius b 1.8 and then add 3 to the result. Epress F as a linear function of c. A) F(c) = c - 3 B) F(c) = 33.8c C) F(c) = 1.8c + 3 D) F(c) = c 1.8 Answer: C Objective: (.1) Solve Apps: Modeling with Linear Functions

3 The table lists data that is eactl linear. (i) Find the slope-intercept form of the line that passes through these data points. (ii) Predict when = -1.5 and.. ) A) = ; = , = 10. B) = ; =.05, = 5.8 C) = ; = -9.5, = 1.1 D) = ; = -1.85, = 1.9 Objective: (.) Perform Linear Interpolation or Etrapolation Write an equation of the line through the given point with the given slope. Write the equation in slope-intercept form. 8) (-9, 0); m = A) = -9 + B) = + 5 C) = 9 + D) = Objective: (.) Write Slope-Intercept Equation of Line Given Point and Slope Determine smbolicall the - and -intercepts on the graph of the equation. 9) = + 9 A) -intercept is 0; -intercept is 0 B) -intercept is 1; -intercept is 9 C) -intercept is 9; -intercept is -9 D) -intercept is -9; -intercept is 9 Objective: (.) Find - and -Intercepts Given Equation Find an equation of the line satisfing the following conditions. If possible, write the equation in slope-intercept form. 10) Through (-1, 9), parallel to -3 - = -1 A) = B) = 3-33 C) = D) = Objective: (.) Find Slope-Intercept Equation of Line Given Conditions The table lists data that is eactl linear. (i) Find the slope-intercept form of the line that passes through these data points. (ii) Predict when = -1.5 and.. 11) A) = ; = 9.3, = 10.5 B) = ; = -9.3, = C) = ; = -9.9, = -8.8 D) = ; = 9.9, = 8.8 Objective: (.) Perform Linear Interpolation or Etrapolation Determine smbolicall the - and -intercepts on the graph of the equation. 1) = -( - 3) + 3 A) -intercept is 18 ; -intercept is 18 B) -intercept is ; -intercept is C) -intercept is - ; -intercept is - D) -intercept is - 18 ; -intercept is Objective: (.) Find - and -Intercepts Given Equation 3

4 Identif the equation as either linear or nonlinear. 13) = 0. A) Nonlinear B) Linear Objective: (.3) Determine Whether Equation Linear/Non-Linear Solve the equation smbolicall. 1) = - 5 A) All real numbers B) - 13 Objective: (.3) Solve Linear Equation Smbolicall C) 1 D) No solution Solve the equation. Round our answer to the nearest tenth. 15) -.9q = q A) 5 B) 3.3 C).9 D) -10 Objective: (.3) Tech: Solve Linear Equation Numericall Classif the equation as a contradiction, an identit, or a conditional equation. 1) 10m + 10 = (3m + 1) A) Identit B) Contradiction C) Conditional Answer: C Objective: (.3) Classif as Contradiction/Identit/Conditional Use the intermediate value propert to determine whether f() = 0 for some value of on the specified interval. 1) f() = -, 3 A) No B) Yes Objective: (.3) Use Intermediate Value Propert Identif the equation as either linear or nonlinear. 18) = 1 A) Nonlinear B) Linear Objective: (.3) Determine Whether Equation Linear/Non-Linear Solve the equation smbolicall. 19) = - A) - 11 B) 11 C) - 1 D) Objective: (.3) Solve Linear Equation Smbolicall

5 Solve the problem. 0) A square plwood platform has a perimeter which is 10 times the length of a side, decreased b. Find the length of a side. A) B) 10 C) D) 1 Objective: (.3) Solve Apps: Geometr 5