Algebra 1 Fall Final Review
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1 Standard: Determine Independent from Dependent Quantities. 1) Grissom draws different-sized spheres in a notebook. He knows there is a relationship between the volume of the sphere and the length of its diameter. What is the independent quantity in the situation? a. cost of Grissom s notebook b. length of diameter c. volume of sphere d. number of spheres Grissom draws 2) Sarah drove to the grocery store. She was at the grocery store for several minutes. Then Sarah drove back to her house. The graph shows this relationship. In the graph, what is the dependent quantity? a. grocery store b. Sarah s house c. time, in minutes d. distance from Sarah s house, in miles Standard: Write an Explicit Formula for Arithmetic or Geometric Sequences, where and. 3) Gregory has agreed to donate $250 to Spring Valley High School for its library. In addition, he will donate $5 for every book a student at Spring Valley High School reads during the summer. The sequence shown represents the possible amounts that Gregory will be donating for the summer. 250, 255, 260, 265, 270, 275, Which explicit formula represents this problem situation? a. b. c. d. 4) Write the explicit formula for the following sequence: -2, 1, 4, 7,
2 Standard: Evaluate Linear Equations using Function Notation Standard: Solve Linear Equations 7) 12x + 5x 8 = 12x 10 8) 5x 2 = 3x + 5 9) 3x = 5(x + 3) 3 10) 2(3x 4) = 3x + 1 Standard: Rewrite Linear Equations in Standard or Slope-Intercept Form. 11) Which shows the equation in slope-intercept form? a. b. c. d. 12) Which shows the equation y = ½ x + 3 in Standard form? a. x + 2y = 6 b. - ½ x + y = 3 c. 2y = x + 6 d. x + y = 3
3 Standard: Find the Slope of a line in any form Standard: Find intercepts of a line in any form. 17) What is the y-intercept for the equation? a. (0, 6) b. (0, 4.5) c. (0, 4.5) d. (0, 6) 18) What is the x-intercept of the equation? a. ( 12, 0) b. ( 3, 0) c. (0, 3) d. (0, 12) Standard: Graph linear functions.
4 Standard: Use regression to find a line of best fit. 21) The table shows a town s population for different years. What is the linear regression equation? Year Population 78,309 79,043 78,983 79,744 80,113 80,990 Standard: Interpret the slope and intercepts of a line of best fit. 22) 23)
5 24) Standard: Solve linear inequalities 25) 26) 27) 28)
6 Standard: Graph linear inequalities 29) 30) Standard: Graph a system of inequalities 31) 32) Standard: Write a system of equations 33) Samuel pays $59.99 plus $0.25 for each minute over 450 minutes for his cell phone plan. Monica pays $64.99 plus $0.10 for each minute over 450 minutes for her cell phone plan. Which system of equations represents this situation? Let x represent the number of minutes over 450. a. b. c. d.
7 Standard: Solve linear systems by graphing 34) 35) Standard: Solve a linear system by substitution or elimination. 36) 37) 38) 39) Standard: State the domain and range and determine if the relation is a function. 40) The table shows the amount of accumulated snowfall during different months. What is the domain and range of the data? Does the relation represent a function? Month Accumulated Snowfall (inches)
8 41) What is the range of the function? a. b. c. d. 42) What is the range of the function represented by the graph? a. All real numbers greater than 4. b. All real numbers less than. c. All real numbers greater than. d. All real numbers less than. 43) Which table of values represents a function? a c b d
9 Standard: Write functions as transformations of a parent graph. 44) The graph of is shown. Which shows? 45) Which shows the function after a vertical translation 4 units down? a b c d 46) Which equation has the following four characteristics? a. c. is an exponential function. is continuous. is increasing. is translated 5 units up from. b. d. a b c d
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