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Algebra Formative Review

Algebra Formative Review. March 24, 2010. Question #1. Which system of equations could be used to find the length of a rectangle that has a perimeter of 28 inches and has length that is two more than five times the width? 2l + 2w = 28 b. 2l + 2w = 28 l = 5w l = 5w + 2

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Algebra Formative Review

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  1. Algebra Formative Review March 24, 2010

  2. Question #1 Which system of equations could be used to find the length of a rectangle that has a perimeter of 28 inches and has length that is two more than five times the width? • 2l + 2w = 28 b. 2l + 2w = 28 l = 5w l = 5w + 2 • l + w = 28 d. l + w = 28 w = 5l w = 5l + 2

  3. Question #2 The school cafeteria sells a hamburger meal for $5 and a vegetarian meal for $4. On Tuesday the cafeteria sold 3 more hamburger meals than vegetarian meals. The income from these sales was $357. Which system of equations can best matches this situation? • 5h + 4v = 357 b. 5h + 4v = 3 v = h + 3 h = v + 357 • 4h + 5v = 357 d. 5h + 4v = 357 h = v – 3 h = v + 3

  4. Question #3

  5. Question #4

  6. Which is not a solution to the graph to the right? (0, 0) (2, 3) (-3, -3) (0, -5) Question #5

  7. Question #6 What is the equation of a line that contains the point (-2, -14) and has a slope of 5? (hint: Calculator table!!!) • y = 5x - 4 • y = -4x + 5 • y = x – 5 • y = x + 4

  8. Question #7 Which of the following best describes the solution(s) to the system of equations below? x – 2y = 8 y = ½ x – 4 • There is one solution • There are no solutions • There are infinite solutions • There are two solutions

  9. Question #8 Which statement is true about the equations y = 5x – 2 and y = 5x + 6 • They are perpendicular • They intersect • They are parallel • The system has infinite solutions

  10. Question #9 The slope of the equation y = -6x + 4 is doubled and the y-intercept is cut in half. Which of the following statements best describes the graph of the new equation? • The graph is less steep • The graph is shifted up 2 spaces • The graph is steeper • The graph remains the same

  11. Which statement best describes the range of the function to the right? All real numbers R = {-1} R = {-1<y<15} All real numbers greater than -1 Question #10

  12. Question #11 What is the equation of a line with a slope of -1 that passes through the point (-2, 8)? (hint: y = mx + b form, use the table in your calculator!) • x + y = 6 • -x + y = 6 • x – 6 = y • None of the above

  13. Question #12 The area of a rectangle can be represented by the equation A = 6(x - 5). What is a reasonable domain for this equation. (hint: What values of the domain make the area a reasonable number?) • All real numbers • x < 5 • x > 5 • x = 5

  14. Question #13 What is the solution to the equation: 2x – 5(x + 2) < 2x + 5 (hint: Draw the river, distribute, combine like terms, move x’s to one side, move #’s to one side, solve for x) a. x < -3 b. x > -3 c. x > 1 d. x < 1

  15. Question #14 The high school is having a play. Adult tickets cost $5.00 and student tickets cost $3.50. The total amount of money collected was $337.50 and 75 total tickets were sold. How many adult tickets were sold? (hint: have x = student and y = adult, make an equation for total money and one for total tickets sold. Change the equations to y = mx + b form, solve by finding the intersection) a. 25 b. 50 c. 75 d. None of these

  16. Question #15 Five adults and four children went to a movie and paid $37.50 for their tickets. Another 3 adults and one child went to the movies and paid $19.00. How much does one child ticket cost? A. $5.50 B. $4.00 C. $2.50 D. $19

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