The perimeters of the square and the triangle are the same. Solve for “x”. 6. Given the equation: Check that x = 5 and x = -1 are both solutions of this equation. a) b) Choose any other value for “x” and check that it is also a solution to the equation. c) Solve the equation algebraically. Explain why every number is a solution to the equation. . 7. John graphed the solution to the inequality: a) Explain the two errors that John made. b) Draw the correct solution. 8. In the following rectangle, the perimeter is less than 96 cm. a) For what whole number value of “n” is the perimeter the greatest? b) Explain whether or not “n” can have a value of 1 in the rectangle. Answers: 1a) a = -10.8 b) n=5.1 c) d=6 d) t=10 e) x = 4/3 f) x<-2 g) ns 3. Kim =9 Tina = 27 4. 5. x = 2 6. A) LHS = RHS in both equations 8. a) 9 b) No the length cannot = 1 b) 36=36 c) 3x+6 = 3x+6 7. a) Unit 6: Linear Relations Be able to: Describe and write equations from patterns Use an equation or pattern to make a table of values and graph the resulting line on a Cartesian plane; decide if a line should be drawn to connect the points Graph and describe horizontal and vertical lines Match an equation to a graph and vice versa Use graphs to estimate values by interpolating and extrapolating Questions
The perimeters of the square and the triangle are the same. Solve for “x”. 6. Given the equation: a) Check that x = 5 and x = -1 are both solutions of this equation. b) Choose any other value for “x” and check that it is also a solution to the equation. c) Solve the equation algebraically. Explain why every number is a solution to the equation. 7. John graphed the solution to the inequality: . a) Explain the two errors that John made. b) Draw the correct solution. 8. In the following rectangle, the perimeter is less than 96 cm. a) For what whole number value of “n” is the perimeter the greatest? b) Explain whether or not “n” can have a value of 1 in the rectangle. Answers: 1a) a = -10.8 b) n=5.1 c) d=6 d) t=10 e) x = 4/3 f) x<-2 g) ns 3. Kim =9 Tina = 27 4. 5. x = 2 6. A) LHS = RHS in both equations b) 36=36 c) 3x+6 = 3x+6 7. a) 8. a) 9 b) No the length cannot = 1 Unit 6: Linear Relations Be able to: Describe and write equations from patterns Use an equation or pattern to make a table of values and graph the resulting line on a Cartesian plane; decide if a line should be drawn to connect the points Graph and describe horizontal and vertical lines Match an equation to a graph and vice versa Use graphs to estimate values by interpolating and extrapolating Questions
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