Name: ______________________ Class: _________________ Date: _________ ID: A Linear Relations Mid-Unit Practice Quiz Multiple Choice Identify the choice that best completes the statement or answers the question. ____ ____ 1. In the equation P = 8n + 4, determine the value of P when n = 15. A. 152 B. 27 C. 92 D. 124 2. This pattern of unit squares continues. Which equation below relates the number of squares, n, to the figure number, f? i) n = 3f + 4 ii) n = 3f + 1 iii) f = 3n + 1 iv) f = 4 + 3n A. iii ____ B. ii C. iv D. i 3. The cost to rent a piece of equipment is $26, plus $5.27 per hour. Calculate the cost of renting the equipment for 8 h. A. $39.27 B. $1096.16 C. $250.16 D. $68.16 . ____ 4. Which graphs represent a linear relation? A. P only B. P, R, and S C. P and S 1 D. P and R Name: ______________________ ____ ID: A 5. Which tables of values represent a linear relation? i) x 1 2 3 4 5 y 2 5 10 17 26 x 0 1 2 3 4 y 0 5 10 15 20 x 1 2 3 4 5 y 5 9 13 17 21 x 0 1 2 3 4 y 12 11 10 9 8 ii) iii) iv) A. All of these ____ B. ii and iii C. ii, iii, and iv D. i and iv 6. Complete the table of values. y = 10 − 4x ____ A. C. B. D. 7. Sean cycles at an average speed of 5 m/s. He travels a distance, d metres, in t seconds. Write an equation that relates d and t. t A. d = B. t = 5d 5 2 C. d = 5t D. d = t + 5 Name: ______________________ ____ ID: A 8. For the equation 4x − 2y = 8, make a table of values for x = −2, 0, and 2. A. C. B. ____ D. 9. Which equations describe vertical lines? i) ii) iii) iv) x + 6 = 15 y − 15 = 6 x+y = 6 15x = 6 A. i and iv B. ii and iii C. ii and iv D. i and iii Short Answer 10. The cost of a taxi ride is the sum of a fixed cost of $15.95 plus $1.65 for each kilometre travelled. a) Write an equation that relates the cost of a taxi ride, F dollars, to the distance travelled, n. . b) Determine the cost of a 28-km taxi ride. . 3 Name: ______________________ ID: A 11. Graph the following lines on the same grid. Label the lines. i) y = 4 ii) x = 3 12. A student builds a pyramid with some playing cards. The top level (level one) requires two cards. Level two requires 5 cards (1 for the platform and 4 for the pyramids). The third level down requires 8 cards, 2 for the platform and 6 for the pyramids. This pattern continues with each level in the pyramid of cards. a) Create a table of values to show the relationship between the number levels (l) (starting with the top one) and the number of cards (c) for that level. b) Graph the relationship. c) Write an equation to show the relationship. d) Which is the independent variable and which is the dependent variable? e) How many cards will be required for a 12th level? Use your equation from part (c) and show your work. 4 ID: A Linear Relations Mid-Unit Practice Quiz Answer Section MULTIPLE CHOICE 1. ANS: REF: TOP: 2. ANS: REF: TOP: 3. ANS: REF: TOP: 4. ANS: LOC: KEY: 5. ANS: LOC: 6. ANS: LOC: 7. ANS: LOC: KEY: 8. ANS: REF: TOP: 9. ANS: REF: TOP: D PTS: 1 DIF: Easy 4.1 Writing Equations to Describe Patterns LOC: 9.PR1 Patterns and Relations (Patterns) KEY: Procedural Knowledge B PTS: 1 DIF: Easy 4.1 Writing Equations to Describe Patterns LOC: 9.PR1 Patterns and Relations (Patterns) KEY: Conceptual Understanding D PTS: 1 DIF: Moderate 4.1 Writing Equations to Describe Patterns LOC: 9.PR1 Patterns and Relations (Patterns) KEY: Procedural Knowledge B PTS: 1 DIF: Easy REF: 4.2 Linear Relations 9.PR2 TOP: Patterns and Relations (Patterns) Conceptual Understanding C PTS: 1 DIF: Moderate REF: 4.2 Linear Relations 9.PR2 TOP: Patterns and Relations (Patterns) KEY: Procedural Knowledge C PTS: 1 DIF: Moderate REF: 4.2 Linear Relations 9.PR2 TOP: Patterns and Relations (Patterns) KEY: Procedural Knowledge C PTS: 1 DIF: Moderate REF: 4.2 Linear Relations 9.PR2 TOP: Patterns and Relations (Patterns) Conceptual Understanding C PTS: 1 DIF: Easy 4.3 Another Form of the Equation for a Linear Relation LOC: 9.PR1 Patterns and Relations (Patterns) KEY: Procedural Knowledge A PTS: 1 DIF: Moderate 4.3 Another Form of the Equation for a Linear Relation LOC: 9.PR1 Patterns and Relations (Patterns) KEY: Conceptual Understanding SHORT ANSWER 10. ANS: a) F = $15.95 + 1.65n PTS: 1 DIF: Moderate REF: 4.1 Writing Equations to Describe Patterns LOC: 9.PR1 TOP: Patterns and Relations (Patterns) KEY: Conceptual Understanding | Procedural Knowledge 1 ID: A 11. ANS: PTS: 1 DIF: Easy REF: 4.3 Another Form of the Equation for a Linear Relation LOC: 9.PR1 TOP: Patterns and Relations (Patterns) KEY: Procedural Knowledge 12. ANS: a) b) c) c = 3l d) independent variable is the level and the dependent variable is the number of cards e) c = 3(12) c = 36 36 cards will be required to construct the 12th level PTS: 1 2