Algebra Exam

Find the output number that goes in the grey box: 8 32 33 9 Zane read 39 pages on Saturday and p pages on Sunday. Which algebraic expression shows the total number of pages he read in total? 39 -p 39 +p 39 39p A child’s ticket for the Timmins museum cost $2 less than an adult’s ticket. If m represents the cost of an adult’s ticket, which expression represents the cost of a child’s ticket? 2m 2 -m m - 2 2 +m Warren’s job pays him $8 per hour. Which algebraic expression represents Warren’s pay for working h hours, and what is his pay if he works 31 hours? 8 x h and $252 8h and $241 8 x h and $248 8h and $248 Madison is planning a trip to the Cochrane polar bear exhibit for her friends. The bus to get there costs $62 for the group, and tickets are $11 per person. Which algebraic expression shows the cost for the trip in total? n (11 + 62) 62n + 11 11n + 62 11n x 62 What is the cost of the above trip if 77 people attend? $785 $1239 $847 $909 Which equation fits this sentence: 6 added to 7 times a number is 50. 6 - 7x = 50 6 + 7x = 50 6 + 7 = 5x 6x + 7 = 50 Jada thinks of a number. She multiplies the number by 6, then adds 8 to it. The answer is 50. What was the original number? 8 7 9 10 Find the value of x that makes this equation true: x / 5 = 20 100 4 0.25 120 Input Complete this table Input (x) Output (2x+ 10) 1 12 2 14 3 16 4 18 5 20 6 22 Name one reason why it is useful to use variables (letters) in some situations in algebra instead of a number. (1 mark) What is the difference between an algebraic expression and equation? Write an example for each. (3 marks) Write an expression or an equation to represent each statement (6 marks) Sentence Algebraic expression or equation A number decreased by five A number increased by seven is 17 Eight multiplied by a number is equal to 32 A number divided by ten, THEN increased by 1 Eight times the number of horses An amount of money divided by 3 is equal to 100 The grade 8s are selling cases of fruit at $14 per case to raise money for their Toronto trip. a) Write an algebraic expression for the cost of n cases of fruit. (1 mark)b) Evaluate your expression above for 400 cases of fruit. Show your work. (2 marks) Koen and 2 friends bought some Timbits before school. They shared the Timbits equally. Koen then gave 2 to his brother and had 10 Timbits left. a) Write an equation you can use to find the number of Timbits Koen and his friends bought in the first place. Use t to represent the number of Timbits they started with. (2 marks)b) Solve the equation to answer the question. (How many Timbits did they buy in the first place?) Show your work. (3 marks) Variables in Expressions Evaluate the following. Show your work in the right-hand column. x + 3 x = 6 y - 7 y = 9 7p p = 3 y y = 12 3m - 6 m = 6 5n - 3 n = 10 8 + 2g + 2h g = 4h = 7 Solving Equations Solve each equation. Show your work in the right-hand column. x + 5 = 9 y - 2 = 9 14 - p = 9 y = 3 5m = 25 n = 4 3g + 2 = 8 6m - 7 = 5 t + 4 = 7