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Algebra Practice-Test Multiple Choice : Show all steps for 2 marks per question (except #3) Identify the letter of the choice that best completes the statement or answers the question. ____ ____ ____ 1. Solve this equation. a. 21 b. 5 c. 3 d. 12 2. Solve this equation. a. 37 b. 23 c. 3 d. 11 3. A farmer has 56 of his cows out of the barn. He has 83 cows altogether. Let c represent the number of cows in the barn. Write an equation to find how many cows are in the barn. a. b. c. ____ 4. The sum of 2 consecutive whole numbers is 35. Write an equation that models this situation, and find the 2 numbers. a. ; ; b. ; ; c. ; ; d. ; ; ____ 5. Solve this equation. a. 7 b. 2 c. 17 d. d. 12 Short Answer 6. Find the value of x on this two-pan balance. a) 11 3 9 14 x What mass is needed to balance this question? b) 7g 6g 9 g 7. Find the value of x on this two-pan balance. Show your work. x x 3 x 5 6 8. 2 less than three times a number is 13. Write and solve an equation to find the number. 9. Explain using an example and using algebra why this math-magic trick works. Choose any number, add three to your number. Multiply your answer by 4 and then add your original number to this. Subtract the last two digits of this year. Divide this answer by 5. What do you get? 10 . i) What’s my rule? ii) Use your rule to solve for the missing value. a) b) input 2 3 4 25 output 10 12 14 iii) Write the rule for part a above using a different expression input -3 -5 -7 output 11.5 14.5 17.5 -8 Algebra Pre-Test Answer Section MULTIPLE CHOICE 1. ANS: C 2. ANS: A 3. ANS: D 4. ANS: D 5. ANS: A SHORT ANSWER 6. ANS: 6b. ANS: A mass of 8 g is needed for the left pan. PROBLEM 7. ANS: Sample: Write this problem as an equation. Remove x from each side of the equation. Subtract 3 from each side of the equation. 8. ANS: Let x represent the number. 9. You will get your original number back. 10. a) Rule #1 is y = 2x + 6 or second way is 2( x + 3 ) b) Rule is y = -1.5 x +7