1. Add: a) (+74) + (-32) b) (-47) + (-42) c) (-78) + (-14) d) (+42) + (-12) b) (71) - (+52) c) (-87) - (+35) d) (+19) - (+17) 2. Subtract: a) (59) - (-21) 3. Multiply: a) (-14) X (+3) b) (-24) X (-20) c) (+13) X (+6) d) (-12) X (+17) b) (+75) ÷ (+15) c) (-81) ÷ (-9) d) (+240) ÷ (+8) 4. Divide: a) (-117) ÷ (+9) 5. Solve using order of operations: a) 11 X 4 - 6 + 2 b) 7 -6/2 2 c) (6 - 2) + (7+1) 2 d) (6 - 2 + 10)2/2 e) Create your own question containing at least 4 operations and solve. 6. Find the circumference of a circle with a diameter of 3.44m. 7. Find the circumference of a circle with a radius of 32.11 m. 8. Calculate the circumference for each circle: a) diameter of 13.67m. b) radius of 12.51 m 9. What does the mathematical symbol pi ( )۽equate to? 10. Solve: a) 2x + 14 = 38 b) 3x – 10 = 80 11. Solve through substitution: a) x2 + 8 (sub +10) b) 11x + 2 c) 9x – 3 (sub -1) d) 100 -2x2 (sub 4) (sub - 16) c) 4x + 1 = 65 12. Collect like terms: a) 4x – 2 = x + 16 b) 8x - 11 = -4x + 25 c) 9x - 4 = 3x + 32 d) 14x - 2 = 10 + 8x 13. Use the distributive property and then collect like terms: a) -2(x + 8) = 22 b) 4(x + 1) = -2(x – 14) c) -7(2x + 2) d) 2(-2x +3) = 30 e) -8(x - 5) 14. List all the factors of: a) 99 b) 124 c) 108 d) 300 e) 12 f) 250 15. Illustrate the concept of GCF with two numbers of your own choosing. 16. List the first five multiples of: a) 4 b) 7 c) 12 d) 21 17. Calculate the LCM shared between 2 and 7. 18. Use the Pythagorean Theorem to solve for the missing side of each triangle: a) A: 3.1m, B: 4m, C : ___ b) A: ___, B: 8m, C: 11.2m 19. If the mast of a sailboat’s sail is 5.59 m tall, and the boom (bottom) is 6.64 m long, what is the distance from the top of the mast to the tip of the boom? 20. Add 5 from each side and solve for ‘x’: 21. List two real life uses of rate. 22. Write three equivalent ratios (showing all of your work) using 1:4 as a starting point. 23. Calculate the following percentages: a) 27/99 b) 71/69 c) 85/101 d) 79/89 e) 29/45 24. What is the probability of rolling two numbers adding up to ‘3’ on two 6-sided dice. 25. Describe a real life news situation involving probability. 26. Multiply the following fractions. Reduce as necessary: a) ½ X 2/3 b) 1/2 X 2/4 c) 1/2 X 2/3 27. Illustrate how to divide fractions by designing and solving your own question. 28. Add. Simplify as appropriate: a) 2/5 + 2/5 b) 4/6 + 1/2 c) 4/15 + 2/5 29. Subtract. Simplify as appropriate: a) 3/4 - 1/8 b) 3/4 - 1/12 c) 4/10 - 3/10 30. Convert the following improper fractions to mixed numbers: a) 7/3 b)9/5 c) 13/7 d) 11/5
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