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Math 10 Year Review Unit 1: Algebra Name _____________________ Find the values of a, b, c and d in the equations below. 8a 3 5 1. 5. 2. 3. 10 4c 6 4. 8d 3 5d 6 Evaluate that following expressions: a. given p 6, and q 3 p 2 q 3 p b. Given x 6, y 5, and z 2 (x)z 3 1 3 y 2 c. Given a 1, b 6, and c 2 a a b 1a 12 b 2c a 6. ABC is a triangle and the length of its sides is shown on the figure below. B 9 – 2 x 2 x C A 3 x+2 If the perimeter = 34 cm, find the value of x by writing and solving an algebraic equation. Math 10 – Year Review #1 Algebra 2013cy 1 Math 10 Year Review Unit 1: Algebra Name _____________________ x = ________________________ Solve the following equations. 7. 8. 6x 6 4 8x 6 9. 6(a 2) 3(a 2) 11. 7 p(3 2 p) 2 1 p 10 x 10 5 1 10. 3(y 2) 3 4 2 12. 3(a 6) 3(a 2) 13. Expand and simplify. 1 a. x 6 3x 3 b. 2(m 1) 3(2 3m) 1 c. 2x 2 2 Math 10 – Year Review #1 Algebra 2013cy 2 Math 10 Year Review Unit 1: Algebra Name _____________________ 14. When a number is decreased by 6 and the result is doubled, the answer is equal to the original number. Find the number by writing & solving an algebraic equation. ANSWER:______________ Solve the following equations for the variables given. 15. Given that x and y are positive integers and 2x 3y 24 , find three possible pairs of x and y numbers which make this equation true. (____,_____) (____,_____) 19. Solve for x: 2x 1 4 4x 5 Math 10 – Year Review #1 Algebra 2013cy Solve for y: 3 1 2 y 2 2y 5 y =______________ (____,_____) 17. Make x the subject the following formula. 6y 2x 12y 15 x 6x 16. 18. Make x the subject the following formula. 2a 20 a y 6x 2x 3y b 3 b 20. Expand and simplify (2m 4)(5 3m 1) 3 Math 10 Year Review Unit 1: Algebra 21. Solve for a: (2a 3)(a 3) 2a2 a 5 Name _____________________ 22. A number plus its half, plus its third is equal to 22. Find the number by writing and solving an algebraic equation. 23. After tennis, Andy collects twice as many balls as Roger and five more than Maria. They collect 35 balls in total. How many balls does Andy collect? 24. Peter, Kim and, Harrison have their 12th, 14th, and 15th birthdays today (2013). In what year will their ages first total 101. Math 10 – Year Review #1 Algebra 2013cy 4