MFM2P - Linear Equations

1. Simplify the following expressions. Q) 8m - 2 + 5m - 1 6) - 2x + 3y - 5x + 8y 2. Solve for the following equations. a) - 3x + 5 =- 1 b) 4m - 2 = 3m - 8 3. Rewrite the equation in y=mx+b form . o) 3x + y = 10 b) 6x + 2y - 8 = 0 4. Create an expression that would simplify to 2m + 8. It must also involve expanding brackets and collecting like terms. 5. Create a two-step equation that would have the solution x =- 2. The equation must involve two different operations. 6. Explain (using words), the strategies you would use to solve the following equation: 2(x - 4) =- 3(x + 5)[Note: it is not necessary to solve it, just explain the process] 7. When solving linear equations, what are two common mistakes people can make? Provide an example for each. 8. Solve the following equations a. 2x - 5 = ,x+6 3 6. -4(m-2) _ 4m 9. Jerrol owns an internet cafe and the total amount he charges, C, is determined by the amount of hours, h, a person stays in the cafe. An equation to represent the total charges is represented by C = 4h + 2 If Mrs. Astejada only has 25$ to spend, how long can she stay in the cafe? 10. Determine the slope and y-intercept of the following relations. . -6x + 3y -- 9 b. 0 =- 2x - 4y + 12