Charles Kinyanjui Ikenye

**Math Practice Quiz** 1. Simplify the expression: 2x + 3x - 5 2. Solve for x:3x - 7 = 20 3. Factor the expression: x2 - 9 4. Solve the equation for y: 2y + 3 = 7 5. If a triangle has angles measuring x, 2x, and 3x, what is the measure of each angle? 6. Simplify the expression: {2x2y}/{4xy2} 7. Solve the inequality for x: 5x - 3 > 12 If f(x) = 3x + 2, find f (4) 9. Solve the system of equations: x + y = 7 2x - y = 3 10. Simplify the expression: (3x2 - 2x + 1) + (2x2 - 3x + 2) Let's break down each problem: 1. Simplify the expression: 2x + 3x - 5 This is a simple addition and subtraction problem. Combine like terms: 2x + 3x - 5 = 5x - 5 2. Solve for x: 3x - 7 = 20 To solve for x, first add 7 to both sides to isolate the term with x: 3x - 7 + 7 = 20 + 7 3x = 27 Then, divide both sides by 3 to solve for x: x = {27}/ {3} = 9 3. Factor the expression: x2 - 9 This is a difference of squares, which can be factored into: (x - 3) (x + 3) 4. Solve the equation for y: 2y + 3 = 7 First, subtract 3 from both sides: 2y = 7 - 3 = 4 Then, divide both sides by 2 to solve for y: y = {4}/ {2} = 2 5. If a triangle has angles measuring x, 2x, and 3x, what is the measure of each angle? The sum of the angles in a triangle is 180 degrees. So, we can set up the equation: x + 2x + 3x = 180 Solving for x gives: x = {180}/ {6} = 30 So, the angles are 30 degrees, 60 degrees, and 90 degrees. 6. Simplify the expression: {2x2y/ 4xy2} First, cancel out the common factors: {2x2y}/ {4xy2} = {x}/ {2y} 7. Solve the inequality for x: 5x - 3 > 12 First, add 3 to both sides: 5x > 15 Then, divide both sides by 5 to solve for x: x >3 8. If f(x) = 3x + 2, find f (4) Substitute x = 4 into the function: f (4) = 3(4) + 2 = 14 9. Solve the system of equations: x + y = 7 2x - y = 3 Add the two equations together to eliminate y: 3x = 10 So, x = {10}/ {3} Substitute x = {10}/ {3} into the first equation to solve for y: y = 7 - x = 7 - {10}/ {3} = {11}/ {3} 10. Simplify the expression: (3x2 - 2x + 1) + (2x2 - 3x + 2) Combine like terms: 5x2 - 5x + 3 Remember, practice is key to mastering math. Good luck! 😊😊