Unit 6 lesson 9 sample work math
1. Simplify the following expression:
\(4x^2 - 2x + 5x^2 + 3x - 7\)
First, combine like terms:
\(4x^2 + 5x^2 - 2x + 3x - 7\)
\(9x^2 + x - 7\)
Therefore, the simplified expression is \(9x^2 + x - 7\).
2. Solve the following equation for x:
\(3(2x + 4) = 12\)
First, distribute the 3 on the left side of the equation:
\(6x + 12 = 12\)
Next, subtract 12 from both sides:
\(6x = 0\)
Finally, divide both sides by 6 to solve for x:
\(x = 0\)
Therefore, the solution to the equation is \(x = 0\).
3. Solve the following inequality for x:
\(2x + 5 > 11\)
First, subtract 5 from both sides of the inequality:
\(2x > 6\)
Next, divide both sides by 2 to solve for x:
\(x > 3\)
Therefore, the solution to the inequality is \(x > 3\).