Unit 6 lesson 9 sample work math

Answer 1

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 \(x > 3\).