Algebra 1 b unit 4 sample work

Answer 1

1. Simplify the expression: 3x + 5 - 2x

Answer: x + 5

2. Solve the equation: 2(3x - 4) = 14

Step 1: Distribute the 2 on the left side of the equation: 6x - 8 = 14
Step 2: Add 8 to both sides of the equation: 6x = 22
Step 3: Divide both sides by 6: x = 22/6 or x = 11/3

Answer: x = 11/3

3. Factor the expression: 10x^2 + 25x

Step 1: Find the greatest common factor of the terms: 5x
Step 2: Rewrite the expression using the GCF: 5x(2x + 5)

Answer: 5x(2x + 5)

4. Solve the inequality: -2x + 7 < 15

Step 1: Subtract 7 from both sides: -2x < 8
Step 2: Divide both sides by -2 (remember to flip the inequality sign since dividing by a negative number): x > -4

Answer: x > -4