[ LET 3 ] 2025 BLEPT Reviewer - Algebra

Basic Algebra Review

1. Solve for x: 2x + 3 = 7

2. Simplify: 4(2x - 5)

3. Solve for x: x/4 = 5

4. Simplify: 3x - 2x + 6

5. Solve for x: 5x - 9 = 16

6. Expand: (x + 3)(x - 2)

7. Solve for x: 2x - 7 = 3x + 1

8. Simplify: x^2 + 2x + 1

9. Solve for x: x^2 - 9 = 0

10. Simplify: 2(x + 4) - 3(x - 2)

Results

Solutions:

• 1. Solve for x: 2x + 3 = 7
  Solution: 2x + 3 = 7
  2x = 7 - 3
  2x = 4
  x = 2
• 2. Simplify: 4(2x - 5)
  Solution: 4(2x - 5) = 4*2x - 4*5
  = 8x - 20
• 3. Solve for x: x/4 = 5
  Solution: x/4 = 5
  x = 5 * 4
  x = 20
• 4. Simplify: 3x - 2x + 6
  Solution: 3x - 2x + 6
  = x + 6
• 5. Solve for x: 5x - 9 = 16
  Solution: 5x - 9 = 16
  5x = 16 + 9
  5x = 25
  x = 5
• 6. Expand: (x + 3)(x - 2)
  Solution: (x + 3)(x - 2) = x*x + x*(-2) + 3*x + 3*(-2)
  = x^2 - 2x + 3x - 6
  = x^2 + x - 6
• 7. Solve for x: 2x - 7 = 3x + 1
  Solution: 2x - 7 = 3x + 1
  -7 - 1 = x
  x = -8
• 8. Simplify: x^2 + 2x + 1
  Solution: x^2 + 2x + 1 = (x + 1)^2
• 9. Solve for x: x^2 - 9 = 0
  Solution: x^2 - 9 = 0
  (x - 3)(x + 3) = 0
  x = ±3
• 10. Simplify: 2(x + 4) - 3(x - 2)
  Solution: 2(x + 4) - 3(x - 2)
  = 2x + 8 - 3x + 6
  = -x + 14