Algebra Semester Exam

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Questions and Answers

What is the value of x in the equation $2x + 3x = 45$?

  • 15 (correct)
  • 9
  • 45
  • 5

The solution to the equation $2(3x - 5) = 4x + 12$ is $x = 11$.

False (B)

Solve for x: $2x - 11 = 29$

20

The result of multiplying $2a(3x^2 - 5y^2)$ is $______ax^2 - 10ay^2$.

<p>6</p> Signup and view all the answers

Match the expressions with their corresponding simplified forms:

<p>$2a + 4b + 6a - 2b - a + 3b$ = $7a + 5b$ $8x - y - (4x - 7y)$ = $4x + 6y$ $15x - 3y + 2z - (3x + 8y - 9z)$ = $12x + 5y + 11z$ $(2x + 6)(3x + 2)$ = $6x^2 + 22x + 12$</p> Signup and view all the answers

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Study Notes

Test 6 (Semester Exam) Directions

  • Show all work neatly in pencil in the provided space.
  • Copy answers from the workspace into the answer space.
  • Use another sheet to keep all work and answers covered at all times.

Equations to Solve for x

  • 2x + 3x = 45
  • 2x - 11 = 29
  • 2x/3 = 12
  • 6x + 2x - 1 = 15
  • 5x - 6 = 50 - 2x
  • 2(3x - 5) = 4x + 12

Adding Expressions

  • Combine like terms: -2a + 4b, -6a - 2b, a + 3b
  • Combine like terms: 4x² - 3xy + 5y² + 10xy - 17y² - 11x² - 5xy + 12x² - 2xy

Subtracting Expressions

  • Subtract the lower number from the upper number: -8x - y, -4x - 7y
  • Subtract the lower number from the upper number: -15x - 3y + 2z, -3x + 8y - 9z

Multiplication

  • Multiply 2a by the expression: 3x² - 5y²
  • Multiply binomials: (2x + 6) and (3x + 2)

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