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

    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

    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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    Description

    Solve for x in various algebraic equations and add expressions. This quiz covers basic algebra concepts and problem-solving skills.

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