Algebra 1 Expressions and Equations
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Algebra 1 Expressions and Equations

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@TranquilPascal

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Questions and Answers

What is the value of x in the equation 2x + 5 = 11?

  • 3 (correct)
  • 5
  • 4
  • 2

    • Simplify the expression 3(2x - 1) + 2x.

  • 6x - 3
  • 6x - 3 + 2x
  • 8x - 3 (correct)
  • 4x - 3

    • What is the equivalent expression to 2(x + 3) - 3?

  • 2x + 6
  • 2x + 3
  • 2x + 9 (correct)
  • 2x - 3

    • Solve for y in the equation y - 2 = 5.

    <p>7</p> Signup and view all the answers

    What is the value of x in the equation x/2 + 2 = 7?

    <p>8</p> Signup and view all the answers

    What is the first step in solving the equation 2x + 3 = 9?

    <p>Subtract 3 from both sides of the equation</p> Signup and view all the answers

    Which expression is equivalent to 2x + 3x?

    <p>5x</p> Signup and view all the answers

    What is the result of subtracting 2x - 3 from 3x + 2?

    <p>x - 1</p> Signup and view all the answers

    Simplify the expression 2(3x - 2) - x + 1.

    <p>5x - 3</p> Signup and view all the answers

    What is the result of adding 2x - 1 to x + 2?

    <p>3x + 1</p> Signup and view all the answers

    Study Notes

    Solving Equations

    • To find the value of x in the equation 2x + 5 = 11, subtract 5 from both sides and then divide both sides by 2.
    • The value of x in the equation 2x + 5 = 11 is 3.

    Simplifying Expressions

    • The simplified expression for 3(2x - 1) + 2x is 6x - 3 + 2x, which can be further simplified to 8x - 3.
    • The equivalent expression to 2(x + 3) - 3 is 2x + 6 - 3, which simplifies to 2x + 3.

    Solving for Variables

    • To solve for y in the equation y - 2 = 5, add 2 to both sides, resulting in y = 7.
    • To find the value of x in the equation x/2 + 2 = 7, subtract 2 from both sides and then multiply both sides by 2, resulting in x = 10.
    • The first step in solving the equation 2x + 3 = 9 is to subtract 3 from both sides, resulting in 2x = 6.

    Combining Like Terms

    • The expression 2x + 3x is equivalent to 5x.
    • The result of subtracting 2x - 3 from 3x + 2 is x + 5.

    Simplifying Complex Expressions

    • The simplified expression for 2(3x - 2) - x + 1 is 6x - 4 - x + 1, which can be further simplified to 5x - 3.
    • The result of adding 2x - 1 to x + 2 is 3x + 1.

    Solving Equations

    • To find the value of x in the equation 2x + 5 = 11, subtract 5 from both sides and then divide both sides by 2.
    • The value of x in the equation 2x + 5 = 11 is 3.

    Simplifying Expressions

    • The simplified expression for 3(2x - 1) + 2x is 6x - 3 + 2x, which can be further simplified to 8x - 3.
    • The equivalent expression to 2(x + 3) - 3 is 2x + 6 - 3, which simplifies to 2x + 3.

    Solving for Variables

    • To solve for y in the equation y - 2 = 5, add 2 to both sides, resulting in y = 7.
    • To find the value of x in the equation x/2 + 2 = 7, subtract 2 from both sides and then multiply both sides by 2, resulting in x = 10.
    • The first step in solving the equation 2x + 3 = 9 is to subtract 3 from both sides, resulting in 2x = 6.

    Combining Like Terms

    • The expression 2x + 3x is equivalent to 5x.
    • The result of subtracting 2x - 3 from 3x + 2 is x + 5.

    Simplifying Complex Expressions

    • The simplified expression for 2(3x - 2) - x + 1 is 6x - 4 - x + 1, which can be further simplified to 5x - 3.
    • The result of adding 2x - 1 to x + 2 is 3x + 1.

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    Solve various algebraic expressions and equations, including simplification and solving for variables.

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