Algebra 1 Expressions and Equations

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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 (B)</p> Signup and view all the answers

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

<p>8 (C)</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 (B)</p> Signup and view all the answers

Which expression is equivalent to 2x + 3x?

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

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

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

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

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

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

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

Flashcards

Solve 2x + 5 = 11

To find 'x', subtract 5 from both sides, then divide both sides by 2.

Simplify 3(2x - 1) + 2x

Distribute the 3, combine like terms (x).

Solve for y in y - 2 = 5

Add 2 to both sides of the equation.

Combine 2x + 3x

Add the coefficients, result: 5x.

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Simplify 2(3x - 2) - x + 1

Distribute, combine like terms.

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Solve x/2 + 2 = 7

Subtract 2, multiply both sides by 2.

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2x + 3 = 9 (first step)

Subtract 3 from both sides to isolate 2x.

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Simplify 2x − 3 from 3x+2?

(3x + 2) - (2x − 3) = x + 5.

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Value of x in 2x + 3 = 9

x = 3

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Simplify 2x − 1 + x + 2

Combine like terms to get 3x + 1.

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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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