Linear Equations in One Variable for Class VIII

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Questions and Answers

After transposing $\frac{5}{2}$ to the RHS of the equation $\frac{x}{4} + \frac{5}{2} = -\frac{3}{4}$, what expression do you obtain?

  • $\frac{x}{4} = -\frac{3}{4} + (-\frac{5}{2})$ (correct)
  • $\frac{x}{4} = -\frac{3}{4} + \frac{5}{2}$
  • None of these
  • $\frac{x}{4} = -\frac{5}{2} + \frac{3}{4}$

In the equation $3x = 4 - x$, what is the resulting equation after transposing $(-x)$ to the LHS?

  • $3x + x = 4$ (correct)
  • $-3x + x = 4$
  • $3x - x = 4$
  • $-3x - x = 4$

Given the equation $\frac{x}{3} + 1 = \frac{7}{15}$, which of the following correctly isolates the term with 'x'?

  • $\frac{x}{3} = -\frac{7}{15} + 1$
  • $\frac{x}{3} = \frac{7}{15} - 1$ (correct)
  • $\frac{x}{3} = -\frac{7}{15} - 1$
  • None of these

If $7x + 15 = 50$, what is the solution to the equation?

<p>$5$ (C)</p>
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If $\frac{2x}{5} = 4$, what is the value of $x$?

<p>$10$ (B)</p>
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If $3x - 4(64 - x) = 10$, find the value of $x$.

<p>$38$ (C)</p>
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Which of the following equations is NOT a linear equation in one variable?

<p>$33(x + y) = 0$ (B)</p>
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What is the solution to the equation $2x - 3 = 7$?

<p>$7$ (A)</p>
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What is the solution to the equation $3x = 2x + 18$?

<p>$18$ (D)</p>
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If $m - 5 = 2$, then the value of m is what?

<p>7</p>
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If $8x - 3 = 25 + 17x$, then x is what?

<p>-3.11</p>
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The value of x for which the expressions $3x - 4$ and $2x + 1$ become equal is?

<p>5</p>
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If $5t - 7 = 3t - 5$, then t=?

<p>1</p>
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The value of x in $\frac{2}{3}x + 7 = x$ is ______.

<p>21</p>
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If $5x - 4(64 - x) = 9$, then what is the value of x?

<p>37</p>
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If $\frac{5x}{3} - 4 = \frac{2x}{5}$, then the numerical value of $2x - 7$ is?

<p>-11.08</p>
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If $3x = 4x + 18$, then the value of x is?

<p>-18</p>
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Solve the equation and find the value of n: $9n - 7 = 3n + 5$

<p>2</p>
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If $\frac{n}{11} = 10$, then $n = \frac{11}{10}$.

<p>False (B)</p>
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Flashcards

Equation

A mathematical statement where two expressions are equal.

Linear Equation

An equation where the highest power of the variable is 1.

Transposition

A way to solve equations by moving terms to the other side.

Variable in Linear Equation

A linear equation contains only one variable.

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Solution of Equation

A number that, when substituted for the variable, makes the equation true.

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Expanding an Equation

To use the distributive property to remove parenthesis.

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Rational Number

A fractional representation of a number.

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Multiplicative Inverse

The number which produces 1 when multiplied with the number.

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Study Notes

  • This worksheet covers linear equations in one variable for Class VIII students.
  • The worksheet is divided into five sections: A, B, C, D, and E.

Section A

  • Consists of multiple-choice questions numbered 1 to 10.
  • Each question is worth 1 mark, making this section worth a total of 10 marks.

Section B

  • Includes very short answer type questions numbered 11 to 20.
  • Each question carries 1 mark, making this section worth 10 marks.

Section C

  • Contains questions numbered 21 to 30.
  • Each question is worth 2 marks, with a total of 20 marks for the section.

Section D

  • Includes questions numbered 31 to 35.
  • Each question is worth 3 marks, making this section worth 15 marks.

Section E

  • Features questions numbered 36 to 40.
  • Each question carries 5 marks, with a total of 25 marks for the section.

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