Math Skills Challenge

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Questions and Answers

Solve the following equation: $4x + 7 = 31$

  • $x = 11$
  • $x = 9$
  • $x = 6$ (correct)
  • $x = 8$

Simplify the expression: $(2/3) + (5/6) - (1/2)$

  • $1/2$ (correct)
  • $2/3$
  • $1/3$
  • $1/6$

Which of the following numbers is a prime number

  • 42
  • 31 (correct)
  • 27
  • 36

Calculate the product of 5.2 and 3.6.

<p>15.2 (D)</p> Signup and view all the answers

Solve the following fraction equation: $(3/4) * x = 9$

<p>$x = 12$ (B)</p> Signup and view all the answers

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Study Notes

Solving Linear Equations

  • To solve the equation $4x + 7 = 31$, subtract 7 from both sides and divide both sides by 4, resulting in $x = 6$.

Simplifying Expressions

  • To simplify the expression $(2/3) + (5/6) - (1/2)$, find a common denominator, which is 6, and convert each fraction to have a denominator of 6: $(4/6) + (5/6) - (3/6) = (6/6) = 1$.

Prime Numbers

  • A prime number is a positive integer that is divisible only by itself and 1.
  • Among the options, the prime number is: 7.

Multiplying Decimals

  • To calculate the product of 5.2 and 3.6, multiply the numbers: 5.2 × 3.6 = 18.72.

Solving Fraction Equations

  • To solve the equation $(3/4) * x = 9$, multiply both sides by 4/3, resulting in $x = 12$.

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