Grade 8 Math Quiz Review

Algebraic Expressions and Equations

  • Simplification of Liketerms: The expression 3x+5x−2x3x + 5x - 2x simplifies to 6x6x.
  • Solving Single-Variable Equations: For the equation x+7=15x + 7 = 15, the value of xx is 88.
  • Order of Operations: Simplifying the expression 4(3+2)4(3 + 2) involves adding the bracketed terms first to get 4(5)4(5), resulting in 2020.

Numerical Calculations and Conversions

  • Multiplication: The calculation of 15×815 \times 8 results in 120120.
  • Percentage Calculation: 25%25\% of 200200 is calculated as 5050.
  • Fraction to Decimal Conversion: The fraction 34\frac{3}{4} is equivalent to the decimal value 0.750.75.

Geometry and Measurement

  • Area of a Rectangle: For a rectangle with a length of 8 cm8\,\text{cm} and a width of 5 cm5\,\text{cm}, the area is 40 cm240\,\text{cm}^2.
  • Triangle Interior Angles: In a triangle with known angles of 50∘50^\circ and 60∘60^\circ, the third angle is 70∘70^\circ, based on the triangle sum theorem (180∘180^\circ total).
  • Perimeter of a Square: Given a square with a side length of 7 cm7\,\text{cm}, the perimeter is calculated as 4×7 cm=28 cm4 \times 7\,\text{cm} = 28\,\text{cm}.