Skip to content
Home › Test solutions › Grade 6 › Numerical and Algebraic Expressions: math test solutions, Grade 6

Numerical and Algebraic Expressions: math test solutions, Grade 6 – download the PDF

  • by
Rate this post
Test solutions Grade 6 : Numerical and Algebraic Expressions — Zyro the alien explorer of Planète Maths

Test solutions with the detailed point scale. Add up your points and spot what to review.

Suggested time: 45 minutes. Out of 20 points. Calculator allowed only when the problem says so.

1 Exponents and order of operations / 4 pts

  1. \(5 \cdot 5 \cdot 5 = 125\). (1 pt)
  2. \(40 - 16 = 24\). (1 pt)
  3. \(3 \cdot 6^2 = 3 \cdot 36 = 108\). (1 pt)
  4. \(100 \div 25 + 9 = 4 + 9 = 13\). (1 pt)

2 Writing expressions / 4 pts

  1. \(x - 12\). (1 pt)
  2. \(6(y + 2)\). (1 pt)
  3. \(9t + 5\). (1 pt)
  4. \(\dfrac{n}{4} + 1\). (1 pt)

3 Evaluating expressions / 3 pts

  1. \(5 \cdot 4 - 2 = 20 - 2 = 18\). (1 pt)
  2. \(16 + 6 = 22\). (1 pt)
  3. \(2 \cdot 6 = 12\). (1 pt)

4 Parts of an expression / 2 pts

  1. The terms are \(8m\), \(5n\), and \(11\). (1 pt)
  2. The coefficient of \(n\) is 5 and the constant is 11. (1 pt)

5 Distributive property and equivalence / 4 pts

  1. \(5 \cdot 2x + 5 \cdot 3 = 10x + 15\). (1 pt)
  2. The GCF of 16 and 20 is 4, so \(16y + 20 = 4(4y + 5)\). (1 pt)
  3. For \(x = 2\): \(3(6) = 18\) and \(3(2) + 4 = 10\). (1 pt) The values differ, so the expressions are not equivalent; the 3 must also multiply the 4. (1 pt)

6 Simplifying and a rectangle / 3 pts

  1. \((9a + 2a) + (4 - 3) = 11a + 1\). (1 pt)
  2. Perimeter \(= 2(x + 6) + 2 \cdot 4\) (1 pt) \(= 2x + 12 + 8 = 2x + 20\) inches. (1 pt)
Back to the test : Numerical and Algebraic Expressions: math test solutions, Grade 6 – Planète MathsReview the lesson : Numerical and Algebraic Expressions: math test solutions, Grade 6 – Planète Maths

Test yourself: quick challenge for Grade 6

🚀 Keep exploring with Zyro

Numerical and Algebraic Expressions: math test, Grade 6📝 Math testsNumerical and Algebraic Expressions: math test, Grade 6Numerical and Algebraic Expressions: math lesson, Grade 6📘 Math lessonsNumerical and Algebraic Expressions: math lesson, Grade 6Numerical and Algebraic Expressions: math quiz, Grade 6🎯 Math quizzesNumerical and Algebraic Expressions: math quiz, Grade 6Equations and Inequalities: math test, Grade 6📝 Math testsEquations and Inequalities: math test, Grade 6Dependent and Independent Variables: math test, Grade 6📝 Math testsDependent and Independent Variables: math test, Grade 6Equations and Inequalities: math lesson, Grade 6📘 Math lessonsEquations and Inequalities: math lesson, Grade 6