Grade 6 Expressions: Unit Review

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Which expression matches "the product of 7 and n"? Choose one: 7n · n ÷ 7 · n + 7 · 7 ÷ n.

   1. Find the operation words: "product" means multiply.
   2. "the product of 7 and n" is 7n. The other choices (n ÷ 7, n + 7, 7 ÷ n) say something different.
   3. So the matching expression is 7n.

   Answer: 7n

2. Example 2

   Which expression matches "6 less than the product of 7 and n"? Choose one: 7n − 6 · 7(n − 6) · 6 − 7n · 7n + 6.

   1. Find the operation words: "less than" means subtract and "product" means multiply.
   2. "Less than" flips the order: start with the other amount, then take the number away — so the number comes after the minus sign.
   3. "6 less than the product of 7 and n" is 7n − 6. The other choices (7(n − 6), 6 − 7n, 7n + 6) say something different.
   4. So the matching expression is 7n − 6.

   Answer: 7n − 6

3. Example 3

   Which expression matches "the quotient of n and 6, increased by 6"? Choose one: 6 ÷ n + 6 · n ÷ 6 + 6 · n ÷ (6 + 6) · n ÷ 6 − 6.

   1. Find the operation words: "increased by" means add and "quotient" means divide.
   2. "the quotient of n and 6, increased by 6" is n ÷ 6 + 6. The other choices (6 ÷ n + 6, n ÷ (6 + 6), n ÷ 6 − 6) say something different.
   3. So the matching expression is n ÷ 6 + 6.

   Answer: n ÷ 6 + 6