6th grade · Math · Unit 10 of 17
Algebra Moves
Monomials and inequalities
What your child practices
Combining like terms such as 3x + 5x, evaluating expressions, and finding values that make an inequality true and showing them on a number line.
Alabama Course of Study content standard: 6.15; 6.20 · evaluating expressions with letters for numbers and writing inequalities of the form x > c or x < c
How we explain it
Children can open this short lesson before they practice.
- A variable is a letter that stands for a number.
- Add like terms: 3n + 2n = 5n.
- To evaluate, replace the letter with its number, then use the order of operations.
Example: Evaluate 2n + 3 when n = 4. Replace n with 4: 2 × 4 + 3. Multiply first: 8. Then add: 8 + 3 = 11. Answer: 11
Algebra Moves in Alabama
In the Alabama Course of Study, this is unit 10 of 17 in 6th grade Math, after Integers & Decimals and before Data & Graphs.
Gradelings describes a child's practice on this unit as Beginning, Approaching, Meeting or Exceeding (Four practice steps). That reflects practice, not a report-card mark: the teacher decides the mark.
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
Which value of n makes 2n + 7 < 21 true?
2n + 7 < 21
- 6
- 9
- 7
6
Hint: Try each choice in the inequality.
Question 2
Which shows the solution to n < 2 on a number line?
- a closed circle at 2 with an arrow pointing left
- an open circle at 2 with an arrow pointing right
- an open circle at 2 with an arrow pointing left
an open circle at 2 with an arrow pointing left
Hint: An open circle means the number itself is not included. The arrow points to the numbers that work.
Question 3
Which shows the solution to n > 2 on a number line?
- an open circle at 2 with an arrow pointing right
- a closed circle at 2 with an arrow pointing right
- an open circle at 2 with an arrow pointing left
an open circle at 2 with an arrow pointing right
Hint: An open circle means the number itself is not included. The arrow points to the numbers that work.
Question 4
Evaluate 5n + 7 when n = 3.4.
5n + 7, n = 3.4
answer box
24
Hint: Put 3.4 in for n. Multiply first, then add.
Question 5
Evaluate 6n − 6 when n = 12.
6n − 6, n = 12
answer box
66
Hint: Put 12 in for n. Multiply first, then subtract.
Question 6
What is 5y + y?
5y + y
- 5y²
- 6y
- 6
6y
Hint: y means 1y. So add 5 + 1.