9th grade · Math · Unit 7 of 17
Expressions
Build, compare and match
What your child practices
Writing an expression for a pattern or a sentence, deciding which expressions are equivalent, expanding brackets, and collecting like terms.
Alaska content standards learning standard: A-SSE.1 · building and interpreting expressions in context
How we explain it
Children can open this short lesson before they practice.
- An expression uses letters and numbers: 3n + 2.
- Equivalent expressions have the same value for every number.
- Expand with the distributive property: 2(x + 3) = 2x + 6.
Example: Expand 3(x + 4). 3 × x = 3x. 3 × 4 = 12. Answer: 3x + 12
Expressions in Alaska
In the Alaska content standards, this is unit 7 of 17 in 9th grade Math, after Number Sets and before Lines & Intersections.
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.
Source: Alaska Department of Education and Early Development
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
Figure n in a pattern uses 4n + 1 tiles. How many tiles does figure 17 use?
answer box
69
Hint: Replace n with 17: 4 × 17 + 1 = 69.
Question 2
Which expression is NOT equivalent to 4x + 20?
- 4(x + 5)
- 4(x + 20)
- 20 + 4x
- x + 3x + 20
4(x + 20)
Hint: Expand each one. 4(x + 5) = 4x + 20, but 4(x + 20) = 4x + 80.
Question 3
Which expression is equivalent to 5(x − 5)?
- 5x − 10
- 5x − 5
- 5x − 25
- x − 25
5x − 25
Hint: Multiply both terms inside the brackets by 5: 5x and 5 × (−5) = −25.
Question 4
If n = 10, what is the value of 6n + 1?
answer box
61
Hint: Replace n with 10: 6 × 10 + 1 = 61.
Question 5
Ana has 6 fewer than 4 times the number of cards Leo has. If Leo has n cards, which expression gives the number Ana has?
- 4n − 6
- 6n − 4
- 6 − 4n
- 4(n − 6)
4n − 6
Hint: "4 times" Leo's number is 4n. "6 fewer" is taken away after that: 4n − 6.
Question 6
Jay has 5 more than 2 times the number of stickers Sam has. If Sam has n stickers, which expression gives the number Jay has?
- 7n
- 2n + 5
- 5n + 2
- 2(n + 5)
2n + 5
Hint: "2 times" Sam's number is 2n. "5 more" is added after that: 2n + 5.