OwlSheets
← Exit

Soccer Season: Standings and Stats

0 / 14

Soccer Season: Standings and Stats

Rewrite linear expressions without changing what they represent.

Combine Season Stats

Combine like terms. Each question is independent, and x represents the quantity defined in that question.

1.
A league analyst models a team's points in two parts of the season as 3x + 4 and 2x − 1, where x is the number of weeks in each part. Which expression represents their combined points?
Question 1 options
2.
Two players' projected assist totals are 1.5x + 2 and 0.5x + 3, where x is the number of remaining matches. Complete the simplified expression for their combined assists.

(1.5x + 2) + (0.5x + 3) = x +

3.
A standings spreadsheet subtracts a rival's projected points from a team's projected points. Simplify (7x + 6) − (2x + 9).
Question 3 options
4.
A player-stat report combines two estimated totals. Which expression equals (3/4x − 2) + (1/2x + 5)?
Question 4 options
5.
Match each calculation from a season-stat worksheet to its simplified expression.

Rewrite the Formulas

Use the distributive property to expand or factor each expression. For blanks, write only the missing number.

6.
A signed adjustment in a player-rating formula is −3(0.5x − 2). Which expression is its expanded form?
Question 6 options
7.
An analyst scales a season-stat expression by 2/3. Complete the expanded form.

2/3(9x − 6) = x −

8.
A player-stat formula contains 0.8x + 2.4. Which expression correctly factors out 0.8?
Question 8 options
9.
A standings adjustment is −1/4x + 3/2. Which expression correctly factors out −1/4?
Question 9 options
10.
Complete this equivalent form of a player-stat formula.

4.5x + 6 = 1.5(x + 4)

Analyze the Season

Choose and complete equivalent expressions for each situation. Explain the final correction using the distributive property.

11.
The table shows projected season points after x additional weeks. Which simplified expression gives United's points minus Rovers' points?
Projected Season Points
TeamPoints expression
United3(x + 2) + 4
Rovers2x + 5
Question 11 options
12.
Nia's projected playing time is 0.75x + 1.5 hours in each of two season blocks and 0.5x − 1 hours in a third block. Here x is the number of matches in each block, with x at least 2. Complete the simplified expression for her total playing time.

2(0.75x + 1.5) + (0.5x − 1) = x + hours

13.
A team projects 6x + 9 total shots and 2x + 3 shots on target over a season segment. Subtract shots on target from total shots. Which factored expression represents shots not on target?
Question 13 options
14.
Mateo rewrites a player's projected assist total, 0.5x + 4, as 0.5(x + 4). Is his rewrite equivalent? Expand his expression, then write the correct factored form with 0.5 outside the parentheses. Explain why the constant inside must change.