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Soccer Season: Standings and Stats worksheet preview

Worksheet

Soccer Season: Standings and Stats

Practice adding, subtracting, expanding, and factoring linear expressions with rational coefficients through soccer standings and player stats.

Grade 7MathInteractive · Printable

Aligned to7.EE.A.1

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What’s included

  • Single worksheet
  • Auto-graded online
  • 1 Common Core standard
  • Printable answer key
  • 14 questions
  • Classroom-ready

Details

Format
Interactive · Printable
Grade
Grade 7
Subject
Math
Question types
Fill in the blank, Multiple choice, Matching, Short answer

About this worksheet

What students practice

  • Students add and subtract linear expressions with rational coefficients by combining like terms.
  • Students expand and factor linear expressions using the distributive property.
  • Students rewrite expressions representing soccer standings and player statistics.

How to use

Use after teaching equivalent linear expressions. Have students show their algebra on separate paper, then discuss the final factoring error.

Curriculum

Common Core standard covered

7.EE.A.1

Add, subtract, factor, and expand linear expressions with rational coefficients using properties of operations.

Preview

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Name Date

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?
  • A. 5x + 5
  • B. 6x + 3
  • C. x + 3
  • D. 5x + 3
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).
  • A. 5x − 3
  • B. 5x + 3
  • C. 9x − 3
  • D. 5x + 15
4.
A player-stat report combines two estimated totals. Which expression equals (3/4x − 2) + (1/2x + 5)?
  • A. 5/4x − 7
  • B. 5/4x + 3
  • C. 4/6x + 3
  • D. 1/4x + 3
5.
Match each calculation from a season-stat worksheet to its simplified expression.
  1. (2.5x − 4) + (0.5x + 8)
  2. (4x + 1) − (x − 2)
  3. (1/2x + 8) − (3/2x + 2)
  1. A. −x + 6
  2. B. 3x + 4
  3. C. 3x + 3

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?
  • A. −1.5x − 6
  • B. −1.5x − 2
  • C. −1.5x + 6
  • D. 1.5x + 6
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?
  • A. 0.8(0.8x + 3)
  • B. 0.8(x + 1.92)
  • C. 0.8(x + 2.4)
  • D. 0.8(x + 3)
9.
A standings adjustment is −1/4x + 3/2. Which expression correctly factors out −1/4?
  • A. −1/4(x − 3/2)
  • B. −1/4(x − 6)
  • C. −1/4(x + 6)
  • D. −1/4(x − 3/8)
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
  • A. 5x + 15
  • B. x + 15
  • C. x + 5
  • D. x + 1
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?
  • A. 2(2x + 3)
  • B. 4(x + 3)
  • C. 2(2x + 6)
  • D. 2(4x + 6)
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.

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