Math in Videogames: Sample Related End-of-Course (EOC) Questions

These sample questions, selected from state end-of-course exams, cover the same algebraic concepts explored in the Math in Videogames lesson.

  • Massachusetts 2009 Spring Release, Mathematics - Grade 10

Question 29: Multiple Choice
Reporting Category: Patterns, Relations, and Algebra
Standard: 10.P.2Demonstrate an understanding of the relationship between various representations of a line. Determine a line’s slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graphor a geometric description of the line, e.g., by using the “point-slope” or “slope y-intercept”formulas. Explain the significance of a positive, negative, zero, or undefined slope.

The slope of a line is . The line contains the point (6,5). Which of the following are the coordinates of another point on the line?

  1. (3, 4)
  2. (3, 6)
  3. (7, 2)
  4. (7, 8)

(Solution: A)

(continued next page)

  • Massachusetts 2009 Spring Release, Mathematics - Grade 8

Question 16: Open Response
Reporting Category: Patterns, Relations, and Algebra
Standard: 10.P.2Demonstrate an understanding of the relationship between various representations of a line. Determine a line’s slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graphor a geometric description of the line, e.g., by using the “point-slope” or “slope y-intercept”formulas. Explain the significance of a positive, negative, zero, or undefined slope.

(Solution: D)

(continued next page)

  • North Carolina 2007 Algebra I EOC Released Items

Question 5: Multiple Choice

Thinking Skill: Analyzing

Goal 4 Objective 4.01: Use linear functions or inequalities to model and solve problems; justify results. Solve using tables, graphs, and algebraic properties. Interpret constants and coefficients in the context of the problem.

(Solution: A)

(continued next page)

  • California Standards Test: Algebra I Released Test Questions 2007 c 2009

Question 30: Multiple Choice

Reporting Cluster: Graphing and Systems of Linear Equations

Standard 6.0: Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4)

Which equation best represents the graph above?

  1. y = x
  2. y = 2x
  3. y = x + 2
  4. y = 2x + 2

(Solution: B)

(continued next page)

  • California Standards Test: Algebra I Released Test Questions 2008 c 2009

Question 31: Multiple Choice

Reporting Cluster: Graphing and Systems of Linear Equations

Standard 6.0: Students graph a linear equation and compute the x- and y-intercepts (e.g., graph 2x + 6y = 4)

Which equation represents the line shown in the graph below?

  1. y = x + 4
  1. y = x – 6
  1. y = x + 4
  1. y = x – 6

(Solution: A)

(continued next page)

  • Massachusetts 2009 Spring Release, Mathematics - Grade 10
    Question 35: Multiple-Choice
    Reporting Category: Patterns, Relations, and Algebra
    Standard: 10.P.2 - Demonstrate an understanding of the relationship between various representations of a line. Determine a line's slope and x- and y-intercepts from its graph or from a linear equation that represents the line. Find a linear equation describing a line from a graph or a geometric description of the line, e.g., by using the "point-slope" or "slope y-intercept" formulas. Explain the significance of a positive, negative, zero, or undefined slope. (AI.P.5)

A line is shown on the coordinate grid below.

Which of the following best represents the slope of the line?

  1. -
  1. -

(Solution: D)

1