DOC - Thirteen

advertisement
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.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 yintercept” 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?
A.
B.
C.
D.
(3, 4)
(3, 6)
(7, 2)
(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.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 yintercept” formulas. Explain the significance of a positive, negative, zero, or undefined slope.
(Solution: D)
(continued next page)
2

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)
3

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?
A.
B.
C.
D.
y
y
y
y
= x
= 2x
= x +2
= 2x + 2
(Solution: B)
(continued next page)
4

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?
A. y =
x+4
B. y =
x–6
C. y =
x+4
D. y =
x–6
(Solution: A)
(continued next page)
5

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 yintercept" 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?
A.
B.
C. D. (Solution: D)
6
Download