QUESTION BANK ITEMS
H.2A.8 Use linear equations and functions to
represent relationships and solve linear equations,
linear inequalities, systems of linear equations, and
systems of linear inequalities.
Target: Solve systems of linear equations by graphing,
substitution and elimination(combination)
methods.
QUESTION
For the following 4 systems of equations choose the best
method to solve, then justify your answer. Use each
method (graph, substitute, eliminate/combine) at least
once.
Unit: Systems of Linear Equations
and Inequalities
LEVEL OF
DIFFICULTY
ANSWER
Grading Scale:
Choose method (1 pt)
Show work (2 pts)
Justify answer (1 pt)
Answer (1 pt)
3x  6y  9
1. 
4 x  3y  8
(-5, 4)
Combination
2/3

x  2y  2
2. 
3x  y  6
(2, 0)
Substitution
2/3


y  1 x
3.  2

2x  y  10
(4,2)
Graphing
2/3

2x  3y  17
4. 
4  y  x
(-1, -5)
Substitution
2/3

NCSD Math Renewal, Algebra – Systems Question Bank
1/21/2010
QUESTION BANK ITEMS
H.2A.8 Use linear equations and functions to
represent relationships and solve linear equations,
linear inequalities, systems of linear equations, and
systems of linear inequalities.
Target: Use a system of linear equations to find the
best deal.
Unit: Systems of Linear Equations
and Inequalities
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Theatre tickets are $4 for general admission an $3 for
students. During one evening, 240 tickets were sold. The
receipts were $880. How many of each kind of ticket
were sold? Write and solve the system of equations.
160 tickets
2/3
NCSD Math Renewal, Algebra – Systems Question Bank
80 student tickets
1/21/2010
QUESTION BANK ITEMS
H.2A.8 Use linear equations and functions to
represent relationships and solve linear equations,
linear inequalities, systems of linear equations, and
systems of linear inequalities.
Target: Solve systems of inequalities by graphing;
check systems of inequalities.
QUESTION
Unit: Systems of Linear Equations
and Inequalities
ANSWER
LEVEL OF
DIFFICULTY
Graph the system of linear inequalities.

y  3x  1
 1

y  2 x  3
2
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QuickTime™ and a
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
Graph the system of linear inequalities.
3
y  3x

x  y  2

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NCSD Math Renewal, Algebra – Systems Question Bank
QuickTime™ and a
decompressor
are needed to see this picture.
1/21/2010
QUESTION
ANSWER
LEVEL OF
DIFFICULTY
Graph the system of linear inequalities.
3
2x  y  8

x  1
y  2

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decompressor
are needed to see this picture.
QuickTime™ and a
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
Is the point (1, 1) a solution for:
Yes
1
Is the point (-2, 6) a solution for:
No
2
x  y  2

x  y  4
4>4
2x  y  4

x  y  3


NCSD Math Renewal, Algebra – Systems Question Bank
1/21/2010