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1.
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Solve the system  by graphing.
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2.
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What value of b will make the system  and  intersect at the point  ?
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3.
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Mr. Frankel bought 5 tickets to a puppet show and spent $28. He bought a
combination of child tickets for $2 each and adult tickets for $8 each. Which system of equations
below will determine the number of adult tickets, a, and the number of child tickets,
c, he bought?
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4.
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Solve  by substitution. Express your answer as an
ordered pair. a. | ( , 0) | c. | ( ,  ) | b. | ( , –2) | d. | (  ,  ) |
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5.
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Solve  by substitution. Express your answer as an
ordered pair. a. | ( , –2) | c. | ( ,  ) | b. | (  ,  ) | d. | ( ,
–2) |
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6.
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Write an equation that is the sum of the first equation and two times the second
equation. Combine all like terms on both sides of the equation.
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7.
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Solve  by elimination. Express your answer as an
ordered pair. a. | (1, –12) | c. | (–5, 10) | b. | (–5, –30) | d. | (1, 18) |
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8.
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Solve  by elimination. Express your answer as an
ordered pair. a. | (21, –17.5) | c. | (21, –35) | b. | (1, –8.5) | d. | (1, –5) |
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9.
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Kaylee wants to find an exact solution to the system shown. Which method would
be the most straightforward for her to use?  a. | This system has no solution so the method selected does not
matter. | b. | The substitution method because you can easily solve one equation for a
variable. | c. | The graphical method because it gives a visual representation of the
solution. | d. | The elimination method because one variable in each equation has the same
coefficient. |
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10.
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To solve the system shown using elimination, Kyle say he uses multiplication.
Bonnie says she uses division. 
Part A: Can both
approaches be successfully applied? Explain.
Part B: Solve the system using your
preferred method. Explain why you prefer the method you used.
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11.
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Which system has infinitely many solutions?
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12.
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Lila graphed two linear functions,  and  ,
as shown. Use the graph to find the approximate solution to the equation  .  a. | 1.6 | c. |  | b. | 0.6 | d. |  |
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13.
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Tony has $16 to buy apples and bananas for a fruit salad. Apples cost $2 per
pound and bananas cost $1 per pound. Write and graph an inequality to describe the situation. Then
give two possible combinations of pounds of apples and bananas that Tony can buy.
a. | 2a + b ³ 16; 2 pounds of apples and 17
pounds of bananas or 4 pounds of apples and 11 pounds of bananas.
| c. | 2a + b £ 16; 2 pounds of apples and 17
pounds of bananas or 4 pounds of apples and 11 pounds of bananas.
| b. | 2a + b ³ 16; 2 pounds of apples and 12
pounds of bananas or 4 pounds of apples and 3 pounds of bananas.
| d. | 2a +
b £ 16; 2 pounds of apples and 12 pounds of bananas or 4
pounds of apples and 3 pounds of bananas.
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14.
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Graph the inequality  .
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15.
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The graph shows the relationship between x and y.  Write an inequality that describes the relationship between x and
y.
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16.
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Graph the solutions of the linear inequality  .
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17.
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Graph the system of linear inequalities  .
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18.
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An electronics store makes a profit of $53 for every standard DVD player sold
and $77 for every portable DVD player sold. The manager's target is to make at least $320 a day
on sales from standard and portable DVD players. Write an inequality that represents the numbers of
both kinds of DVD players that can be sold to reach or beat the sales target. Let s represent
the number of standard DVD players sold and p represent the number of portable DVD players
sold. Then graph the inequality.
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19.
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What value of a in the system of inequalities  will
generate this graph? 
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20.
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Members of a school boosters club want to sell at least 9 school jackets and at
least 17 caps during a fundraiser to cover their regular club expenses. The club will make $13 for
every jacket sold and $3 for every cap sold. The club also wants the total amount of money earned to
be at least $310.
Part A: Write a system of inequalities that shows how many
jackets and caps the club members need to sell to meet the conditions described above. Let x
represent the number of school jackets sold and let y represent the number of caps
sold.
Part B: Will the club meet its goal of earning $310 if it sells 14 jackets
and 35 caps? Explain how you know. How much above or below its goal will the club be?
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