Multiple Choice
Identify the
choice that best completes the statement or answers the question.
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Solve the system of linear equations by graphing.
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1.
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y = 2x – 13
y = 8 – x
a. | (7, 1) | c. | (8, 3) | b. | (6, –1) | d. | (8, 0) |
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2.
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y = –2 x – 1 y =  x + 7
a. | (2, –5) | c. | (4,  ) | b. | (–3, 5) | d. | (7,  ) |
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3.
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y = 2 x + 4 y =  x –
3
a. | (–4, –4) | c. | (3,  ) | b. | (8, 20) | d. | (8,  ) |
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Solve the system of linear equations by substitution. Check your
solution.
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4.
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5.
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6.
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7.
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a. | (4, 24) | c. | (7, 36) | b. | (36, 56) | d. | (2, 22) |
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Solve the system of linear equations by elimination. Check your
solution.
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8.
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9.
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10.
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11.
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Without graphing, determine whether the system of linear equations has one
solution, infinitely many solutions, or no solution.
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12.
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a. | infinitely many solutions | b. | one solution | c. | no
solution |
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13.
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a. | no solution | b. | infinitely many solutions | c. | one
solution |
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14.
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a. | no solution | b. | infinitely many solutions | c. | one
solution |
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15.
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a. | infinitely many solutions | b. | one solution | c. | no
solution |
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16.
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a. | infinitely many solutions | b. | no solution | c. | one
solution |
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Use a graph to solve the equation. Check your solution.
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17.
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3.5x + 5 = 6x – 5
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18.
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0.5x – 1.4 = –0.3x – 8.6
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19.
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–  x +  = – x
+ 1
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Other
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1.
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Extended Response To celebrate their latest victory, the basketball
team orders pizzas and hoagies for the team. Each pizza costs $7 and each hoagie is $5. They order
p pizzas and h hoagies and spend a total of $60. Altogether they order
10 items. a. Write a system of linear equations to represent this
situation. b. How many pizzas were ordered? How many hoagies? c. Suppose the coach has only $42 to spend. Could the team still
order 10 items and spend exactly $42? Explain your reasoning.
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