Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
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| 1. | Which
graph represents the following system of equations?
y =
3x + 3
y = –x – 3
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| 2. | Solve
the following system of equations by graphing.
–4x
+ 3y = –12
–2x + 3y = –18
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| 3. | What
is the solution of the system of equations?
y =
3x + 7
y = x – 9 a. | (–1,
–10) | b. | (–17,
–8) | c. | (4,
19) | d. | (–8,
–17) | | | | | | | | |
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Graph each system. Tell whether the system has no solution, one
solution, or infinitely many solutions.
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| 4. | y = x + 4
y – 4 = x a. | infinitely many
solutions | b. | no solutions | c. | one
solution | | |
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| 5. | y = 2x – 3
y =
–x + 3 a. | one solution | b. | no
solutions | c. | infinitely many solutions | | |
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Solve the system of equations using substitution.
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| 6. | y = 2x – 10
y =
4x – 8 a. | (3, 4) | b. | (–1, –12) | c. | (–4, –17) | d. | (3, –4) | | | | | | | | |
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| 7. | 3x + 2y = 7
y =
–3x + 11 a. | (6, –3) | b. | (6, –7) | c. | | d. | (5,
–4) | | | | | | | | |
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| 8. | The
sum of two numbers is 82. Their difference is 24. Write a system of equations that describes this
situation. Solve by elimination to find the two numbers. a. | x +
y = 82
x – y = 24
48 and
24 | c. | x +
y = 24
y – x = 82
48 and
30 | b. | x –
y = 82
x + y = 24
52 and
30 | d. | x +
y = 82
x – y = 24
53 and
29 | | | | |
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Solve the system using elimination.
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| 9. | 3x + 3y = –9
3x –
3y = 21 a. | (3,
–6) | b. | (–5,
2) | c. | (3,
3) | d. | (2,
–5) | | | | | | | | |
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| 10. | 3x – 4y = –24
x +
y = –1 a. | (–4, 3) | b. | (0, 6) | c. | (3, 4) | d. | (4, 3) | | | | | | | | |
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| 11. | 3x – 4y = 9
–3x
+ 2y = 9 a. | (3,
9) | b. | (–27,
–9) | c. | (–3,
–6) | d. | (–9,
–9) | | | | | | | | |
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| 12. | A jar
containing only nickels and dimes contains a total of 60 coins. The value of all the coins in the jar
is $4.45. Solve by elimination to find the amount of nickels and dimes that are in the
jar. a. | 30 nickels and
28 dimes | c. | 29 nickels and
31 dimes | b. | 31 nickels and 29 dimes | d. | 30 nickels and 32 dimes | | | | |
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| 13. | A
motorboat can go 8 miles downstream on a river in 20 minutes. It takes 30 minutes for the boat to go
upstream the same 8 miles. Find the speed of the current. a. | 20
mph | b. | 16
mph | c. | 24
mph | d. | 4
mph | | | | | | | | |
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| 14. | At
the local ballpark, the team charges $5 for each ticket and expects to make $1,400 in concessions.
The team must pay its players $2,000 and pay all other workers $1,600. Each fan gets a free bat that
costs the team $3 per bat. How many tickets must be sold to break even?
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Short Answer
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| | 15. | Two
cars leave town at the same time in the same direction. One travels 35 mi/h and the other 40
mi/h. In howm many hours will they be 15 miles apart?
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| | 16. | Shirley is 21 years older than Laura. In six years, Shirley will be twice as old
as Laura. How old are they now?
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