Multiple Choice
Identify the
letter of the choice that best completes the statement or answers the question.
|
|
|
1.
|
Find a solution to the following system of equations.   a. | (–8, –15) | b. | (–2, –15) | c. | (0, 1) | d. | (2,
5) |
|
|
|
2.
|
Which graph represents the following system of equations?
y =
3x + 3
y = –x – 3
|
|
|
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) |
|
|
|
4.
|
Find the value of b that makes the system of equations have the solution
(3, 5).
y = 3x – 4
y = bx + 2
|
|
|
Graph each system. Tell whether the system has no solution, one
solution, or infinitely many solutions.
|
|
|
5.
|
y = x + 4
y – 4 = x
a. | infinitely many solutions | b. | no solutions | c. | one
solution |
|
|
|
6.
|
y = 2x – 3
y = –x + 3
a. | one solution | b. | no solutions | c. | infinitely many
solutions |
|
|
|
Solve the system of equations using substitution.
|
|
|
7.
|
y = 2x + 3
y = 3x + 1
a. | (–2, –1) | b. | (–1, –2) | c. | (2, 7) | d. | (–2,
–5) |
|
|
|
8.
|
y = 2x – 10
y = 4x – 8
a. | (3, 4) | b. | (–1, –12) | c. | (–4,
–17) | d. | (3, –4) |
|
|
|
9.
|
y = x + 6
y = –2x – 3
a. | (1, 7) | b. | (–3, 3) | c. |  | d. | (4, –11) |
|
|
|
10.
|
3 y = –  x + 2 y = – x +
9 a. | (3, 6) | b. | (20, –4) | c. | (10, –1) | d. | (–1,
8) |
|
|
|
11.
|
y = 4x + 6
y = 2x
a. | (–3, –6) | b. | (3, 6) | c. | (6, 3) | d. | (1,
2) |
|
|
|
12.
|
3x + 2y = 7
y = –3x + 11
a. | (6, –3) | b. | (6, –7) | c. |  | d. | (5, –4) |
|
|
|
Solve the system using elimination.
|
|
|
13.
|
6x + 3y = –12
6x + 2y = –4
a. | (10, –16) | b. | (2, –8) | c. | (–2, 8) | d. | (–10,
16) |
|
|
|
14.
|
2x – 2y = –8
x + 2y = –1
a. | (–14, 1) | b. | (1, 5) | c. | (–3, 1) | d. | (0,
4) |
|
|
|
15.
|
3x + 3y = –9
3x – 3y = 21
a. | (3, –6) | b. | (–5, 2) | c. | (3, 3) | d. | (2,
–5) |
|
|
|
16.
|
3x – 4y = –24
x + y = –1
a. | (–4, 3) | b. | (0, 6) | c. | (3, 4) | d. | (4,
3) |
|
|
|
17.
|
x + 2y = –6
3x + 8y = –20
a. | (–1, –4) | b. | (–4, 4) | c. | (–4, –1) | d. | (3,
1) |
|
|
|
18.
|
–10x – 3y = –18
–7x –
8y = 11
a. | (–7, –10) | b. | (–4, 3) | c. | (3, –4) | d. | (2,
–1) |
|
|
|
19.
|
5x = –25 + 5y
10y = 42 + 2x
a. | (–1, 2) | b. | (–1, 4) | c. | (4, –1) | d. | (5,
10) |
|
|
|
20.
|
3x – 4y = 9
–3x + 2y = 9
a. | (3, 9) | b. | (–27, –9) | c. | (–3, –6) | d. | (–9,
–9) |
|
|
|
21.
|
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 |
|
|
|
22.
|
By what number should you multiply the first equation to solve using
elimination?
–3x – 2y = 2
–9x + 3y = 24
|
|
|
23.
|
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 |
|
Short Answer
|
|
|
24.
|
Two cars leave town at the same time going in opposite directions. One of
them travels 60 mi/h and the other 30 mi/h. In how many hours will they be 150 miles
apart?
|
|
|
25.
|
An automobile dealer sold 180 vans and trucks at a sale. He sold 40 more
vans than trucks. How many of each did he sell?
|
Extra Credit
|
|
|
26.
|
Wilma is 13 years older than Bev. In nine years, wilma will be twice as
old as Bev. How old is Bev?
|