Download Math40(Elementary Algebra) Ch7 practice test

Math40(Elementary Algebra)
Ch7 practice test
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Solve the system of equations by graphing. If there is no solution or an infinite number of solutions, state this.
1) x - y = -3
1)
3
y= x
2
A) No solution
B) (-6, 3)
C) (9, 6)
D) (6, 9)
Solve the system using the substitution method. If the system has no solution or an infinite number of solutions, state
this.
2) y - 4x = 2
2)
4y - x = 5
1 6
1
6
A) - ,
B) - , 5 5
5
5
C) No solution
D) Infinite number of solutions
Solve the problem.
3) The sum of two numbers is 72. Four times the larger number minus three times the smaller number
is 78. What are the numbers?
A) 26, 46
B) 38, 34
C) 30, 42
D) 26, 39
4) The perimeter of a rectangle is six times its width. If the length were increased by 4 inches and the
width by 7 inches; then the perimeter would be 160 inches. Find the width.
A) 138 in.
B) 69 in.
C) 23 in.
D) 46 in.
3)
4)
Solve using the elimination method. If the system has no solution or an infinite number of solutions, state this.
1
1
5) x - y = 1
5)
5
4
2
1
x+ y=3
5
2
A)
25
,1
4
B) -
25
, -2
4
C) 5,
1
1
4
D) No solution
Solve.
6) There were 440 people at a play. The admission price was $3 for adults and $1 for children. The
admission receipts were $740. How many adults and how many children attended?
A) Adults: 150; children: 290
B) Adults: 185; children: 255
C) Adults: 145; children: 295
D) Adults: 290; children: 150
6)
7) Joan has a pocketful of dimes and quarters worth $4.50. If there are 21 coins in all, then how many
are quarters?
A) 5 quarters
B) 16 quarters
C) 7 quarters
D) 21 quarters
7)
Solve the problem.
8) Anne and Nancy use a metal alloy that is 16% copper to make jewelry. How many ounces of an
alloy that is 10% copper must be mixed with an alloy that is 20% copper to form 55 ounces of the
desired alloy?
A) 38 ounces
B) 24 ounces
C) 22 ounces
D) 33 ounces
9) How many liters of 60%-alcohol solution must be mixed with 10 L of 90%-alcohol solution to get a
solution that is 70% alcohol?
A) 2 L
B) 20 L
C) 30 L
D) 3 L
Solve.
8)
9)
10) An orchard operator must dilute 11 quarts of a 60% insecticide solution by adding water. How
many quarts of water should be added to get a mixture that is 2% insecticide?
A) 19 quarts
B) 319 quarts
C) 219 quarts
D) 119 quarts
10)
11) Roberto invested some money at 7%, and then invested $2000 more than twice this amount at 11%.
His total yield after one year was $4570. How much was invested at 11%?
A) $3200
B) $30,000
C) $6000
D) $32,000
11)
Determine whether the ordered pair is a solution of the inequality.
12) (3, 1); 2x + 4y 8
A) No
B) Yes
13) (2, 1); 2x + 4y > 8
A) No
B) Yes
Graph the solutions of the system.
2
12)
13)
14) x - 2y 2,
x+y 0
14)
A)
B)
C)
D)
3
15) 2x + 3y 6,
x - y 3,
y 2
15)
A)
B)
C)
D)
4
16) 5y - 2x
5y + 2x
y
x
16)
-10,
-30,
0,
0
A)
B)
C)
D)
5
Answer Key
Testname: UNTITLED1
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D
A
C
C
A
A
B
C
B
B
D
B
A
A
B
A
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