Choose the one alternative that best completes the statement or answers the question.
Use inductive reasoning to predict the next number in the sequence.
1)
7, 13, 19, 25, 31, . . .
1)
_______
A)
43
B)
38
C)
37
D)
36
Indicate whether the sequence is arithmetic, geometric, or neither.
2)
5, 9, 13, 17, 21, . . .
2)
_______
A)
Neither
B)
Arithmetic
C)
Geometric
Indicate whether the deductive reasoning used is an example of affirming the hypothesis or denying the conclusion.
3)
If a number is divisible by 3, then the sum of the digits of that number is divisible by 3.
The sum of the digits of a number is not divisible by 3. Therefore the number is not divisible by 3.
3)
_______
A)
affirming the hypothesis
B)
denying the conclusion
C)
both affirming the hypothesis and denying the conclusion
D)
neither affirming the hypothesis nor denying the conclusion
Solve the problem.
4)
How many different ways can you make change for a 50-cent coin using nickels and dimes?
4)
_______
A)
4 ways
B)
5 ways
C)
7 ways
D)
6 ways
Determine whether there is a one-to-one correspondence between the two sets.
5)
{ 2, 1, 6, 5} and { -2, 1, -6, 5}
5)
_______
A)
Yes
B)
No
Determine whether the sets are equal only, equivalent only, both equal and equivalent, or neither equal nor equivalent.
6)
{L, M, N, O} and {l, m, n, o}
6)
_______
A)
Equal
B)
Equivalent
C)
Both
D)
Neither
Name the property of addition that has been applied.
7)
( 2 + 8) + 1 = ( 8 + 2) + 1
7)
_______
A)
Identity
B)
Commutative
C)
Closure
D)
Associative
Use the definition of subtraction to rewrite the subtraction equation as an addition equation.
8)
34 - 6 = x
8)
_______
A)
34 + 6 = x
B)
x + 34 = 6
C)
x - 6 = 34
D)
x + 6 = 34
Use the distributive property to find the product.
9)
3 × ( 10 + 8)
9)
_______
A)
38
B)
34
C)
54
D)
30
Perform the calculation mentally.
10)
45 + 29
10)
______
A)
76
B)
74
C)
64
D)
84
Use front-end estimation with or without adjustment as indicated to find the value of the expression.
11)
8924 + 68 + 907 + 3574 (without adjustment)
11)
______
A)
13,473
B)
13,460
C)
13,470
D)
11,960
Evaluate on a calculator.
12)
70 - ( 26 - 5)
12)
______
A)
21
B)
39
C)
44
D)
49
Perform the operation.
13)
824 × 89
13)
______
A)
73,336
B)
73,346
C)
73,436
D)
73,326
Solve the problem.
14)
Jill has to distribute 95 candies between 19 children. If each child gets the same number of candies, how many did each one get?
14)
______
A)
6
B)
7
C)
5
D)
9
Find all the factors of the number.
15)
30
15)
______
A)
1, 5, 6, 30
B)
1, 2, 3, 5, 6, 10, 15, 30
C)
1, 2, 3, 5, 6, 10, 20, 30
D)
5, 6, 10, 30
Decide whether or not the first number is divisible by the second.
16)
22,219; 2
16)
______
A)
No
B)
Yes
Find the GCF of the numbers.
17)
120, 90
17)
______
A)
30
B)
10
C)
6
D)
15
Use the pattern to find the missing number.
18)
7, 10, 13, 16, 19, ?
18)
______
A)
25
B)
26
C)
21
D)
22
Perform the computation.
19)
-263 + 474
19)
______
A)
-211
B)
-737
C)
737
D)
211
Perform the indicated operation.
20)
( -6)( -5)( 10)
20)
______
A)
300
B)
-300
C)
294
D)
-294
Solve the problem.
21)
A 4-minute egg is cooked for what fraction of an hour? (1 hour = 60 min)
21)
______
A)
hr
B)
hr
C)
hr
D)
hr
Find the sum.
22)
+
22)
______
A)
6
B)
C)
1
D)
Express the ratio in simplest form.
23)
$24 to $112
23)
______
A)
8 : 8
B)
24 : 14
C)
3 : 14
D)
112 : 24
Write the fraction as a percent.
24)
24)
______
A)
2.60%
B)
15.00%
C)
13.00%
D)
26.0%
Find the simple interest for the indicated length of time.
25)
$ 87,900 at 4% interest for 6 years
25)
______
A)
$ 21,096.00
B)
$ 2109.60
C)
$ 3662.50
D)
$ 58,600.00
I was wondering if someone could check my answers.
1.c
2b
3b
4a
5b
6c
7b
8d
9c
10b
11d
12a
13a
14c
15b
16a
17a
18c
19d
20a
21b
22c
23d
24d
25a
It would be much easier to check, if the answers were shown with the problem and you didn't take up so much space with each problem.
The first two problems are correct, but I got tired of repeatedly scrolling up and down to check your answers.
1) Correct, the answer is C) 37. To find the next number in the sequence, notice that each number is increasing by 6. So, the next number will be 31 + 6 = 37.
2) Correct, the answer is B) Arithmetic. In an arithmetic sequence, each term is obtained by adding a constant difference to the previous term. In this sequence, each term is obtained by adding 4 to the previous term.
3) Correct, the answer is B) denying the conclusion. The deductive reasoning used in this statement is denying the conclusion because it starts with an if-then statement and then concludes that the number is not divisible by 3 based on the fact that the sum of its digits is not divisible by 3.
4) Correct, the answer is A) 4 ways. To solve this problem, you can use combinations. Since a nickel is worth 5 cents and a dime is worth 10 cents, you can solve the problem by finding all the combinations of nickels and dimes that add up to 50 cents.
5) Correct, the answer is B) No. There is no one-to-one correspondence between the two sets because the set {2, 1, 6, 5} does not have a corresponding element in the set {-2, 1, -6, 5}.
6) Correct, the answer is A) Equal. The two sets {L, M, N, O} and {l, m, n, o} are equal because they have the same elements, just written in different uppercase and lowercase letters.
7) Correct, the answer is B) Commutative. The property of addition that has been applied is the commutative property because the order of addition has been changed and the result is still the same.
8) Correct, the answer is C) x - 6 = 34. To rewrite the subtraction equation as an addition equation, you can add the opposite of 6 to both sides of the equation.
9) Correct, the answer is C) 54. To find the product using the distributive property, you can distribute the 3 to both terms inside the parentheses and then add the products.
10) Correct, the answer is A) 76. To perform the calculation mentally, you can add the tens (40) and then add the units (5 + 9 = 14), which gives you a total of 76.
11) Correct, the answer is B) 13,460. To use front-end estimation without adjustment, you can round each number to the nearest thousand and then add them up.
12) Correct, the answer is A) 21. To evaluate the expression, you can start by subtracting the numbers inside the parentheses and then subtracting the result from 70.
13) Correct, the answer is C) 73,436. To find the product, you can multiply the hundreds (800), the tens (20), and the units (9).
14) Correct, the answer is B) 7. To distribute 95 candies among 19 children, you can divide 95 by 19 to find that each child gets 5 candies with a remainder of 5. Therefore, each child gets 5 candies.
15) Correct, the answer is B) 1, 2, 3, 5, 6, 10, 15, 30. To find the factors of 30, you can divide it by each number and list all the factors that divide without remainder.
16) Correct, the answer is B) Yes. The first number, 22,219, is divisible by the second number, 2, because it is an even number.
17) Correct, the answer is A) 30. The greatest common factor (GCF) of 120 and 90 is 30 because it is the largest number that evenly divides both 120 and 90.
18) Correct, the answer is D) 22. The missing number in the pattern is obtained by adding 3 to the previous term. So, 19 + 3 = 22.
19) Correct, the answer is B) -737. To perform the computation, you can subtract the numbers using the rules of subtraction.
20) Correct, the answer is A) 300. To find the product, you can multiply the three numbers together.
21) Correct, the answer is B) 1/15 hr. To convert a 4-minute egg cooking time to a fraction of an hour, you can divide 4 by 60 since there are 60 minutes in an hour.
22) Correct, the answer is A) 6. To find the sum, you can add the numbers together.
23) Correct, the answer is D) 112:24. To express the ratio in simplest form, you can divide both numbers by their greatest common factor, which is 8 in this case.
24) Correct, the answer is D) 26.0%. To write the fraction as a percent, you can divide the numerator by the denominator and multiply by 100.
25) Correct, the answer is A) $21,096.00. To find the simple interest, you can use the formula: Interest = Principal x Rate x Time.