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SHORT ANSWER. Write the word or phrase that best completes each statement or answers the
question. Show any appropriate steps.
Find all the factors of the number.
1) 56
Work: 56=2*2*2*7=23*7
So factors are: 1,2,4,7,8,14,28, 56
Answer: 1,2,4,7,8,14,28, 56
Find all values of the missing digit that make the statement true.
2) 4,3_6 is divisible by 4.
Work:
The last 2 number must be a multiple of 4 so last 2 digits can be:
16,36,56,76 and 96
Answer: 1,3,5,7,9
Identify the number as either prime or composite, and explain.
3) 113
Factors of 113 are 1 and 113 so:
Answer: 113 is prime
Construct a factor tree for the given number.
4) 190
190=2*5*19
Tree:
190
/
|
10
19
/ |
2 5
Find the prime factorization of the number, and write it in exponent form.
5) 198
198=2*99=2*3*33=2*3*3*11=2*32*11
Answer: 2*32*11
Find the GCF of the numbers.
6) 120, 90
120=2*2*2*3*5=23*3*5
90=2*3*3*5=2*32*5
GCF = 2*3*5=30
Answer: 30
Find the least common multiple for the numbers.
7) 27, 63
27=33
63=3*3*7=32*7
LCM=33*7= 189
Answer: 189
Use the least common multiple or greatest common factor to solve the problem.
8) Mark has 153 hot dogs and 261 hot dog buns. He wants to put the same number of
hot dogs and hot dog buns on each tray. What is the greatest number of trays Mark
can use to accomplish this?
153=3*3*17=32*17
261=3*3*29=32*29
GCF=32=9
Answer: 9 trays
Provide the appropriate response.
9) What is the greatest prime number you must consider to test whether 5141 is prime,
and why?
We can check check from the first prime number (2) to the greatest integer less than
5141
because if we check with a prime greater than 5141 the others factors are less
than5141
5141 = 71.7 (aprox) so the answer is 71
Perform the computation.
10) -3 + ( -20) =-3-20=-23
Answer: -23
11) ( -20) - ( -1) =-20+1=-19
Answer: -19
Write the subtraction as an addition.
12) ( -14) - ( -29) =-14+29=15
Answer: 15
Compute the value of the given expression.
13)
+
=18+20=38
Answer: 38
14)
=|-10|=10
Answer: 10
List the numbers in increasing (ascending) order.
15) -2, 13, 0, -22
Answer: -22, -2, 0, 13
Use the pattern to find the missing number.
16) 29, 25, 21, 17, 13, ?
Numbers are decreasing by 4 so the last number is 13-4=9
Answer: 9
Solve the equation.
17) 17 = -27 + n
17+27=n Answer: n=44
n=44
Solve the problem.
18) The temperature at the South pole was -6° at 8 am. At 3 pm, it was 45°. By how
many degrees did the temperature rise?
45-(-6)=45+6=51
Answer: by 51°
Evaluate the expression.
19) -8x + 8y, for x = 8 and y = -1
-8(8)+8(-1)=-64-8=-72
Answer: -72
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the
question.
Determine whether the statement is true, false, or sometimes true.
20) If both x and y are integers and x > y,
then
>
.
A) Sometimes true
B) True
C) False
Answer: A