fractions & stuff
7 8/11
into an improper fraction.
79/11
Solve. Is the difference even or odd?
43 - 22
64 - 4
60 is even
Change 95/15 into a mixed number
6 1/3
TRUE OR FALSE - Explain why and the tell me the correct answer.
4(8y + 7x)
32y + 28x
60xy
FALSE. You cannot combine 32y and 28x because they have different variables. The answer is 32y + 28x
T or F
Factors of 9 are 9, 18, 27, and 36
FALSE! Those are multiples!
(33 - 12) / (42 - 1)
(33 - 12) / (42 - 1)
27 - 12 / 16 - 1
15 / 15 = 1
A number has the following prime factorization. Determine the original number.
2^3 * 3^2
2^3 * 3^2
8 * 9
72
5/7 + 5/21 - 3/14
15/21 + 5/21 - 6/21
20/21 - 6/21
14/21 = 2/3
Solve using the distributive property.
9(8x + 10) + 32
72x + 99
Beginning at 8:30am, tours of the Louvre and the Eiffel Tower start. Tours for the Louvre leave every 15 minutes and tours for the Eiffel Tower leave every 25 minutes. How often do the tours leave at the same time?
75 minutes
3(3 + 1)3 - 3 / (5 - 2)3
3(3 + 1)3 - 3 / (5 - 2)3
3(4)3 - 3 / (3)3
3(64) - 3 / 27
192 - 3 / 27
189 / 27
7
Using exponents, what is the prime factorization of 84?
22 * 3 * 7
4/5(2^2 + 4/5)
Answer as an improper fraction in simplest form!
4/5(4 + 4/5)
4/5(20/5 + 4/5)
4/5(24/5)
96/25
Factor the GCF out of the following.
34x+102y+170
34(1x + 3y + 5)
Two bikers are riding a circular path. The first rider completes a round in 12 minutes. The second rider completes a round in 18 minutes. If they both started at the same place and time and go in the same direction, how many times will they pass each other if they ride for three hours?
Every 36 minutes they pass each other.
5 times
4(2/3)^3
Answer an improper fraction!
4(8/27)
32/27
1/8(7 1/4 * 2)
Answer as a mixed number!
1/8(7 1/4 * 2)
1/8(29/4 * 2)
1/8(58/4)
58/32 = 1 26/32 = 1 13/16
4/5(10x+20) - 2^3
4/5(10x+20) - 2^3
8x + 16 - 8
8x + 8
Customers at a new store are receiving free merch. Every customer will receive a sticker, every 12th customer will receive a 10% off coupon, and every 25 customer will receive a free t-shirt. Jack was the fourth customer to receive all three items. What visitor # was he?
sticker: multiples of 1
coupon: multiples of 12
shirt: multiples of 25
1st customer to receive all 3 is the 300th customer. Therefore Jack was the 1200th customer.
(3/8 + 3/4) / (1/6)
Answer as an improper fraction in simplest form!
(3/8 + 3/4) / (1/6)
(3/8 + 6/8) / (1/6)
9/8 * 6/1
54/8 = 27/4
How many factors of 56 are also multiples of 7?
4 -> 7, 14, 21, 28, 56
5/(3/2+9/4)
5/(3/2+9/4)
5/(6/4 + 9/4)
5/(15/4)
5 * (4/15)
20/15 = 4/3
4/3(6a+12)+3/2(1^4+7)
4/3(6a+12)+3/2(1^4+7)
8a+16+3/2(8)
8a+16+12
8a+28
A yellow light, pink light, and blue light are flashing at different intervals. Every 4 seconds the yellow will flash. The pink light flashes every 10 seconds and the blue light flashes every other time the yellow flashes. When will all three lights flash together?
Yellow: multiples of 4
Pink: multiples of 10
Blue: multiples of 8
All three will flash every 40 seconds.