GCF, LCM, and Fractions
True or False
9 is not a factor of 45
False!
9 x 5 = 45
Tim has 3 apples and 4 oranges. What is the ratio of fruit to apples Tim has?
7 to 3
What is the opposite of 0?
0!
(-0 does not exist!)
4x2 + 3x - 6
3!
What is the area of a parallelogram with a base of 7 centimeters and a height of 9 centimeters?
(you must include the correct units for full credit!)
63 square centimeters
or
63 centimeters squared
What are the first five prime numbers?
2, 3, 5, 7, 11
(these are the most common when finding GCF)
New York to Clevland is 450 miles away. If a car is traveling 50 miles per hour the entire trip, how long will it take to get there?
9 hours!
A fish is swimming 9 meters below sea level and a bird is flying 8 meters above. How far are the animals apart from each other?
17 meters!
What is 4 cubed?
64
(4 x 4 x 4)
What is the area of a triangle with a base of 8 inches and a height of 4 inches?
(you must include the correct units for full credit!)
16 inches squared
or
16 square inches
True or False
17 is a prime number!
True!
the ratio of boys to girls in the Mott hall is 2:3. If there are 100 boys in Mott Hall, how many girls are there?
150 girls!
True or False
|x| = |-x|
True!
What is 3x2 when x = 3 ?
27! NOT 81!
(exponents first, then multiply!)
What is the area of a trapezoid with upper base of 5, lower base of 7, and a height of 10.
(you must include the correct units for full credit!)
60 square inches
Is this a GCF or LCM word problem?
Sarah has 24 pieces of chocolate and 36 lollipops. She wants to make identical treat bags for a party, using all the candy so there are no pieces left over and the same amout of candy is in each bag. How many bags she can make?
GCF!
It doesn't say "greatest" (or anything similar)
BUT
the question is asking how many groups we can make with the same amount of items in each group, another (less obvious) hint for GCF.
There are 86 marbles in a jar. 50% of them are black, how many black marbles are in the jar?
43 black marbles
(50% is half, so you can divide by 2!)
Why is the absolute value of a number always positive?
Because absolute value is the distance from zero and distance is always positive!
3(2x + 4) - 2x
4x + 12
What is the volume of a right rectangular prisim that is 4 inches long, 5 inches high, and 3 inches wide?
(you must include the correct units for full credit!)
60 inches cubed
or
60 cubic inches
What number has the prime factors of 2,2,3,5 ?
60
Rare but there is a chance you will get asked this on the test, just multiply the numbers together!
25% of the students in 603 stay for afterschool. If there are 20 students in 603, how many of them stay for afterschool?
5 students!
25% is a quarter, so you can divide by 4!
Without sketching, if I reflect the point (1,2) over the y-axis, what will the new coordinates be?
(-1,2)
reflection over the y-axis? y-coordinate stays the same!
(make sure to use the correct variables)
m = 15w + 50
What is the surface area of a 3 inch cube?
(you must include the correct units for full credit!)
54 square inches
A cube has 6 faces, each face has an area of 9 square inches. The surface area is (6x9) 54 square inches.