Ratio and Proportional Relationships
Tim and Travis both wrestled in a meet. For every pin Tim had, Travis had 2. What is the ratio of pins Tim had to Travis?
1:2
Tim had 1
Travis had 2
Travis : Tim
1 : 2
Solve the following equation:
22.345 + 7.12 =
29.465
When adding decimal points, you must line up the decimal, then add your numbers like normal.
Use the Order of Operations to solve:
23 + (22 - 1) + 30 x 12
386
P E MD AS
Parentheses first, do your exponent inside the parentheses first then the subtraction.
Multiplication and Division from left to right, 30 x 12
Then Addition and Subtraction from left to right, 23 + 3 then 26 + 360
Kaidyn is making a box in the shape of a rectangular prism to keep her drawings in. She makes the box 2ft tall by 3ft wide by 5ft long. What is the volume of Kaidyn's box?
30 ft3
V = LxWxH
V = 2x3x5
V= 6x5
V= 30
What is a variable?
A variable is a letter or symbol that represents a number.
Isabelle and Autumn both caught pop flies at their softball game. For every 6 balls Autumn caught Isabelle caught 3. What is the Basic Ratio for balls caught by Autumn to balls caught by Isabelle?
2:1
Autumn caught 6, Isabelle caught 3; 6:3
Both numbers are dividable by 3, 3 goes into 6 twice and 3 goes into 3 one time.
Solve the fraction equation below
3/5 x 2/9 =
6/45 or 2/15
Multiply across your numerator and denominator.
6 and 45 are factors of of 3, so you can divide by 3 to reduce your fraction.
An equation is shown below.
12 - 9 + c = 12
What value of C would make the equation true?
A. 0
B. 3
C. 9
D.12
C. 9
When plugged in for c;
12 - 9 + 9 = 12
3+9=12
12=12
Ally's Girl Scout Troop is building a community garden. They want the garden to be 20 feet long and 15 feet wide. What is the area of the garden?
300 ft2
A=length x Width
A= 20 x 15
A= 300 ft2
Owen is making a display for his Buffalo Bills memorabilia to go in. The display has to be big enough for everything to fit and be visible so he builds it to be 200 ft tall, 40 ft wide, and and 80 ft long. What is the total volume of his display?
640,000 ft 3
V= LxWxH
V= 200 x 40 x 80
Naomi and Abby are making bookmarks. Naomi makes 25 bookmarks. Abby makes m more bookmarks than Naomi. Which expression below represents the total number of bookmarks Naomi and Abby make?
A. 25 +(25+m)
B. 25 + 25m
C. 25 + m
D. 25m
A. 25 +(25+m)
Marcus has two electric train sets: A and B. Each train is on its own circular track. He starts both trains at the same time. Train A returns every 12 seconds and Train B returns every 9 seconds. If the trains continue traveling, what is the least amount of time, in seconds, that both trains will arrive at the starting points at the same time?
36 seconds
Find your least common multiple!
9: 9,18,27,36....
12: 12,24,36....
Which of the following expressions is equivalent?
A. 3x+21 and x+x+x
B. 15-5x and 4(x-3)
C. 2(x+10) and 2x+20
D. 3x+4x and x+x+x+x+x
C. 2(x+10) and 2x+20
When using the distributive property in the first expression you will find the two to be equivalent because 2 x X is 2x and 2 x 10 is 20 leaving you with 2x+10.
The area of a right triangle is 2/5ft2 and the height is 6/5ft. What is the measure of the base of the triangle?
2/3 ft.
A=1/2 BxH
2/5= 1/2 B x 6/5
Divide 2/5 by 6/5 and you will get 1/3.
Multiply 1/3 by 2 to get your final answer of 2/3 ft.
What is the formula for:
Area of a Trapezoid
Circumference
Perimeter
Area of a Trapezoid = b1 + b2, Divided by 2 , x H
Circumference= 3.14 x D
Perimeter= S+S+S+S
David is saving up for a new telescope to use to study patterns of the moon. For every $20.00 David saves his dad gives him $10.00 to add to his fund. If David saved $100.00, how much money would his dad give him? How much money would he have in total?
$50.00 ; $150
David : Dad
$20 : $10
$100 : $50
Aubrey's church passed out goodie bags at the local grocery store last Saturday. One group received 28 bags. A second group received 68 bags. If each person entering the stadium received the same number of bags, what is the greatest possible number of bags that each person could have received?
4
You are looking for the GCF.
Write out the factors for each number
28 (1,2,4,7,14,28)
68 (1,2,4,17,34,68)
Ellie has a coupon for $10.25 off any soccer ball online. If the original price, in dollars, of the soccer ball is p and the discounted price, in dollars, is d, write an equation you can use to find the discounted price of Ellie's new soccer ball.
d = p - $10.25
Kylie is making a barn with a volume of 3,750 ft3. The barn is 25 ft tall and 10 ft long, what is the width of Kylie's barn?
She also wants to fence her pasture which is 25 ft long and 17 ft wide, How much fencing will Kylie need to fence her pasture if it is the shape of a rectangle?
Part 1: W=15 ft
V=LxWxH
3,750=10xWx25
Divide 3,750 by 10 and 25 and you will get W=15
Part 2: 84 ft of fencing
Kylie is looking for the perimeter of her pasture to fence.
P= S+S+S+S
P= 25 + 25+ 17+17
P= 84 ft
Combine all like terms
6(3x+8)+32+12x
30x+80
Use the distributive property to get 18x+48+32+12x then combine all terms
Joie has a Draco Malfoy patch collection. She keeps 7 of her Draco patches in a box, which is only 5% of her entire collection. What is the total number of patches in Joie's collection?
140 patches.
Make your ratio
7 patches : 5%
? : 100%
5 x 20 gets us to 100 on the right side of our ratio
7 x 20 = 140
What is 5/8 as a decimal?
0.625
DIVIDE!
5 divided by 8 = 0.625
Emma is ordering lunch for her and some friends. The cost of each lunch is $6.25. There is also a one-time delivery fee of $3.50. What expression could Emma use to find the cost of ordering, n, lunches? Use this expression to find the total cost of ordering 5 lunches.
$34.75
Each lunch cost $6.25 and there is a $3.50 one time fee for delivery.
$6.25n + $3.50, now use this expression to plug in 5 for n and solve.
6.25 x 5 = 31.25
31.25 +3.50 = 34.75
Spencer's Converse collection has grown quite large the last few years! Each of her Converse boxes have a volume of 10 2/3 in3. Each box has a length of 4 in and a width of 1 1/3in. Spencer stacked eight boxes on top of one another. What is the height, in inches, of the stacked boxes?
Height of the stacked boxes will be 16 in.
V=LxWxH
10 2/3 = 4 x 1 1/3 x H
Divide the Volume by the L and W, this will give you 2 for the height.
2 x 8 (the amount of stacked boxes)= 16 in tall
Teagan is raising money to buy more chickens. She is selling hot dogs outside the local grocery store to earn the money. Teagan has earned $140.00 by selling 56 hot dogs. Using the same cost of one hot dog, how many more hot dogs would Teagan have to sell to earn $175.00?
14 more hot dogs.
Use the ratio you have in order to create a basic ratio to find the price of one hot dog.
$140 : 56
Make it basic by dividing by 56 on both sides
$2.50: 1
Now we can think about what times $2.50 will get us to $175? Multiply both sides of your basic ratio by this number (70)!
Now we have the ratio $175:70 which means we have to sell a total of 70 hot dogs in order to earn $175.
70-56=14