Modules 1-2
Unit Rates, Proportionality, Percentages
Unit Rates, Proportionality, Percentages
Modules 3-4
Integers & Rational Numbers, OOO
Integers & Rational Numbers, OOO
Modules 5-7
Algebraic Expressions, Equations & Inequalities
Algebraic Expressions, Equations & Inequalities
Modules 8-9
Triangles, Circles, & Geometry
Triangles, Circles, & Geometry
Modules 10-11
Probablility & Statistics
Probablility & Statistics
Msc Math
100
Give at least 3 academic terms for the letter "k" in the equation y=kx.
What is: unit rate, COP, Constant of proportionality, rate of change
100
Define what an Interger and a Rational number is
An Interger is a whole number, denoted as either positive or negative; a rationional number is either a fraction or a decimal, and can be denoted as positive or negative.
100
What are the steps to solving a 2 step equation for the unknown variable "x"?
Answers may vary slightly by teaching method
1) ensure y=mc+b format
2) remove the constant by +/- from both sides
2a) rewrite the equation
3) remove the coefficient by multiplying or dividing from both sides
3a)rewrite as x= answer
100
what is the formula for the area of a circle? SemiCircle?
A= pi r^2
A=(pi r^2)/2
100
What are the 2 most important rules that makes a sample of a population valid?
Must be unbiased and be representative of the entire targeted population/demographic.
100
A group of friends buy concert tickets. The total cost for 5 tickets is $200. If the price for each ticket stays the same, how much would 8 friends have to pay for their tickets?
$320
200/5=40
40x8=320
200
Alana is designing a new recipe for fruit salad. The recipe calls for 3/4 cup of honey, but Alana decides to double the recipe. How much honey will she need?
6/4 C
1.5 or 1 1/2 Cup or 1 2/4Cup
200
Simpify the following expressions:
1) 3 + (-7)
2) -5 + 9
3) -6+(-4)
4) 0 + (-12)
1) -4
2) 4
3) -10
4) -12
200
Explain the difference between an expression, an equation, and an inequality.
Answers may vary by teaching method and preferred academic vocabulary, but the general answer is:
an expression looks like 5x+4 and is not set equal to anything
an equation contains the equal sign 20=3x-2
an inquality looks just like an equation except contains less than, more than, less than or equal to, more than or equal to signs in lieu of an equal sign
200
How many degrees do the interior angles of a triangle need to add up to and how many triangles can that measurement make?
180*; many/infinite
200
A number cube with faces labeled 1-6 is rolled. What is the probability of rolling a number greater than 4? What is its compliment
1/3, 2/3
200
What are the 2 formulas for finding the Circumference of a circle?
C= pi x D
C = 2 pi r
where D=diameter and r=radius
300
Felicia is buying a kayak that costs k dollars. The kayak is on sale for 33% off. Write an expression that could determine the cost of the Kayak?
(k - 0.33k) or (0.67k)
300
Solve:
-12 + 4.5
-7.5
300
Sophia is working on simplifying her algabraic expression to help her solve for a variable in a science problem. She has the expression 3(2x + 4) - 5x. Sophia wants to know if this expression can be simplified, and if so, what the simplified expression looks like. Simplify the expression for her and explain how you accomlished it.
x+12
distribute:
3*2x = 6x and 3*4 = 12
6x-5x=x
combine x+12
300
What is the triangle side rule and what kind of triangle does it make (unique, multiple, or none)?
the sum of the 2 shortest sides must exceed the length of the longest side; unique
300
What two terms are the best measure of center in a data set
Mean, Median
300
A turtle walks 3/2 miles in 1/2 hours. What is the turtles unit rate in miles per hour?
D
400
Emily is baking cookies for a charity even. The original recipe calls for 3 cups of sugar and 2 cups of flour to make 24 cookies. She wants to adjust the recipe to make 72 cookies. How many cups of flour will Emily need to make 72 cookies?
9c sugar, 6c flour
400
What is this number, written as a decimal?
5 4/5
5.8
400
Write an expression that is equivalent to
2x - 4y -10x + 8y
Answers may vary:
-8x + 4y
-4(2x-y)
4(-2x + y)
4(y-2x)
4y - 8x
400
The side lengths of a triangle are shown. Which expressions represent the perimeter of the triangle?
A) 2x - 2 D) 2(x + 4 + 2x -10)
B) 2x - 10 E) 2(x + 4) + 2x -10
C) 4x - 2
C, E
400
What does the 'mode' mean in regards to a data set?
Can it be used to measure center
The type of instance that occurs the most often in a data set.
No
400
A cook at a restaurant is calculating the amounts of ingredients needed to make soup for the next 5 days. For each of these days, she will use 2 1/8 pounds of carrots and y pounds of celery. She will use a total of 19 3/8 pounds of carrots and celery to make the soup. Which equation shows how to find the number of pounds of celery, y, she will use to make the soup each day?
D
500
Ted makes $12 and hour delivering pizzas. If he gets a 5% raise, how much will he make delivering pizzas for four hours?
$50.40
12 x 1.05 (100% of the orignal pay + 5% raise =105%?100=1.05)
=50.4
500
A submarine is at a depth of 120 meters below sea level. It ascends 45 meters, then descends 25 meters. What is its final position relative to sea level?
100 meters below sea level
-100 meters
500
A school is organizing a field trip. The cost of renting the bus is $200. Each student must pay $15 to participate. The school has a budget of $1,200 for the field trip. How many students can participate in the field trip without exceeding the budget?
-Write and solve an equation to find the number of students.
15x + 200 < 1200
15x< 1000
x< 66.6...
They can take 66 students because you cannot have a partial person
500
The angles shown are supplementary. What is the value of x?
35 degrees
500
The weights, in pounds, for seven golden retrievers and seven german shepards are listed below:
*Golden Retrievers: 60,62,66,68,69,70, 75
*German Sherpards: 49,54,62,65,74,79,88
Which dog has the highest mean? What is the difference between the mean of the two dogs? (Round to the nearest hundredth)
German Shepard,
difference of 0.15lbs
500
Amelia divided these mixed numbers:
C
600
A ched is preparing a large batch of chicken soup for a special event. The recipe calls for 3 cups of vegetable broth for every 5 cups of chicken broth. The the chef plans to use 45 cups of vegetable broth, how many cups of chicken broth will be needed to maintain the ratio of vegetable broth to chicken broth?
3:4 45:x
3/4 45/x
45/3=15
4x15=75
x=75
600
Sarah and her classmates are working on a class project. The class fund started with a balance of $150. Over the course of the project, they made the following transactions:
*Sarah donated $30 to the fund
*Mike withdrew $45 to buy materials
*The class recieved a $60 donation from a local business
*Emily withdre $25 to cover printing costs
*The class made an additional contribution of $100 to help pay for refreshments
What is the current balanced of the class project fund?
$180
600
Tom has a savings account with an initial deposit of $500. Each month, he deposts an additional $50 into the account. After t months, the balance is $800. Write and solve an equation to represent the situation and find the value of t.
50t + 500=800
-500 -500
50t=300
/50 /50
t=6 months
600
Jordan is making a scale model of the Hanging Gardens of Babylon, one of the seven wonders of the ancient world. The actual gardens were said to be 24.4 meters tall. Jordan uses a scale of 1 cm = 0.5m
To the nearest tenth of a centimeter, what should be the height of Jordan's model?
48.8 cm tall
24.4m/0.5m=48.8 cm
600
At a local gym, a random sample of 75 members took a survey about their favorite type of exercise. There are 350 total gym members. Based on the results of the survey, what is the most reasonable estimate for the number of gym members who prefer running on the treadmill?
70
15/70=70/350
600
What term represents the best estimate of spread in a data set?
interquartile range; 1st standard deviation of a data set
700
On a school field trip there are 36 boys and a number of girls. If 40% of the students are girls, how many girls are on the field trip?
24
36=60%
60%=0.6
36/.6=60 students total
60-36=24
700
A scuba diver takes photographs of fish swimming below the surface of the water.
-The diver descends from the surface at a rate of 3 feet every 2.5 seconds.
-The diver takes 35 seconds to reach the depth where the fish are located.
How many feet below the surface are the fish located?
42 feet
700
If x = 6, which inequality is true? Select all that apply
B
700
A cardboard box is shaped like a cube. The length of each side is 15in.
What is the surface ares of the box in square inches?
What is the volume of the box in cubic inches?
1,350 in^2
3,375 in^3
700
Camilla spins a game spinner 1,800 times. The spinner is divided into six equally spaced sections, numbered 1-6. Theoretically, how many times should she expect to spin a 2?
1/6=300/1800
6*300=1800
1*300=300
700
A rectangular park has a width of 80m and a length of 120m. Inside the park, there is a circular garden with a radius of 25m The area of the garden is to be subntracted from the total area of the park to find the remaining space for walking and play areas. Calculate the remaining area in the park after subtracting the area of the garden.
7,636.5 m^2
800
Marcus drew a scale drawing of a rectangular park in his neighborhood. On his drawing, the length of the park is 8 inches and the width of the park is 6 inches. The key on his drawing shows 1 inch=20 feet. What is the actual dimensions and area of the park?
160ft x 120ft
=19, 200 ft^2
800
Evaluate:
-5
800
A scientist is studying a certain species of caterpillar. She records the growth of a caterpillar from the time it hatches until it makes a cocoon, which usually takes about 2 weeks. During that time period, the caterpillar grows at a constant rate. It begins with a mass of 1.5 grams and grows at a rate of 0.2 grams per day. Write an equation and solve to find what does the caterpillar weigh at the end of the 2 weeks>
0.2(14) + 1.5 = y
y= 4.3 grams
800
A rectangular prism has a base that is 6cm by 11cm and has a height of 5.5cm.
What is the surface area of the prism in sqcm?
319 cm^2
800
This season, a basketball player has made 14 of the 20 free throws he has attempted. Based on his record, what is the probability that he will make his next free throw?
7/10 or 70%
800
A right rectangular prism has a height of 8 cm and a volume of 250 cubc centimeters. What could be the length and width?
B
L= 5cm
W=6.25cm