Number Systems
A hiker began at an elevation of 132 feet below sea level and hiked up 96 meters. What was her elevation at the end of the hike?
36 meters below sea level (-36 meters)
What is the formula for constant or proportionality?
k = y/x
David is out for lunch. His meal costs $12.50. He is charged a 7% sales tax and leaves an 20% tip on the cost of his meal with tax. How much does David pay in total?
$16.05
-3(x+3)
You roll a 6-sided die. What is the probability you land on the number 3?
1/6
The product of -1.5 and b is positive. What must be true about the true of b?
b must be negative
3 pounds of coffee beans costs $20.37. What is the cost per pound?
$6.79
A sweater on an online store normally costs $48.50 but is marked up by 15%. The online store also charges customer a 4% processing fee on the cost of the marked up sweater. What is the total cost of the sweater?
$58.01
Solve:
-16 > 12 - 8x
3.5 < x
Jessica flips a coin 300 times. How many times should she expect to land on tails?
150 times
Caroline began the month with $26.83 in her bank account. How much did she have in her bank account after she withdrew $149.76 and then deposited $37.94?
-$84.99
What three components does a graph need to have in order to show a proportional relationship?
Straight line, runs through the origin, has a constant of proportionality
Marshall is a car salesman. He earns $1,200 a month, in addition to 5.5% commission on the cars he sells. He hopes to earn at least $2,500 a month. Write and solve an inequality to determine the amount of sales Marshall needs to make each month to meet his goal. Leave your answer in inequality form.
x ≥ 23,636.34
Josh has $140 to spend. He wants to buy a hoodie that costs $40, two pairs of socks that cost $4.50 each, three shirts that cost a total of $75, and some ties. If each tie costs $8, how many ties can Josh buy? Write an equation to represent the scenario. Let t = ties. (You do not need to solve)
40 + 2(4.50) + 75 + 8t = 140
OR
124 + 8t =140
You flip a coin and then spin a spinner labeled 1-4. What is the sample space?
8 possible outcomes
The daily low temperatures in Montreal are listed below. What is the mean daily low temperature?
-11.55, 13.76, -21.92, -4.23, 6.78, -24.21
-6.895 degrees
At what value of x is the unit rate represented on a graph?
Where x=1
In January, the average temperature was 32 degrees. In March, the average temperature was 46 degrees. What was the percent change in the average temperature from January to March?
43.75% increase
Simplify:
-2.5(1.2 - x) - 3.1 (-3.6x + 11)
-8.66x - 37.1
You flip a coin and then spin a spinner labeled 1-6. What is the probability you flip heads and then spin an even number?
1/4 (or 3/12)
A submarine descends into the ocean at a rate of 3.42 feet per second. If the submarine began its descent at sea level, what will the elevation of the submarine be after 5 minutes?
-1,026 feet (or 1,026 feet below sea level)
In a certain brand of fruit punch, there are 4 cups of orange juice for every 1 cup of cranberry juice. Write an equation showing the relationship between the amount of cranberry juice (x) and the amount of orange juice (y) needed to make the fruit punch.
y=4x
This week, 60,000 fans watched the Nets game. This is a 7% increase in the number of fans who watched the game last week. How many fans watched the game last week?
56,075 fans
A dress is on sale for 25% off. Write two expressions that can be used to find the sale price of the dress. Let d represent the original price of the dress.
d - 0.25d
0.75d
You have a bag with 2 yellow marbles, 3 red marbles, and 5 blue marbles. You select 3 marbles without replacement. What is the probability you pick a red marble, then a blue marble, then a yellow marble?
1/24 (or 30/720)