Number Systems
A hiker began at an elevation of 538 meters and descended 2,357 meters. What was his elevation at the end of the hike?
-1,819 meters (or 1,819 meters below sea level)
At what point on a graph is the unit rate represented?
Where x = 1
Tiana goes out for dinner. Her meal costs $23.50. She is charged an 8% sales tax. She also leaves a 20% tip on the cost of the meal with tax. How much does Tiana pay in total?
$30.46
Express (-2x - 8) in factored form
-2(x + 4)
You spin a spinner labeled 1-4. What is the probability you spin a 2?
1/4 or 25% or 0.25
Will the answer to the following expression be positive or negative?
(-b) x (-a) x (-p) x (-x) x (-y) x (-h)
Positive
12 gallons of paint costs $41.76. What is the cost per gallon?
$3.48 per gallon
David is buying a birthday cake for his brother. The cake costs $35.00. David uses a 20% off coupon. He is charged a 5.5% sales tax on the cost of the discounted cake. How much does he pay in total?
$29.54
Solve:
-36 > 12 - 4x
12 < x
Mark rolls a six-sided die 200 times. How many times should he expect to roll an odd number?
100 times
A hot air balloon was launched in a valley. If its starting point was 438 feet below sea level and ascended to 899 feet above sea level, how far did the hot air balloon travel?
1,337 feet
Josh sells coffee beans. He charges $2.36 for the one pound, $4.72 for two pounds, $7.08 for three pounds, and $9.46 for four pounds. Is there a proportional relationship between the number of pounds of coffee beans and the cost? Why or why not?
No, there is not a constant or proportionality
Taylor works at a luxury clothing store. She earns $500 a week, in addition to a 4.5% commission on the clothes she sells. She wants to earn at least $1,000 a week. Write and solve an inequality to determine the amount of sales she needs to meet her goal. Leave your answer in inequality form.
s ≥ 11,111.12
Simplify:
-2(3x - 5) - 4(-8x + 6)
26x - 14
You flip a coin and roll a six-sided die. What is the sample space?
12 possible outcomes
A submarine began its descent at level. After 15 minutes, its elevation was -8,406 feet. How far did the submarine descend per minute?
Descended 560.4 feet per minute
In a certain brand of fruit punch, there are 8 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 = 8x
In August, the average daily temperature was 100 degrees. In October, the average daily temperature was 75 degrees. What was the percent change in the average daily temperature?
25% decrease
A backpack is marked up 30%. Write two expressions that can be used to find the cost of the marked up backpack. Let b represent the original price of the backpack.
b + 0.3b
1.3b
You have a bag with 4 green marbles, 3 yellow marbles, and 3 red marbles. You pick two marbles with replacement. What is the probability you pick a green marble then a red marble?
3/25 or 12% or 0.12
An airplane flies at a rate of 543 meters per second. How far did the airplane travel after 10 minutes?
325,800 meters
In a certain brand of green paint, there are 6 pints of blue paint for every 2 pints of yellow paint. Write an equation showing the relationship between the amount of yellow paint (x) and the amount of blue paint (y) needed to make the green paint.
y = 3x
This week, a purse was on sale for $62.38. This is a 12% decrease in the purse's original cost. How much did the purse originally cost?
$70.89
Sarah has $200 to spend on new clothes. She buys four shirts for $15 each, two pairs of jeans for $35 each, three sweaters for a total of $50, and some socks. If each pair of socks costs $5, how many pairs of socks can Sarah buy? Write AND solve an equation to represent the scenario. Let s = socks. (Your answer must include your original equation and the s= ____)
4(15) + 2(35) + 50 + 5s = 200
OR
60 + 70 + 50 + 5s =200
OR
180 + 5s= 200
AND
s=4
You have 4 blue marbles, 5 red marbles, and 1 yellow marbles. You pick three marbles without replacement. What is the probability you pick a blue marble, then a red marble, followed by a yellow marble?
1/36 (or 20/720)