Algebra
7x + 4 = 25
Solve for x.
x=3
A pair of shoes costs $40. If the sales tax rate is 5%, what is the total cost including tax?
$42
Emily goes to a store with $50. She buys a jacket for $32.75 and a pair of sunglasses for $9.50. How much money does she have left?
7.75
A coin is flipped. What is the probability of getting heads?
50%
What is 25% written as a decimal?
0.25
2x + 5 = 20
Solve for x.
x=7.5
A laptop costs $600 before tax. The sales tax is 8%. How much is the sales tax amount?
$48
A farmer needs to fill a large tank using two hoses. The first hose can fill the tank in 6 hours, and the second hose can fill the tank in 4 hours. If both hoses are used together, how long will it take to fill the tank completely?
2 hours and 24 minutes
A jar contains 4 red, 6 blue, and 5 green marbles
if you randomly pick one marble, what is the probability that its not blue?
3/5
A store offers a 15% discount on a jacket priced at $120. After the discount, a 6% sales tax is added. What is the final price?
$108.12
4.5a - 2.8 = 12.7
Solve for a.
a=3.4
A jacket costs $80. After adding a 7% sales tax, the total price is $85.60. What was the sales tax rate?
7%
Worker A alone can finish painting in 8 hours. Worker B alone can finish painting in 6 hours. Worker C alone can finish painting in 4 hours.
If all three workers paint together, how long will it take them to complete the entire job?
1 hour and 51 minutes
A bag contains 3 red, 5 blue, and 7 green marbles. You randomly pick one marble, put it back, and then pick up another one.
What is the probability that both marbles are the same color?
83/225 ≈ 0.3689
A population of 24,000 people increases by 8% one year. Then it decreases by 5% the next year. What is the population after two years?
24,624
3/4n + 5/6 = 7/2
Solve for x.
n=32/9 ≈ 3.56
You buy a bike for $200 including a 6% sales tax. What was the price of the bike before tax?
$188.68
A cyclist travels 15 km in the first hour, but due to fatigue, their speed decreases by 2 km per hour each hour afterward.
1)How far will the cyclist travel in 4 hours?
2) What is the total distance the cyclist travels before stopping if they stop when their speed reaches 5 km per hour?
1:48 km
2:60 km
A standard number cube (die) is rolled twice.
What is the probability that the sum of the two rolls is greater than 9?
1/6
A jacket costs $150. After a 20% discount and adding 7% sales tax, what is the final price?
$128.40
2x + 3y = 15
4x - y = 7
Solve for both x and y.
x= 18/7 y=23/7
A TV costs $500 before tax. After adding an unknown sales tax rate, the total price is $540. What is the sales tax rate?
8%
Pipe A alone can fill the tank inn 5hrs. Pipe B alone can fill the tank in 8hrs.
There is also a leak that drains 1/10th of the tank's volume every hour.
If both the pipes are opened at the same time, but the leak continues, how long will it take to fill the tank?
40 hours
A deck has 20 cards: 8 hearts, 6 clubs, and 6 spades.
You randomly pick one card. Without putting it back, you pick a second card.
What is the probability that the second card is a heart, given that the first card was a club?
8/19
A store increases the price of a laptop by 12%. Later, the price is reduced by 10%. If the original price was $800, what is the final price after these two changes?
$806.40