Ratios and Percentages
If a bag contains 12 apples and 8 oranges, what is the ratio of apples to oranges?
3:2
Simplify: 3x+2x
5x
Solve for x: 3x=12
x=4
If two pens cost $1.50, how much does one pen cost?
$0.75
If you earn $15 per hour and work 8 hours, how much do you make in a day?
$120
A shirt costs $40, and it is on sale for 25% off. What is the sale price?
$30
Simplify: 7a−4a+2
3a+2
Solve for x: x+5=10
x=5
A car travels 300 miles using 12 gallons of gas. How many miles can the car drive in 2 Gallons of gas?
50 miles
You buy a car for $20,000 and pay 10% in taxes. What is the total cost of the car?
$22,000
A student answered 18 out of 20 questions correctly. What percentage of questions did they get correct?
90%
Simplify: 5x−2y+3x+4y
8x+2y
Write an equation for: "The sum of a number and 7 is 15."
x+7=15
A rectangle has a length of 10 and a width of 5. What is its perimeter?
30
A loan has an annual interest rate of 5%. If you borrow $1,000, how much interest will you owe after one year?
$1,050
A recipe calls for 3 cups of flour for every 2 cups of sugar. If you use 9 cups of flour, how many cups of sugar should you use?
6 cups
Simplify: 6m+3n−2m−n
4m+2n
Solve for x: 2x−4=10
x=7
A jar contains 50 marbles. If 30 are red and the rest are blue, what percentage of marbles are blue?
40%
You invest $500 in a savings account that earns 2% interest annually. How much will you have after one year?
$510
A population increases from 800 to 1,200 people. What is the percentage increase?
50%
Simplify: 4x+6y−3x+5z−y
x+5y+5z
Write the equation of a line in slope-intercept form with a slope of 2 and passing through (3,7)
y=2x+1
If a triangle has two sides of lengths 5 and 12, what is the length of the hypotenuse?
13
Your phone bill is $60 per month, and you save $10 by switching to another provider. What percentage of your original bill are you saving?
16.67%