Ratios & Proportions y=kx
A supermarket sells 5 apples for $3.00. What is the unit rate per apple?
$0.60
Evaluate: -15 - (-8).
-7
Simplify the expression: 4x + 7 - 2x + 5.
2x + 12
What is the probability of rolling a 4 on a standard 6-sided die?
1/6
A $60 jacket is on sale for 20% off. How many dollars is the discount?
60 * 20 % = 12 $12.00
Which equation represents a proportional relationship: (A) y = 2x + 1 or (B) y = 2x?
(B) (Proportional relationships must pass through the origin (0,0))
Convert the fraction 5/9 into a decimal.
0.5 with 5 repeat
Solve for x: 3x - 10 = 11.
x = 7
If you flip two coins, what is the probability that both land on Heads?
1/4 or 25%
You buy a video game for $50. If the NYC sales tax is 8.875%, what is the total cost of the game? (Round to the nearest cent).
$54.44
50 *1.08875 = 54.4375.....
If the constant of proportionality (k) is 4.5, write the equation representing the relationship between x and y.
y = 4.5 x
A hiker starts at 20 feet above sea level and descends 35 feet. What is their new elevation?
15 feet below sea level or -15 feet
Solve the inequality: 2x + 5 < 13.
x < 4
A bag has 4 red, 3 blue, and 5 green marbles. What is the probability of picking a blue marble?
3/12 or 1/4 or 25%
You put $500 into a savings account with a 3% simple interest rate per year. How much interest will you earn after 2 years?
I = prt
I = 500*0.03*2 = 30
A scale drawing uses 1 inch = 12 feet. If a wall in the drawing is 4.5 inches long, how many feet long is the actual wall?
54 feet (4.5 times 12)
Which property is shown here? a(b + c) = ab + ac.
Distributive Property
Factor the expression: 12x + 18
6 (2x +3)
You want to know the favorite food of students in your school. Should you ask (A) The football team or (B) Every 10th student entering the building?
(B)
A store owner buys a chair for $40. He marks it up by 50%. A month later, he offers a "10% off" coupon on that chair. What is the final selling price using the coupon?
40*150%*90% = 54
A pair of sneakers costs $90. It is on sale for 25% off. After the discount, an 8% sales tax is added. What is the final price?
$72.90 (90 times 0.75 = 67.50; 67.50 times 1.08 = 72.90)
The temperature in Buffalo was 2 degree. It dropped 3 degree every hour for 4 hours. What was the final temperature?
-10 degree
Write an equation: "The sum of twice a number n and 5 is 15."
2x + 5 = 15
A spinner has 4 equal sections. If you spin it 200 times, how many times would you expect it to land on the first section?
50 times
After a 20% discount, the sale price of a pair of headphones is $72.
What was the original price of the headphones before the discount?
72/0.8 = 90 $90.00