BEDMAS
Evaluate: 15 - 4 × 3 + 18 ÷ 6
6
(x + 3) (x + 2)
x^2 + 5x + 6
A purse contains $2.50 in nickels and dimes. There are twice as many dimes as nickels. How many of each coin are there?
10 nickels, 20 dimes
If Johnny flies at a rate of 50 mph constantly, how far would he reach after 5 hours and 30 minutes of flying?
275 miles
A bat and a ball cost $1.10 in total. The bat costs $1.00 more than the ball. How much does the ball cost?
5 cents ($0.05)
Evaluate:
5 + 2 × (12 ÷ 3 + 1)² - 7
48
Simplify by collecting like terms:
4x(3x - 2y) - 2(5x^2 - 4xy + 3) - 9
2x^2 - 15
A piggy bank contains $2.10 in nickels and dimes. There are 6 more dimes than nickels. How many of each coin are there?
10 nickels, 16 dimes
Sarah leaves her house on a bicycle traveling at an average speed of 12 mph. Two hours later, her brother Luke sets out in his car along the exact same route to catch up with her, driving at 48 mph. How long will it take Luke to catch up with Sarah?
40 minutes
Patterns: Find the missing number in the sequence:
2, 6, 12, 20, 30, ?
42
Evaluate:
24 ÷ [2*(7 - 4)^2] + 5 (-3)
-13 2/3 or -13.67
Simplify by collecting like terms: 4x(3x - 2y) - 2(5x^2 - 4xy + 3) - 9
2x^2 - 15
A coin jar holds $4.55 in quarters and nickels. There are 3 more than double the number of quarters in nickels. How many of each coin are in the jar?
13 quarters, 29 nickels
Elena drives a total distance of 210 miles in 4 hours. For the first part of her trip, she drives along highway backroads at 45 mph. For the remainder of the trip, she drives on the interstate at 60 mph. How long did she drive on the interstate?
2 hours
Congrats! You got free points!
This is the only free points box btw...
{3^2 - 2[6 - 2(5 - 8)] x (5 - 3)} + 10
-29
Factor the perfect-square trinomial:
x² - 6x + 9
(x - 3)²
A jar contains 40 coins (dimes, quarters, and dollar coins) worth exactly $25.00. The number of quarters is 4 more than twice the number of dimes, and the number of dollar coins equals 36 minus three times the number of dimes. How many of each coin are in the jar?
5 dimes, 14 quarters, 21 dollar coins
A train 200 meters long travels at a speed of 72 km/h. How long will it take to pass completely through a tunnel that is 600 meters long?
40 seconds
Work Rate: Pump A can fill a tank in 3 hours, and Pump B can fill it in 6 hours. How long will it take both pumps working together to fill the tank?
2 hours
Evaluate:
(-2^2 - 3 x (-2)^3) x (⅔)^-2 - 3√-27+27/{5-[2^2 - (3 - (2 - 5)^-1 x 9)]}
45
Factor completely by grouping:
x³ - 2x² - 9x + 18
(x - 2)(x - 3)(x + 3)
Maya has 85 coins consisting of pennies, nickels, and dimes that total $4.45. If the number of nickels is 5 more than twice the number of pennies, and the number of dimes equals 80 minus three times the number of pennies, how many of each coin does she have?
20 pennies, 45 nickels, 20 dimes
A boat travels 24 km downstream in two hours. The return trip upstream against the same current takes 4 hours. Find the speed of the boat in still water and the speed of the current.
Boat = 9 km/h, Current = 3 km/h
Logic Matrix: In a room of 30 people, 18 drink tea, 15 drink coffee, and 5 drink both. How many people drink neither tea nor coffee?
2 people