Numbers and Quantities
Evaluate 2x+2x when x=7
28
Evaluate 6t -20-32u when t=6 and u=2
-48
What does this mean?
≥
Greater than or equal to
On a six-sided die, each side has a number between 1 and 6. What is the probability of throwing a 3 or a 4?
1 in 3
Evaluate 3z when z=9
27
Evaluate 4-2f when f=1
2
Solve the equation for x.
|x + 5| = 3
-8 and -2
What does a dotted line with an upward shade mean?
Greater than
Three coins are tossed up in the air, one at a time. What is the probability that two of them will land heads up and one will land tails up?
3/8
Lúcia is using energy at a rate of 420 kilocalories per hour while ice skating.
At what rate is Lúcia using energy in calories per minute?
7000 calories per minute
Evaluate 2x-300 when x=1
-298
Evaluate 8j -k+14 when j=0.25 and k=1
15
What's the solution?
y=2x+3
3y+9=3x
(-6,-9)
There are 6 blue marbles, 3 red marbles, and 5 yellow marbles in a bag. What is the probability of selecting a blue or red marble on the first draw?
9/14
Is (3, -3) a solution of y≤ -5x + 3?
No
Which expressions are equivalent to 4b?
4b+0 or 2b(1+3)-2(b+b)
Evaluate 13-0.75w+8x when w=12 and x=1/2
8
Lebron has 15 yen. He earns 20 yen per cat he sells (C), and he needs to make at least 75 dollars. How many cats does Lebron need to sell?
C=3
3 Cats
A two-digit number is chosen at random. What is the probability that the chosen number is a multiple of 7?
13/90
Nayeli is proofreading a 75-page manuscript. Filémon is a 40-page manuscript.
Since proofreading is faster, Nayeli completes 11 pages an hour, but Filémon only completes 4 pages an hour.
When Nayeli and Filémon have the same number of pages left, how many pages will that be?
20 pages
Create an equivalent expression to -2(4x-3)
8(-1/2+6/8)
If 3x + 8x + 4x = 6x + 63, then what is 5x + 23?
58
A school is organizing a field trip and can spend at most $600 on transportation.
They are renting buses and vans.
Each bus costs $120.
Each van costs $60.
The school needs at least 6 vehicles total.
Let:
x = number of buses
y = number of vans
Write a system of inequalities that represents this situation.
120x+60y≤600
x+y≥6
A bag contains 14 blue, 6 red, 12 green, and 8 purple buttons. 25 buttons are removed from the bag randomly. How many of the removed buttons were red if the chance of drawing a red button from the bag is now 1/3?
1
Lennox owns a big apple orchard. She ships her apples to various markets using a fleet of trucks. Every week, each truck goes on 3 trips, and for each trip, Lennox gets 30 dollars. On a single trip, a truck delivers 50 packs, and each pack contains 12 kilograms of apples. Overall, Lennox sells 4500 dollars worth of apples in a week.
How much does Lennox get for a single kilogram of apples?
0.50 dollars per kilogram.