Numbers & Operations
Simplify expression
18/ (9-15/5)
What is 3
Write a rule for the function.
{(0,9) ,(2,5), (4,1), (6,-3) }
What is
f(x)= -0.5 X +9
Six of the friends get frozen fruit bars from a box, one at a time. How many different ways could 6 friends take the fruit bars?
What is
720 different ways
Find the domain and range of the relation.
{(−4, 3), (−2, −1), (0, 0), (1, 4), (2, 4)}
What is
Domain {-4,-2,0,1,2}
Range {3,-1,0,4}
A cell phone provider offers a plan that costs $40 per month plus $0.20 per text message sent or received. A comparable plan costs $50 per month but offers unlimited text. How many text messages with have to be sent or received in order for the plans to cost the same each month?
What is
50 text messages would have to be sent or received in order for the plans to cost the same each month.
Write The expression as an integer, a simple fraction, or an expression that contains only positive exponents. Simplify
-(367.5d)0
What is -1
The bottom of a ladder must be placed 6 feet from a wall. The ladder is 10 feet long. How far above the ground does the ladder touch the wall?
What is
8 feet
A basketball team has won 25 of its first 38 games played. What is the probability that the team will win its next game? Round to the nearest thousandth if necessary.
What is
65.789%
Cullen is 10 years younger than Ada. The product of their age 2 years ago was 39.
Find Ada's present age.
What is
Ada's present age is 15 years.
The new season of Tessa's favorite mystery series is coming soon on a streaming service. The season is 24 episodes, but it will be broken up into 6-episode releases. The function E(r) represents the number of episodes still to come after r releases.
What is the domain of E(r)?
What is
the domain of
E(r)is all whole numbers from 0 to 4.
Write the number in scientific notation
20.578 x 103
What is
2.0578 x 104
The sum of the least and greatest of 3 consecutive integers is 60. What are the values of the 3 integers?
What is
The 3 consecutive numbers are 29, 30 and 31
A bag contains 6 white counters, 5 red counters, and 19 counters of other colors. Find probability
P(white and red)
What is
P(white then red) = P(white) · P(red after white)
1/29
The product of two positive integers is 176. One number is 5 more than the other.
Find the smaller number.
What is
The smaller number is 11.
2 m³ of soil containing 35% sand was mixed into 6 m³ of soil containing 15% sand. What is the sand content of the mixture?
What is
20%
Simplify radical expression
square root of 3 x Square root of 18
What is
3 Square root of 6
The lengths of the sides of a triangle are consecutive odd numbers. What is the length of the longest side if the perimeter is 45?
What is
The length of longest side is 17 Units
Find the mean, median, and mode. Round to the nearest hundredth if necessary
{ 8 , 7, 3, 5, 9, 2, 4, 7}
What is
mean 5.625
median 6
mode 7
Aditi and Kavita had 40 coins in total. Aditi gave 10 coins to Kavita. The product of the coins they now have is 375. Aditi had fewer than 30 coins when she started.
How many coins did Aditi start with?
What is
Aditi had 25 coins and Kavita had 15 coins.
9 gal. of a sugar solution was mixed with 6 gal. of a 90% sugar solution to make a 84% sugar solution. Find the percent concentration of the first solution
80%
Find the inverse for the function
g(x)=2+(x-3)2
What is
g(x)=3+sqr.(x-2) & g(x)= 3-sqr. (x-2)
How many mg of a metal containing 45% nickel must be combined with 6 mg of pure nickel to form an alloy containing 78% nickel?
What is
4 mg
group of 8 friends is having a picnic at the lake. A canoe can fit 3 people. How many different possible ways are there for 3 of the friends to go for a ride in the canoe?
What is
336
Write and evaluate an exponential function for each situation. Round answers to the nearest whole number. • Exponential growth can be modeled by the function f(x) = a · (1 + r)x . • Exponential decay can be modeled by the function f(x) = a · (1 − r)x .
A $250 bicycle loses 3% of its value each year. How much is the bicycle worth after 5 years?
What is
215$
Brand X sells 21 oz. bags of mixed nuts that contain 29% peanuts. To make their product they combine Brand A mixed nuts which contain 35% peanuts and Brand B mixed nuts which contain 25% peanuts. How much of each do they need to use?
8.4 oz. of Brand A, 12.6 oz. of Brand B