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Equations & Inequalities
Properties
Functions
Fractions
Word Problems
100
The following inequality in interval notation: -3 < x < 2
What is ( -3, 2 ) ?
100
This is an example: 3 + ( 4 + 2 ) = ( 3 + 4 ) + 2
What is The Associative Property?
100
The value of f (-3) given that: f(x) = -2x^2 + 3
What is -15?
100
The requirement for adding or subtracting fractions.
What is common denominators?
100
Two siblings, Edwin and Rhea, are both going skiing, but choose different payment plans. Edwin's plan charges $45 for rentals and $5.25 per lift. Rhea's plan was a bundle where her entire day cost $108. The number of trips that Edwin can take in which he will pay the same as Rhea.
What is 12 trips?
200
Solve: 5 ( x + 3 ) > 25
What is x > 2
200
The property that says to divide both sides of an equation by the same number.
What is The Multiplicative Property of Equality?
200
The only rule of functions.
What is the Domain can not repeat?
200
The process for dividing by a fraction.
What is multiplying by a reciprocal?
200
Erika can run (8t + 2) feet in a time period t. Jennifer can run 2(2t + 1). Erika says she can run twice as fast. Is she correct?
What is No, 8t + 4 would be twice as fast?
300
The answer to: 5 ( x + 1 ) - 2x = 2 ( 3 + x )
What is x = 1
300
These binomials expressed as a trinomial: ( 2x + 5 ) ( 3x - 2 )
What is 6x^2 + 11x - 10?
300
The maximum value of the function: f(x) = -x^2 - 2x - 11
What is -10?
300
( 9/5 ) + (- 4/3)
What is 7/15 ?
300
Francine is three years more than twice John's age. Harry is two years less than three times John's age. If John's age is given by j, write an expression to show the sum of their ages.
What is 8j + 1?
400
Two consecutive integers such that ten more than twice the smaller is seven less than three times the larger.
What are 14 & 15?
400
The property that justifies the following work: 7x - 4x = ( 7 - 4 ) x
What is the Distributive Property ?
400
The average rate of change between the interval [2, 5] for the function: f(x) = x^2 - 3x - 4
What is 4?
400
(-3 5/8 ) - ( 4 2/5 )
What is -8 1/40 ?
400
Three consecutive odd integers such that the sum of the smaller two is three times the largest increased by seven.
What is -17, -15, -13?
500
Water is being drained out of a swimming pool at a constant rate of 780 gallons per hour. The swimming pool initially contained 45,000 gallons of water. A chemical additive must be added to the pool when it has no more than 15,000 gallons of water remaining in the pool. Determine the number of days, hours, and minutes before the chemical needs to be added?
What is 1 day, 14 hours, and 30 minutes?
500
This expression as the product of two binomials: ( x + 3 ) ( 4x - 1 ) - ( x + 3 ) ( x - 9 )
What is ( x + 3 ) ( 3x + 8 ) ?
500
All values of x for which f(x) = g(x) given: { f(x)= -x+3 and g(x) = x^2 - 6x + 7
What is x=1 and x=4?
500
The formula for C = (5/9) ( F -32 ) is used for converting Fahrenheit to Celsius. Solve this formula for F, and use it to determine the degrees F in 50 degrees C.
What is F = (9/5) C + 32, 122 F?
500
A 2.2GB game is being downloaded onto your laptop. When you have downloaded half a gigabyte you notice your computer has been downloading at a rate of .01 GB/min. At the same time you started downloading the game your grandma put a 10 lb turkey in the oven. If the turkey will take 3.5 hours to cook, will you have enough time to download your game. Explain your answer.
What is No, you will need 10 more minutes?