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Interval notation
Evalute f(x), g(x), h(x),
Evalute f(g(x))
Simplify f(g(x))
Coin word problems
100
State a verbal description for the following interval notation: (-inf,4]
What is x is at most 4?
100
Find f(-4) if f(x) = 2x - 10.
What is f(-4) = - 18?
100
Find (hog)(1) if h(x) = 4x^2 - 5x -8 and g(x) = 3 -9x.
What is (hog)(1) = 166?
100
Find f(g(x)) if g(x) = 3 - 9x and f(x) = 2x - 10.
What is -4 - 18x?
100
A jar of coins has a value of $31.65. Find the number of each coin in the jar if the number of nickels is 4 less than twice the number of pennies and the number of dimes is 67 less than the sum of the nickels and the pennies.
What is there are 95 pennies, 176 nickels and 214 dimes in the jar?
200
State an inequality statement and an interval statement for x is between 8 and 20 inclusive.
What is (8, 20] and 8 < x < 20 -
200
Evaluate g(-8) if g(x) = 3 - 9x
What is g(-8) = 75?
200
Find g(h(3)) if h(x) = 4x^2 - 5x - 8 and g(x) = 3 - 9x.
What is g(h(3)) = -114?
200
Find (kog)(x) if g(x) = 3 - 9x and k(x) = -6x^2 - 5x + 10
What is -486x^2 + 369x - 59?
200
A jar of coins has a value of $138.80. Find the number of each coin in the jar if the number of dimes is 18 less than three times the number of nickels and the number of quarters is 38 less than half the number if nickels.
What is there are 316 nickels, 930 dimes, and 120 quarters in the jar?
300
State an inequality and an interval notation for x is between 6 and -3, 6 inclusive.
What is 6 > x > -3 and (-3, 6]. -
300
Find h(-2) if h(x) = 4x^2 - 5x - 8 .
What is h(-2) = 18?
300
Find h(k(3)) if k(x) = -6x^2 - 5x + 10 and h(x) = 4x^2 - 5x - 8
What is h(k(3)) = 14,211?
300
Find (hog)(x) if g(x) = 3 - 9x and h(x) = 4x^2 - 5x - 8.
What is 324x^2 - 171x + 13?
300
A jar of coins has a value of $95.80. Find the number of each coin in the jar if the number of nickels is 15 more than twice the number of dimes and the number of quarters is 8 more than the sum of the nickels and the dimes.
What is there are 94 dimes, 203 nickels, and 305 quarters in the jar?
400
Write an inequality and an interval notation for x is between -3 and 5, inclusive.
What is -3 < x < 5 and [-3,5]? - -
400
Find k(-3) if k(x) = -6x^2 -5x +10>
What is k(-3) = - 29?
400
Find (gof)(-3) if f(x) = 2x - 10 and g(x) = 3 - 9x.
What is (gof)(-3) = 147?
400
Find g(k(c)) if k(x) = -6x^2 - 5x + 10 and g(x) =3 - 9x.
What is 54c^2 + 45c - 87?
400
A jar of coins has a value of $59.00. Find the number of each coin in the jar if the number of nickels iss 10 less than half the number of dimes and the number of quarters is 14 less than four times the number of dimes?
What is there are 56 dimes, 18 nickels, and 210 quarters in the jar?
500
Write an inequality and an interval notation for x is at least 7.
What is x > 7 and [7, inf] -
500
Find k(f(3)) if f(x) = 2x - 10 and k(x) = -6x^2 - 5x + 10
What is k(f(3)) = -6?
500
Find (kof)(7) if f(x) =2x - 10 and k(x) = -6x^2 - 5x + 10.
What is (kof)(7) = -106?
500
Find g(k(x)) if k(x) = -6x^2 - 5x + 10 and g(x) = 3 - 9x.
What is 54x^2 + 45 x - 87?
500
A jar of coins has a value of $175.15. Find the number of each coin in the jar if the number of dimes is 14 more than twice the number of nickels and the number of quarters is 12 less than twice the sum of the nickels and the dimes.
What is there are 97 nickels , 208 dimes, and 598 quarters in the jar.