Negatives and Powers
Multiply/Divide
Mixed
Linear/Exponential Functions
Potpourri
100
Simplify into a positive integer:
5^-2
1/25
100
Simplify (leave as a base with an exponent):
5^3*5^5
5^8
100
Use the exponent rules to simplify:
(x^3)^2 * x^1
x^7
100
Based on the function table, determine the linear function rule in
f(x)=mx+b
f(x)=7x+26
100
A relation is function if every ______ has exactly ______ _______.
input
one output
200
Simplify as a positive integer:
1/(4^-3)
64
200
Use the product rule for exponents to multiply:
4x^3*5x^2
20x^5
200
Use the exponent rules to simplify:
(3x^2 * 2x^2) / (2x^2)
3x^2
200
Based on the function table, determine the exponential function rule in
f(x)=a*b^x
f(x)=2*4^x
200
Use the function rule below to find f(x+3)
f(x)=2x+5
f(x+3)=2x+11
300
Simplify into a positive integer:
(x^2/y)^-3
y^3/x^6
300
Use the quotient rule to divide:
(8k^3)/( 4k^2)
2k
300
Use the exponent rules to simplify:
(2xy^3 * 3xy)^2
Use the exponent rules to simplify:
36x^4y^8
300
(HINT: Use decimals!)
Based on the function table, determine the exponential function rule in
f(x)=a*b^x
f(x)=8*0.5^x
300
Use the quotient rule to simplify:
(2x^2y^4)/(8xy^2)
(1xy^2)/(4)
400
Use the power rule to simplify (leave as a base with an exponent):
(14^2)^3
14^6
400
Use the product rule for exponents to multiply:
3x^4 * 2x^3 * 3x^2
18x^9
400
Use the exponent rules to simplify:
(x^3y^4)^3*(3xy^2)^2
9x^11y^16
400
Say you are hired by a delivery company as a driver. You are paid $75 per day plus $0.40 per package delivered.
Write a linear function rule to determine the amount of money earned (f(x)) after delivering any number of packages (x)
f(x)=mx+b
f(x)=0.40x+75
400
Solve the system of equations shown below:
y=2x+3
x+4y=39
(3, 9)
500
Use the power rule to simplify:
(2^3y^4)^3
512y^12
500
Use the quotient rule to divide:
(x^2y^5)/(xy^3)
xy^2
500
Use the exponent rules to simplify:
(4b^2c^3 * 3bc^5) / (6b^3c^10)
2/c^2
500
Say that the population of Pierce City is about 1,200 people and will increase at a rate of 3% each year.
Write an exponential function rule to determine any number of people (f(x)) after any number of years (x)
f(x)=a*b^x
f(x)=1200*1.03^x
500
Solve the systems of equations below:
14x + 2y = 26
-14x - 6y = -50
(1, 6)