Rational or Irrational
Exponent Rules
One, Infinite, No
Equations
Scientific Notation
Slope and Y-Intercept
100
Is the following number Rational or Irrational?
pi
Irrational
100
Simplify the expression:
(3^7)(3^9)
3^16
100
Identify the following equation as having One, Infinite, Or No Solutions:
x + 2 = x + 2
INFINITE SOLUTIONS
100
Solve the equation:
-2 ( 4x + 3 ) = 10
x = -2
100
Simplify the expression leaving your answer in scientific notation.
( 2 xx 10^7 )( 4 xx 10^9 )
8 xx 10^16
100
Identify the slope and y-intercept from the equation:
y = 12x - 7
slope (m) = 12 or 12/1
y-intercept (b) = -7 or (0,-7)
200
Is the following number Rational or Irrational and why?
-5
Rational because it is an integer, can be written as a fraction, or is a terminating decimal.
200
Which exponent rule states, "If you have an exponent to another exponent, then you multiply the exponents and keep the base" ?
Power Rule
200
Identify the following equation as having One, Infinite, Or No Solutions:
5x + 2 = 2(5x + 2)
ONE SOLUTION
200
Solve the equation:
4 ( 2x + 3 ) = -3 ( x - 1 ) + 31
x = 2
200
Simplify the expression leaving your answer in scientific notation.
(15xx10^9)/(3xx10^13
5xx10^-4
200
Is the graph linear or non-linear? How do you know?
It is non-linear because it is not a straight line.
300
Is the following number Rational or Irrational and why?
sqrt(56)
Irrational because it is the square root of a non-perfect square or as a decimal it is non-terminating and non-repeating.
300
Simplify the expression:
9^0/9^4
1/9^4
300
Identify the following equation as having One, Infinite, Or No Solutions:
3(x + 2) = 3(x - 2)
NO SOLUTION
300
Solve the equation:
¼ ( 8x + 12 ) + ½x = 5
x = 0.8 or 4/5
300
Simplify the expression leaving your answer in scientific notation.
( 8.2 xx 10^10 )( 7.1 xx 10^-2 )
5.822xx10^9
300
Is the table a representation of a linear or non-linear function? How do you know?
Linear because it has a constant rate of change of 4.
400
Name three reasons a number would be classified as Rational.
Whole Number Integer
Fraction Square Root of a Perfect Square
Terminating Decimal Repeating Decimal
400
Simplify the expression:
((2^10)(2^-90))/2^20
1/2^100
400
Identify the following equation as having One, Infinite, Or No Solutions:
10(x + 1) - 5x = 5(x + 2)
INFINITE SOLUTIONS
400
Solve the equation:
¾x + 10 + 0.05x = 30
x = 25
400
Simplify the expression leaving your answer in scientific notation.
(9xx10^5)/(10xx10^2
9xx10^2
400
Write the linear function that represents the table and graph.
y = 2x - 1
500
What makes a number an Irrational number?
It is a non-terminating AND non-repeating decimal.
500
Simplify the expression:
(((5^3 xx 5^7)^2)/5^25)^0
1
500
Fill in the blank to make the following equation have No Solution:
3x + 2(x - 4) = ___ ( x + 2 )
5
500
Container A has 800 ml of water, and is leaking 6 ml per minute. Container B has 1000 ml, and is leaking 10 ml per minute. How many minutes will it take for the two containers to have the same amount of water?
50 minutes
500
Simplify the expression leaving your answer in scientific notation.
(0.000598)(8.9xx10^-2)
5.3222xx10^-5
500
A storage tank begins with a water level of 20 feet. Each hour the water level decreases by 6 feet. Write the linear function that represents the scenario.
y = -6x + 20