Rational/Irrational Numbers
Square Roots/Cube Roots
Evaluating Square Root/Cube Root Equations
Exponent Properties
Scientific Notation
100
Classify each number as rational or irrational:
9.6bar8, 2.010010001..., sqrt64, (-51/5), sqrt6
Rational:
(-51/5), sqrt64, 9.6bar8
Irrational:
2.010010001...., sqrt8
100
What is the side length, s, of the square?
9m
100
Solve the equation:
x^2 = 10
x=+-sqrt10
100
Rewrite 5^-15 using a positive exponent.
1/5^15
100
Write the following in scientific notation:
7,586,000,000,000
7.586 cdot 10^12
200
Express the repeating decimal as a fraction.
0.bar3
1/3
200
A cube-shaped box has a volume of 64 cubic inches. If the box is packed full of cubes with edge lengths of 1 inch, how many cubes can fit along one side of the box?
4 cubes - you need to do the
root(3)(64)
200
Solve the equation
x^2=26
x=+-sqrt26
200
Fill in the blanks with the provided expressions to match the expression with its equivalent.
x, x^9, x^4, x^-2
1/x^2
x^4/x^3
(x^2)^2
x^3 cdot x^3 cdot x^3
1/x^2 = x^-2
x^4/x^3 = x
(x^2)^2 = x^4
x^3 cdot x^3 cdot x^3 = x^9
200
Write the following in scientific notation:
0.0000000458
4.58 cdot 10^-8
300
Express the repeating decimal
0.bar6
as a fraction.
2/3
300
Is 121 a square root or a cube root?
Evaluate.
sqrt121 = 11
300
Solve the equation
x^3=29
x=root(3)29
300
Evaluate for x = 2 and y=4
16x^0+2x^2 cdot y^-1
16(2^0)+2(2^2) cdot 4^-1 = 16+8 cdot 1/4 = 16+2=18
300
Write the following in standard form:
2.57 cdot 10^8
257,000,000
400
Ron asked 18 classmates whether they prefer granola bars over muffins. He used a calculator to compare the number of classmates who said yes to the number he surveyed. The calculator showed 0.66666666667. What is this number as a fraction?
How many students prefer granola bars over muffins?
2/3 and 12 students
400
How would you classify the number 125?
A - Perfect Square
B - Perfect Cube
C - Both Perfect Square and Perfect Cube
D - Neither Perfect Square or a Perfect Cube
B - Perfect Cube (5)
400
Approximate the
sqrt30 to the nearest tenth.
sqrt30 is between 5 and 6, but closer to 5. A good approximation would be 5.4 or 5.5.
400
Evaluate:
123456789^0
1
400
Write the following in standard form:
2.35 cdot 10^-5
0.0000235