Fraction/Decimals
Exponents
Solving Expressions
squaring/cubing
square root/cube root
Short Answer
100
write 8/15 as a decimal
What is .53 with the 3 repeating
100
Identify the bases and exponents. x^3 * 5^10
What is bases: x and 5 exponents: 3 and 10
100
Evaluate x^2 + 5 if x = 4
What is 21
100
Evaluate (-5)^2
What is 25
100
Is the square root of 30 a rational or irrational number? Explain how you know.
What is irrational because it is a non-terminating decimal that is not repeating.
200
Write .454545.... as a fraction. Also tell if this is a repeating or terminating decimal and a rational or irrational number.
What is 5/11. Repeating. Rational.
200
Evaluate (-3)^3
What is -27
200
Evaluate m^3 + n^2 if m=2 and n=3
What is 17
200
What does it mean when you square a number? Then give an example.
What is you are multiplying a number times itself. Example 5^2 is 5 * 5 =25
200
Without using a calculator, determine which whole number the square root of 59 is closest to. Explain how you know.
What is 8 because the square root of 8=64 and the square root of 49=7 and 59 is closer to 64 than 49.
300
Write .625625625... as a fraction. Is it repeating, terminating, rational, or irrational?
What is 625/999. Repeating and rational.
300
write using exponents and then identify a base and an exponent. x*x*x*x*5*5*5
What is x^4*5^3 bases: x and 5 exponents: 4 and 3
300
Evaluate x^3 * m*2 if x=-2 and m=5
What is -80
300
Evaluate the square root of 25/81
What is 5/9
300
What is a difference between squaring a number and taking the square root of a number?
answers vary
400
Write 5 3/8 as a decimal. Is this decimal repeating, terminating and rational or irrational?
What is 5.375 Terminating and rational.
400
Evaluate 5^2 * (-2)^3
What is -200
400
Evaluate a^5 * b^3 if a=-2 and b=-3
What is 864
400
What is the square root of (-16)
What is no real solution
400
Whats the difference between finding the square root of a number and finding the cube root of a number?
answers vary
500
Write .070707.... into a fraction without using your calculator. You must show your work in order to get the points.
What is 7/99
500
Why is a negative number with an odd exponent always going to be a negative number?
Explanations vary
500
Evaluate x^6 / p^5 if x=2 and p=-2
What is -2
500
Find two numbers that have square roots between 7 and 8. Explain how you know.
What is square root of 49=7 and square root of 64=8 so any numbers between 49 and 64 would work.
500
The volume of a cube is 125 cm^3. What is the side length of the cube?
What is 5 cm.
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