Sequences
Fractions
Roots and Radicals
Rational and Irrational
Exponents
100
8/16, 16/32, 32/64
100
Draw a picture that represents the following expression. Use your picture to make a claim about whether or not the expression's value is greater than 1.
3/4 +2/3
Pictures will vary. The value is greater than one.
100
Find the square of the following numbers:
2.2, -4, 8, 1/3
4.84, +16, 64, 1/9
100
Which of the following numbers in irrational?
The square root of 121
The cube root of 27
The square root of -16
1.18624
0.3333
The square root of -16 is not a rational number.
100
Evaluate each expression:
4^3 x 4^5
4^3 / 4^5
(4^3)^5
4^8
4^-2 (or 1/4^2)
4^15
200
Find the next three terms in the following sequence:
100, 70, 40, . . .
10, -20, -50
200
Put in order from least to greatest:
1/2, 1/3, 1/10, 3/10, 1/5
1/10, 1/5, 3/10, 1/3, 1/2
200
Find the cube of the following numbers:
1/2, -2, 1.2, 12
1/8, -8, 1.728, 1,728
200
Put the following numbers in order from least to greatest:
3/5, 0.45, 40 percent
40 percent, 0.45, 3/5
200
Evaluate the following expression:
(2,486^0) x 4^2+4^3
80
300
What is the tenth term in the following sequence?
1, 2, 4, 8, . . .
The tenth term is 2,048.
300
True or False:
3/6 = (2+1/2) / (3+1/3)
False. The value of the expression on the right side of the equal sign is 3/4.
300
Find the square roots of the following numbers:
16, 1/16, 0.16
4, 1/4, 0.4
300
Write each rational number as a ratio of integers. Approximate each irrational number to the nearest tenth.
0.0042
Square root of 92
119%
0.171717171717 . . .
42/10,000
9.6
119/100
17/99
300
Evaluate the following expression:
(7^12 x 8^7) x (1/7^11) x (8^-5)
448
400
Write a sequence whose 12th term is 144.
Many possibilities!
400
Draw a picture to explain why multiplication means "of" in the following expression:
3/4 x 5/8
Pictures will vary.
400
Find the cube roots of the following numbers or expressions:
27, 1/27, (7 x 49), (100 + 22 x 2)(12)
3, 1/3, 7, 12
400
Write each number as a decimal, a fraction, and a percent.
1/6
2.23
82%
0.1666 . . . , 1/6, 16.6666 . . . %
2.23, 223/100, 223%
0.82, 82/100 (or 41/50), 82%
400
Apply the properties of multiplication and the laws of exponents to evaluate the following expression:
(4.2x10^4) x (1.3x10^-3)
Write your answer in standard form.
54.6
500
Write a rule to find any term in the following sequence:
1, 2, 3, 1, 2, 3, 1, 2, 3, . . .
Divide the term number by 3. If the remainder is 0, then the term is 1. If the remainder is 1, the term is 2, and if the remainder is 2, the term is 3.
500
Simplify the following expression:
(7/2)^2+(3/8) - (2/1) x (7+1/3)
-49/24 or -(1 +1/24)
500
Joi wants to estimate the number of dice that fit in room 31. If one edge of one die is 16mm long, and the volume of the room is about 1.72 x 10^11 cubic mm, how many dice can fit in the room? Round all decimals to the hundredths place. Write your answer in standard form.
42 million dice can fit in the room.
500
Write all of the following numbers as decimals. Approximate any irrational numbers to the nearest tenth. Put the numbers in order from least to greatest.
2/3, 148%, the cube root of 1/27, 0.3, 26/75
0.3, 0.333 . . . , 0.34666 . . . , 0.666 . . . , 1.48
500
Apply the properties of multiplication and the laws of exponents to find out how many times 1.2 x 10^-3 goes into 4.8 x 10^4. Write your answer in standard form.
1.2 x 10^-3 goes into 4.8 x 10^4 40,000,000 times.