Lessons 1-2
To which subsets of real numbers does -73 belong?
Integers, rational numbers, real numbers
Simplify: 6^4
1296
Simplify: |-3.4|
3.4
Simplify:
12 + |5 - 11|
18
Evaluate the following expression when x = 10 and b = 2:
3x - 4b + 2bx
62
True or false? If false, provide a counterexample.
The set of whole numbers is closed under multiplication.
True
Simplify: (2/5)^3
8/125
(-23.4) + 18.72
-4.68
Simplify:
5 + [6 x (2^3 + 4)]
77
Evaluate the expression for when a = -1 and b = 8:
2ab - 4a^2 +10
-10
Identify the constants and variables:
65qrs + 12x
Simplify: 45 - (2 + 4) x 5 - 3
12
True or false? If false, provide a counterexample.
The set of rational numbers is closed under addition.
True
Compare the expressions:
(13 + 5) - [5 x 2^2] ___ [(7 + 11) - 5] - 2^3
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16.21 - 21.54 + 12.72
7.39
Identify the terms:
8v - 17yz + (63b/4gh)
8v, 17yz, 63b/4gh
Simplify: 9 x 2^3 - 9/3
69
(-2/3) - (-1/6)
-1/2
Arthur just returned from London. He has 16 British pounds to convert to American dollars. If the exchange rate is 1 pound = $2.016, what is the value of Arthur's 16 pounds in dollars?
$32.26
Compare the expressions when x = 2 and y = 5:
(6x^2 + y^3) - 3x^6 __ 8x^4 - y^3
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Identify the factors and coefficients:
abc
f: a, b, c; c: 1
Compare:
1/4 + 3^2 + 6 ___ 5 - 2 + 2 x 4 + 3/9
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On January 23, 1960, the Trieste dove to a record depth of 37,800 feet below sea level. The record set previously was 13,800 feet less than the record-breaking dive. What was the previous record set in relation to sea level?
-24,000 feet
An interior wall measures 4.5 yards by 3.25 yards. What is the size of the wall in square feet?
131.625 square feet
Jonah ran a race in 32.68 seconds. Jarrod finished 1.92 seconds before Jonah. Gayle finished 3.01 seconds after Jonah. How many seconds did it take Gayle to run the race?
35.69 seconds