Expressions
Equations
Simplifying
Properties
Number Classification
100
Write as an algebraic expression. The product of 33 and j
33j
100
Marguerite is going to Spain during Spring Break with the Foreign Language Club. She receives an information sheet that says the average temperature during April is 18 degrees Celsius and the average rainfall is 8.6 cm. The formula for converting Celsius to Fahrenheit is 9/5 C + 32 = F What is the average temperature in Spain in April is degrees Fahrenheit?
64.4 degrees Fahrenheit
100
Evaluate if q = -4 12q^2 - 9q
228
100
Name the property -17 = 0 + -17
Additive Identity
100
Define real number and give three different types of examples.
A real number is any number that is not imaginary (the square root of a negative.) Examples may vary. 5, -2.1, pi
200
Write as an algebraic expression. negative seven times the sum of eighteen and number
Let n equal the number. -7(18+n)
200
Shandra's age is four more than three time Sherita's age. How old is Shandra if Sherita is 3 years old?
13 years old
200
Simplify if possible. 25a^3b - 7ba^3
18a^3b
200
Give an example of Multiplicative Inverse
Answers Vary Possible answer 4 * 1/4 = 1
200
Define irrational number and give two different types of examples.
An irrational number is a decimal that does not terminate or repeat. OR An irrational number is a number that cannot be written as a fraction with integers. Examples may vary. pi and the square root of 8
300
Write as an algebraic expression. two fifths of the cube of a number
Let n = the number 2/5 n^3
300
Solve for p. p = 5(1^9) + 4(3) + -4(2^3 - 4)
p = 1
300
Simplify if possible. 4(6r + 2s - 2r)
16r + 8s
300
Name the property. 11.2 + (-12 + 5) + 7 = 7 + 11.2 + (5 + -12)
Cummutative
300
Define composite and give three examples.
A composite number is a number that has factors other than 1 and itself. Examples may vary. 4, 6, 100
400
Write as an algebraic expression. twice the difference of 74 and u
2(74 - u)
400
Solve for d (37d - 9d)/(18-11) = -d * -4
d = the set of all real numbers
400
20/6 divided by -16/18
-15/4
400
Name the property. 8x + 16 = 8(x + 2)
Distributive
400
Define integer and give three examples.
An integer is a whole number or its opposite. Examples may vary. -18, 0, 4
500
Shandra's age is four more than three times Sherita's age. Write an expression for Shandra's age.
Let x = Sherita's age 4 + 3x
500
The formula for estimate the number of inches is to divide the number of centimeters by 2.54. Margeruite is going to Spain during Spring Break. She reads that the average temperature in April is 18 degrees Celsius and the average rainfall is 8.6 cm. Find the average rainfall in inches.
About 3.4 inches
500
Evaluate: 2 + 6(9 - 3^2) - 2 For an extra 500 points, name the property used to justify each step.
0 Properties Step 1 - Substitution Step 2 - Additive Inverse Step 3 - Multiplication Property of Zero Step 4 - Additive Identity Step 5 - Additive Inverse
500
Describe the difference between the multiplicative identity property and the multiplication property of zero.
The multiplicative identity property says that anything multiplied by 1 is itself. The multiplication property of zero says that anything multiplied by 0 is 0.
500
All natural numbers automatically belong to which other four categories?
Whole, Integer, Rational, Real
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