Writing Expressions
Simplifying Algebraic Expressions
Real Numbers
Properties
Simplifying Numeric Expressions
100
An algebraic expression for q multiplied by 2.
What is 2q?
100
The simplified form of the expression: (2 + 7m) + 5
What is 7 + 7m?
100
The difference between the natural numbers and the whole numbers.
What is whole numbers include 0?
100
The property illustrated by this equation: 12 + 917 = 917 + 12
What is the commutative property of addition?
100
The simplified form of 11(3) - 3^2.
What is 24?
200
A word phrase for this algebraic expression: 2x + 1.
What is twice a number and 1 or 2 times a number plus 1 or 1 more than twice a number...?
200
The simplified form of the expression: 9 • (r • 21)
What is 189r?
200
All of the subsets of numbers to which 3 belongs.
What are natural, whole, integer, rational, and real?
200
The property illustrated by this equation: (x • 3) • 4 = x • (3 • 4)
What is the associative property of multiplication?
200
Simplify the square root of the quotient of 196 and 144.
What is 7/6?
300
An algebraic expression for this phrase: the product of 13 and m plus the product of 2.7 and n
What is 12m + 2.7n?
300
Demonstration of whether or not these expressions are equivalent. 8 + 6 + b and 8 + 6b
What is no, because the first one simplifies to 14 + b...6 is not multiplying b in the first one.
300
All of the subsets of numbers to which -2/3 belongs.
What is rational numbers and real numbers?
300
The property illustrated by this equation: m + 0 = m
What is the additive identity?
300
The simplified form of [(2(-2)(4))/(12-4(2))]^3.
What is 64?
400
An algebraic expression to model the following relationship: Jordan gets paid to mow his neighbor’s lawn. For every week that he mows the lawn, he earns $20.
What is 20w?
400
Demonstration of whether or not these expressions are equivalent. 5 • (4 - 4) and 0
What is yes, because 4 - 4 = 0 and anything times 0 = 0?
400
The approximate side length of a square table top with an area of 25 square feet to the nearest whole unit.
What is 5 ft?
400
The property illustrated by this equation: 5 • 0 = 0
What is the zero property of multiplication?
400
The simplified form of -6(x)^2 + y^3 - 8, evaluated when x = 3 and y = 2.
What is -54?
500
An algebraic expression that models the situation below using the variable g for the number of gift cards to pay her total bill, t. Sarah is going to pay for an item using gift cards. The clerk tells her that she will need 2 gift cards and an additional $3 to pay for the item.
What is 2g + 3 = t?
500
You have prepared 40 mL of vanilla, 20 mL of chocolate, and 50 mL of milk for a milkshake. a. How many milliliters of milkshake will you have if you first pour the vanilla, then the chocolate, and finally the milk into your glass? b. How many milliliters of milkshake will you have if you first pour the chocolate, then the vanilla, and finally the milk into your glass? c. Explain how you can tell whether the amounts of milkshake described in parts (a) and (b) are equal.
What is a) 110, b) 110, c) the commutative property of addition says that it doesn't matter what order we add the ingredients, the total is still the same?
500
Kate, Kevin, and Levi are comparing how fast they can run. Kate was able to run 5 miles in 47.5 minutes. Kevin was able to run 8 miles in 74 minutes. Levi was able to run 4 miles in 32 minutes. From fastest to slowest, the order of the friends.
What are Kate, Kevin, Levi?
500
Justify each step of this work: 5 + (3x + 2) = 5 + (2 + 3x) = (5 + 2) + 3x = 7 + 3x
What are commutative of addition, associative of addition, addition/combining like terms?
500
The simplified form of the expression t[v^2 - (23 - v^2) + 3], evaluated when t = -2 and v = 2.
What is 24?
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