Numerical Expressions
Algebraic Expressions
Order of Operations
Evaluating Expressions
Translating Expressions
100
What is a numerical expression?
a mathematical phrase that contains numbers, operators, and no equal sign
100
What makes an algebraic expression different than a numerical expression?
algebraic expressions include at least one variable
100
What do you do first when performing order of operations?
grouping ( or parenthesis)
100
75/(2+3)^2
3
100
What operation is described by the words "19 min longer"?
Addition
200
True or False This is a numerical expression: 4+3=10
False
200
What is the 3 in the algebraic expression 3w?
the coefficient
200
When performing order of operations, what comes first, subtraction and addition, or multiplication and division?
Multiplication and division
200
10 + 4^3 /8
18
200
What operation is described by "the square of a number"?
raising to a power of 2
300
What type of numerical expression is this: 4^3
an exponential expression
300
What is a variable?
a letter or symbol used to represent a number
300
True or False: When multiplying and dividing, you always do multiplication BEFORE division?
False
300
Evaluate the expression: u^2v^2;u=3, v=4
3^2X4^2=144
300
Translate the following verbal expression into an algebraic expression: "1 more than 6 times a number"
1 + 6n
400
Expand and evaluate the following exponential expression: 5^3
5X5X5 = 125
400
what is the variable in the expression 9b-12?
b
400
What is the correct order of operations?
Grouping Exponents Multiplication and Division (from left to right) Subtraction and addition (from left to right)
400
Evaluate the expression: 8a-2ab; a=5,b=4
8(5)-2(5)(4)=0
400
Write an expression for the real world situation: An egg carton holds 12 eggs. Some eggs are taken out of the carton. Write an expression for the number of eggs left in the carton.
12-e
500
Write and evaluate a numerical expression to represent the situation: During a clothing sale, all T-shirts cost $7. Rosa buys 5 black T-shirts and 2 blue T-shirts. She pays with a $50 bill. How much change will she receive?
50-7 X(5+2) $1
500
Explain the process to evaluate the expression 2x-3y for x=10 and y=2
Identify the variable as x and y. Identify the values as 10 and 2. Substitute the values for x and y to create the numerical expression (2X10)-(3X2)+7 Evaluate using the order of operations to get 21
500
Why are exponents computed before addition and subtraction?
Exponents are repeated multiplication, and multiplication is always performed before addition and subtraction.
500
A ferry is crossing the ocean. The distance in miles, from it's destination is given by the expression 3,470-28t, where t is time, in hours, since the ferry left it's port. How far is the ferry from it's destination 24 hours after leaving it's port?
3,470 - 28(24)=2,798 miles
500
The distance, in feet, that a dropped object falls is 16 times the square of the number of seconds it has fallen. If Kristian hears a dropped rock splash in the bottom of a well 2 seconds after dropping it, how deep is the well?
16s^2; 16(2^2)=64 feet
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