Write an algebraic expression for the word phrase below:
7 more than three times a number n
3n+7
100
Simplify the expression:
80-(4-1)^3
53
100
3 examples of natural numbers
{1,2,3...}
100
Simplify the expression:
2.1(4.5x)
9.45x
100
What does it mean to simplify an expression?
replace it with its single numerical value or most basic form
200
What word phrase represents the following expression?
4(x+7)
4 times the sum of x and 7
200
What is the simplified form of:
4+10/4+6
12.5
200
True of False:
All negative numbers are integers
False; -1/2 is not an integer
200
Name the propriety that illustrates this statement:
75+6=6+75
Communitive Propriety Of Addition
200
Explain the difference between numerical expressions and algebraic expressions.
Numerical expressions only involve numbers and operational symbols, but algebraic expressions involve one or more variables, as well.
300
Write a word phrase for the following algebraic expression: z/5 - 1
one less than the quotient of z and 5
300
Write the algebraic expression for each word phrase:
3 times the difference of 7 and d
3(7-d)
300
Name the subset(s) of real numbers to which each number belongs:
2/3
rational numbers
300
Name the property that each statement illustrates:
5*(12*x)=(5*12)*x
Associative Property of Multiplication
300
What is the difference between a rational and an irrational number?
When in decimal form, irrational numbers never repeat and never end, but rational numbers do repeat or do end.
400
Write an algebraic expression to represent the following word phrase:
9 less than the quotient of 6 and a number y
6/y -9
400
Evaluate the expression for the given values of the variables:
3(s-t)^2; s=4, t=1
27
400
What classification(s) apply to the number 417?
rational, integers, whole, natural
400
Simplify the expression:
33xy/3x
11y
400
What is a counterexample?
an example showing that a statement is false
500
The cost of a telephone call is 75 cents plus 25 cents times the number of minutes. Write an algebraic expression that models the cost of a telephone call that lasts t minutes.
0.75+0.25t
500
Solve the expression (5-1)^2 - ( 18/3).
10
500
Sometimes the product of two positive numbers is less than either number. Describe the numbers for which this is true.
It is true for products involving two numbers greater than 0 and less than 1.
500
Use deductive reasoning to tell whether the statement is true or false. If false, give a counterexample.
For all real numbers p and q, p/q = q/p.