The Real Number System
Name all the sets in the real number system that the following number belongs to
Choices: (real numbers, irrational numbers, rational numbers, integers, whole numbers, natural numbers).
sqrt49
What are the real numbers, rational numbers, integers, whole numbers, and natural numbers?
Evaluate the following expression:
|16-22|
What is 6?
Simplify the following expression:
23ab+4a-6b
What is
23ab+4a-6b ?
Translate the following expression:
"the product of a number and 10, increased by 1"
What is
10n+1 ?
Solve the following equation:
3p-4=11
What is
p=5 ?
Solve the following equation:
-5(3x-4)+4=114
What is
x=-6 ?
(6a+3)+a=6a+(3+a)
Name that property of real numbers illustrated by the following equation.
What is the associative property of addition?
Evaluate the following expression:
7+54 divide 3(2)
What is 43?
Simplify the following expression:
8x^3-6x^2+2x^3
What is
10x^3-6x^2 ?
Translate the following equation:
"the difference between a number and 10 is 42"
What is
x-10=42 ?
Solve the following equation:
4/3x+25=33
What is
x=6 ?
Solve the following equation:
10x-7=21-6x
What is
x=7/4 ?
Name the additive inverse of -3/4 .
What is
3/4 ?
Evaluate the following expression using the variable replacements:
if a=3, b=-2, and c=7
ab^2+c
What is 19?
Simplify the following expression:
-3(2x-4)
What is
-6x+12 ?
Translate the following equation:
"two thirds of a number is 8 less than the number itself"
What is
1/2 n=n-8 ?
Solve the following equation:
x/-4+11=5
What is
x=24 ?
Solve the following equation:
8(x+5)=44+8x
What is "no solution"?
True or false. (If false, give a counterexample.)
Integers are closed under division
What is false? Ex:
1/2=0.5
Evaluate the following expression:
(8-4)^2 - |5-2^3|
What it 15?
Simplify the following expressions:
1/4(12x-8)+6x
What is
9x-2 ?
Translate the following inequality:
"a number increased by 5 is no more than 8"
What is
x+5<=8 ?
Solve the following equation:
(n+4)/-2=-9
What is
n=14 ?
Solve the following equation for the indicated variable:
(for n)
4m-2n=1
What is
n=-1/2+2m ?