Sets of Numbers
Name all sets of numbers to which the following number belongs?
pi
Irrational and Real Numbers
x^2 -2y -x if x = 4 and y = 7
(4)^2 -2(7)-4
16 - 14 -4
-2
a mathematical phrase made up of numbers and variables
algebraic expression
Simplify the following expression.
7x^2 +4 + 2x -7 + 4x -3x^2 + x^3
x^3 + 4x^2 + 6x -3
What are the terms without a variable called in an expression?
Constant terms
Name all sets of numbers to which the following number belongs?
0
Whole, Integer, Rational, and Real Numbers
2(3a+4b)-c if a= 4, b = 9, and c = 5
2(3(4) + 4(9)) - (5)
2(12 +36) - 5
2(48)-5
96 -5
91
All fractions and decimals that end or have a repeated pattern
Rational numbers
Simplify the following expression.
5x^2 -6+ 3x - 4x^2 + 7x -4
x^2 + 10x -10
Are natural numbers integers?
Yes Always!
Name all sets of numbers to which the following number belongs?
-sqrt49
Integer, Rational, and Real Numbers
x^2 -2(x-y)-z^3 if x = 5, y = -4, and z = -1
(5)^2 -2(5 - (-4)) - (-1)^3
25 - 2(9)- (-1)
25 - 18 + 1
7 + 1
8
number next to the variable in an expression
coefficient
Simplify the following expression.
-3(x^3 - 10w)
-3x^3 + 30w
What is the perimeter of a rectangle with side lengths of 4x+ 7 and 6x+ 9?
P = 2l+2w
= 2(4x+7) + 2(6x+9)
=8x + 14 + 12x + 18
= 20x + 32
Name all sets of numbers to which the following number belongs?
abs(-15)/abs(12)
Rational and Real Numbers
(a^2 - b^2)/(a+b) if a= 6 and b = -2
((6)^2 - (-2)^2)/(6+ (-2))
(36-4)/(6-2)
32/4
8
If a = b then a may be replaced for b in any expression.
substitution property
Simplify the following.
1/3 (3/5 x+21)
1/5x+ 7
18 + 5x^4 + 12 + 4x^2 + 10 + 7x + 8x^5 + 2x + 6x^3 + 14
Name the coefficients in the following expression.
5, 4, 7, 8, 2, 6
Name all sets of numbers to which the following number belongs?
sqrt(16)/(4)
Natural, Whole, Integer, Rational, and Real Numbers
-a^3-2bc+absc if a= 2, b = -5, c = -7
-(2)^3 -2(-5)(-7)+abs(-7)
-(8) + 10(-7) + 7
-8 - 70 + 7
-78 + 7
-71
To ______ an expression means to ensure there are no parenthesis and ____________.
*simplify
*no like terms
Simplify the following expression.
11/4(7/3x-4) - 3/4(3x-12)
77/12x - 11 - 9/4x + 9
25/6x - 2
What is the area of a triangle with a base of 3x+7 and height of 9?
A = 1/2bh
1/2 (3x + 7)(9)
(3/2x + 7/2 )(9)
27/2x + 63/2