Expressions
Name 2 types of grouping symbols
Parentheses, Brackets, or Absolute Value bars
Any number multiplied by zero is equal to
Zero
(The Multiplicative Property of Zero)
True or False: 6x2+5x-2 is in simplest form.
True
|-7|
7
An expression containing no like terms or parentheses is in this form.
Simplest Form
15 less than the sum of k and 2
(k+2)-15
This property says that any quantity is equal to itself, such as 7=7.
The Reflexive Property
Rewrite the expression 3(x+4y) using the Distributive Property.
3x + 3(4y)
A number's distance from zero on the number line.
Absolute Value
Identify the coefficient, base, and exponent in the expression 7x3.
Coefficient: 7
Base: x
Exponent: 3
There are 1024 bytes in a kilobyte. Write an expression that describes the number of bytes in a computer chip with n kilobytes.
1024n
The order in which you add or multiply numbers will not change the result.
Commutative Property
Simplify the expression 4x3-2x+5x+36
4x3+3x+36
True or False: |m-n| = |n-m|
True
The nearness of a measurement to the true value of the measure.
Accuracy
3g(g+r)2-1 g=2, r=3
149
If a-12=b+3 and b+3=5, then a-12=
5
(h-10)7
7h-70
|12+2t|, t=-2
8
True or False: 7+2a = 2a+7 is true because of the Transitive Property of Equality.
False
z3+(y2-4x) x=6, y=8, z=3
67
3+ (-3) = 0
Additive Inverse
2(n+2n-5)
6n-10
-|10-7r+8m+2p| m=-4, p=2, r=5
-53
Nathan earned a $5,000 holiday bonus at work and has decided to buy gifts for his 7 family members. If he wants to spend the same amount on each gift, how much should he spend on each item?
$714.28