Vocab
What is a variable?
A letter
5(2x+3) = 10x - 15
True or False?
False
Use the distributive property to simplify:
3(x + 4)
3x + 12
Evaluate 32.
9
5 less than a number
n-5
Which property does this show?
10(2x+3) = 20x+30
Distributive
What is a coeffecient?
The number in front of a variable?
Are x and 1x equivalent expressions?
Yes they are equivalent expressions because they give the same result for every value of the variable.
Use the distributive property to simplify:
4(5x - 1)
20x - 4
Evaluate 33 - 42.
11
a number more than 10
10 + n
What property shows the changing of groups?
(remember, parenthesis group numbers)
For example:
3x+(2+5x) = (3x+2) + 5x
Associative
What is a constant?
The number by itself
Are x + x + x and 3x equivalent expressions?
(Think about combining like terms)
Yes.
Use the distributive property to simplify:
12(2x-5)
24x-60
Evaluate 6x3 if x = 3.
162
Twice a number
2n
What property shows the changing of the order?
For example:
3y+7 = 7+3y
Communitive
What is a term?
Each part of the problem (including negatives)
Are 4x and 4x equivalent expressions?
No. Multiplying two numbers together is NOT the same as solving exponents.
Use the distributive property to simplify:
2(3x + 4) + 3(5x + 7)
21x + 29
Evaluate
2w2 + 5w
if w = 4.
52
6 times the sum of 2 and 5
6(2+5)
Solve the following:
5x2+6y x=3 y=2
57
List the terms in the following expression:
10x + 5 + y - 2
10x, 5, y, -2
Are x3 and (x)(x)(x) equivalent expressions?
yes
Use the distributive property to simplify:
7(x + 3) + 9(2x + 5)
25x + 66
Evaluate.
32 x (16 - 23 + 1)
81
7 less than the product of 12 and a number
12n-7
Mr. Patterson wants to rent some snow skis. The cost to ski is $17. The cost to rent ski's is $7 per hour.
What would Mr. Patterson's final cost be after skiing for 3 hours?
$38