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 concept shows the reverse of the Distributive Property?
Factoring
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
True or False:
2x + 14px = 7(x + 2p)?
False
What is a term?
A number, a variable, can be a negative can be separated by +/-
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)
Evaluate the following expression:
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
Mrs. Owens wants to rent some snow skis. The cost to ski is $17. The cost to rent ski's is $7 per hour.
What would Mrs. Owens final cost be after skiing for 3 hours?
$38