Exponents
What vocabulary terms describe's the 4 and the 3?
43
4 - base
3 - exponent
In order of operations, what get's solved first?
Parenthesis, Braces, Brackets
When two numbers are multiplied together, the product is the same regardless of the order of the factors.
Commutative Property
Which pair of expressions is equivalent?
a. 4(b + c) and 4b x 4c
b. 4(b + c) and 4(b - c)
c. 4(b + c) and 4b + 4c
d. 4(b + c) and 4b - 4c
c. 4(b + c) and 4b + 4c
The sum of three and seven times a number equals thirty-eight. Which expression demonstrates this correctly?
A. 3 + 7 + n = 38
B. 7 + 3n = 38
C. 3 + 38 = 7n
D. 3 + 7n = 38
D. 3 + 7n = 38
What expression is equivalent to 53 + 82 ?
125 + 64
**********************
53 = 5x5x5 = 5x5=25; 25x5=125
82 = 8x8=64
If the only operations left in a problem are multiplication and division, you solve them in order from ...................
Left to Right
When three or more numbers are multiplied, the product is the same regardless of the grouping () of the factors.
Associative Property
Luann wrote an expression showing 8times the difference of
D. 8(y-3)
8 times the difference of y and 3.
8 x (y - 3)
Solve the equation for x.
3x + 5 = 23
A. 6
B. 8
C. 9
D. 18
A. 6
3(6) + 5 = 23
18 + 5 = 23
23 = 23
What does the expression (4 x 104) equal?
40,000
********************
104 = 10x10x10x10 = 10,000
4 x 10,000 = 40,000
Evaluate:
53 + 5 x 12 - 6
179
***************
53 + 5 x 12 - 6
53 = 5x5x5 = 5x5=25; 25x5=125
125 + 60 - 6
185 - 6
179
The product of any number and one is that number.
Identity Property
What expression is equivalent to:
8(y-3)
8y - 24
*************
8y - 8(3)
Solve the equation for x.
7x + 12 = 47
A. 4
B. 5
C. 7
D. 8
B. 5
7(5) + 12 = 47
35 + 12 = 47
47 = 47
True or False:
The exponent tells the base how many times it will be used as a factor.
True
What is the value of the following expression:
12 + (14 + 63) + 5 x (45 - 40)
267
***********************
12 + (14 + 63) + 5 x (45 - 40)
63 = 6x6x6 = 6x6=36; 36x6=216
12 + (14 + 216) + 5 x (45 - 40)
12 + 230 + 5 x 5
5x5=25
12 + 230 + 25
267
What property is demonstrated by the following:
4 * (6 + 3) = 4*6 + 4*3
Distributive Property
Which pair of expressions is equivalent?
A. 4
C. 42 + 21
Calculate the value of the variable y for x = 4
y = 14 + 2x
a) 16
b) 22
c) 20
d) 18
b) 22
y = 14 + 2(4)
y = 14 + 8
y = 22
Evaluate the following expression:
4 + 12 x 102 - (16 - 32)
1197
**************
4 + 12 x 102 - (16 - 32)
32 = 3x3=9 102 = 10x10=100
4 + 12 x 102 - (16 - 9)
4 + 12 x 102 - 7
4 + 12 x 100 - 7
4 + 1200 - 7
1204 - 7
1197
What does GEMDAS stand for?
Grouping, Exponents, Multiplication, Division, Addition, Subtraction
Order of Operations - the order you solve
What property is demonstrated by the following:
(2 * 3) * 4 = 2 * (3 * 4)
Associative Property
Which expression correctly shows the sum of 20 + 28 as a product of their greatest common factor and another sum?
A. 2 (10 + 14)
B. 4 (5 + 7)
C. 4 (5 + 28)
D. 5 (4+ 28)
B. 4(5 + 7)
**Find GCF
20 - 1, 20, 4, 5, 2, 10
28 - 1, 28, 2, 14, 4, 7,
Calculate the value of the variable p for q = 4
p = 42 - 3q
a) 32
b) 40
c) 30
d) 33
c) 30
p = 42 - 3(4)
p = 42 - 12
p = 30