4.7 - Evaluating Expressions - 6th Grade, 4.6 - Algebraic Expressions - 6th grade, 4.5 - GCF, LCM, and Distributive Property - 6th grade, 4.4 - Combining Like Terms - 6th, 4.6 - Algebraic Expressions, 4.5 - GCF, LCM, and Distributive Property, 4.3 -...
x³. (Example: 4x4x4)
A number cubed
y - 16
A number decreased by sixteen
x + 2
A number increased by two.
x². (Example: 3x3)
A number squared
Associative Property of Multiplication
The way in which three numbers are grouped when they are multiplied does not change their product.
3x + 12
Triple a number increased by twelve
A letter or symbol that stands for an unknown number
Variable
3, 4
What are the constants in 5x^2 - 3x + 3 + 4x^2 + 3x - 4?
2, 2
What are the exponents in 5x^2 - 3x + 3 + 4x^2 + 3x - 4?
x
What are the variables in 5x^2 - 3x + 3 + 4x^2 + 3x - 4?
12 * 3 + 12 * 4
Write in expanded form 12(3 + 4)
15 * 2 - 15 * 3
Write in expanded form 15(2-3)
117
[(8 + 13) x 6] - 27 ÷ 3
Inverse Property of Addition
a + (-a) = 0
Associative Property of Addition
a + (b + c) = (a + b) + c
Identity Property of Addition
a + 0 = a
Commutative Property of Addition
a + b = b + a
Distributive Property
a property indicating a special way in which multiplication is applied to addition of two or more numbers in which each term inside a set of parentheses can be multiplied by a factor outside the parentheses, such as a(b + c) = ab + ac
Distributive Property
a(b + c) = ab + ac
Distributive Property
a(b+c)=ab+ac
subtraction
reduced by
1
(12 - 8)^2 - 3 x 5
7
(5^2 + 3) / 4
35∧0
1
GCF 13 and 17
1
3
1 + 1 x 2
31
10 + 3(8-1)
10^2
100
10^3
1000
Exponential form 11 x 11 x 11
11^3
12, 3x, 3, 4x
12 - 3x + 3 - 4x What are the terms?
the quotient of 12 and a number x
12 / x
125^1
125
5^3
125
GCF 25 and 75
25
3x + 2
4x - 8 + 10 - x
Evaluate if y = 9 y-4
5
21
5 + 4(10-6)
7 times the sum of x and 6
7(x + 6)
LCM 8 and 36
72
LCM 25 and 75
75
the sum of 7 times x and 6
7x + 6
GCF 48 and 88
8
Associative Property of Multiplication
8 x (5 x 7) = (8 x 5) x 7
24-16
8(3-2)
LCM 10 & 16
80
Exponential form 8 x 8 x 8
8^3
(5-2)^2
9
Standard form 3∧2
9
The terms that have the same variables (constants are also like terms)
Like Terms
5, 3, 4, 3
List the coefficients in 5x^2 - 3x + 3 + 4x^2 + 3x - 4.
Properties
Mathematical statements that are true for any number.
a number x increased by 34
x + 34
7 more than a number x
x + 7
11 less than a number x
x - 11
a number x decreased by 25
x - 25
GCF 24 & 45
3
subtraction
decreased by
addition
sum of
14^2 expanded form
14 x 14
Identity Property of Addition
The sum of an addend and 0 is the addend.
Inverse Property of Addition
The sum of an addend and its additive inverse is 0.
x/2 + 4
The sum of half a number and four
Associative Property of Addition
The way in which three numbers are grouped when they are added does not change their sum.
Evaluate if y = 7 y +8
15
2 + 15
15 is more than 2
2^4
16
9/y
The quotient of nine and a number
11 + 9
The sum of 11 and 9
x² + 10
The sum of a number squared and ten
Evaluate when m = 3, k = 10 3k - 4m
18
4
18 - 4 x 3 - 2
12∧x = 144
2
Evaluate if y = 8 y/4
2
GCF 26 and 34
2
14
2 + 8 / 2 x 3
2
2 x 5 - 16 / 2
4x + 14
2(4x + 7) - 4x
7
20 / 5 x 2 -1
Evaluate if d = 5 3(d+2)
21
Evaluate if x = 10 2(3+x)
26
3^3
27
-1x + 17
2x + 9 + 8 - 3x
3x^2 + 7x - 3
2x^2 + 3x + x^2 - 3 + 4x
2^x = 8
3
4^x = 64
3
15
3 + 2 x 4 + 4
6x + 23
3(2x + 5) + 8
Evaluate when m = 3, k = 10 mk
30
Evaluate when m = 3, k = 10 7m + k
31
Evaluate if y = 4 8y
32
6^2
36
LCM 4 & 9
36
7w - 14x
3w - 11x + 4w - 3x
12x - 7
3x - 7 + 9x
4^1
4
15 - 4
4 is less than 15
4 - 15
4 less 15
Commutative Property of Multiplication
4 x 6 = 6 x 4
LCM 8 and 10
40
5 plus the product of 5 and x
5 + 5x
Expanded form 5∧4
5 x 5 x 5 x 5
44
55 ÷ 11 + (13 x 3)
5x, 2y, 4, 2
5x + 2y + 4 - 2 What are the terms?
14x + 7
5x + 7 + 9x
9x^2 - 1
5x^2 - 3x + 3 + 4x^2 + 3x - 4
Evaluate when a = 3, b = 10 20a / b
6
6 times the difference of x and 4
6 (x - 4)
2
6 - 2 x 2
the quotient of 6 and a number x
6 / x
Inverse Property of Multiplication
6 x 1/6 = 1
24x + 48
6(4x + 8)
Evaluate when m = 3, k = 10 2mk
60
LCM 12 and 15
60
Evaluate if y = 4 3+y
7
GCF 14 & 35
7
8
7 + 4 / 4
Identity Property of Mulitplication
7 x 1 = 7
35
7 x {45 ÷ [13 - (3 + 1)]}
5x + 6
9 - 6 + 7x - 2x + 3
(3/4)^3
9/64
The number in front of the variable
Coefficient
A number that never changes (the numbers that are not attached to the variable) Think Unit Rate!!!
Constant
2x + 5
Double a number increased by five
Equivalent Expression using GCF 78+91
Equivalent Expression 13(6+7)
Equivalent Expression using GCF 54+72
Equivalent Expression 18(3+4)
Equivalent Expression using GCF 42+57
Equivalent Expression 3(14+19)
Equivalent Expression using GCF 20x + 64
Equivalent Expression 4(5x+16)
Equivalent Expression using GCF 45x + 25x
Equivalent Expression 5x(9+5)
Equivalent Expression using GCF 56+48
Equivalent Expression 8(7+6)
Equivalent Expression 6(9+3x)
Equivalent Expression using GCF 54+18x
8x + 16x = 24x
Evaluate 4x (2 + 4)
10x - 15
Evaluate 5(2x - 3)
16x^2 + 24x
Evaluate 8x(2x + 3)
6
How many terms are in 5x^2 - 3x + 3 + 4x^2 + 3x - 4?
x + 6
Six more than a number
Part(s) of an algebraic expression of equation that are separated by operations (always include the sign in front of the term)
Terms
11 - 9
The difference of 11 and 9
2x - 5
The difference of twice a number and five
Commutative Property of Addition
The order in which two numbers are added does not change their sum.
Commutative Property of Multiplication
The order in which two numbers are multiplication does not change their product.
11 x 9
The product of 11 and 9
Identity Property of Multiplication
The product of a factor and 1 is the factor.
Inverse Property of Multiplication
The product of a factor and its multiplicative inverse is 1.
9y
The product of nine and a number
11/9
The quotient of 11 and 9
multiplication
double
addition
increased by
inequality
less than <