Translating
Translate: The sum of 4 and 3 times 2
4+3x2=10
Solution:
Sum = addition
The sum of 4 and 3 = 4+3
Times 2 = x2
Define substitution
What is a method of solving systems of equations by substitution equations within one another?
Give an example of property of zero
What is ex: 100x0, 1x0, 10x0, 23x0, and etc.?
3x+3+3x+3+3=?
What is 6x+9?
Solution:
3x+3x=6
3+3+3=9
Define distributive property [hint: () ]
What is to multiply within the ( )?
5 less than three times the sum of a number and 2
What is 3(x+2)-5?
2x+y=7
y=5x
What is x = 1?
Solution:
2x+(5x)=7
7x=7 then divide both by 7
What type of property is this equation:
a times 1 = a
a+0 = a
What is Identity property?
Identity property is where the equation stays the same or equal to the other equation!
8a-4+3a-3q+7
What is 11a+3-3q?
Solution:
8a+3a=11a
-4+7= +3-3q
11a+3-3q
3x(3x+7)-(1-2)
What is 9x^2+21x+1?
Solution: 3x(3x)=9x^2 3x(7)=21x
-(1)= -1 -(-2) = +2
+2-1=+1 then add together 9x^2+21x+1
The quotient of 4 less a number and 6
What is 4-x/6?
Solution:
9x+3y=29
y = 4x+9
What is x = 2/21?
Solution:
9x+3(4x+9)=29
9x+12x+27=29
21x -27 -27
21x=2 then divide both by 21
Name three of the Algebraic Properties
What is the following, Commutative Property, Associative Property, Identify Property, Inverse Property, Property of Zero, Distributive Property?
3x^2+4x-2^2-7x+5
What is x^2-3x+5?
Solution:
3x^2-2x^2=x^2
4x-7x= -3x +5 x^2-3x+5
2(2/5m+5)+3/5(2m)
2m+10 or 10/5m+10
Solution:
2(2/5m)=4/5 2(5)=10 3/5(2m)=6/5
6/5m+4/5m+10 then Simplify
2m+10