5+(-20)-(-5)
-10
12+2(4+3*4)
44
5x-7+2x+8
7x+1
5B-(-30)=10
B=-4
(2/7)+(3/4)-(5/7)*2
-11/28
-6+(-18)-10
-34
3+(4*5-6)÷2
10
4R-(-8)-8R+10
-4r+18
8n-22=33-3n
n=5
TRUE OR FALSE
The following is an example of the distributive property.
5(x-y+7)
Explain why.
True! This is a multiplication problem. You can distribute the 5 to each of the terms in the parentheses, which would result in:
5x-5y+35.
-52+63-(-5)
16
(-8)2 + 4(4-7)(-1)(-1)
52
5y(3y-4)+4y+6
15y2-16y+6
4(7C+3)=3C-13
C=-1
Could the following expression be a result of the distributive property? If so, list possible factors.
36x+12
Yes!
12(3x+1)
6(6x+2)
3(12x+4)
4(9x+3)
2(18x+6)
A negative _________ a
Negative will always be ____________. Explain.
Plus, Negative. This means a negative will continue to get more negative (i.e. adding negative reviews to an already poor movie)
(2+2(72-30))/(3*2+(-7))
-40
4G(G-2)-(-9G2)+3(G+3)
13G2-5G+9
8(4x+5)=6(3x-1)-10
x=-4
Harry orders two large pizzas, so that he can eat some for dinner and have leftovers. He eats ¾ of a pizza for dinner one night. He then eats ⅜ of a pizza per meal until both pizzas are gone. How many leftover meals does it take for Harry to eat the whole pizza?
¾ + ⅜x=2 OR 2-⅜x=¾
x=10/3
Without solving, identify which of the following are equivalent.
((4+5)÷3)2-4+4*8
37
2x(3y-x+3)+4y(4x+3)
22xy-2x2+6x+12y
-24+3G(G-4)=-12(G+1)
G=2
Define the following terms:
Absolute Value
Coefficient
Reciprocal
Absolute Value - Distance from zero
Coefficient - the number in an equation that is multiplied by the variable
Reciprocal - a pair of numbers whose product is one; reciprocal of a fraction is its opposite, i.e., when you swap the numerator and denominator