Multiplying and dividing expressions
True or false
The order in which we multiply is important and can only be one one way.
False
Due to the communicative property of multiplication, the order in which we multiply is not important.
2x4 and 4x2 both equal 8
true or false
Like terms are terms containing different pronumerals in the exact same order.
false
Like terms are terms containing exactly the same pronumerals not necessarily in the same order
true or false
when using the distributive law to expand brackets, everything on the outside of the bracket gets added to each term inside the brackets
False
when using the distributive law to expand brackets, everything on the outside of the bracket is multiplied by each term inside the brackets
write an expression for the following;
The total cost of 10 bottles if each bottle cost $b
10b
a=5 and b=2,
Evaluate the following
3a+b+7
24
simplify the following
9rx4r
36r2
17+3e-d
If yes provide the answer
No this expression cannot be simplified by collecting the like terms because there are no like terms
Expand the following
9g(3z-2)
27gz - 18g
If tins of paint weigh 9kg, write an expression for the weight in kg of t tins of paint
9t
simplify the following by collecting the like terms;
7a+2b+5+a+3b
8a+5b+b
write an expression for the following without using a division sign
(2x+y) divided by 5
2x+y
_____
5
simplify the following by collecting the like terms
7u+3v+2uv-3u
4u+3v+2uv
Use the distributive law to expand the following;
10(8-y)
80-10y
Write an expression for the total number of books that Joanna owns if she has b fiction books and twice as many non-fiction books
3b
a taxi driver charges $3.50 to pick up passengers and then $2.50 per kilometre travelled.
Write an expression for traveling a distance of d kilometres.
3.5+2.5d
simplify
4t X 3yz
12tyz
Simplify the following by collecting the like terms
7ab+32-ab+4
6ab+36
Expand the following using the distributive law
4e(m+10y)
4em+40ey
a car travels at 70km/h, so in n hours it travels 70n kilometers.
How far does the car travel in 3 hours (n=3)
210km
Simplify the following
4ab
_____
2bc
2a
____
c
replace the ? with algebraic terms to make these equivalent statements true
2a X 2b X ? = 28abc
7c
2a X 2b X 7c = 28abc
Amber and Sarah each work for n hours per week, Amber earns $27 per hour and Sarah earns $31 per hour.
- Write a simplified expression for the total amount Amber and Sarah earn in one week -
27n+31n
=
58n
The fully simplified form of 2(a+7b)-4b
2a+10b
Hiring an party hall cost $10 for a booking fee, plus $50 an hour.
write an expression for the total cost to hire the hall for p hours
10+50p
a square is cut in half and the two identical rectangles are joined to form a rectangle (shown on the white board).
write an expression for the perimeter of the rectangle if the square has a side length of;
w+y
P= 5(w+y)