Addition and Subtraction
If I have 5 apples and 3 bananas, and someone gives me 2 more apples but takes a banana, how many of each fruit do I have?
7 apples and 2 bananas
If a breeder owns 10 dogs and his number of dogs triples, how many dogs does he now have?
30 dogs
I have 2 cakes that are each sliced into 9 pieces. If I divide the pieces evenly between 6 people, how many pieces does each person get?
3 pieces
Is this an expression or an equation:
3x+5
It's an expression because there is no '='.
Simplify by collecting like terms:
3x+4x
7x
Simplify:
4\times x
Re-write as a fraction:
5x\div3
(5x)/3
Identify the constant in this equation:
4x+5=y
5
Simplify by collecting like terms:
10x+5x-3y+y
15x-2y
Simplify:
4\times 3x
12x
Re-write as a fraction and simplify:
4a\div8b
(4a)/(8b)=a/(2b)
Identify the coefficient in this expression:
3x+2
3
Simplify by collecting like terms:
4x^2-3x+2x^2-y
6x^2-3x-y
Simplify:
8x\times 2y
16xy
Re-write as a fraction and simplify:
32ab\div8b
(32ab)/(8b)=4a
Identify the pronumerals/variables in this equation:
y=x^2-3x+2
y and x
Simplify by collecting like terms:
7x^2-8y^2+10x+4y^2-7x^2
-4y^2+10x or 10x-4y^2
Simplify:
3x\times2y\times10x\times3
180x^2y
Re-write as a fraction and simplify:
24x^2y\div16xy^2
(24x^2y)/(16xy^2)=(3x)/(2y)
List all of the terms in the following expression:
4x^2+3x+2-y+7y^2
4x^2,3x,2,y,7y^2