Products
Do you remember the multiplicative properties of 0 and -1?
axx0=0
and
axx(-1)=-a
Write two ways to show a divided by b.
a/b or a÷b
Can you remember some of the terms we use to call the value of a variable that makes a sentence true?
Nouns: Solution or root.
Verbs: we solve, or satisfy the equation
Please give some words used in problem solving to mean "add".
Increase, add, more, sum
True or False: the product of two negative numbers is positive.
False.
The product of two negative numbers is positive.
In your own words, what is a reciprocal?
Also known as "multiplicative inverse":
a/b => b/a
"Transform" this equation: 5(2z-9)=7z-60
(Hint: Transform is to simplify/expand as needed and solve)
1. Simplify the left:10z-45
2. Add 45 to both sides: 10z=7z-15
3. Subtract 7z from both sides: 3z=-15
4. Divide both sides by 3: z=-5
Bonus: what are the rules/properties we used here? Close enough counts!
Please give some words used in problem solving to mean "subtract".
Less, difference, fewer, decrease
Solve:
|2xx(-4)|
=|2|xx|-4|
=2xx4
=8
How much wood could a wood chuck chuck?
I ran out of interesting math things to put here :) Free points!
True or false: an equation with one variable must have at least one root.
False. Example:
3(2x-3)=6(x+1)-10
Please give some words used in problem solving to mean "multiply".
Times, "of" (as in with decimals/fractions/percents: 34% of 19=.34xx19
What happens when you multiply by zero?
The answer is zero.
Simplify 12÷4 by using a reciprocal rather than math facts.
=12*1/4
=3
Give an example of a formula.
Slope-intercept form: y=mx+b
Physics: h=-16t^2+vt
Volume of a Pyramid: V=1/3s^2h
Translate the following two expressions into "math":
1. 7 less than a number
2. Three times a number and eight
1. n-7
2. 3n+8
Simplify:
2(-3x)(-5y)
Property of the Opposite of a Product -ab=(-a)b and -ab=a(-b)
So:
=2(-3)(-5)xy
=xy
True or false:
c/(a+b)=c/a+c/b
False. Example:12/(2+4)≠12/2+12/4
True: (a+b)/c=a/c+b/c
One of the following numbers is NOT a solution of 2z(z-4)(z+3)=0
4, 3, or 0?
4: yes
3: no
0: yes
How would you represent consecutive integers in terms of x ?
Consecutive odd integers?
Consecutive even integers?
...x-1, x, x+1, x+2...
...x-2,x,x+2,x+4...
...x-2,x,x+2,x+4...