1.4 - Equations and Inequalities
what is the inverse operation for a cubed number
cubed root
What should you do if you have variables on both sides?
get rid of the smallest variable by cancelling it out
why should you keep indivisible answers as fractions?
because of irrational decimals
Any time you have a subtraction sign/negative sign, you must remember to _____
bring the sign down
Always remember to ______
simplify your answer
what is the inverse operation for a squared number
square root
Name the 3 rules for Equations and Inequalities
1. Clean up each expression (start on left side of equal sign, move to the right side of the sign) 2. Isolate the variable (variable can be on the left or right side; doesn't matter) 3. Solve for variable (variable must ALWAYS be POSITIVE)
what are the only two differences between doing equations vs inequities
1. change the equal sign for any one of the inequity signs 2. If you divide by a negative number flip the sign -x > ..-1 --- - ..-- -x .......-1 x<1
What are inequalities
> - greater than sign < - less than sign > - greater than or equal to sign - < - less than or equal to sign -
What should you do if this happens? --> x + 5 ----- < 4 3
multiply it by 3 to get rid of it so that there's just the x + 5 remember to multiply the 3 times the 4 too
Will you have 3 answers if you have to do a cubed root?
no, you will only get the positive version of that number -because multiplying 3 negative numbers will give you a negative answer, and you can't change the value
what do exponents on an "x" symbolize?
the amount of answers available ex. For example, if you had x^2 at the end of your answer and needed to do the inverse operation, which is square root, you would have the positive and negative version of that answer
What should you do if your variable is or has a fraction
to get rid of the fraction, multiply it by its reciprocal (meaning the flipped version of the fraction). this will give you 1x. you must also multiply the reciprocal on the other side. if needed put the number over one to make it a fraction.
what is an equation?
two expressions linked by an equal sign
What should you do if you have multiple answers due to a square root?
write all possible answers
how do you know what the answer is if there's an inequity sign?
you don't; there is an infinite amount of answers
