Rules to Remember

Question 1

If you are solving for x in an equation that typically have a denominators look like this (x-4 or x+3x+9) and the question is telling you “if there is more than one solution, sepearate them with commas. If there is no solution click No solution” What steps should you take?

Answer 1

Find the LCD and then EXCLUDE the values, so if we get them in the answe, we don dont type them

Question 2

When solving for an equation such as (10x-1)^3/4 what two rules should you rember (hint: x^2=c)

Answer 2

Rule 1: Both will be raised to an even number which means you must check the answer in case there are other solutions.
Rule 2 : If the number is negative click on “No solution” and if it positive there will be two solutions + and -

Question 3

If you get in you answer 0=3 or any number, what does that mean?

Answer 3

No solution

Question 4

If you get in you answer 0=0 or any number, what does that mean?

Answer 4

All real numbers are solutions

Question 5

When you get an equation looks like this (-35=-7/5 w) and it is asking you to solve for w what should you do?

Answer 5

Multiply the reciprocal of -7/5 which is -5/7, on both sides

Question 6

-3-5i conjugate is

Answer 6

-3+5

You will need to multiply it with the denominator.

Use it when solving proplems such as 1-3i/-3-5i. to multiply both with the conjugate -3+5

Question 7

When you get an equation such as y+2/7 = 5/4 what method can you use to solve it?

Answer 7

Method of cross product 4(y+2) = 5.7

Question 8

When you are asked to find the Discriminant and the Number of real number with an equation looks like this 9x^2-6x+1, what should you do?

Answer 8

Use the equation under the square root of the quadratic formula which is b^2 - 4(a)(c) and start solving. If the answe was a positive number, the number of real numbers is 2, if the answer is negative the number of real numbers is 0, if the answer is 0 then the number of real numbers is 1

Question 9

How to solve i^59

Answer 9

The factor 2 cannot give us a 59 product, so in this case we will do the following i^58 i then (i)^29 because 2x28=58. Then we will use the fact i = -1 and do the following (-1)^29 i ,we cancel the 29 and get the following (-1) i which give us the following answer -i

Question 10

What should you do when you face a shape that gave you the perimeter and asking you to find the value of x

Answer 10

add all the equations that is shown on the shape sides and solve the equation

Question 11

How to solve D= 4/7(F+G) Which have only one denominator

Answer 11

Since it have the numenator and denominator as real numbers4/7 Ww will multiply it in both sides (when multiplying we convert the numenator with the denominator) and solve we will get 7/4 D-G = F

Question 12

ALWAYS REMEMBER WHEN SOLVING A RATIIONAL EQUATION TOOO:

Answer 12

Find the LCD and exclude the valuse, so if I got the exluded value when answerimng the equation, then I should select “No answer” or not write it down.

Question 13

If a equation asks you to find how much a (something) will be produce in a set of time (such as 45min) if it is usually produces 240 in 25 min. What should you do?

Answer 13

Divide the quantity (240) with the time (25) 240/25 = 9.6. Then I will multiply the answer (9.6) with th time (45 min) which gives me 432

Question 14

How to multiply (-6+5i)(-3+3i)?

Answer 14

We use the FOIL method (18-33i+15i^2) and then we convert the last number which has i^2 (since i^2 is -1, 15i^2 is -15, and so on) and then we subtract the first and last numbers (the 18 and -15 which give us a 3) The final answer will be 3-33i which is a complex number

Question 15

-3 square root will be

Answer 15

i with 3 as a square root (the i should be behind the square root not after)

Question 16

What should be the first step to solve this quation (w-3)^2=2w^2-15w+27
(EQUATION)^2= EQUATION

Answer 16

The first step should be to move the (EQUATION)^2 to the other side WITH SIGNS if it was positive than it should be negative. It should look like this 0= EQUATION(EQUATION)^2 and then you use the FOIL method to solve the (EQUATION)^2 and then you continue to solve the equation.

Question 17

What steps should you take to find the area of a rectangle? (e.q area 52 and length is 5 less than double the width)

REVIEW THIS

Solving a word problem using a quadratic equation with rational roots

Answer 17

First write the equation for the length which in this case will be L=2w-5, convert the L to W with will be (2w-5)w= 52 and start to solve for the width. To solve for the length you need to solve using L=2w-5. Take the answer you got from the width which will be 6.5 and solve it.

Question 18

How to solve the following -4 |w| = 12

Answer 18

We have to move the -4 to the other side (the 12) and we will doing this be dividing 12/-4 which will give us |w| = -3 since it is negative the answer will be “No solution but if it was positive the answer will be w= 3,-3

Question 19

How to solve the following -3+square root of w+3 = 6

Answer 19

First we move the -3 to the other side and it will give us 9. To cancel the square root we have to square both sides to a power of 2, and we will get the following w+3=9^2 then w+3=81. To solve w we have to move the 3 to the other side and the final answer will be w = 78

Question 20

FOUCUS ON SIGNS

Answer 20

ok

Question 21

Always let the number with i in the last such as

Answer 21

8i + 4 should be 4 + 8i

Question 22

How to solve the following problem 5u^2+15u=0

Answer 22

Sinc ther is a u in both sides we will simplify it to 5u(u+3). Then the equation will only be true if one of them is equal to 0. So, 5u= 0 and u= -3. Our answer will be u= 0, -3** (WRITE THE 0)**

Question 23

How to solve the following equation |5u - 6| = |9u + 2|

Answer 23

We have to solve this equation using** two diffrent types of soultions. The first we will take of the vertical | and start to solve, in this euation we will get -2 (some time it could be false and does not have any solution)** The second one we will take off the vertical |, but this time** the equation on the right side will be multiplyed with negative one -** {e.q - (9u + 2)} and you include both answers in the final answer.

Question 24

How to solve the following equation -6 |x| = -36

Answer 24

If the -6 was in the other side e.q |x| -6 we will use the opposite signel and move it to the other side of the equation. But, because it is -6 |x| we will divide it with the -36 so it will be -6|x|/-6 (which will cancel it and let the |x| alone) and -36/-6 and that will give us 6. So the final answer will be |x| = 6, -6

Question 25

Rule to remeber with eqations that have a variable on it denominator or numinator and a number on it* denominator or numinator *

Answer 25

In this case we multiply each number in the equation with the denomiantor whether it is a number or variable. If all were varibales or numbers e.q 2/3 then in this case we will multiply the sides of the equation with 3/2. Which is the opposite of 2/3