Survival Guide Exam Studying

Question 1

how do you add integers with different signs?

Answer 1

look at the bigger number and subtract the smaller number from the bigger number and add the bigger numbers sign

Question 2

How do you add integers with the same signs?

Answer 2

add normally and add the right sign after

Question 3

How do you subtract integers with different signs?

Answer 3

Change the positive to a negative and add them normally. Add a negative sign at the end

Question 4

how do you subtract integers with the same sign?

Answer 4

Subtract normally and add appropriate sign after

Question 5

What are the multiplying and dividing rules for integers?

Answer 5

two of the same sign make a POSITIVE and two different signs make a NEGATIVE. (multiply and divide normally)

Question 6

What is BEDMAS?

Answer 6

Brackets
Exponents
Division 
Multiplication
Addition
Subtraction
It is the order you solve multi step equations

Question 7

How do you add an dsubtract fractions?

Answer 7

1. change all fractions into improper fractions
2. find a common denominator for all fractions by multiplying or dividing
3. add or subtract the numerators an dleave the denominators the same. reduce if possible

Question 8

How do you multiply fractions?

Answer 8

1. change all into improper fractions

2. multiply nmerator by numerator and denominator by denominator

Question 9

How do you divide fractions?

Answer 9

change all into improper
flip the second fraction around
multiply straight across

Question 10

How do you simplify exponents when you are multiplying them together and they have the same base?

Answer 10

if they have the same base you add the exponents together

Question 11

How do you simplify exponents when you are dividing them and they have the same base?

Answer 11

subtract the exponents

Question 12

How do you simplify when you have a power to a power?

Answer 12

If they have the same base, multiply the exponents together

Question 13

What is a literal coefficent?

Answer 13

refers to the letters or variables (things we dont know) This is the piece directly from the equation ex. 4y, -3qw

Question 14

What is a numerical coefficent?

Answer 14

refers to the number in front of a variable including the sign

Question 15

How do you solve for x with fractions?

Answer 15

1. make sure all numbers are as a fraction and find a common denominator
2. multiply all numerators by the common denominator
3. divide each term by it’s denominator
4. isolate the variable normally

Question 16

What is Pythagorean theorem?

Answer 16

a(squared)+b(squared)=c(squared)

Question 17

What is a direct variation?

Answer 17

goes through coordinates (0,0), does not have a constant number, does not have a flat fee or initial cost/value ex. C=30n

Question 18

What is a partial variation?

Answer 18

Does not go through coordinates (0,0), has a constant number, has a flat fee or initial cost/value. ex. C=30n+5

Question 19

What is standard form?

Answer 19

Ax+By+C=0

• there cannot be fraction
• A cannot be negative
• must equal 0

Question 20

What is slope-y-intercept form?

Answer 20

y=mx+b

• x and y are possible coordinates
• m is the slope
• b is the y intercept

Question 21

How can you tell if a line is parallel?

Answer 21

They have the same slope

they do not have a point of intersection

Question 22

How do you know if lines are perpindicular?

Answer 22

They have opposite slopes or negative recipricol slopes

Question 23

How do you find the equation of a line given slope and a point?

Answer 23

1. use the slope y intercept form and put in the values you know
2. Substitute x and y for the x and y coordinates given to you
3. solve for b
4. re-write the equation as slope y intercept (without x and y values)

Question 24

How do you find the equation of a line given 2 points?

Answer 24

Use the slope formula to find the slope.

2. use your slope and one set of coordinates to solve for b (like you have slope and one set of points)
3. re-write the equation in slope y intercept form

Question 25

How do you check your point of intersection?

Answer 25

you substitute the coordinates of the point of intersection into the equation (slope y intercept form) and solve to see if they balance out. Do this for the equation of both lines.

Question 26

How do you find the point of intersection between an undefined line and a zero slope?

Answer 26

You can just use their x and y as the coordinates because they both have either an x or y value.

Question 27

What is OAT?

Answer 27

Opposite angle theorem- opposite angles are equal

Question 28

What is SA?

Answer 28

Supplementary angles- angles that add up to 180 degrees

Question 29

What is CA?

Answer 29

Complimentary angles- angles that add up to 90 degrees

Question 30

What is ASTT?

Answer 30

Angle sum triangle theorem- all angles in a triangle add up to 180

Question 31

What is EAT?

Answer 31

Exterior Angle Theorem- exterior angle equals the sum of the 2 oppsoite interior angles

Question 32

What is ITT?

Answer 32

Isoceles triangle theorem- the angles opposite the equal sides are also equal

Question 33

What is ETT?

Answer 33

Equilateral Triangle Theorem- all angles are always 60 degrees

Question 34

What is TPT-F?

Answer 34

Corresponding angles- form an f pattern- corresponding angles are equal

Question 35

What is TPT-Z?

Answer 35

Alternating Angles- form a z pattern- alternating angles are equal

Question 36

What is TPT-C?

Answer 36

Co-interior Angles- form a c pattern- add up to 180