MATH EXAM GRADE 10

Question 1

If the lines have the SAME slope but DIFFERENT y-int how many solutions are there and what type of lines is it

Answer 1

-Zero solutions
-lines are parallel

Question 2

If the lines have DIFFERENT slope and DIFFERENT y-int how many solutions are there

Answer 2

-1 solution

Question 3

If the lines have the SAME slope and the SAME y-int how many solutions are there

Answer 3

-Infinit solutions

Question 4

Do you add or subtract if the coefficients sign are the same for elimination

Answer 4

subtract

Question 5

Do you add or subtract if the coefficients sign are different for elimination

Answer 5

add

Question 6

steps on how to find perpendicular bisector

Answer 6

1. find the midpoint of the line segment
2. find the slope of the line segment
3. find the negative reciprocal of the slope
4. sub the midpoint and the negative reciprocal into y=mx+b

Question 7

steps on how to find the median

Answer 7

1. find the midpoint of side opposite from the vertex
   2.find slope using Midpoint and vertex
   3.sub the slope and one known point that lies on the median into the equation y=mx+b to find “b”

Question 8

steps on how to find altitude

Answer 8

1. find slope of sides opposite from vertex
2. find negative reciprocal of the slope
   3.sub the vertex and negative reciprocal into y=mx+b

Question 9

steps on how to find shortest distance

Answer 9

1. find equation #1
   2.find the negative reciprocal
2. use the negative reciprocal and the point to sub into y=mx+b
3. use elimination or substitution to find the POI of the two lines
   5.find the distance from the point P and the POI

Question 10

if the first differences are constant the relation is….

Answer 10

linear

Question 11

if the second differences are constant the relation is….

Answer 11

quadratic

Question 12

How to find the y-int when doing first differences

Answer 12

take the equation and sub the x-int for x to solve for y

Question 13

how to find first and second differences

Answer 13

start from the bottom and minus the y-int, and for second differences use the first difference results

Question 14

if something is linear what form is it in and how many exponents does it have

Answer 14

form= y=mx+b
and there is an exponent of 1

Question 15

if something is quadratic how many exponents does it have

Answer 15

2

Question 16

if the a value is postive which way does the parabola open

Answer 16

upwards

Question 17

if the a value is negative which way does the parabola open

Answer 17

downwards

Question 18

when given somthing in vertex form what letters are the vertex

Answer 18

h and k and always switch the sign of h when graphing

Question 19

when something is in vertex form how do you find the axis of symmetry

Answer 19

its the x value in the vertex

Question 20

when given something in vertex form how do you graph it

Answer 20

plot the vertex and then use step pattern

Question 21

when something is given in factored form what are the x-int

Answer 21

r and s

Question 22

how do you find the axis of symmetry in factored form?

Answer 22

x=r+s/2

Question 23

how to find the y-int/vertex of something in factored form

Answer 23

sub in the axis of symmetry (x) into the equation to find y

Question 24

if the a value is negative is it a max or min

Answer 24

max

Question 25

if the a value is postive is it a max or min

Answer 25

min

Question 26

greater then 1 the parabola is vertically _________ by a factor of a

Answer 26

stretched

Question 27

between 0 and 1 the parabola is vertically ___________ by a factor of a

Answer 27

compressed

Question 28

if a=1 there is ______ vertical stretch or compression

Answer 28

no

Question 29

how do you know if there is a reflection in the x-axis

Answer 29

if the “a” is negative, there is a reflection over the x-axis.

Question 30

If the k value is positive the parabola is vertically translated k units ____

Answer 30

upwards

Question 31

If the k value is negative the parabola is vertically translated k units ____

Answer 31

downwards

Question 32

if h is greater then 0 it shifts _______

Answer 32

right

Question 33

If h is less then 0 it moves h units ___

Answer 33

left

Question 34

what is a parent function

Answer 34

y=xsquared

Question 35

how to find the step pattern?

Answer 35

multiply a by the original step pattern (1,3,5)

Question 36

when doing word problems involving vertex and factored form use vertex form if given _____

Answer 36

the vertex and another point

Question 37

when doing word problems involving vertex and factored form use factored form if given _____

Answer 37

the x-int and another point

Question 38

what is vertex form

Answer 38

y= a (x-h)squared + K

Question 39

What is factored form

Answer 39

y = a (x-r) (x-s)

Question 40

how do you expand polynomials

Answer 40

using FOIL
First
Outisde
Inside
Last
after multiplying each term collect and combine any like terms

Question 41

how many terms is in a difference of squares

Answer 41

2

Question 42

what is the difference between complex trinomials and simple trinomials

Answer 42

in simple trinomials a=1

Question 43

what does a perfect square trinomial look like

Answer 43

asquared+2ab+bsquared

Question 44

If D＞0 then….

Answer 44

there is 2 x-int (2 real roots)

Question 45

If D=0 then…

Answer 45

There is 1 x-int ( 1 real root)

Question 46

if D＜0 then…

Answer 46

There is 0 x-int (no real roots)

Question 47

when do you use inverse when solving triangles

Answer 47

to find a missing angle

Question 48

when do you use SOH CAH TOA

Answer 48

solving a missing side length