Chap. 5 - Expressions, equations and linear relationships

Question 1

what is a open circle used for in an inequality graph?

Answer 1

< and >

Question 2

what is a closed circle on an inequality graph used for?

Answer 2

⩽ and ⩾

Question 3

what do you do if you multiply or divide by a negative in an inequality equation

Answer 3

flip the sign!

Question 4

are inequalities written in ascending or descending order?

Answer 4

ascending

Question 5

how do you do an inequality equation with two signs?
e.g 6-4<x>1.1*1.2</x>

Answer 5

every operation must be performed to ALL SECTIONS OF THE EQUATION.
e.g 6<x-4>1.1*1.2 - 4
you must get x in the middle by itself</x-4>

Question 6

all lines can be expressed in the form of:

Answer 6

y=mx+c

Question 7

m =

Answer 7

gradient

Question 8

c =

Answer 8

y-intercept

Question 9

left to right increasing line is a

Answer 9

positive gradient

Question 10

left to right decreasing line is a

Answer 10

negative gradient

Question 11

a horizontal line has

Answer 11

zero gradient

Question 12

a vertical line has a

Answer 12

undefined gradient

Question 13

finding the gradient of a line with two points is done by

Answer 13

y2-y1/x2-x1

Question 14

to sketch lines, you need

Answer 14

the y and x intercept

Question 15

the x intercept is found when y is ____ and the y intercept is found when x is ____.

Answer 15

0

Question 16

how do you find the y-intercept of a line with 2 points?

Answer 16

sub in one of the points once you’ve found the gradient

Question 17

what is the point-gradient formula?

Answer 17

y-y1=m(x-x1)

Question 18

what do you need to do a point-gradient formula?

Answer 18

the gradient and one point

Question 19

if the line has the same gradient then it’s

Answer 19

parallel

Question 20

midpoint formula is

Answer 20

m=((x1 + x2)/2, (y1 + y2)/2)

Question 21

distance formula is

Answer 21

√(x2-x1)^2+(y2-y1)^2

Question 22

when is the substitution method best used?

Answer 22

when one of the equations has a pronumeral as the subject already

Question 23

in a simultanous equation:
if the signs are different you can ____
if the signs are the same you can ____

Answer 23

add, subtract

Question 24

if you can’t substitute and can’t eliminate:

Answer 24

look to multiply the equation. to eliminate, OR look to rearrange the equation to substitute