Maths, Sem 2, (Yr 7)

Question 1

Variable

Answer 1

-A variable/pro numeral is a letter/s used to represent an unknown number e.g x,ab,y

Question 2

Coefficient

Answer 2

• A number that multiplies a variable

- multiply sign is hidden e.g 3x

Question 3

Operation

Answer 3

• addition, multiplication, subtraction, division e.g +

Question 4

Constant

Answer 4

-A number that doesn’t have a variable “attached” to it

Question 5

Terms

Answer 5

• E.g 3x+4

3x = term, +4 = term

Question 6

Expression

Answer 6

-Collection of terms subtracted or added together e.g 5m+8d

Question 7

Equation

Answer 7

• 2 expressions found either side of an equals sign e.g

1a+2b = 3c-4d

Question 8

Like Terms

Answer 8

• Number with the same pronumeral/s e.g 3ab and 7ba
• No indices between or at the end
• Pronumerals way be in different order

Question 9

Substitution

Answer 9

• replacing a variable with a value. Rule/Steps:
  E.g 2b + 2p + 2r. 1. Written expression
  =(2) + 2(-1) + 2(5). 2. Us in values
  =2 -2 + 2. 3. Simplify
  4. Solve

Question 10

The Cartesian plane

Answer 10

The have a:

• x axis
• y axis
• origin
• quadrants (1,2,3,4)

Question 11

Finding value of x

Answer 11

•X/3 + 4 = 7 •x=
/3. +4
X = x/3 = x/3 +4

9=. 3. 7
x3. -4

Question 12

How to simplify

Answer 12

Collect all like terms (numbers before Pronumerals can be different) include symbol before the term when simplifying

Question 13

Inverse definition

Answer 13

Means opposite, used in backtracking

Question 14

Forms of fractions

Answer 14

2 1/2=
2=whole number
   1=numerator
    /=viniculum
    2=denominator

Question 15

Proper, improper, mixed fractions

Answer 15

Proper-numerator smaller than denominator
Improper-numerator bigger than denominator
Mixed-whole number and fraction

Question 16

Adding fractions

Answer 16

• make denominators the same

- whatever you do to the denominator, do to numerator

Question 17

Definition of fraction

Answer 17

Represents part of a whole

Question 18

Equivalent fraction definition

Answer 18

Value remains same
Digits change
E.g 3/5 is equivalent to 9/14

Question 19

Cross check method

Answer 19

E.g 3/4 = 15/20
=3times 20= 4times 15
Correct!

Question 20

Simplest form definition & finding simplest form

Answer 20

The numerator & denominator have no other common denominator than 1.
Divide both n & d by HCF. (must be same number)

Question 21

Comparing mixed fractions & fractions

Answer 21

Comparing fractions= 1. Find LCM of denominator
2. Find equivalent fractions with common denominators
3. Compare fractions
Comparing mixed fractions= 1. Whole numbers stay same, find LCM of denominator in fractions
2. Find equivalent fractions with common denominators
3. Compare fractions

Question 22

Comparing fractions & mixed fractions on a number line

Answer 22

1. Find LCM of all denominators
2. Find equivalent fractions with same common denominator
3. Draw appropriate time line, divide into equal parts (LCM values), label fractions

Question 23

Adding fractions (same denominators, unlike denominators)

Answer 23

Same= add numerator, simplify 
Unlike= make denominator the same using LCM, add numerator, simplify

Question 24

Subtracting fractions (like, different denominators.)

Answer 24

Like denominators~Estimate, subtract numerators, leave denomi, write answer mixed simplified.
Unlike denominators~Estimate, identify LCM all denomi, rewrite with denomi LCM, subtract numerators, write simplified/mixed

Question 25

Multiplying fractions and cancelling down method

Answer 25

Basically just multiply nu by nu and de by de!
To cancel down you can cancel down any common factors, must be a nu and de (not a nu and nu or de and de)
Check out fractions flip no. 8 in flip book

Question 26

Dividing fractions

Answer 26

Save it, change it, flip it. E.g. 4 divided by 1/2 =8

4. Times. 2/1. (Becomes 4 times 2/1) =8

Question 27

Dividend and Divisor definition

Answer 27

Dividend= the thing (numeral) you are dividing
Divisor=by what you are dividing the thing (dividend)
E.g= 12 divided by 3 12 is dividend, 3 is divisor