03 - Assesment 1

Question 1

What is the index?

Answer 1

It is the number of times the base is written.

Question 2

What is the base?

Answer 2

It is the factor in the product.

Question 3

What is the index law for multiplication?

Answer 3

When multiplying terms with the same base add the powers -
a(m) x a(n) = a(m + n)

Question 4

What is the index law for division?

Answer 4

When dividing terms with the same base subtract the powers -
a(m) / a(n) = a (m - n)

Question 5

What is the index law of a power

Answer 5

When raising a term in index form to another power, retain the base and multiply the indices -
(a[m])[n] = a(mn)

Question 6

What is the zero index?

Answer 6

Any expression except 0 raised to the power of zero is 1 -
a(0) = 1

Question 7

What is the index law for brackets?

Answer 7

When multiplying two or more numbers raised to the power of m, raise each number in the brackets to the power of m -
(a x b)[m] = a(m)b(m)

Question 8

What is the index law for fractions?

Answer 8

When dividing two numbers raised to the power of m, raise each number in the brackets to the power of m -
(a/b)[m] = a(m)/b(m)

Question 9

How do you express a begative index as a positive index?

Answer 9

a raised to the power -m is equal to the reciprocal of a raised to the power m -
a(-m) = 1/a(m)

Question 10

What does it mean to round?

Answer 10

To shorten a number to a certain decimal or numeral.

Question 11

How do I round?

Answer 11

If the critical digit is less than 5. you round down. However, if the digit is more than 5, you round up

Question 12

What is a significant digit?

Answer 12

A number of digits that are meaningful.

Question 13

How do I identify a significant figure?

Answer 13

A significant figure is the first figure that is not zero.

Question 14

What is the difference between zeros in whole numbers and decimals in terms of significance?

Answer 14

Zeros at the end of a whole number are not significant, whereas zeros at the end of a decimal are significant.

Question 15

What is an approximation?

Answer 15

A result that is not exact, but close enough to be used

Question 16

What is an estimation?

Answer 16

It is to find a number that is close enough to the right number.

Question 17

What is precision?

Answer 17

The smallet measurement available. For example, a standard ruler’s precision is 0.1 cm or 1 mm.

Question 18

How do I find the absolute error?

Answer 18

1/2 x precision

Question 19

What are the limits of accuracy

Answer 19

They are the endpoints for a recorded measurement. The possible upper and lower bounds.

Question 20

How do I find the upper bound?

Answer 20

Measurement + Absolute error

Question 21

How do I find the lower bound?

Answer 21

Measurement - Absolute Error

Question 22

What is scientific notation?

Answer 22

It is to write numbers using powers of 10

Question 23

What is another word for scientific notation

Answer 23

Standard form

Question 24

How will larger numbers be written in scientific notation

Answer 24

With positive integers

Question 25

How will smaller numbers be written in scientific notation

Answer 25

With negative integers

Question 26

How do you find the percentage error?

Answer 26

Absolute Error / Measurement x 100

Question 27

By how much would be multiply or divide from units to convert them?

Answer 27

1000

Question 28

By how much should be multiply or divide from digital units to convert them?

Answer 28

1000

Question 29

What is a pronumeral?

Answer 29

A letter in an expression or equation that represents an unknown quantity

Question 30

What is a term?

Answer 30

It is either a constant or a coeffecient

Question 31

What is an expression?

Answer 31

Algebraic terms with operations between them.

Question 32

What is a coefficient?

Answer 32

It is the number placed before a pronumeral

Question 33

What is a like term?

Answer 33

Two terms with the same pronumeral

Question 34

What is a constant?

Answer 34

A number without a pronumeral.

Question 35

How do you add or subtract fractions?

Answer 35

You must convert them by multiplying the terms so that the fractions have the same deominator

Question 36

How do you divide a fraction?

Answer 36

You must multiply it by it’s reciprocal

Question 37

How do you simplify algebraic fractions?

Answer 37

By factorising where possible and cancelling out any common factors.

Question 38

How do you multiply algebraic fractions

Answer 38

You must first simplify the fractions, then multiply them.

Question 39

How do you factorise an expression?

Answer 39

You must find the highest common factor of the two or more terms. You must then multiply the highest common factor with the remaining expression.

Question 40

What are binomial expressions?

Answer 40

They are an expression with exactly two terms.

Question 41

What is a binomial product?

Answer 41

It is a product of to binomial expressions.

Question 42

How do you expand a binomial expression?

Answer 42

By using the FOIL method - 1 - Mutliply the first term of the first expression with the first term of the second expression. 2 - Mutliply the first term of the first expression with the second term of the second expression. 3 - Mutliply the second term of the first expression with the first term of the second expression. 4 - Mutliply the second term of the first expression with the second term of the second expression. You then simplify the expression as much as you can.

Question 43

What is a perfect square?

Answer 43

It is when a binomial expression is multiplied by itself, also known as when the binomial expression is squared.

Question 44

What is a conjugate?

Answer 44

It is when, in algebra, you change the sign from a plus to a minus, or a minus to a plus.

Question 45

What is a difference of two squares?

Answer 45

It is qhen a pair of conjugates are multiplied together.

Question 46

How do you factorise using the difference of two squares?

Answer 46

You can either - 1 - Multiply a binomial expression by its conjugate OR 2 - First take out the highest common factor and multiply that by the difference of two squares, which then turns into a binomial expression multiplies by its conjugate.