Algebra 2 Flashcards
What does the symbol ≥ mean?
Greater than or equal to
How should you check your answer when solving simultaneous equations?
Substitute your values for x and y into the other equation
When factorising a quadratic equation:
If the equation has a positive value for the last number,
what does it tell you about the signs for the factor pair chosen?
They will be the same
+ and +
OR
- and -
How do you find the next term in a Fibonacci type sequence?
Add the previous two terms together
True or False?
x ≤ 7 means x is greater than or equal to 7
False
It means
x is less than or equal to 7
What is the first thing you would do to solve the simultaneous equations?
3x - 4y = 2 and 2x + 5y = 9
Multiply both equations by numbers that will make the coefficients of x or y the same
e.g.
Multiply the first by 2
to give you 6x - 8y = 4
Then multiply the second by 3
to give you 6x + 15y = 27
If you multiply or divide both sides of an inequality by a negative number,
What happens to the inequality sign?
It is turned around
What is meant by the ‘common difference’ of a linear sequence?
The value you add or subtract to go from one term to the next
How can you prove that a statement is false?
Find an example that doesn’t work
Is 25 a term in the sequence
6n + 1 ?
Yes
6(4) + 1 = 25
It is the 4th term
What is the standard form of a quadratic?
x2 + bx + c = 0
b and c are numbers
What is a geometric sequence?
A sequence where you
multiply/divide
to go from one term to the next
True or False?
When n is an integer,
9n + 6
is always a multiple of 3
True
6 is a multiple of 3
9 x something will always be a multiple of 3
Which to symbols are represented by an open circle on a number line?
< and >
What is the rule for this sequence?
2, 6, 18, 54, …
Multiply by 3
It is a geometric sequence
How do you solve a factorised quadratic equation?
Find the values of x that will make each bracket equal zero
Prove this statement is false.
‘The product of two primes is always odd’
2 x 3 = 6
What is meant by the nth term of a linear sequence?
A rule that gives the terms in the sequence,
when you put in different values of n
Factorise
x2 - 6x + 8
(x - 4)(x - 2)
When solving simultaneous equations:
What do you do with the value of the first variable,
to find the value of the second variable?
Substitute it back into one of the original equations
What does the symbol ≡ mean?
It is the Identity symbol
The statement is always true for all values
How do you get from one term to the next in a linear sequence?
Add/Subtract the name number each time
How would you decide if a term is in a sequence?
Set the nth term equal to the number and then solve it.
If it is a whole number answer then it is in the sequence
What does the inequality
2 < x ≤ 7
mean?
x is greater than 2
and
less than or equal to 7