General Grade 10 knowledge
logarithmic
Algebra
Functions and Inverse Functions
Mental Math
100

What is the Quadratic Formula?


100
log525​​​

2

100

yx y 

y2 x y= y3

100

 find the inverse of the function f(x) = 2 x y

f-1(x) = y/2

100

8 + 8 x 8

8x8= 64
64+8= 72

200

What is the value of sin 30

0.5

200

log10

1

200

 A chocolate bar costs c pence and a drink costs d pence. Write down an expression for the cost of 2 chocolate bars and 2 drinks.

2c+2d

200

is this graph a function?


No. we can use the vertical line test to determine that it is not a function.


200

44

 4 x 4 =16

16 x 4= 64

64 x 4= 256

300

What is the formula of sin 

sin = opp/hyp

300

log10000

4

300

Simplify the expression 4m+5+2m-1


4m+2m=6m
5-1=4

6m+4

300

What is the purpose of the horizontal line test?

It is used to check if the inverse of a graph or equation is a function.

300

1111111 x 0 x 1

1111111 x 0 = 0

0x1= 0

400

How many angels are in a circle?

 4 or 0 are both correct answers.

400

Find x if log5(x-7)=1

51=x-7

5=x-7

x=x+7

x=12

400

give an expression of P multiplied by 7 

7P

400

f(x) = -2x2 + 6x - 3

Find f(-2)

f(-2)= -2(-2)+ 6(-2) -3


-8 + -12 -3= -23

f(-2)= -23

400

33/3 

33/3 = 11

500

11,8,5,2....  

Find the formula.

After you find the formula calculate the 50th number.


 Formula: Un = -3+14

U50 = -3 x 50 +14 =-136 

500

log7 + log6 -log3=

log7 + log6= log42

log42 - log3 = log 14

500

Simplify the following algebraic function: 

X2-4
----------
X2+4x+4

X2-4           (x+2) (x-2)        - 2
---------- = --------------- = --------
X2+4x+4     (x+2) (x+2)     x + 2

500

Find the range of
f(x) = -x2 - 10

-x2 <= 0
-x- 10 <= -10  
f(x) <= -10 

(-∞ , -10]

500

12 x 12 x 11 x -36 x 54 +26534

12 x 12= 144

144 x 11 = 1584

1584 x -36 = -57024

-57024 x 54 = -3079296

-3079296 + 26534 = -3052762

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