Directions:
Shown below are two sets of mathematical statements. Use these to answer
the questions that follow
y> 2x+1
y = 2x + 1
3x + 4y = 15
10 - 5y = 7x
3x + 4y < 15
10 - 5y 2 7x
y = 6x +12
9y - 8 = 4x
y s 6x + 12
9y -8 < 4x
1.
2.
3.
4.
5.
How do you describe the mathematical statements in each set?
What do you call the left member and the right member of each
mathematical statement?
How do you differentiate 2x + 1 from y = 2x + 1? How about 9y - 8
and Oy - 8 = 47?
How would you differentiate mathematical expressions from
mathematical equations?
Give at least three examples of mathematical expressions and
mathematical equations.
Compare the two sets of mathematical statements. What statements
can you make?
Which of the given sets is the set of mathematical equations? How
about the set of inequalities?
How do you differentiate mathematical equations from inequalities?
Give at least three examples of mathematical equations and
inequalities.
6.
7.
8.
9.

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺

16 is the absolute value

step-by-step explanation:

tbh idk i hope this heples

step-by-step explanation:

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