Question

The table shows the points earned by a contestant in four rounds on a game show.


a. Write a linear expression in simplest form to represent the total points earned b the contestant in rounds 1 and 2.


b. Write a linear expression in simplest form to represent the total points earned in all four rounds.


c. If the value of x is 8, what is the total points earned in all four rounds?

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Answer 1

Given:

Points earned by a contestant in

Round 1:   2x+40

Round 2:   5x+12

Round 3:   100

Round 4:   6x-10

Solution:

(a)Answer:  7x+52

Explanation:

Adding the expressions representing the points earned by contestant in rounds 1 and 2 we get,

$2x+40+5x+12 = 7x+52$

So $7x+52$ is the linear expression for total points earned by the contestant in round1 and round2

(b) Answer: 13x+142

Explanation:

Adding all the given expressions gives the expression for total points we get,

$2x+40+5x+12+100+6x-10 =13x+142$

So $13x+142$ is the expression for total points earned by contestant in all four rounds.

(c) Answer:  206

Explanation:

We have got the expression for total points in all four rounds as $13x+142$      and we are given  x=8

substitute x=8 in above expression

⇒ $13(8)+142=206$

So total number of points earned in all four rounds for x=8 is 206