Om and Tamir applied to the same university. They looked up the average SAT score of students admitted to that university. Tom’s SAT score was 260 points above the average score. Tamir’s SAT score was 20 points below the average score. Which expression represents the difference in their scores? -❘260 - 20❘
❘-20 - 260❘
❘260 - 20❘
-❘260❘ - ❘20❘

a.-260-20 this is the answer because Tom was 260 above average that means average plus 260 was tom s marks

so tamirs marks were 20 behind average that means average minus 260 minus 20

|-20-260|

Step-by-step explanation:

Tom with above average score of 260, so that will represent 260 in the equation

Note that the average score will be represented with 0

Tamir score is below average of 20 which represents -20 in the equation

To find the difference we need to subtract -20 with 260, -20-260. Which will equal -280

Note it's not possible for tom to have a below average score, so we must add a absolute value to get 280 to make it make sense

So we get the final equation of |-20-260|

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d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.