Marcus and Jeremy both evaluated the expression −52 + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

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Complete Question

Marcus and Jeremy both evaluated the expression −(5²) + 3. Marcus said the answer was −22. Jeremy said the answer was 28. Who is correct? Explain the error in the other student’s work.

Marcus is right, the answer is -22

Step-by-step explanation:

The expression to simplify is given as

-(5²)+ 3

= -(25) + 3

= - 22

This is the correct answer. Marcus when simplifying his expression took note of the bracket or parentheses sign. This is very important.

Jeremy got 28. His answer is wrong because he squared -5 directly without taking noting that it was in a bracket or parentheses.

Hence this was Jeremy's calculation

-(5²) + 3

= 25 + 3

= 28

Jeremy's answer was wrong. He did not recognize the bracket in his calculation.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions

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