Tina wrote mathematical expressions for five statements. Her work is shown. Statement Tina's Expressions A The product of a number and seven. 7n B The sum of three consecutive numbers. n+(n+1)+(n+2) C The square of a number times three. 3n2 D Twice the sum of a number and 8. 2n+8 E The cube of a number divided by two. n3÷2 Did Tina write the correct expressions? Select Correct or Incorrect for each expression. Select Linear or Nonlinear to correctly identify each of Tina's expressions.

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frika frika · Answer 1 · 2020-02-25T08:31:53+01:00

Answer:

See explanation

Step-by-step explanation:

Linear expression is usually an expression of 1st degree.

A. The product of a number and seven [tex]=7\cdot n=7n[/tex]

Correct, linear

B. The sum of three consecutive numbers.

Let the smallest number be n, the next number is n + 1 and the last number is n + 2. Then their sum is

[tex]n+(n+1)+(n+2)[/tex]

Correct, linear

C. The square of a number times three.

Let the number be n, then its square is [tex]n^2[/tex] and the square of a number times three is

[tex]n^2\cdot 3=3n^2[/tex]

Correct, nonlinear

D. Twice the sum of a number and 8.

If the number is n, then the sum of the number anf 8 is n + 8. Twice the sum is

[tex]2\cdot (n+8)=2(n+8)[/tex]

Incorrect, linear

E. The cube of a number divided by two.

If the number is n, then its cube is [tex]n^3.[/tex] The cube of the number divided by 3 is

[tex]n^3\div 3[/tex]

Correct, nonlinear