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Tema [17]
3 years ago
14

Look at each problem. Then decide if it is an equation or an expression. Check all the equations. A number decreased by three is

seven. 9 + n the product of a number and eleven The quotient of a number and six is two. x – 5 = 21
Mathematics
2 answers:
DerKrebs [107]3 years ago
9 0

Answer:

ADE

Step-by-step explanation:

inysia [295]3 years ago
5 0

Answer:

Equations:

  • A number decreased by three is seven.
  • The quotient of a number and six is two.
  • x – 5 = 21

Expressions:

  • 9 + n
  • The product of a number and eleven

Step-by-step explanation:

Required

Determine which is an expression and which is an equation

To start with, we analyse each of the options one after the other

<em></em>

(a): A number decreased by three is seven.

Let the number be n

<em></em>

<em>So, when n is increased by 3, the result  is 7. </em>

This statement can be represented as:

<em></em>n + 3 = 7<em></em>

<em></em>

<em>The above is an equation because it has an = sign</em>

(b) 9 + n

This is not an equation <em>because it has no = sign.</em>

<em>Hence, it is an expression.</em>

(c) The product of a number and eleven

Let the number be n

<em></em>

<em>n multiplied by 11 is represented as:</em>

<em></em>n * 11<em></em>

<em></em>

This is not an equation <em>because it has no = sign.</em>

<em>Hence, it is an expression.</em>

(d) The quotient of a number and six is two.

Let the number be n

<em></em>

<em>So, the quotient of n and 6, is 2. </em>

This statement can be represented as:

\frac{n}{6} = 2

<em></em>

<em>The above is an equation because it has an = sign</em>

(e) x – 5 = 21

<em>The above is an equation because it has an = sign</em>

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To solve, I will use substitution. First, I will divide the first equation by 2 to get b by itself and subtract p from both sides to get b by itself. Then, substitute 5 - 1/2p in for b in the second equation because they have equal values. Then, subtract 10 from both sides to eliminate it. Divide by 2 to both sides to get 'p' by itself.

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