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Match each item in (b) to one in (a).

(B) (A)
A. the 5 in 3x + 5
B. 2y + 9 = 17
C. a, b, c, ...x , y, z
D. the 3 in 3x
E. the 6 in 6 * 5
F. 3x + 5
G. the 3x in 3x + 5
H. 4x, 5x, 10x
Term
Coefficient
Equation
Expression
Factor
Variable
Like terms
Constant term


Sagot :

The connections are:

  • A. the 5 in 3x + 5  ⇒ Constant term.
  • B. 2y + 9 = 17  ⇒ Equation.
  • C. a, b, c, ...x , y, z  ⇒ Variable.
  • D. the 3 in 3x  ⇒ Coefficient.
  • E. the 6 in 6 * 5  ⇒ Factor.
  • F. 3x + 5  ⇒ Expression.
  • G. the 3x in 3x + 5  ⇒ Term.
  • H. 4x, 5x, 10x  ⇒ Like terms.

How to match the items?

Let's look at each item individually.

A: "The 5 in 3x + 5"

That would be the constant of the expression. So here the correct option is "Constant term".

B: "2y + 9 = 17"

This is just an equation, so the correct option is "Equation".

C: "a, b, c, ...x , y, z"

These are random letters, each of these can represent any number, so these are variables.

D: "the 3 in 3x"

The real numbers that multiply variables are called "coefficients", so the 3 is a coefficient.

E:  "the 6 in 6 * 5"

The elements of a product are also called factors, in this case, the 6 is a factor.

F: "3x + 5"

Notice that here we don't have an = sign, so this is an expression (If we had the = sign like in B, this would be an equation).

G: "The 3x in 3x + 5"

3x and 5 are called the "terms of the expression". So the 3x is a term.

H: "4x, 5x, 10x"

Here we have 3 terms, all of them have the same variable and the same degree (degree 1). Then these are "like terms"

Then the connections are:

  • A. the 5 in 3x + 5  ⇒ Constant term.
  • B. 2y + 9 = 17  ⇒ Equation.
  • C. a, b, c, ...x , y, z  ⇒ Variable.
  • D. the 3 in 3x  ⇒ Coefficient.
  • E. the 6 in 6 * 5  ⇒ Factor.
  • F. 3x + 5  ⇒ Expression.
  • G. the 3x in 3x + 5  ⇒ Term.
  • H. 4x, 5x, 10x  ⇒ Like terms.

If you want to learn more about expressions:

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