Step: 1

A variable expression is a group of numbers, variables and operations.

Step: 2

The expression 37 - 4 x + 5 has numerals, operation symbols and a variable.

Step: 3

It is a variable expression.

Correct Answer is : Variable expression

Step: 1

A co-efficient is the multiple of a variable.

Step: 2

In the expression, there is only one variable, x .

Step: 3

The co-efficient of x in the expression is 3.

Correct Answer is : 3

Step: 1

Number of marbles in 10 rows = number of marbles in each row × number of rows

[Write an algebraic expression.]

Step: 2

= m × 10.

[Substitute the values.]

Step: 3

So, there are 10 × m marbles in 10 rows.

Correct Answer is : 10 × m

Step: 1

Number of bags of chips each child gets = total number of bags of chips ÷ number of children

[Write an algebraic expression.]

Step: 2

= n ÷ 12

[Substitute the values.]

Step: 3

So, each child gets n ÷ 12 number of bags of chips.

Correct Answer is : n ÷ 12

Step: 1

Let n be the number of milk cartons still left to be sold.

Step: 2

The number sentence can be given as, (Number of milk cartons already sold) + n = Number of milk cartons that Eric sells per day.

Step: 3

15 + n = 55

[Substitute the values.]

Step: 4

So, the number sentence used to calculate the number of milk cartons left to be sold is, 15 + n = 55.

Correct Answer is : 15 + n = 55

Step: 1

Let n be the money required more to buy the pencil and the calculator.

Step: 2

The number sentence can be given as, (Money that Mark has) + n = Cost of a pencil and a calculator.

Step: 3

$17 + n = $20

[Substitute the values.]

Step: 4

So, the number sentence used to calculate the money required more to buy them is, $17 + n = $20.

Correct Answer is : $17 + n = $20

Step: 1

Let n be the money left with David.

Step: 2

Step: 3

[Substitute the values.]

Step: 4

So, the number sentence used to calculate the money left with David is, n + $54 = $165.

Correct Answer is : n + $54 = $165

Step: 1

Let n be the number of candies left in the bag.

Step: 2

The number sentence can be written as, (Number of candies in the bag) = n + (Number of candies eaten).

Step: 3

8 = n + 4

[Substitute the values.]

Step: 4

So, the number sentence used to calculate the number of candies left in the bag is, 8 = n + 4.

Correct Answer is : 8 = n + 4

Step: 1

- 12x ^{3} + 7x ^{2} + 5x - 17

[Original expression.]

Step: 2

A constant term is said to be the one which has no variables in it.

Step: 3

Therefore, - 17 is the constant term in the polynomial - 12x ^{3} + 7x ^{2} + 5x - 17.

Correct Answer is : - 17

Step: 1

In an expression, for a term which has no literal factors is known as a constant term.

Step: 2

In - 2x ^{3} + 7x ^{2} + 5x + 17. the term 17 does not have any literal factors.

Step: 3

So, in the given polynomial 17 is a constant term.

Correct Answer is : 17

Step: 1

Each term in an algebraic expression are separated by plus (+) or minus (-) symbol.

Step: 2

So, there are 3 terms in the algebraic expression 4p q + 2p - 3p q ^{2}.

Correct Answer is : 3

Step: 1

A variable expression is an expression that has numerals, operation symbols and variables.

Step: 2

Amongst the choices "6 - 2a " has numerals, operation symbols and variables .

Correct Answer is : 6 - 2a

Step: 1

The terms which have the same algebraic factors are called like terms.

Step: 2

The factors of - 5.7x ^{2}y are - 5.7, x ^{2} and y .

Step: 3

The factors of - 5.7x y ^{2} are - 5.7, x and y ^{2}.

Step: 4

The factors of 7.5x y are 7.5, x and y .

Step: 5

The factors of - 7.5x ^{2}y are - 7.5, x ^{2} and y .

Step: 6

Therefore - 5.7x ^{2}y and - 7.5x ^{2}y have same algebraic factors.

Step: 7

Hence - 5.7x ^{2}y and - 7.5x ^{2}y are like terms.

Correct Answer is : - 5.7x ^{2}y and - 7.5x ^{2}y

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- Variable