Translate Words to Algebraic Expressions

Which matches the expression below?

• The quotient of a number and seven, decreased by four.

• Four more than a number divided by seven.

• The difference of a number divided by seven and four.

Answer explanation

The correct choice, 'Four more than a number divided by seven,' matches the expression as it indicates adding four to the result of dividing a number by seven, aligning with the phrasing of the expression.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

ten less than a number k

• k - 10

• 10 + k

• 10/k

• 10 - k

Answer explanation

The phrase 'ten less than a number k' translates mathematically to k - 10. This means you subtract 10 from k, making 'k - 10' the correct choice.

Tags

CCSS.6.EE.A.2

Six less than four times a number.

• 4x − 6

• 4x + 6

• 6x − 4

• 6 - 4x

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "the sum of a number and seven" into an algebraic expression.

Answer explanation

The phrase "the sum of a number and seven" indicates that we need to add seven to a variable, represented as 'x'. Therefore, the correct algebraic expression is 'x + 7'.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "twice a number decreased by three" into an algebraic expression.

Answer explanation

The phrase 'twice a number' translates to '2x', and 'decreased by three' means to subtract 3. Therefore, the complete expression is '2x - 3', which corresponds to the correct choice.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "the product of a number and five" into an algebraic expression.

Answer explanation

The phrase "the product of a number and five" indicates multiplication. If we let the number be represented by 'x', the expression becomes '5x', which is the correct choice.

Tags

CCSS.6.EE.A.2

Translate the verbal expression "a number divided by four" into an algebraic expression.

Answer explanation

The phrase "a number divided by four" indicates that we take a variable (commonly represented as x) and divide it by 4. This is correctly expressed as \( \frac{x}{4} \), making it the right choice.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "three more than the product of a number and two" into an algebraic expression.

Answer explanation

The expression "the product of a number and two" translates to "2x". Adding "three more" gives us "3 + 2x", which matches the correct choice.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "the difference between a number and nine" into an algebraic expression.

Answer explanation

The phrase 'the difference between a number and nine' indicates subtraction. If we let 'x' represent the number, the expression becomes 'x - 9', which correctly captures the difference.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6

Translate the verbal expression "the quotient of a number and six" into an algebraic expression.

Answer explanation

The phrase "the quotient of a number and six" means to divide a number (represented as x) by six. This is expressed algebraically as \( \frac{x}{6} \), making it the correct choice.

Tags

CCSS.6.EE.A.2

CCSS.6.EE.B.6