Translate words to equations

Translate this phrase into an algebraic equation:

A number tripled subtracted from 60 is the same as 21.

• 3c − 60 = 21

• 60 − 3 = 21c

• 60 − 3c = 21

• c(60 − 3) = 21

Answer explanation

The phrase states that when a number (c) is tripled (3c) and subtracted from 60, it equals 21. This translates to the equation 60 - 3c = 21, making this the correct choice.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m

• 8m - 4

• 8m + 4

• 4m - 8

Answer explanation

The phrase "8 less than the product of 4 and a number" translates to 4m - 8. Here, 4m represents the product of 4 and the number m, and subtracting 8 indicates '8 less than' that product.

Tags

CCSS.6.EE.A.2A

What does "product" mean?

• Multiply

• Divide

• Add

• Subract

Answer explanation

In mathematics, the term 'product' refers to the result of multiplying two or more numbers together. Therefore, the correct answer is 'Multiply', as it directly defines what a product is.

Tags

CCSS.3.OA.A.1

What is the difference between an expression and equation?

• Expressions have an equal sign and equations do not have an equal sign

• Expressions do not have an equal sign and equations do have an equal sign

• There is not a difference

• Expressions do not have variables and equations have variables

Answer explanation

The correct choice is that expressions do not have an equal sign and equations do have an equal sign. This distinction is fundamental in mathematics, where expressions represent values and equations represent relationships between values.

Translate this phrase into an algebraic expression.
8 less than the product of 4 and a number
Use the variable m to represent the unknown number.

• 8 - 4m

• 8m - 4

• 8m + 4

• 4m - 8

Answer explanation

The phrase "8 less than the product of 4 and a number" translates to 4m - 8. Here, 4m represents the product of 4 and the number m, and subtracting 8 indicates '8 less than' that product.

Tags

CCSS.6.EE.A.2A

Write an algebraic expression for:

three times a number plus 16

• 3(16)+n

• 16n+3

• 3n+16

Answer explanation

The phrase 'three times a number' translates to '3n', where 'n' is the number. Adding 16 gives '3n + 16'. Thus, the correct expression is '3n + 16'. The other options do not accurately represent the given phrase.

Tags

CCSS.6.EE.A.2A

What does "difference" mean?

• add

• subtract 

• multiply

• divide

Answer explanation

In mathematics, 'difference' refers to the result of subtracting one number from another. Therefore, the correct answer is 'subtract', as it directly relates to finding the difference between two values.

Tags

CCSS.L.1.6

CCSS.L.3.6

CCSS.L.K.5A

Translate the sentence into an equation:

Seven subtracted from n is 18

• n + 7 = 18

• 7 - n = 18

• n - 7 = 18

• n + 7 = 18n

Answer explanation

The phrase 'Seven subtracted from n' translates to n - 7. Setting this equal to 18 gives the equation n - 7 = 18, which matches the correct choice.

Translate the sentence into an equation:

Four more than six times a number is 18.

• 4 + 6x = 18

• 4x + 6 = 18

• 6x + 4 = 18

• not enough info

Answer explanation

The phrase 'four more than six times a number' translates to '6x + 4'. Setting this equal to 18 gives the equation '6x + 4 = 18', which is the correct choice.

How would you translate
x - 5 = 12 into words?

• x - 5 = 12

• The product of x and 5 is twelve

• x less than 5 is 12

• Five less than x is 12.

Answer explanation

The equation x - 5 = 12 means that when you subtract 5 from x, the result is 12. This can be expressed in words as 'Five less than x is 12,' which accurately describes the relationship.