Algebra - Writing Algebraic Expressions

Write this phrase as an expression:

10 less than a number, n

• 10 - n

• n - 10

• n + 10

• 10 - n

Answer explanation

The phrase "10 less than a number n" means we subtract 10 from n. This is expressed as

n - 10, making it the correct choice.

The other options do not accurately represent the phrase.

Translate this phrase into an Algebraic expression:

57 more than 3 times Ziana's score, g

• 57g + 3

• 3g - 57

• 3g + 57

• 57 - 3g

Answer explanation

The phrase "57 more than 3 times Ziana's score, g" translates to the expression 3g + 57.

It indicates adding 57 to three times the variable g.

Translate this phrase into an algebraic expression:

8 less the product of 4 and a number, m

Answer explanation

The phrase "8 less the product of 4 and a number m" translates to 8 - (4 * m), which simplifies to 8 - 4m. Thus, the correct algebraic expression is 8 - 4m.

Translate this phrase into an algebraic expression:
the difference of 3 times a number n and 7

• 3(n - 7)
  

• 3n - 7

• 7 - 3n

• 7(3 - n)
  

Answer explanation

The phrase "the difference of 3 times a number n and 7" translates to 3n - 7,

where 3n represents three times the number and subtracting 7 indicates the difference.

What word phrase can you use to represent 5x + 2?

• five times the sum of a number x and two

• two times the sum of a number x and five

• a number x times the sum of five and two

• the sum of five times a number x and two

Answer explanation

The expression 5x + 2 can be described as

"the sum of five times a number x and two",

which matches the correct answer choice. This highlights the addition of the two components in the expression.

Translate this phrase into an algebraic expression:

three times the sum of a number h and nine

• 3h - 9

• 3(h - 9)

• 3(h + 9)

• 3h + 9

Answer explanation

The phrase "three times the sum of a number h and nine" translates to 3(h + 9).

The sum of h and 9 is represented as (h + 9), and multiplying by three gives us 3(h + 9), making this the correct choice.

Translate this phrase into an algebraic expression:

the square root of the product of 7 and a number, j

Which of the following best describes the expression :
8 less than the quotient of a number x and 2