1-5 Translating Algebraic Expressions

1-5
Translating Algebraic Expressions

​Goal: Use word descriptions to write algebraic expressions.

Translating Keywords

• Difference

• Less than

• Subtracted by

• Minus

• Decreased by

​Subtraction

• Sum

• Increased by

• More than

• Total

• Plus

​Addition

Examples

9 less than a number



A number decreased by 10.

​Subtraction

5 more than a number



A number increased by 2.

​Addition

• x + 5

• x + 2

• x - 9

• x - 10

Translating Keywords

• Divided by

• Quotient

• Half/Third

• Separate

​Division

• Times

• Product

• Twice

• Double/Triple

• Of

​Multiplication

Examples

The quotient of a number and 7.



Two thirds of a number.

Division

3 times a number.



Twice a number.

​Multiplication

• ​3x

• ​2x

• ​3x

Translating Keywords

• Less/More than

• Subtracted from

​Turn Around Words

• Times "the sum of"

• times "the difference of"

• The quantity

​Parentheses Words

​Words used to indicate a switch in the order of the expression.

Examples

8 less than a number



A number subtracted from 35.

​Turn Around

8 times the sum of a number and 3



4 times the quantity of a number and 5.

​Parentheses

• 8(x + 3)

• 4(x + 5)

• x - 8

• 35 - x

Multiple Choice

Write the phrase as an expression.

the difference of 5 and a number

• 5x

• 5 - x

• x - 5

• $$\frac{5}{x}$$

Multiple Choice

Write the phrase as an expression.

The quotient 38 times of a number and -4

• 38x + 4

• 38x - 4

• $$\frac{38x}{-4}$$

• $$\frac{1}{-152x}$$

Match

Match the following phrase to the correct expression.

• thirteen decreased by three times a number

• negative 13 decreased by three times a number

• negative thirteen increased by 3 times a number

• thirteen increased by 3 times a number

13 - 3x

-13 - 3x

-13 + 3x

13 + 3x

• 13 - 3x

• -13 - 3x

• -13 + 3x

• 13 + 3x

Multiple Choice

Write the phrase as an expression.

Twice a number decreased by 58.

• 2(x - 58)

• 2x - 58

• 2x + 58

• 2(x + 58)

Match

Match the following phrase to the expression.

• The product of -20 and a number

• -20 increased by a number

• The difference of a number and -20

• A number subtracted from -20

-20x

-20 + x

x - (-20)

-20 - x

• -20x

• -20 + x

• x - (-20)

• -20 - x

Multiple Choice

Write the phrase as an expression.

Five times the sum of a number and -23.

• 5 + x + (-23)

• 5x - (-23)

• 5x + (-23)

• 5[x + (-23)]

Fill in the Blanks

Use the phrase to write an expression. (Use x for your variable.)

4 more than 9 times a number.

Fill in the Blanks

Use the phrase to write an expression. (Use x for your variable.)

3 times the sum of a number and 8

Fill in the Blanks

Use the phrase to write an expression. (Use x for your variable.)

9 times a number increased by 4 times the number.