Translating Algebraic Expressions

Translating Algebraic Expressions

Objective: To translate English phrases into algebraic expressions

​Words that mean ADDITION

​Sum

​Add

​Plus

​All together

​​Increased by

​More than

​Total

​Example 1

7 increased by a number x​

​ADDITION special case

'more than' - you have to reverse the order

​

​Example: 9 more than 3

​

​Example: 1 more than a number

​Words that mean SUBTRACTION

Minus

​Difference

​Take away

​Less than

​Decreased by

​​Subtract

​Less

​Fewer than

​Subtracted from

​Example 2

a number decreased by 34​

​SUBTRACTION special case

'less than' - you have to reverse the order

​

​Example: 9 less than 3

​

​Example: 1 less than a number

​Words that mean MULTIPLICATION

Product

​Times

​Of

​​Twice

​Double

​Multiplied by

​Example 3

How many ways can we write 3 times x?​

​Words that mean DIVISION

Divided by

​Quotient of

​Half

​​Fractions

​Statements like:

​"a fourth of"

​"a seventh of"

​Example 4

The quotient of 8 and x​

​Example 5

A fifth of m​

​QUANTITY OF use (parenthesis)

4 times the quantity of x minus 7

​

​the quantity of three more than b times 9

​

​7 divided by the quantity of 3 less than x

​QUANTITY OF use (parenthesis)

4 times the quantity of x minus 7

4(x-7)​

​the quantity of three more than b times 9

​(b+3)x9 or 9(b+3)

​7 divided by the quantity of 3 less than x

​7/(x-3) or

Multiple Choice

Translate: 35 multiplied by the quantity of r plus 45

• $$35\left(r+45\right)$$  

• $$35r+45$$  

• $$35\cdot r+45$$  

• $$\frac{35}{r+45}$$  

Multiple Choice

Translate: 3 divided by the quantity of x minus 5

• $$\frac{3}{x}-5$$  

• $$3\left(x-5\right)$$  

• $$\frac{\left(x-5\right)}{3}$$  

• $$\frac{3}{\left(x-5\right)}$$