1. Lesson 2.2 Translating Words into Symbols, Expressions, and Equations
Objective - To translate English words, phrases, and sentences into mathematical symbols, expressions, and equations respectively. _ +
plus
minus
times
divide
add
subtract
multiply
quotient
increased by
decreased by
product
sum
diminished by
…of...
total
difference
twice ( 2)
less
less than subtracted from
more than
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series
Algebra 1 by James Wenk © 2003 published by TEACHINGpoint

2. Tricky Ones! 5 plus x 5 + x add 5 and x 5 + x the sum of 5 and x 5 + x
5 increased by x
5 + x
5 more than x
x + 5
5 is more than x
5 > x
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

3. Tricky Ones! 5 minus x 5 - x 5 less x 5 - x the difference of 5 and x
5 decreased by x
5 - x
5 less than x
x - 5
5 subtracted from x
x - 5
5 is less than x
5 < x
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

4. 3) 20 decreased by a number t 4) 6 added to the product of 11 and m
Translate each phrase into a mathematical expression.
1) 5 subtract x
2) the product of 10 and y
3) 20 decreased by a number t
4) 6 added to the product of 11 and m
5) the quotient of y and 9
6) 8 less than 7 times k
5 - x
10y
20 - t
11m + 6
y 9
7k - 8
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

5. A special word in each column refers not to the operation itself but the outcome of the operation._ +
plus
minus
times
divide
add
subtract
multiply
quotient
increased by
decreased by
product
sum
diminished by
…of...
total
difference
twice ( 2)
less
less than
subtracted from
more than
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

6. 1) six less than twice a number x 2) five times the sum of y and 4
Translate each phrase into a mathematical expression.
1) six less than twice a number x
2) five times the sum of y and 4
3) twice the difference of m and 3
4) the quotient of 7 and a number x less 2
5) the difference of 6 and k divided by 9
6) 4 times the sum of 12 and y
2x - 6
5(y + 4)
2(m - 3)
7 x - 2
(6 - k) 9
4(12 + y)
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series

7. 1) Eight less than twice the sum of four and y is the same as 19.
Translate each sentence into a mathematical
equation or inequality.
1) Eight less than twice the sum of four and y
is the same as 19.
2) Six more than x is more than twice the
difference of x and 7.
3) The quotient of m and 3 is six less than the
product of 10 and m.
4) Five less than x is less than five less x.
2(4 + y) - 8 = 19
x + 6 > 2(x - 7)
m = 10m - 6
x - 5 < 5 - x
Algebra I by James Wenk © 2003 published by TEACHINGpoint as part of the Expert Systems for Teachers Series