1. Objective- To translate words and phrases into symbols, variables, expressions and equations
Equalities
Inequalities
<
Is less than =
Equals- Is the
same as
>
Is greater than
Congruent- same
size and shape
Is less than or
equal to ~
Approx. equal to
Similar- same
shape =
Not equal to

2. Expressions vs. Equations
Sentences
Expressions
Equations
Inequalities
2 + 3
2 + 3 = 5
9 - 5 > 3
Numerical
5(8) - 4
4 + 2(3) = 10
x + 7
x - 4 = 13
Variable
6y - 4 < 8
8 - 3y
11= 3 + 2m
Open sentences
Open sentences have solutions and can be solved.

3. Identify each as an expression, sentence,
open sentence, equation, or inequality.
1) 3x + 5 = 11
open sentence, equation
2) 7 < 2(5) + 3
Sentence, inequality (nothing to solve)
3) 5x - 2
Expression (can’t be solved)
4) 6m + 2 > 3
open sentence, inequality

4. _ Operations and common phrases + plus minus times divide add subtract
multiply
quotient
increased by
decreased by
product
sum
diminished by
twice ( 2)
total
difference
…of...
less
more than
less than
subtracted from

5. Translates to the expression
the sum of 5 and x
Addition
5 plus x
add 5 and x
5 + x
5 increased by x
Translates to the expression
x + 5
5 more than x
5 > x
5 is more than x

6. Translates to the expression
Subtraction
the difference of 5 and x
5 minus x
5 - x
5 less x
Translates to the expression
5 decreased by x
x - 5
5 less than x
5 < x
5 subtracted from x
5 is less than x

7. 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

8. 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)

9. 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 3
= 10m - 6
x - 5 < 5 - x