Download Translating Problems into Equations

A3
Translating Expressions and Equations
Name: _________________________
Translate each phrase into a variable expression or equation.
1) The difference of x and y, increased by their product, is 52. ___________________
2) The difference between 2 times a number and five. _________________________
3) The product of nine and four less than n is 27. _____________________________
4) The sum of 16 and three times the number r is 64. ___________________________
5) Six less than a tenth of a number. _______________________________________
6) Half the sum of y and 10 is 7. __________________________________________
Translate problems into equations. Write 2 expressions & 1 equation. DO NOT SOLVE!
7) a) A choral group has 32 members.
b) There are 8 more girls than boys.
How many boys are in the group ?
.
8) a) There are 4 more girls than boys in Algebra.
b) Together there are 28 students.
How many girls are in the class?
9) a) Nancy jogged 3 miles less than Pat.
b) Together they jogged 7 miles.
How far did each jog?
10) a) Ray has three times as many compact discs as Mia.
b) Together they have 20 compact discs.
How many compact discs does each have?
11) a) A 16 ft. piece of wood is cut into two pieces.
b) The first piece is 4 ft. shorter than the other.
How long is each piece?
12) a) Miguel drove 20 km. more than Ricardo.
b) Miguel drove three times as far as Ricardo.
How far did each drive?
boys 
girls 
Equation 
Solve following Order of Operations.
13) 6(6 + 8) + 8 – 32 ÷ 16 =
14) 6(5 - 2) + 10  5 - 4(6 - 2) =
15) - (-12) - |-7| =
Use your textbook and fill in the blanks for the following notes:
Chap 2 Review Notes
Commutative Properties – a + b = b + a
ab = ba
&
The __________ in which you ___________ or ____________ two
numbers does not affect the results.
Associative Properties –
(a + b) + c = a + (b + c)
&
(ab)c = a(bc)
When you ___________ or ____________ any three real numbers, the
______________ (or association) of the numbers does not affect the result.
Rules for Multiplication
1. If two numbers have the same sign, their product is ______________.
If two numbers have opposite signs, their product is ______________.
2. The product of an even number of negative numbers is _____________.
The product of an odd number of negative numbers is _____________.