Community Helpers Vocabulary List & Definitions

     Community Helpers Vocabulary List &                                       Definitions


dentist - A person who helps keep the teeth, gums, and mouth healthy for a living 

doctor - Someone who is certified to help people stay healthy through the use of medicine, as a job

father- The man who helped to create a baby or babies, the man who cares for a child

firefighter- A person that has been trained to fight and extinguish fires

architect- A person who has the job of designing buildings and supervising the construction of those buildings

librarian- a person trained to work in a library, or who maintains a particular collection of books.

mother- The woman who carries or cares for a child
neighbor Someone who lives close by your house or dwelling

nurse- A person who is specially trained to care for those who are ill, many work in hospitals

repairman- Someone trained, usually in a specific area, to correct problems with vehicles, machines, or appliances

barber- A person who cuts , usually men's, hair and shaves or trims beards as a job

police officer- Someone trained to uphold and enforce the laws with the ability to either help or arrest people

secretary- Someone employed by an office or an individual who is paid to assist with office duties that may include answering phones, keeping records, and making appointments

teacher -Someone trained to provide education to children at certain grade levels or in different subjects

waiter- A person who is paid to serve customers food and drinks at their tables, in a restaurant

counselor- A person trained to offer guidance on social, psychological, and personal issues or problems

Basic Algebra

Name: ______________________________


                                     Basic Algebra


Determine the value of the variable in each equation.


1. 6 + a = 12 

2. 7 - b = 2
a = _______ b = _______



3. 11 + 14 = c 

4.
24
d = 3

5. 10e = 110
c = _______ d = _______ e = _______


6.
f7
= 7

7. 13g = 26

8. 35 - h = 10
f = _______ g = _______ h = _______


9. 6 + i = 23

10. j - 17 = 7

11.
42
7 = k
i = _______ j = _______ k = _______
12. 4m = 32 13.
72
n = 9 14. 33 + 66 = p
m = _______ n = _______ p = _______
15.
q8=
5
„\
5
+
r
=
14 -
3
„\
11 +
4
=
3s
q = _______ r = _______ s = _______


ANSWER KEY
Basic Algebra
Determine the value of the variable in each equation.
1. 6 + a = 12

2. 7 - b = 2
a = 6 b = 5


3. 11 + 14 = c 

4.
24
d = 3

5. 10e = 110
c = 25 d = 8 e = 11


6.
f7
= 7

7. 13g = 26 8. 35 - h = 10
f = 49 g = 2 h = 25


9. 6 + i = 23 

10. j - 17 = 7 

11.
42
7 = k
i = 17 j = 24 k = 6


12. 4m = 32 

13.
72
n = 9

14. 33 + 66 = p
m = 8 n = 8 p = 99


15.
q8
= 5 „\ 5 + r = 14 - 3 „\ 11 + 4 = 3s
q = 40 r = 6 s = 5

Basic Algebra Vocabulary

Name: ______________________________



                               Basic Algebra Vocabulary


In algebra, a variable is an unknown quantity. It is often represented by a letter. With a red
crayon, circle the variables (or unknown amount) in each of the expressions below.
6 + x y - 9 8 z 16
v


A constant is a quantity with a value that does not change. It is usually represented by a
number. With a blue crayon, circle the constants (or numerical amounts) in each of the
expressions below.
4 n 9d
m - 2 5 + a


An expression is a mathematical phrase with constants, variables, and/or operation symbols.
Below each expression, tell what operation is used. Write addition, subtraction, division, or
multiplication.
y - 3 6 m 7 + n 9b
_____________________ _____________________ _____________________ _____________________


An equation is a mathematical statement that uses an equal sign to show that two or more
expressions are equal. Tell whether each item below is an equation or expression.
9 - n = 15 9b2c = 4 8 + a
_____________________ _____________________ _____________________ _____________________
2 + x = 12 + 7
Is the mathematical statement shown
above an equation or an expression? _______________________________
How many variables are in this statement? ___________ How many constants? ___________

ANSWER KEY
Basic Algebra Vocabulary
In algebra, a variable is an unknown quantity. It is often represented by a letter. With a red
crayon, circle the variables (or unknown amount) in each of the expressions below.
6 + x y - 9 8 z 16
v
A constant is a quantity with a value that does not change. It is usually represented by a
number. With a blue crayon, circle the constants (or numerical amounts) in each of the
expressions below.
4 n 9d
m - 2 5 + a
An expression is a mathematical phrase with constants, variables, and/or operation symbols.
Below each expression, tell what operation you would use. Write addition, subtraction,
division, or multiplication.
y - 3 6 m 7 + n 9b
subtraction multiplication addition division
An equation is a mathematical statement that uses an equal sign to show that two or more
expressions are equal. Tell whether each item below is an equation or expression.
9 - n = 15 9b2c = 4 8 + a
equation expression equation expression
2 + x = 12 + 7


Is the mathematical statement shown
above an equation or an expression? equation
How many variables are in this statement? 1 How many constants? 3

Algebraic Expressions

Name: ______________________________



                                    Algebraic Expressions


Tell whether each algebraic equation is correct.
Write true or not true on the line next to each.
1. a - 6 = 4 , a = 10 _____________

2.
c
12 = 2 , c = 6 _____________


3.
d6
= 3 , d = 18 _____________

4. 8z = 48 , z = 7 _____________


5. x + x + 7 = 16 , x = 4 _____________

6.
30
5 = h , h = 6 _____________


7.
8i
= 1 , i = 8 _____________

8. 13 - z = 8 , z = 4 _____________


If the algebraic expression shown is true, write true on the line. If the algebraic expression is
not true, cross out the value for the variable and write a new value on the line to make it true.
example: a - 1 = 6 , a = 8 ____________
Since this is not true, cross out the 8 and write a = 7 on the line.


9. 9 - w = 1 , w = 9 _____________

10.
p2
= 5 , p = 10 _____________


11.
18
k = 2 , k = 9 _____________

12. 12 + j = 21 , j = 6 _____________


13. 7a = 28 , a = 3 _____________

14.
24
y = 4 , y = 8 _____________


15.
36
6 = b , b = 3 _____________

16. 17 - v = 5 , v = 12 _____________


17. Is this equation in the box to the right always false,
no matter what value you give the variable? 0b = 4
Explain your answer.
__________________________________________________________________________________
__________________________________________________________________________________
__________________________________________________________________________________



Name: ______________________________
Algebraic Expressions
Tell whether each algebraic equation is correct.
Write true or not true on the line next to each.
1. a - 6 = 4 , a = 10 true

2.
c
12 = 2 , c = 6 not true


3.
d6
= 3 , d = 18 true

4. 8z = 48 , z = 7 not true


5. x + x + 7 = 16 , x = 4 not true

6.
30
5 = h , h = 6 true


7.
8i
= 1 , i = 8 true 8. 13 - z = 8 , z = 4 not true


If the algebraic quation shown is true, write true on the line. If the algebraic equation is not
true, cross out the value for the variable and write a new value on the line to make it true.
example: a - 1 = 6 , a = 8 a = 7
Since this is not true, cross out the 8 and write a = 7 on the line.


9. 9 - w = 1 , w = 9 w = 8

10.
p2
= 5 , p = 10 true


11.
18
k = 2 , k = 9 true

12. 12 + j = 21 , j = 6 j = 9


13. 7a = 28 , a = 3 a = 4

14.
24
y = 4 , y = 8 y = 6


15.
36
6 = b , b = 3 b = 6

16. 17 - v = 5 , v = 12 true


17. Is this equation in the box to the right always false,
no matter what value you give the variable? 0b = 4
Explain your answer.
Yes, it is always false. Anything times zero will always equal zero. There is nothing you
can multiply by zero to make 4.

Basic Algebra Tables

Name: ______________________________
                   
                                          Basic Algebra Tables
Complete the tables. Write a full equation in each empty box.
18 - x 3 x
40
x
x = 2 18 - 2 = 16
x = 5 3 x 5 = 15
x = 8 40 ÷ 8 = 5
x = 10 18 - 10 = 8
9y
y
3 y + y
y = 3
y = 6
y = 9
y = 12


Complete the table. Write equations in the empty white boxes. Also, write three
algebraic expressions in the gray boxes along the top.
z = 1 1 x 3 = 3 28 ÷ 1 = 28
z = 4 4 x 3 = 12 4 + 8 = 12
z = 7 7 + 8 = 15

ANSWER KEY
Basic Algebra Tables
Complete the tables. Write a full equation in each empty box.
18 - x 3 x
40
x
x = 2 18 - 2 = 16 3 x 2 = 6 40 ÷ 2 = 20
x = 5 18 - 5 = 13 3 x 5 = 15 40 ÷ 5 = 8
x = 8 18 - 8 = 10 3 x 8 = 24 40 ÷ 8 = 5
x = 10 18 - 10 = 8 3 x 10 = 30 40 ÷ 10 = 4
9y
y
3 y + y
y = 3 9 x 3 = 27 3÷ 3 = 1 3 + 3 = 6
y = 6 9 x 6 = 54 6 ÷ 3 = 2 6 + 6 = 12
y = 9 9 x 9 = 81 9 ÷ 3 = 3 9 + 9 = 18
y = 12 9 x 12 = 108 12 ÷ 3 = 4 12 + 12 = 24


Complete the table. 

Write equations in the empty white boxes. Write three algebraic
expressions in the gray boxes along the top.
z x 3 z + 8 28 ÷ z
z = 1 1 x 3 = 3 1 + 8 = 9 28 ÷ 1 = 28
z = 4 4 x 3 = 12 4 + 8 = 12 28 ÷ 4 = 7
z = 7 7 x 3 = 21 7 + 8 = 15 28 ÷ 7 = 4

Algebra Word Problems

Name: ______________________________


                                    Algebra Word Problems


1. There are 12 golf balls in a bucket. There are x white
golf balls and 5 orange golf balls.
Which equation illustrates this situation? (Circle one.)
x - 5 = 12 x + 5 = 12
12 + x = 5 5x = 12
What is the value of x? ________________


2. You have $x. You spend $3 to play golf. You have $8 left.
Which equation illustrates this situation? (Circle one.)
$3 - $x = $8 $x + 3 = $8
$8 - $3 = $x $x - $3 = $8
What is the value of x? ________________


3. A group of x golfers are split up into 3 equal groups.
There are 4 golfers in each group.
Which equation illustrates this situation? (Circle one.)
x
3
= 4 3x
= 4
4x = 3 3x = 4
What is the value of x? ________________


4. Your have x golf tees in your bag. Your sister has 4 times
as many tees as you do. Your sister has 36 tees.
Which equation illustrates this situation? (Circle one.)
x
4
= 36 4x
= 36
36x = 4 4x = 36
What is the value of x? ________________

ANSWER KEY
Algebra Word Problems


1. There are 12 golf balls in a bucket. There are x white
golf balls and 5 orange golf balls.
Which equation illustrates this situation? (Circle one.)
x - 5 = 12 x + 5 = 12
12 + x = 5 5x = 12
What is the value of x?
ans-7


2. You have $x. You spend $3 to play golf. You have $8 left.
Which equation illustrates this situation? (Circle one.)
$3 - $x = $8 $x + 3 = $8
$8 - $3 = $x $x - $3 = $8
What is the value of x?
ans-11


3. A group of x golfers are split up into 3 equal groups.
There are 4 golfers in each group.
Which equation illustrates this situation? (Circle one.)
x
3
= 4 3x
= 4
4x = 3 3x = 4
What is the value of x?
ans-12


4. Your have x golf tees in your bag. Your sister has 4 times
as many tees as you do. Your sister has 36 tees.
Which equation illustrates this situation? (Circle one.)
x
4
= 36 4x
= 36
36x = 4 4x = 36
What is the value of x?
ans-9