Here are the key terms from the word problem document defined: 1. Quotient indicates the operation of division. 2. A formula is an equation that states the relationship between two or more variables. 3. To simplify an expression is to write it in simpler form. 4. The distributive property is used to perform the multiplication 2(x+8). 5. A constant term is a term that consists of a single number (and no variable). 6. When we write 9x + x as 10x, we say we have combined like terms. 7. To solve an equation means to find all values of the variable that make the equation true. 8

1. Chris, Casey, and Lisa worked together to build a
mechanical unicorn. Casey worked twice as
many hours as Chris. Lisa worked 10 more hours
than Casey. Altogether, they worked 100 hours.
How many hours did Lisa work?
Step 1: Assign Variables Chris+ Casey + Lisa= 100. Step 5: Solve for Jeff
Chris= If x = 18, then:
Casey = Step 3: Combine Like Terms Chris = x 18 hours
Lisa= Casey = 2x
Step 2: Set up an Step 4: Get variable by itself;
equation showing that subtract/divide Lisa = 2x + 10
Chris, Casey, and
2(18) +10=
Lisaworked 100 hours.
Chris+ Casey + Lisa= 100.

2. Evaluate.

3. Evaluate.
21

4. A visitor to the Grand Canyon accidently dropped her
sunglasses over the edge. It took 9 seconds for the
sunglasses to fall directly to the bottom of the canyon.
How far above the canyon bottom was she? [Hint: You
may want to use d=rt or d=16t2.]

5. Simplify.
a. b.
c. d.
e.
f.

6. a.
3
b. -5
c.
-2x + 7

10. Translate from English to algebra.
a. 8 less than the square of a number. ___________
b. The quotient of 7 and twice a number. _______
c. The sum of 25 and 5 times a number. _______

11. Twenty-five more than twice a number is the same
as six times the number decreased by seven.
Variable Let 2x = twice the number, and let 6x
= six times the number, and x= the
number
Equation

12. An editor needs to read a 680-page document.
Her goal is to read 20 pages per day. If she has
already read 260 pages, how many days will it take
her to complete the proofreading?
Variable Let d= the number of days it will take
her to complete the proofreading
Equation OR

13. The length of a rectangle is three times its width.
If the perimeter is 328, find the length and the
width of the rectangle.
Variable
Equation
OR
OR

14. Twenty-fives more than twice a number is the
same as six times the number decreased by seven.
Find the number.
Solve
Check
?
State: The number is 8.

15. An editor needs to read a 680-page document.
Her goal is to read 20 pages per day. If she has
already read 260 pages, how many days will it take
her to complete the proofreading?
Solve
?
Check
State: It will take her 21 days to finish proofreading.

16. The length of a rectangle is three times its width. If the perimeter
is 328, find the length and the width of the rectangle.
Solve
Remember:
Length= 3x
Width = x
?
Check 8(41) = 328 State: The length is 123 units
328 = 328 and the width is 41 units.

18. 1. The word quotient indicates the operation
division
of _____________.
substitute
formula
3. A _____________ is an equation that
states the relationship between two or more
variables.

19. simplify
4. To _____________ an expression is to
write it in simpler form.
5. To perform the multiplication 2(x+8), we
distributive
use the ____________ property.
6. A term that consists of a single number
constant
(and no variable) is called a _____________
term.

20. 7. When we write 9x + x as 10x, we say we
combined
have ____________ like terms.
solve
8. To _____________ an equation means to
find all values of the variable that make the
equation true.
9. A number that makes an equation true is
solution
called a ____________.

21. 10. A letter that is used to represent a
variable
mystery number is called a ____________.