+ 4x x +6 9y 8-w x + 5 6-x 9 * (4x) 5y 3 300 2x 32 - x

Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
Translate the words into an algebraic expression.
1. 4 times x
4x
2. The sum of x and 6
x +6
3. The product of 9 and y
4. w less than 8
5. 5 more than x
9y
8-w
x+5
6. The difference of 6 and x
6-x
7. 9 times the product of x and 4
9 * (4x)
8. The product of 5 and y divided by 3
5y
3
9. The quotient of 300 and the quantity of x times 2
10. x less than 32
32 - x
11. The quotient of 35 and the quantity of x minus 7
300
2x
35
(x-7)
12. The product of 7 and x minus the quantity of 4 less than y
7x - (y - 4)
13. Adult ticket prices are $3 more than child ticket prices. Determine the adult ticket price, given the child ticket
price.
Adult Price = $3 + Child Price
Child Ticket Price
Adult Ticket Price
$5
$3 + $5 = $8
$7
$3 + $7 = $10
$10
$3 + $10 = $13
$12
$3 + $12 = $15
14. Write an expression that represents the adult price, if the child price is “x
Adult Price = $3 + Child Price
Child price = x
Adult Price = $3 + x
Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
15. For NJASK testing, 25 students are placed in each classroom. Determine the number of classrooms needed,
25 students per classroom
given the number of students testing.
Number of Students Testing
Number of Classroom Needed
250
250/25 = 10
325
325/25 = 13
400
400/25 = 16
520
520/25 = 20.8
16. Write an expression that represents the number of classrooms needed, if the number of students testing is “x”
25 students per classroom
Given students = x
x students /25 students = number of classrooms
25 students / classroom
17. Each person running in the race paid $20. Determine the amount of money collected, given the amount of
people running in the race.
$20 per person
Number of People Running
Amount of Money Collected
150
150 * $20 = $300
230
230 * $20 = $460
410
410 * $20 = $820
520
520 * $20 = $1040
18. Write an expression that represents the amount of money collected, given the number of people running in the
race.
$20 per person
Given Number of persons
$20 / person
Money = Number of persons * ($20/person)
Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
Write an expression for the following situations.
19. Bob weighs 7 more pounds than Jack. Jack weighs x pounds. Bob’s weight:
Bob's weight = Jack's weight + 7 lb = x + 7 lb
20. Tiffany has 6 dollars less than Jessica. Jessica has x dollars. Tiffany’s money:
Tiffany's money = Jessica's money - $6 = x - $6
21. Samantha has 12 more stickers than Mike. Mike has S stickers. Samantha’s sticker amount:
Samantha's stickers = Mike's stickers + 12 stickers = S + 12stickers
22. Mark’s quiz grade is one more than twice Ted’s quiz grade. Ted’s quiz grade is x. Mark’s quiz grade:
Mark's grade = 1 + 2 * Ted's grade = 1 + 2x
23. Laura paid x dollars for her prom dress. Beth paid four dollars less than Laura. Beth’s prom gown price:
Laura's prom dress = x
Beth's dress = Laura's dress - $4 = x -
24. The beans grew K inches. The tomatoes grew 3 inches more than triple the height of the beans. Tomato height:
Bean = K in.
Tomatoes = 3 in. + 3 * Beans = 3 in.
25. Child ticket prices are $3 less than adult ticket prices. Determine the child ticket price, given the adult ticket
price.
Adult Ticket Price
Child Ticket Price
$10
$10 - $3 = $7
$15
$15 - $3 = $12
$20
$20 - $3 = $17
$25
$25 - $3 = $22
26. Write an expression that represents the child price, if the adult price is “x”
Child price = x - $3
Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
27. For bussing, 40 students are assigned to each bus. Determine the number of busses needed, given the
number of students riding.
Number of Students Riding
240
Number of Busses Needed
240/40 = 6
320
320/40 = 8
400
400/40 = 10
500
500/40 = 12.5
28. Write an expression that represents the number of busses needed, if the number of students riding is “x”
Busses = x/40
29. The farm always has four times the number of chicks as hens. Determine the number of chicks, given the
Chicks = 4*Hens
number of hens.
Number of hens
Number of chicks
20
4 * 20 = 80
40
4 * 40 = 160
50
4 * 50 = 200
60
4 * 60 = 240
30. Write an expression that represents the number of chicks, given the number of hens.
Chicks = 4*Hens
Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
Write an expression for the following situations.
31. Bob weighs 17 pounds less than Jack. Jack weighs x pounds. Bob’s weight:
Bob's weight = Jack's weight - 17 lb
Jack's weight = x
Bob's weight = x - 17 lb.
32. Tiffany has 50 dollars more than Jessica. Jessica has x dollars. Tiffany’s money:
Tiffany's money = Jessica + $50
Jessica = x
Tiffany's money = x + $50
33. Samantha has 12 times as many stickers than Mike. Mike has S stickers. Samantha’s sticker amount:
Samantha = 12 * Mike
Mike = S
Samantha =
34. Mark’s quiz grade is six more than double Ted’s quiz grade. Ted’s quiz grade is x. Mark’s quiz grade:
Mark's grade = 6 + 2 * Ted's grade
Ted's grade = x
Mark's grade = 6 + 2x
35. David ran the 5k in x minutes. Harry ran the same race in half the time that David ran the race. Harry’s time:
David's time = x
Harry's time = (1/2) * David's time = (1/2)x = x/
36. The beans grew K inches. The tomatoes grew triple the height of the beans less 2 inches. Tomato height:
Beans = K
Tomatoes = 3 * (Beans - 2) = 3 * (K -
Reasoning with Equations Short Constructed Response
26.
A+rectangle+is+6+inches+longer+than+it+is+wide.+Write+and+simplify+an+expression+for+the+perimeter++
of+the+rectangle+in+terms+of+the+width+w.+
w
+
Perimeter = w + w + (6+w) + (6+w)
+
6+w
=w+w+6+w+6+w
= 4 w + 12
Mathematician's+Name:+____________________________+++++++++++++++++++++++
Algebra+II+
+
+
+
+
+
+
+
September______++2013+
Writing+Equations+
+
27.
You+and+a+friend+worked+in+the+school+store+last+week.+You+worked+4+hours+less+than+your+friend.+++++
+
Let+h+be+the+number+of+hours+your+friend+worked.+Write+an+expression+in+simplest+form+that++
+
represents+the+total+number+of+hours+you+both+worked.+
Given: "You worked 4 hours less than your friend" means : You = Friend - 4 hours
+
h = Friend
Unknown: Expression in simplest form of "Total" number of hours You and Friend worked
+
+
Total = You + Friend
Total = (Friend - 4 hours) + Friend
Total = h - 4 + h
You = Friend - 4 Hours
Friend = h
Total = 2h - 4
+
28.
A+trail+mix+contains+peanuts,+raisins,+and+M&Ms.+In+the+mix,+the+amount+of+peanuts+is+three++
times+the+amount+of+M&Ms;+and+the+amount+of+raisins+is+two+times+the+amount+of+M&Ms.+Let+m++
represent+the+amount+of+M&Ms.+Write+and+simplify+an+expression+for+the+total+number+of+pieces++
of+food+in+the+trail+mix.+
Given:
+
peanuts = 3*m&ms
Unknown: Total number of pieces
Total = peanuts + raisins + m&ms
raisins = 2*m&ms
= 3*m&ms + 2*m&ms + m&ms
m = m&ms
= 3m + 2m + m
+
= 6m
29.
Shelly+lives+500+miles+away.++Paul+drove+65+mph+for+4+hours.++How+many+more+miles+will+it+take++
+
for+him+to+arrive+at+Shelly’s+house?+
Given:
+
Shelly = 500 miles
Unknown: How many more
Where is Paul?
Paul drives 65 mph for 4
miles? means "difference"
4 hour * 6 miles/hour = 24 miles
between where Paul is and
How many more = Shelly - Where Paul is
where Shelly is.
= 500 - 260 miles
= 240 miles

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