Word Problems Day 1 - White Plains Public Schools

SWBAT: solve word problems
Name: ____________________________________________________________ Date: ______________
Lesson 17
Word Problems Day 1
Warm Up
Foldable
Algebraic Expression vs Algebraic Equation
Model Problems
(a) An example of an algebraic expression is
1)
2)
3)
4)
(c) An example of an algebraic expression is
1)
2)
3)
4)
(b) An example of an algebraic expression is
1)
2)
3)
4)
(d) Mr. Stanton asked his students to write an
algebraic expression on a piece of paper. He
chose four students to go to the board and write
their expression.
Robert wrote:
Meredith wrote:
Steven wrote:
Cynthia wrote:
Which student wrote an algebraic expression?
1) Robert
2) Meredith
3) Steven
4) Cynthia
1
SWBAT: solve word problems
Practice Problems
Directions: Identify each as an algebraic expression(AEx) or an algebraic equation(AEq).
1) 3 + 7x = 10
_______________
6) 6x
_______________
2) -6x + 2x
_______________
7) 8x + 9y + z
_______________
3) 11 – 3x + 7y
_______________
8) 1 = 2x + 7
_______________
4) 4v + 2 < 10
_______________
9
x 7  6
3
_______________
5)
9)
2x
4
_______________
10) 15w – 3 = 2w _______________
Translate a Quantitative Verbal Phrase into an Algebraic Expression
*highlight/underline key words
English
Math
seven more than n
difference of n and 7
product of seven and n
quotient of n and seven
five less than n
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SWBAT: solve word problems
Practice Problems
Directions: Match the verbal expression with the mathematical expression.
____
1. Three times the sum of a number and 5
(a) 5x3 – 10
____
2. Six less than twice a number
(b)
____
3. Five less than half of a number
(c)
____
4. Four times the difference of a number squared and six.
(d) x2 – 6
____
5. Eight less than four times a number
(e) ¾x – 5
____
6. Twice the sum of a number and seven.
(f)
____
7. Ten less than five times a number cubed
(g) 2x + 7
____
8. Three times the difference of a number squared and 15
(h) ½x – 5
____
9. Sixteen less than the quotient of twice a number and
five
(i)
4x – 8
____
10. A number squared increased by twice the sum of
another number cubed and six
(j)
2
x  12
3
____
11. The sum of a four times a number and six divided by the
number squared
(k)
3(x+5)
____
12. Two-thirds of a number decreased by twelve
(l)
3(x2 – 15)
____
13. The square of a number decreased by six
(m) 2(x+7)
____
14. Twice the sum of a number and five
(n) 2(x+5)
____
15. Five less than three-fourths of a number
(o) X2 + 2(x3 + 6)
____
16. Four less than the difference of a number squared and six
(p) 4(x2 – 6)
____
17. The sum of twice a number and 7
(q) (x2 – 6) – 4
4x +
6
x2
2x
 16
5
2x – 6
3
SWBAT: solve word problems
Regents Questions
1) Which verbal expression represents
?
1) two times n minus six
2) two times six minus n
3) two times the quantity n less than six
4) two times the quantity six less than n
3) Which algebraic expression represents 15 less than
x divided by 9?
1)
2)
3)
2) Which verbal expression can be represented by
?
1) 5 less than 2 times x
2) 2 multiplied by x less than 5
3) twice the difference of x and 5
4) the product of 2 and x, decreased by 5
4) Which expression represents “5 less than twice
x”?
1)
2)
3)
4)
4)
5) Which verbal expression is represented by
?
1)
2)
3)
4)
one-half n decreased by 3
one-half n subtracted from 3
the difference of one-half n and 3
one-half the difference of n and 3
Writing Expressions from a Situation
Model Problems
(a) *Francesca makes y dollars each day. Write an
expression for the number of dollars Francesca
will make in w weeks.
(c) *Write an expression to represent the number of
minutes in d days.
6) Which verbal expression is represented by
1) twice the sum of a number and four
2) the sum of two times a number and four
3) two times the difference of a number and
four
4) twice the product of a number and four
?
(b) *Carlos currently owns 5 toy cars. He plans on
buying x cars each week for w weeks. Write an
expression to represent the total number of cars
he will have.
(d) *Jose bought a pair of pants and two shirts for h
dollars. Each shirt cost s dollars. Write an
expression to represent the number of dollars it
cost Jose for the pants.
4
SWBAT: solve word problems
Practice Problems – Regents Questions
1) *Marie currently has a collection of 58 stamps. If
she buys s stamps each week for w weeks, which
expression represents the total number of stamps
she will have?
1)
2)
3)
4)
3) *Which expression represents the number of
hours in w weeks and d days?
1)
2)
3)
4)
2)
*If Angelina’s weekly allowance is d dollars,
which expression represents her allowance, in
dollars, for x weeks?
1)
2)
3)
4)
4) *Timmy bought a skateboard and two helmets for
a total of d dollars. If each helmet cost h dollars,
the cost of the skateboard could be represented
by
1)
2)
3)
4)
5) *Mr. Turner bought x boxes of pencils. Each box
holds 25 pencils. He left 3 boxes of pencils at
home and took the rest to school. Which
expression represents the total number of pencils
he took to school?
1)
2)
3)
4)
6) *A bus holds 30 people, and a van holds 10
people. Which of the following expressions shows
the number of people that could fill b buses and v
vans?
7) *Write an expression for the number of tokens need 8) * Write an expression for the total it would cost for
for v video games if each game takes 4 tokens.
8 chairs at c dollars each and a $400 table.
5
SWBAT: solve word problems
9) *Jared earns 0.25 vacation days for every week that
he works in a calendar year. He also gets 10 paid
company holidays per year. Write an expression to
represent the amount of time he gets off work in a
year after working for w weeks.
10) *Richard went to the airport and paid $273 for his
ticket, $25 in fees and $13 each day to park. Write
an expression to model Richard’s payment to park
for d days.
11) *Write an expression to determine how many
minutes you have left if you had a total of 250
minutes and you talked an hour a week for w
weeks.
12) *José bought a CD storage box for D dollars and a
dozen CDs for c dollars each. The store deducted
these costs from his paycheck of P dollars.
(a) Write an expression for the cost of the CDs.
(b) Write an expression to determine how much
was left from José's paycheck after buying the
CDs and storage box?
13) *It costs $.50 per word, plus $10.50 to make a
customized license plate frame for a car. Write an
expression for the total cost of making p license
plate frames with w words on it.
14) *Jet-skis Unlimited rents Jet-skis at a local lake
for $20 per each 15 minutes, plus a $9.50
insurance fee for the rental. Write an expression
for the cost to rent a jet-ski from Jet-skis
Unlimited for t 15 minute intervals.
Summary
6
SWBAT: solve word problems
Name: ____________________________________________________________ Date: ______________
Word Problems Day 1
7

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