ACCELERATED ALGEBRA I
NAME ___________________________________________ PERIOD ____
SECTION 3.3 (Unit 2) APPLICATIONS
DATE _________________________
Follow These Steps for Solving Equation Word Problems:
1. Define your variable.
2. Write the equation.
3. Solve the equation, showing all work!!!!!
4. Write your answer in sentence form. Don’t forget your label!!
Let’s try an example together:
You have a summer job running errands for a local Doylestown business. You earn $5 per day, plus $2
for each errand. How many errands do you need to run to earn $17 in one day?
1. Define your variable _______________________________
2. Write the equation ________________________________
3. Solve.
4. Answer _________________________________________________________________________
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CONSECUTIVE INTEGER PROBLEMS always use a specific pattern. Use the chart below to help you.
Let’s try some examples together:
#1) The sum of three consecutive integers is 81. Find the integers.
1. Define your variables _______________________________
2. Write the equation ________________________________
3. Solve.
4. Answer _________________________________________________________________________
#2) Find three consecutive even integers whose sum is -12.
1. Define your variables _______________________________
2. Write the equation ________________________________
3. Solve.
4. Answer _________________________________________________________________________
#3) Find three consecutive even integers whose sum is -36.
1. Define your variables _______________________________
2. Write the equation ________________________________
3. Solve.
4. Answer _________________________________________________________________________
ACCELERATED ALGEBRA I
SECTION 3.3 (Unit 2) APPLICATIONS
NAME ___________________________________________ PERIOD ____
DATE _________________________
SOLVE EACH PROBLEM BY SETTING UP AND SOLVING AN EQUATION. FOLLOW ALL STEPS, AS SHOWN IN
CLASS. DO ALL WORK IN THE BOXES ON THE NEXT PAGE.
1) ____________________ An online garden supply company offers daffodil bulbs for $0.59 each plus $2.75
for shipping and handling for the entire order. You want to spend $15 on an
order of daffodil bulbs. Find the number of daffodil bulbs you can purchase.
2) ____________________ You spend $42.50 to buy 50 ride tickets and a cotton candy at the carnival. Each
ride ticket cost the same amount, and the cotton candy cost you $5. Find the
cost of each ride ticket.
3) _____________________ You have a 90-pound calf you are raising. You expect the calf to gain 65 pounds
per month. In how many months will the animal weigh 1000 pounds?
4) _____________________ In any triangle, the sum of the measures of the angles is 180°. In triangle ABC,
Angle A is four times as large as Angle B. Angle C measures 20° less than Angle B.
Find the measure of each angle.
5) ____________________ Find three consecutive integers whose sum is 174.
6) ____________________ Find three consecutive integers so that the second, increased by the third, is 67.
7) ____________________ Find three consecutive even integers whose sum is 78.
8) ____________________ Find three consecutive odd integers so that the sum of the first and third is 94.
9) ____________________ Find three consecutive integers so that 8 times the first, decreased by the third,
is 488.
10) ___________________ Find three consecutive integers so that 5 times the first, increased by 3 times the
second, is 515.
11) ___________________ Find three consecutive odd integers so that 6 times the second, decreased by the
third, is 363.
12) ___________________ Find three consecutive odd integers whose sum is 201.
#1
1. Variables ______________________________
#2
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#3
1. Variables ______________________________
#4
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#5
1. Variables ______________________________
#6
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#7
1. Variables ______________________________
#8
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#9
1. Variables ______________________________
#10
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#11
1. Variables ______________________________
#12
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
ACCELERATED ALGEBRA I
NAME ___________________________________________ PERIOD ____
SECTION 3.3 (Unit 2) APPLICATIONS PART TWO
DATE _________________________
SOLVE EACH PROBLEM BY SETTING UP AND SOLVING AN EQUATION. FOLLOW ALL STEPS, AS SHOWN IN
CLASS. DO ALL WORK IN THE BOXES ON THE NEXT PAGE. YOU MUST ATTEMPT EVERY PROBLEM!!
1) _____________________ The width and the length, in meters, of a rectangle are consecutive even
integers. The perimeter is 292 meters. What are the dimensions of the
rectangle?
2) _____________________ The sum of 85 and twice a number is 237. Find the number.
3) _____________________ Five times a number, decreased by 87, is -12. Find the number.
4) _____________________ The perimeter of a rectangle is 326, and its length is 94. Find the width.
5) _____________________ Together, a boat and outboard motor cost $1500. The boat cost five times as
much as the motor. What was the cost of each?
6) _____________________ When Joe Domico retired from his parcel delivery service, his daughter, Rose,
took over the business. By now, Rose has been running the service three years
longer than her father did. If the business has been in operation for 27 years,
how long did Joe run it?
7) _____________________ Eighteen-year old Manuel is 4 years older than twice as old as his sister, Julia.
How old is Julia?
8) _____________________ Find three consecutive odd integers whose sum is -129.
9) _____________________ The lengths in meters of the sides of a triangle are consecutive even integers.
The perimeter is 210 meters. How long are the sides?
10) ____________________ Two numbers differ by 3. Four times the lesser decreased by three times the
greater is 7. Find the numbers.
11) ____________________ In Triangle ABC, side AB is 2 cm shorter than side AC, while side BC is 1 cm longer
than AC. If the perimeter is 62 cm, find the lengths of the 3 sides.
A
B
C
#1
1. Variables ______________________________
#2
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#3
1. Variables ______________________________
#4
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#5
1. Variables ______________________________
#6
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#7
1. Variables ______________________________
#8
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#9
1. Variables ______________________________
#10
1. Variables ______________________________
2. Equation ______________________________
2. Equation ______________________________
3. Solve.
3. Solve.
4. Answer _______________________________
4. Answer _______________________________
#11
1. Variables ______________________________
2. Equation ______________________________
3. Solve.
4. Answer _______________________________