Name: ____________________________________
Word Problems – General Word Problems
1
If one-half of a number is 8 less than two-thirds of
the number, what is the number?
2
Twice the sum of a number and 4 is equal to 22.
What is the number?
3
A boxer is currently a light heavyweight at 172
pounds. He wishes to compete at the top of the
middle weight class, which would be 160 pounds.
If he can lose 1.5 pounds a week, how many
weeks will it take for him to compete in the new
weight class?
Date: _________
Algebra I Common Core
Sheet #04-02:1
4
Every month David buys pizzas to serve at a party
for his friends. In May, he bought three more than
twice the number of pizzas he bought in April. If
David bought 15 pizzas in May, how many pizzas
did he buy in April?
5
At a farmers market strawberries cost $1.60 per
pint, and blueberries cost $2.30 per pint. A
customer bought twice as many pints of
strawberries as pints of blueberries and spent a
total of $11. How many pints of each did she buy?
6
There are only three flavors of gumdrops in a jar
containing 40 gumdrops. There are 3 times as
many cherry gumdrops as lemon gumdrops. There
are 4 more than twice as many orange gumdrops
as lemon gumdrops.
How many gumdrops of each flavor are in the jar?
[Only an algebraic solution will be accepted.]
8
9
7
The cost of a telephone call from Wilson, New
York, to East Meadow, New York, is $0.60 for the
first three minutes plus $0.17 for each additional
minute. If you only have a $2.50 phone card, how
many whole minutes will your phone call last?
[Only an algebraic solution will be accepted.]
If the degree measures of the three angles of a
triangle are in the ratio 1: 3: 5, what is the
measure of the smallest angle? [the total of the
angle measures in a triangle is 180 degrees]
(1) 5°
(2)
10°
(3)
15°
(4)
20°
Three friends divided 176 baseball cards among
themselves in a ratio of 2:3:6. How many cards
did each person receive?
(1)
32, 48, 96
(2)
88, 58, 29
(3)
29, 58, 88
(4)
96, 48, 32
Name: ____________________________________
Word Problems – General Word Problems
10
Sebastian wants to take a cab to the airport next
weekend. Taxi A charges $5.00 for the first mile
and $2.50 for each additional mile, m. Taxi B
charges $10.00 for the first mile and $2.00 for
each additional mile.
Write an equation for the total cost, T, for Taxi A.
11
Date: _________
Algebra I Common Core
Sheet #04-02:2
Victoria has a movie rental card worth $175.
After she rents the first movie, the card’s value is
$172.25. After she rents the second movie, its
value is $166.75.
Assuming the pattern continues, write an equation
to define A, the amount of money on the rental
card after n rentals.
Write an equation for the total cost, T, for Taxi B.
Determine the number of miles Sebastian can go
such that the total cost of each taxi ride is the
same.
Victoria rents a movie every Friday night. How
many weeks in a row can she afford to rent a
movie, using her rental card only?
The airport is 25 miles from Calvin’s house. Determine
which taxi Calvin should take. Justify your response.
Explain how you arrived at your answer.
12
Gabby wants to make a trail mix made up of
almonds, walnuts and raisins. She wants to mix
one part almonds, two part walnuts, and three
parts raisins. Almonds cost $12 per pound,
walnuts cost $9 per pound, and raisins cost $5 per
pound. Gabby has $15 to spend on the trail mix.
Determine how many pounds of trail mix she can
make.
[Only an algebraic solution can receive full credit.]
13
Paige is planting two types of trees:
Type A is three feet tall and grows at a rate of
15 inches per year.
Type B is four feet tall and grows at a rate of
10 inches per year.
Algebraically determine exactly how many years
it will take for these trees to be the same height.
[Only an algebraic solution can receive full credit.]