Test your skills with this 40-item
worded problems. 3mins per problem,
Total of 2hours. Answer and solutions at
the end.
Algebra
Practice
Problems
40 Problems with complete
and neat solutions
,1. Find three numbers such that the second number is 3 more than twice the
first number, and the third number is four times the first number. The sum
of the three numbers is 164.
a) 20, 52, 92
b) 26, 43, 95
c) 23, 49, 92
d) 17, 46, 98
2. Suppose that a computer store just announced an 8% decrease in the
price of a particular computer model. If this computer sells for $2162
afterthe decrease, find the original price of this computer.
a) 1350
b) 2350
c) 2150
d) 1150
3. A pennant in the shape of an isosceles triangle is to be constructed for the Slidell
High School Athletic Club and sold at a fund-raiser. The company manufacturing
the pennant charges according to perimeter, and the athletic club has determined
that a perimeter of 149 centimeters should make a nice profit. If each equal side
ofthe triangle is twice the length of the third side, increased by 12 centimeters,
find the lengths of the sides of the triangle pennant.
a) 19, 65, 65
b) 25, 62, 62
c) 13, 68, 68
d) 49, 50, 50
,4. Kelsey Ohleger was helping her friend Benji Burnstine studey for an algebra
exam.Kelsey told Benji that her three latest art history quiz scores are three
consecutive even integers whose sum is 264. Help Benji find the scores.
a) 86, 88, 90
b) 84, 88, 92
c) 82, 88, 94
d) 80, 88, 96
5. In 2010, 8476 earthquakes occurred in the United States. Of these, 91.4%
wereminor tremors with magnitudes of 3.9 or less on the Richter scale. How
many minor earthquakes occur in the United States in 2010? Round to the
nearest whole number.
a) 7774
b) 7477
c) 7447
d) 7747
6. Karen Estes just received an inheritance of $10,000 and plans to place all the
money in a savings account that pays 5% compounded quarterly to help her
songo to college in 3 years. How much money will be in the account in 3 years?
a) 12, 706.22
b) 14, 660.07
c) 11,607.55
d) 12,607.22
7. The fastest average speed by a cyclist across the continental United States is
15.4mph, by Pete Penseyres. If he traveled a total distance of about 3107.5
miles at this speed find his time cycling in days, hours and minutes.
a) 8 days, 9hours, 50 minutes
b) 8 days, 7hours, 53 minutes
, c) 8 days, 7hours, 55 minutes
d) 8 days, 9hours, 53 minutes
8. A serving of cashew contains 14 grams of fat, 7 grams of carbohydrate,
and 6 grams of protein. How many calories are in this serving of
cashews?
a) 178 calories
b) 187 calories
c) 180 calories
d) 167 calories
9. In the United States, the annual consumption of cigarettes is declining.
The consumption c in billions of cigarettes per year since the year 2000
can be approximated by the formula c = - 9.4t + 431 where t is the
numberof years after 2000. Use this formula to predict the years that the
consumption of cigarettes will be less than 200 billion per year.
a) 22
b) 23
c) 24
d) 25
10. The cost C of producing x number of scientific calculators is given
byC = 4.50x + 3000, and the revenue R from selling them is given by R =
16.50x. Find the number of calculators that must be sold to break even.
a) 150
b) 250
c) 350
d) 450
worded problems. 3mins per problem,
Total of 2hours. Answer and solutions at
the end.
Algebra
Practice
Problems
40 Problems with complete
and neat solutions
,1. Find three numbers such that the second number is 3 more than twice the
first number, and the third number is four times the first number. The sum
of the three numbers is 164.
a) 20, 52, 92
b) 26, 43, 95
c) 23, 49, 92
d) 17, 46, 98
2. Suppose that a computer store just announced an 8% decrease in the
price of a particular computer model. If this computer sells for $2162
afterthe decrease, find the original price of this computer.
a) 1350
b) 2350
c) 2150
d) 1150
3. A pennant in the shape of an isosceles triangle is to be constructed for the Slidell
High School Athletic Club and sold at a fund-raiser. The company manufacturing
the pennant charges according to perimeter, and the athletic club has determined
that a perimeter of 149 centimeters should make a nice profit. If each equal side
ofthe triangle is twice the length of the third side, increased by 12 centimeters,
find the lengths of the sides of the triangle pennant.
a) 19, 65, 65
b) 25, 62, 62
c) 13, 68, 68
d) 49, 50, 50
,4. Kelsey Ohleger was helping her friend Benji Burnstine studey for an algebra
exam.Kelsey told Benji that her three latest art history quiz scores are three
consecutive even integers whose sum is 264. Help Benji find the scores.
a) 86, 88, 90
b) 84, 88, 92
c) 82, 88, 94
d) 80, 88, 96
5. In 2010, 8476 earthquakes occurred in the United States. Of these, 91.4%
wereminor tremors with magnitudes of 3.9 or less on the Richter scale. How
many minor earthquakes occur in the United States in 2010? Round to the
nearest whole number.
a) 7774
b) 7477
c) 7447
d) 7747
6. Karen Estes just received an inheritance of $10,000 and plans to place all the
money in a savings account that pays 5% compounded quarterly to help her
songo to college in 3 years. How much money will be in the account in 3 years?
a) 12, 706.22
b) 14, 660.07
c) 11,607.55
d) 12,607.22
7. The fastest average speed by a cyclist across the continental United States is
15.4mph, by Pete Penseyres. If he traveled a total distance of about 3107.5
miles at this speed find his time cycling in days, hours and minutes.
a) 8 days, 9hours, 50 minutes
b) 8 days, 7hours, 53 minutes
, c) 8 days, 7hours, 55 minutes
d) 8 days, 9hours, 53 minutes
8. A serving of cashew contains 14 grams of fat, 7 grams of carbohydrate,
and 6 grams of protein. How many calories are in this serving of
cashews?
a) 178 calories
b) 187 calories
c) 180 calories
d) 167 calories
9. In the United States, the annual consumption of cigarettes is declining.
The consumption c in billions of cigarettes per year since the year 2000
can be approximated by the formula c = - 9.4t + 431 where t is the
numberof years after 2000. Use this formula to predict the years that the
consumption of cigarettes will be less than 200 billion per year.
a) 22
b) 23
c) 24
d) 25
10. The cost C of producing x number of scientific calculators is given
byC = 4.50x + 3000, and the revenue R from selling them is given by R =
16.50x. Find the number of calculators that must be sold to break even.
a) 150
b) 250
c) 350
d) 450
