Algebra 1H
Sheet 7
Complete in spiral!
Sheet 7 - Writing Equations for Word Problems
For each of the following word problems complete all steps. (1) Write labels or “let statements”,
(2) Write the verbal sentence (it’s okay to include +, -, • , ÷, = signs in verbal sentences), (3) Write an
equation, (4) Solve, and (5) Answer the question fully (remember Word Problems Need Word Answers).
1.
A bank contains only nickels, dimes, and quarters. There are 8 more dimes than quarters and 5 more
nickels than dimes. If the bank contains $6.25, how many of each coin does it have?
2.
If you subtract 34 from the product of 15 and a number, the result is 146. Find the number.
3.
Adult tickets for a concert were $5 each and student tickets were $2 each. A total of 980 tickets,
worth $3460, were sold. How many adult tickets were sold?
4.
Olivia’s father is 30 years older than she. Seven years ago, the sum of their ages was equal to his
age now. How old is each now?
5.
A rectangle is 6 cm longer than it is wide. If the width is increased by 2 cm and the length increased
by 1 cm the area is increased by 50 cm2. Find the dimensions of both rectangles.
6.
Find three consecutive integers whose sum is four times the greatest integer.
7.
A photo is 8 cm longer than it is wide. It is mounted in a frame that is 3 cm wide. The area of the
frame is 192 cm2. Find the dimensions of the photo.
8.
Grace leaves home at 8:00 a.m. Ten minutes later, Will notices Grace’s lunch and begins bicycling
after her. If Grace walks at a rate of 5 km/h and Will cycles at a rate of 15 km/h, how long will it
take him to catch up with her? Hint: 10 min = ? hours
9.
Two motor homes traveled in opposite directions from the same starting point. The rate of one
motor home was 10 km/h less than the rate of the other motor home. After 10 hours, the motor
homes were 500 km apart. Find the rate of each motor home.
10. A butcher mixes 12 pounds of ground pork at $1.25 per pound with 24 pounds of ground beef at $2
per pound to sell as meat loaf mix. What should be the cost per pound of the meat loaf mix?