Linear Word Problems Review
Algebra 1 Name: ______
Linear Word Problems Review
1)Alexander is thinking of two numbers. The sum of two numbers is 18. The sum of the greater number and twice the smaller number is 25. Find the numbers.
2)Tickets to the fair cost $8 for children and $10 for adults. On Wednesday, 174 people entered the fair and they collected $1564. How many adults attended the fair?
3)An amusement park charges admission plus a fee for each ride. Admission plus two rides costs $10. Admission plus five rides cost $16. What is the charge for admission plus three rides?
4)Laura has 12 coins in her piggy bank, made up of nickels and quarters. If she has a total of $2.00 in her piggy bank, how much money in quarters does Laura have?
5)April is thinking of two numbers. If the 1st number minus the second number is 11 and the sum of 2 times the 1st number and three times the second number is 37, what is the smaller of the two numbers?
6)Little Sally and Little Billy went to Old Navy to update their wardrobe. Little Sally buys 3 shirts and 5 pairs of jeans for $158. Little Billy buys 6 shirts and two pairs of jeans for $116. How much do 2 shirts and a pair of jeans cost at Old Navy.
7)The River Dell basketball team is holding a fundraiser to sell cookies and pies. The cookies cost $2 each and the pies cost $8 each.
a)Write an equation that models how many of each could be sold if the basketball team plans on making $56. Define your variables.
b)Graph your equation on the axis provided.
c)Name at least two different answers to this
question using your graph. Confirm your
answers algebraically.
8)A student sells pizza kits and boxes of frozen pretzels for $8 per box of pretzels and $12 per pizza kit.
a)Write an equation that models how many of each could be sold if the student plans on taking in $96 from selling pizza kits and boxes of pretzels. Define your variables.
b)Graph your equation on the axis provided.
c)Name at least two different answers to
this question using your graph. Confirm
youranswers algebraically.
9)Johnny has a choice between two jobs selling books. Job A will pay Johnny $200 a month plus $8 per book he sells. Job B will pay Johnny $500 a month plus $2 per book he sells.
a)Write a system of equations that models the situation above. Define your variables.
b)Graph your equations on the axis provided.
c)How many books does Johnny have to sell
in a month for Job A and Job B to pay
him the same amount?
d)If Johnny plans on selling 120 books in a
month, which job should be take?