Download Problem Solving Worksheet - Geometry Write an equation or

Problem Solving Worksheet - Geometry
Write an equation or inequality to represent each on another sheet of paper. Then solve the
problem. Show all work.
1. Seven less than three times a number is 26. What is the number?
2. The sum of four times a number and 16 is 100.
3. The sum of two angles is 102 degrees. One angle is twice the other angle. Find the two
angles.
4. Three more than the quotient of a number and 4 is 5. What is the number?
5. The difference of 5 times a number and 9 equals the number increased by two. What is
the number.
6. The sum of two consecutive integers is 155. Find the numbers.
7. The sum of three consecutive integers is 57. What are the integers?
8. Two more than the product of negative three and a number is smaller than 20.
a. write an inequality b. graph the solution
9. An auto repair bill is $234.95. This includes $129.95 for parts and $35 per hour for
labor. What is the number of hours of labor?
10. You have $24.75 to spend on Pizza. It costs $12 for a cheese pizza plus $1.65 for each
additional topping, tax included. Solve to find the maximum number of toppings the pizza can
have. (write an inequality and solve)
11. You are making pies to sell. It costs $ 3 to make each pie plus a one-time $20 fee for
supplies. You plan to sell pies for $5 each. Find the number of pies you need to sell to break
even.
12. Three less than 5 times a number is 11 more than the number. What is the number?
13. Renaissance High School has 90 students in the 11th grade. There are 6 more females than
males. How many males and how many females are there?
14. Joe was trying a number trick with Dawn. He told her to pick a number, add 5 to it,
multiply the sum by 3, then subtract 10 and double the result. Dawn’s final answer was 28. What
number did she start with? (Write an algebraic equation then solve)
15. Marcus is going to a taste fest. He has $26.75 to spend. Parking is $7 and he wants to buy a
beer for $4.50. If each snack is $2.25, find the maximum number of snacks that he can taste.
16. In any triangle, the sum of the measures is 180 degrees. In triangle ABC, angle A is four
times as large as angle B. Angle C measures 20 degrees less than angle B. Find the measures of
each angle.