Download Name Class ______ Date Solving Equation Problem Set Draw a

Name _________________________________
Class ____________
Date _________________
Solving Equation
Problem Set
Draw a picture to represent each situation. Label
the unknown parts with variables and the known
parts with their values. Solve the problem and write
an equation to represent the situation.
1. Two friends pooled the tickets they won from
playing video games to get a prize that requires 500
tickets. If one friend won 80 more tickets than the
other friend, how many tickets did each friend win?
Maintaining a Balance
Solving Equations
2. There are 3900 workers in the three main buildings
downtown. Twice as many people work in the
largest building as in the smallest of the three.
There are 500 more workers in the second-largest
building than in the smallest building. How many
workers are in each building?
Vocabulary
Match the property of equality with its definition.
a. if a  b, then a  c  b  c
b. if a  b, then ac  bc
c.
if a  b, and
, then
d. if a  b, then a  c  b  c
3. Addition Property of Equality
5. Multiplication Property of Equality
4. Subtraction Property of Equality
6. Division Property of Equality
Problem Set
Determine what will balance one rectangle. Explain your solution. Then rewrite each representation as an equation.
7.
8.
Solve each two-step equation. State the inverse
operations, in the correct order of operations, you
used to isolate the variable. Check your solution.
9. 3w174
Solve each riddle using equations.
10. What is a number that when you multiply it by 3
and subtract 12 from the product, you get 12?
Problem Set
11. What is a number that when you multiply it by 4
and add 74 to the product, you get 90?
Solve each equation using the Distributive
Property.
Problem Set
Write a sentence to describe how to apply inverse
operations to solve each equation. Then, solve the
equation and verify your solution.
17.
18.
12.
19.
13.
20.
Write an equation to represent each situation.
Define your variables and solve the equation.
14.
15.
Write an equation to represent each situation.
Define your variables, solve the equation, and
verify your solution.
21. At the Namaste Yoga Studio, the first two yoga
classes you take are free with your registration fee
of $15. Each class after that is $45. How many
classes can you take for $1185?
A list of possible solutions for each inequality is
shown. Choose the solutions that make the
inequality true. Then, list three additional solutions
to the inequality.
16. Ms. Moderelli charges her piano students $40 per
lesson plus a semester recital fee of $55.
How many lessons did Jerry take if he paid a total
of $695 for lessons this semester?
22.
Solving in Big-Time Style
Using Two-Step Equations
Solve each inequality and then graph the solution.
23. 219x 6
24. 784x 6
25. x  38  59