Unit 4, Lesson 2
Keeping the Equation Balanced
Grade 8
Practice
Problem 1
Which of the changes keeps the hanger in balance?
Select all that apply.
Adding two circles on the left and a square on the right
Adding two triangles to each side
Adding two circles on the right and a square on the left
Adding a circle on the left and a square on the right
Adding a triangle on the left and a square on the right
Problem 2
Here is a balanced hanger diagram.
Each triangle weighs 2.5 pounds, each circle weighs 3 pounds, and \(x\) represents the weight of each square. Select all equations that represent a balanced hanger.
\(x+x+x+x+11=x+11.5\)
\(2x=0.5\)
\(4x+5+6=2x+2.5+6\)
\(2x+2.5=3\)
\(4x+2.5+2.5+3+3=2x+2.5+3+3+3\)
Problem 3
What is the weight of a square if a triangle weighs 4 grams?
Explain your reasoning.
Problem 4
These two lines are parallel. Write an equation for each.
<p>Two lines in an x y plane. A line passes through the origin and 5 comma 4. Another line passes through 0 comma negative 3 point 2 and crosses the x axis at 4.</p>
Problem 5
Label the arrows to describe each move.