Unit 4, Lesson 5

Keeping the Equation Balanced

Accelerated 7

Practice

Problem 1

Which of the changes keeps the hanger in balance?

Select all that apply.

<p>Balanced hanger. Left side, 1 triangle and 1 square. Right side, 2 circles and 1 triangle.</p><br>

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 represents the weight of each square. Select all equations that represent a balanced hanger.

<p>A balanced hanger. Left side, 4 squares, 2 triangles, 2 circles. Right side, 2 squares, 1 triangle, 3 circles.</p><br>

Problem 3

What is the weight of a square if a triangle weighs 4 grams?

Explain your reasoning.

<p>Balanced hanger. Left side, 1 triangle, 2 squares. Right side, 3 triangles, 1 square. </p><br>

Problem 4

ForLesson 4: Combining Like Terms (Part 2)

In each row, decide whether the expression in column A is equivalent to the expression in column B. If they are not equivalent, show how to change one expression to make them equivalent.

Problem 5

ForLesson 13: Solutions of Inequalities

A sign on the road says, “Speed limit: 60 miles per hour.”

Let be the speed of a car. Write an inequality that matches the information on the sign.
Draw a number line to represent the solutions to the inequality.
Could 60 be a value of ? Explain your reasoning.

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