# ﻿Truth and Equations

Warmup

You will need a sheet of paper and pencil/pen for this exercise. Solve the equation and enter your answer in the box. Click “New Problem” to do more.

Activity #1

Explore Truth and Equations.

The following exercise has a situation and equations. You are going to investigate which equations best represent the situation. • Read and answer the following questions. If you get stuck, consider drawing a diagram in the applet provided below the question.

(1.) After Elena ran 5 miles on Friday, she had run a total of 20 miles for the week. She ran miles before Friday.

(2.) Andre’s school has 20 clubs, which is five times as many as his cousin’s school. His cousin’s school has clubs.

(3.) Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received cups of food.

Activity #2

 Match Equations with the Answers. Here below are some equations that contain a variable and a list of values. You are going to find out what each equation means and then find the answer from the list of values. • Drag and drop each answer from the list of values below to match the equation.
• If you get stuck, consider drawing a diagram in the applet below.

• Drag and drop each answer from the list of values below to match the equation.
• If you get stuck, consider drawing a diagram in the applet above.

Activity #3

This exercise is intended to serve as a self evaluation. Apply your knowledge of the concept of truth and equations to answer the questions.

 Exercise Questions.  (2.) Find the value of a, b, and c that make the above equation true.

(3.) Find the value of a, b, and c that make the above equation false.

(5.) Find the value of x, y, and z that make the above equation true.

(6.) Find the value of x, y, and z that make the above equation false.

Challenge #1

(1.) Mai’s water bottle had 24 ounces in it. After she drank ounces of water, there were 10 ounces left.

Challenge #2

(2.) Priya has 5 pencils, each in length. When she lines up the pencils end to end, they measure 34.5 inches.

Challenge #3

Quiz Time