IM 6.6.2 Lesson: Truth and Equations

[size=150]The equation [math]a+b=c[/math] could be true or false.[/size][br][br]If [math]a[/math] is 3, [math]b[/math] is 4, and [math]c[/math] is 5, is the equation true of false?
Find values of [math]a[/math], [math]b[/math], and [math]c[/math] that make the above equation true.
Find values of [math]a[/math], [math]b[/math], and [math]c[/math] that make the equation false.
[size=150]The equation [math]x\cdot y=z[/math] could be true or false.[br][/size][br]If [math]x[/math] is 3, [math]y[/math] is 4, and [math]z[/math] is 12, is the equation true of false?
Find values of [math]x[/math], [math]y[/math], and [math]z[/math] that make the above equation true.
Find values of [math]x[/math], [math]y[/math], and [math]z[/math] that make the equation false.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
After Elena ran 5 miles on Friday, she had run a total of 20 miles for the week. She ran [math]x[/math] miles before Friday.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
Andre’s school has 20 clubs, which is five times as many as his cousin’s school. His cousin’s school has [math]x[/math] clubs.
Here is a situation and six equations. Which equation best represents the situation? If you get stuck, consider drawing a diagram in the applet below.
Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received [math]x[/math] cups of food.
Here are some equations that contain a variable and a list of values. Think about what each equation means and find a solution in the list of values. If you get stuck, consider drawing a diagram in the second applet below..
Explain why your solution is correct.
One solution to the equation [math]a+b+c=10[/math] is [math]a=2[/math], [math]b=5[/math], [math]c=3[/math]. [br][br]How many different whole-number solutions are there to the equation [math]a+b+c=10[/math]? Explain or show your reasoning.
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Information: IM 6.6.2 Lesson: Truth and Equations