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IM: 6.6.2: Truth and Equations (Lesson)

By Formative Staff
Last updated 24 days ago
16 Questions
2.1: Three Letters
The equation a + b = c could be true or false.

If a is 3, b is 4, and c is 5, is the equation true or false?

Find new values of a, b, and c that make the equation true.

Find new values of a, b, and c that make the equation false.

The equation x \sdot y = z could be true or false.

If x is 3, y is 4, and z is 12, is the equation true or false?

Find new values of x, y, and z that make the equation true.

Find new values of x, y, and z that make the equation false.

2.2: Storytime

Here are three situations and six equations. Which equation best represents each situation?

After Elena ran 5 miles on Friday, she had run a total of 20 miles for the week. She ran x miles before Friday.
Andre’s school has 20 clubs, which is five times as many as his cousin’s school. His cousin’s school has x clubs.
Jada volunteers at the animal shelter. She divided 5 cups of cat food equally to feed 20 cats. Each cat received x cups of food.
x + 5 = 20
x = 20 + 5
5x = 20
x + 20 = 5
5 \sdot 20 = x
20x = 5
2.3: Using Structure to Find Solutions
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.

1/8
3/7
4/7
3/5
5/3
7/3
0.001
0.1
0.5
1
2
8.5
9.5
16.7
20
400
600
1,400

1,000 - a = 400

12.6 = b + 4.1

8c = 8

2/3 \sdot d = 10/9

10e = 1

10 = 0.5f

0.99 = 1 - g

h + \frac{3}{7} = 1

One solution to the equation a + b + c = 10 is a = 2, b = 5 , c = 3 .

How many different whole-number solutions are there to the equation a + b + c = 10? Explain or show your reasoning.