IM: 6.6.2: Truth and Equations (Lesson)
By Formative Staff
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Last updated 7 months 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?
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 true.
Find new values of a, b, and c that make the equation false.
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?
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 true.
Find new values of x, y, and z that make the equation false.
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?
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
1,000 - a = 400
12.6 = b + 4.1
12.6 = b + 4.1
8c = 8
8c = 8
2/3 \sdot d = 10/9
2/3 \sdot d = 10/9
10e = 1
10e = 1
10 = 0.5f
10 = 0.5f
0.99 = 1 - g
0.99 = 1 - g
h + \frac{3}{7} = 1
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.
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.