Sum-Product Game

Front

What is the relationship between the sum and product of two numbers?

Back

The sum of two numbers is the result of adding them together, while the product is the result of multiplying them. These two operations are often used together in algebraic problems to find two unknown numbers.

Tags

CCSS.5.OA.A.1

CCSS.5.OA.A.2

Front

How do you set up equations for two unknown numbers based on their sum and product?

Back

If the two unknown numbers are x and y, and their sum is S and product is P, you can set up the equations: x + y = S and x * y = P.

Front

What are the two numbers that have a sum of 14 and a product of 40?

Back

The two numbers are 4 and 10.

Tags

CCSS.HSA-REI.B.4B

Front

What are the two numbers that have a sum of -3 and a product of -18?

Back

The two numbers are 3 and -6.

Tags

CCSS.HSA-REI.B.4B

Front

What are the two numbers that have a sum of 7 and a product of 10?

Back

The two numbers are 2 and 5.

Tags

CCSS.HSA-REI.B.4B

Front

What are the two numbers that have a sum of 2 and a product of -15?

Back

The two numbers are -3 and 5.

Tags

CCSS.HSA-REI.B.4B

Front

What are the two numbers that have a sum of 33 and a product of 32?

Back

The two numbers are 1 and 32.

Tags

CCSS.HSA-REI.B.4B

Front

What is the quadratic equation derived from the sum and product of two numbers?

Back

The quadratic equation can be expressed as x^2 - (sum)x + (product) = 0.

Tags

CCSS.HSA-REI.B.4B

Front

How can you find the roots of a quadratic equation?

Back

You can find the roots of a quadratic equation using the quadratic formula: x = (-b ± √(b² - 4ac)) / 2a.

Tags

CCSS.HSA-REI.B.4B

Front

What is the significance of the discriminant in a quadratic equation?

Back

The discriminant (b² - 4ac) determines the nature of the roots: if it's positive, there are two distinct real roots; if zero, one real root; if negative, two complex roots.

Tags

CCSS.HSA-REI.B.4B