Front

What is the formula to calculate the discounted price of an item?

Back

Discounted Price = Original Price - (Original Price * Discount Rate)

Tags

CCSS.6.RP.A.3C

Front

If y is directly proportional to x, what is the relationship between y and x?

Back

y = kx, where k is the constant of proportionality.

Tags

CCSS.HSF-LE.A.1B

Front

How do you find the value of x when y is given in a direct proportionality problem?

Back

Rearrange the equation y = kx to solve for x: x = y/k.

Front

What is the value of y when x = 2 and y = 3 in a direct proportionality relationship?

Back

k = y/x = 3/2.

Front

If y = x/2, what is the expression for y in terms of x?

Back

y = 0.5x.

Tags

CCSS.6.EE.C.9

Front

How do you evaluate the expression (x + 2y)(x - y) when y is expressed in terms of x?

Back

Substitute y into the expression and simplify.

Tags

CCSS.7.EE.A.1

Front

What is the result of substituting x = -2 into the expression (x + 2y)(x - y) when y = x/2?

Back

The result is 4.

Tags

CCSS.6.EE.A.2C

Front

What does it mean to simplify an expression in algebra?

Back

To reduce the expression to its simplest form by combining like terms and applying arithmetic operations.

Tags

CCSS.7.EE.A.1

Front

What is the power of a product rule in exponents?

Back

(ab)^n = a^n * b^n.

Tags

CCSS.8.EE.A.1

Front

How do you simplify (3x^2y^3)^3?

Back

Use the power of a product rule: 3^3 * (x^2)^3 * (y^3)^3 = 27x^6y^9.