Algebra 2 Review

Front

What is the factored form of x³ - 125?

Back

(x - 5)(x² + 5x + 25)

Tags

CCSS.HSA.APR.C.4

Front

How do you represent the total number of animals and legs in a barn with horses and chickens?

Back

x + y = 15 and 4x + 2y = 44, where x = number of horses and y = number of chickens.

Tags

CCSS.8.EE.C.8C

Front

What is the simplified form of (n-6)/(n-7) when factoring and canceling out?

Back

1/(n-7)

Tags

CCSS.HSA.APR.D.6

Front

What is the result of dividing a polynomial by a monomial?

Back

Use polynomial long division or synthetic division.

Tags

CCSS.HSA.APR.D.6

Front

If you pay $27 in sales tax at a 6% rate, what is the purchase price?

Back

$450

Front

What is the formula for the difference of cubes?

Back

a³ - b³ = (a - b)(a² + ab + b²)

Tags

CCSS.HSA.APR.C.4

Front

How do you solve a system of equations using substitution?

Back

Solve one equation for one variable and substitute into the other equation.

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Front

What is the quadratic formula?

Back

x = (-b ± √(b² - 4ac)) / (2a) for ax² + bx + c = 0.

Tags

CCSS.HSA-REI.B.4B

Front

What is the definition of a polynomial?

Back

A polynomial is an expression consisting of variables and coefficients, using only addition, subtraction, multiplication, and non-negative integer exponents.

Front

What is the process of factoring a trinomial?

Back

Look for two numbers that multiply to ac and add to b in ax² + bx + c.