Algebra 1 EOC review 1

Front

What is the total revenue generated from ticket sales if Homer sells 10 adult tickets at $6 each and 11 children tickets at $4 each?

Back

Total revenue = (10 * 6) + (11 * 4) = $60 + $44 = $104.

Front

How do you subtract the polynomials (3x²-3x+2) and (x²-2x+1)?

Back

Combine like terms: (3x² - x²) + (-3x + 2x) + (2 - 1) = 2x² - x + 1.

Front

What does it mean if an equation has one solution?

Back

It means there is exactly one value of the variable that satisfies the equation.

Front

Solve the equation: 5x + 4 = 2x + 4. What is the solution?

Back

Subtract 2x from both sides: 3x + 4 = 4. Then, subtract 4: 3x = 0. Thus, x = 0.

Front

Back

First, simplify: 97 = -18n + 15 - 8. Then, 97 = -18n + 7. So, -18n = 90, giving n = -5.

Front

How do you solve for A in the literal equation A = 2h?

Back

To isolate A, you can express it as A = 2h.

Front

What is the definition of a polynomial?

Back

A polynomial is a mathematical expression consisting of variables, coefficients, and non-negative integer exponents.

Front

What is the degree of the polynomial 4x^3 - 2x^2 + x - 5?

Back

The degree is the highest exponent, which is 3.

Front

What is the difference between a linear equation and a polynomial equation?

Back

A linear equation has a degree of 1, while a polynomial equation can have a degree of 2 or higher.

Front

What does it mean for an equation to have no solutions?

Back

It means there are no values of the variable that can satisfy the equation.