Algebra 1 Midterm Exam

Front

What is the solution to the equation: 5y + 34 = -2(-7y + 1)?

Back

y = 4

Front

Identify the constant term in the polynomial g(x) = 7x^3 - 3x + 3 + 12x^4.

Back

3

Front

Translate the phrase 'two times a number plus five equals 15' into an equation.

Back

2x + 5 = 15

Front

Calculate the difference: (3 - 2x + 2x^2) - (4x - 5 + 3x^2).

Back

-x^2 - 6x + 8

Front

If A = 3x^2 - 6 and B = x - 4, find A - 4B.

Back

3x^2 - 4x + 10

Front

What is a polynomial?

Back

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

Front

Define a constant term in a polynomial.

Back

A constant term is a term in a polynomial that does not contain any variables.

Front

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

Back

The degree is 3, which is the highest exponent of the variable.

Front

How do you combine like terms in an expression?

Back

You add or subtract the coefficients of terms that have the same variable raised to the same power.

Front

What is the distributive property?

Back

The distributive property states that a(b + c) = ab + ac, allowing you to multiply a single term by each term inside a parenthesis.