Algebra 1 review

Front

What is factoring in algebra?

Back

Factoring is the process of breaking down an expression into simpler components, or factors, that when multiplied together give the original expression.

Front

What is a common ratio in a geometric sequence?

Back

The common ratio is the factor by which each term in a geometric sequence is multiplied to get the next term.

Front

True or false: The solution, root, x-intercept, and zero of a problem are all the same thing.

Back

True

Front

What does FOIL stand for in algebra?

Back

FOIL stands for First, Outside, Inside, Last, and is a method used to multiply two binomials.

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions and shows that one is greater than, less than, or not equal to the other.

Front

What is the x-intercept of a graph?

Back

The x-intercept is the point where the graph crosses the x-axis, meaning the value of y is zero at that point.

Front

How do you solve (x-5)(x+9) using FOIL?

Back

Using FOIL: First: x*x = x^2; Outside: x*9 = 9x; Inside: -5*x = -5x; Last: -5*9 = -45. Combine: x^2 + 4x - 45.

Front

What is the difference between a solution and a root of an equation?

Back

A solution is a value that satisfies an equation, while a root is a specific type of solution where the equation equals zero.

Front

What does it mean for a graph to represent y > -4x - 3?

Back

It means that the area above the line y = -4x - 3 is included in the solution set.

Front

What is a polynomial?

Back

A polynomial is a mathematical expression that consists of variables, coefficients, and exponents, combined using addition, subtraction, and multiplication.