Algebra 2

Front

What is the formula for the perimeter of a rectangle?

Back

The perimeter P of a rectangle is given by the formula P = 2(length + width).

Front

If the length of a rectangle is represented as (x + 2) and the width as 5, how do you express the area?

Back

The area A of the rectangle is A = length × width = (x + 2) × 5.

Front

What does it mean to solve for x in an equation?

Back

To solve for x means to find the value of x that makes the equation true.

Front

How do you combine like terms in an algebraic expression?

Back

Combine like terms by adding or subtracting the coefficients of terms that have the same variable raised to the same power.

Front

What is the first step in solving the equation 6x - 2 = -2(x - 3)?

Back

The first step is to distribute -2 on the right side: 6x - 2 = -2x + 6.

Front

If Andrew sold three times as many shirts as Tyler and together they sold 120 shirts, how can you express Tyler's sales algebraically?

Back

Let Tyler's sales be T. Then Andrew's sales are 3T, and the equation is T + 3T = 120.

Front

What is the value of x if the equation is 10x + 10 = 20?

Back

To solve for x, subtract 10 from both sides: 10x = 10, then divide by 10: x = 1.

Front

How do you find the total sales from ticket sales?

Back

Total sales = (number of adult tickets × price per adult ticket) + (number of children tickets × price per children ticket).

Front

What is the solution for x if the area of a rectangular field is 35 square feet, with length x + 2 and width 5?

Back

Set up the equation: (x + 2) × 5 = 35. Solve for x: x + 2 = 7, so x = 5.

Front

What is the definition of a variable in algebra?

Back

A variable is a symbol (often a letter) that represents an unknown value in mathematical expressions or equations.