Equations Flashcard

Front

What are consecutive even integers?

Back

Consecutive even integers are even numbers that follow one another in order, such as 2, 4, 6 or 26, 28, 30.

Front

How do you find the sum of consecutive integers?

Back

To find the sum of consecutive integers, you can use the formula: Sum = n/2 * (first integer + last integer), where n is the number of integers.

Front

What is the formula for the sum of three consecutive even integers?

Back

If the first even integer is x, then the sum of three consecutive even integers is: x + (x + 2) + (x + 4) = 3x + 6.

Front

What are consecutive odd integers?

Back

Consecutive odd integers are odd numbers that follow one another in order, such as 1, 3, 5 or 29, 31, 33.

Front

How do you find the sum of four consecutive odd integers?

Back

To find the sum of four consecutive odd integers, use the formula: Sum = n/2 * (first integer + last integer), where n is the number of integers.

Front

What is the formula for the sum of four consecutive odd integers?

Back

If the first odd integer is y, then the sum of four consecutive odd integers is: y + (y + 2) + (y + 4) + (y + 6) = 4y + 12.

Front

How do you solve for x in an equation?

Back

To solve for x, isolate x on one side of the equation using algebraic operations such as addition, subtraction, multiplication, or division.

Front

What does it mean to solve a rational equation?

Back

Solving a rational equation involves finding the value of the variable that makes the equation true, often requiring cross-multiplication.

Front

Back

Cross-multiply to get: 3(k - 9) = 5(k + 9). Then solve for k.

Front

What is the distributive property in algebra?

Back

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