HA: 10. multi-step equations and word problem FLASHCARD

A multi-step equation is an equation that requires more than one step to solve, often involving operations such as addition, subtraction, multiplication, and division.

First, distribute the 2: 3x + 8x - 8 = 3. Then combine like terms: 11x - 8 = 3. Add 8 to both sides: 11x = 11. Finally, divide by 11: x = 1.

The first step is to distribute the 5: 85 = 10x - 25 + x.

An equation has no solution if there are no values that can satisfy the equation, often resulting in a contradiction.

Let the integers be x, x+1, and x+2. Set up the equation: x + (x+1) + (x+2) = 87. Solve for x to find the smallest integer.

First, divide both sides by 4: 2x - 6 = 12. Then add 6 to both sides: 2x = 18. Finally, divide by 2: x = 9.

A word problem is a mathematical problem that is presented in the form of a narrative or real-life scenario, requiring interpretation and problem-solving skills.

To determine how many items you can buy, divide the total amount of money by the cost of one item.

Combining like terms involves adding or subtracting terms that have the same variable raised to the same power to simplify the equation.

The distributive property allows you to multiply a single term by each term inside a set of parentheses, which is essential for simplifying expressions.