Two-Step Equations & Inequalities Word Problems

Front

What is a two-step equation?

Back

A two-step equation is an algebraic equation that requires two operations to solve for the variable. For example, in the equation 2x + 3 = 11, you would first subtract 3 and then divide by 2 to find x.

Tags

CCSS.7.EE.B.4A

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. For example, x > 5 means x is greater than 5.

Tags

CCSS.6.EE.B.8

Front

How do you write an inequality for a situation where you need to save at least a certain amount of money?

Back

You can write an inequality by representing the total amount saved as a variable and setting it greater than or equal to the target amount. For example, if you have $30 and need at least $240, the inequality would be 30 + x ≥ 240.

Tags

CCSS.7.EE.B.4B

Front

What does the variable 'x' typically represent in word problems involving money?

Back

In word problems involving money, 'x' often represents the unknown amount of money, such as the cost of an item or the number of items needed to reach a financial goal.

Tags

CCSS.6.EE.B.7

Front

How do you solve a two-step equation?

Back

To solve a two-step equation, perform the inverse operations in reverse order: first, isolate the variable by undoing the addition or subtraction, and then undo the multiplication or division.

Tags

CCSS.7.EE.B.4A

Front

What is the first step in solving the equation 5x + 1.25 = 38.75?

Back

The first step is to subtract 1.25 from both sides of the equation to isolate the term with the variable: 5x = 38.75 - 1.25.

Tags

CCSS.7.EE.B.4A

Front

What does it mean to 'reach a goal' in the context of inequalities?

Back

Reaching a goal in the context of inequalities means that the value represented by the variable must be equal to or exceed a specified target.

Tags

CCSS.6.EE.B.8

Front

How can you represent a situation where you have a fixed cost and a variable cost?

Back

You can represent this situation with an equation or inequality that combines the fixed cost with the variable cost multiplied by the number of items. For example, total cost = fixed cost + (variable cost per item * number of items).

Front

What is the significance of the '≥' symbol in an inequality?

Back

The '≥' symbol indicates that the value on the left is greater than or equal to the value on the right, meaning it can be equal to or exceed that value.

Tags

CCSS.6.EE.B.8

Front

How do you interpret the solution of an inequality?

Back

The solution of an inequality represents a range of values that satisfy the condition. For example, if x ≥ 10, any value of x that is 10 or greater is a solution.

Tags

CCSS.6.EE.B.8