TSA 7th Math - STAAR Review - Equations/Inequalities

Front

What is an equation?

Back

An equation is a mathematical statement that asserts the equality of two expressions, typically containing one or more variables.

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, greater than or equal to, or less than or equal to the other.

Front

How do you solve for x in the equation 2x + 3 = 7?

Back

To solve for x, subtract 3 from both sides to get 2x = 4, then divide both sides by 2 to find x = 2.

Front

What does it mean if x ≤ -5?

Back

It means that x can be any number that is less than or equal to -5.

Front

What is the solution to the inequality -3x < 9?

Back

To solve for x, divide both sides by -3 (remember to flip the inequality sign), resulting in x > -3.

Front

What is the difference between an equation and an inequality?

Back

An equation states that two expressions are equal, while an inequality shows that one expression is greater or less than another.

Front

How do you check if x = 1 is a solution to the equation 3x - 2 = 1?

Back

Substitute x = 1 into the equation: 3(1) - 2 = 1, which is true, so x = 1 is a solution.

Front

What is the solution set for the inequality x > 2?

Back

The solution set includes all real numbers greater than 2.

Front

How do you graph the inequality x ≤ 4?

Back

Graph a solid dot at 4 and shade to the left to indicate all numbers less than or equal to 4.

Front

What is the solution to the equation x - 5 = -2?

Back

Add 5 to both sides to find x = 3.