Algebra 1 2024-2025 Semester 1 INDEPENDENT OVERALL Review Packet

Front

Solve the inequality for all of the solutions: 2x - 5 < -13

Back

x < -4

Front

Write an equation to represent the situation: Adult tickets cost $25 and Student tickets cost $12.5. A group purchased $125 worth of tickets. Let x be adult tickets and y be student tickets.

Back

25x + 12.5y = 125

Front

Solve: 3(x+4)=3x+12

Back

Infinite solutions

Front

Write an equation to represent the situation: Packs of notebooks cost $4.00 per pack, and packs of markers cost $2.00 per pack. She spent $24 in total. Let x be packs of markers and y be packs of notebooks.

Back

2x + 4y = 24

Front

Solve the inequality for all of the solutions: 4x + 8 > 20

Back

x > 3

Front

What is an inequality?

Back

An inequality is a mathematical statement that compares two expressions, showing that one is greater than, less than, or not equal to the other.

Front

What does it mean to solve an equation?

Back

To solve an equation means to find the value(s) of the variable(s) that make the equation true.

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 than or less than another.

Front

What is the solution set of an inequality?

Back

The solution set of an inequality is the set of all values that satisfy the inequality.

Front

How do you graph an inequality on a number line?

Back

Use an open circle for < or > and a closed circle for ≤ or ≥, then shade the region that represents the solution set.