Algebra 1 Midterm Exam

Front

What is a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

How do you solve the equation 2x + 3(5x - 7) = 47?

Back

1. Distribute: 2x + 15x - 21 = 47. 2. Combine like terms: 17x - 21 = 47. 3. Add 21 to both sides: 17x = 68. 4. Divide by 17: x = 4.

Front

What is the difference between a relation and a function?

Back

A relation is a set of ordered pairs, while a function is a specific type of relation where each input is paired with exactly one output.

Front

Identify the graph of the inequality y < 2x + 3.

Back

The graph should show a dashed line for y = 2x + 3, with shading below the line.

Front

What does it mean if an equation has infinite solutions?

Back

It means that there are countless values that satisfy the equation, often because the equation simplifies to a true statement like 0 = 0.

Front

How do you represent a system of equations for a word problem?

Back

Translate the problem into equations using variables to represent unknowns, based on the relationships described.

Front

What is the solution to the equation 3x - 7 = 3(x - 3) + 2?

Back

The equation simplifies to 0 = 0, indicating infinite solutions.

Front

What is the purpose of simplifying an equation?

Back

Simplifying an equation makes it easier to solve and understand the relationships between variables.

Front

What is a linear equation?

Back

A linear equation is an equation that forms a straight line when graphed, typically in the form y = mx + b.

Front

How do you determine if a relation is a function from a set of ordered pairs?

Back

Check if any x-value is repeated with different y-values; if so, it is not a function.