Algebra 1 Semester 1 Final Exam Review

Front

What is the solution to the equation 2x - 3 + 4x = 27?

Back

x = 5

Front

What does it mean if an equation has no solution?

Back

It means that there are no values for the variable that can satisfy the equation.

Front

What is the rate of change in a linear function?

Back

The rate of change is the ratio of the change in the y-values to the change in the x-values, often represented as 'rise over run'.

Front

Solve the inequality: 5(6 + 3r) + 7 ≥ 127.

Back

r ≥ 6

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input (x-value) corresponds to exactly one output (y-value).

Front

What is the definition of a linear equation?

Back

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

Front

What does the slope of a line represent?

Back

The slope represents the rate of change of y with respect to x, indicating how steep the line is.

Front

What is the y-intercept in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, represented by the value of y when x = 0.

Front

How do you solve for x in the equation 3x + 4 = 10?

Back

Subtract 4 from both sides to get 3x = 6, then divide by 3 to find x = 2.

Front

What is the difference between a function and a relation?

Back

A function is a specific type of relation where each input has exactly one output.