Alg. 1 Semester 1 Review (Packet 3)

Front

What is the solution to the system of linear equations: y = 2x - 7 and 8x + 2y = 22?

Back

(3,-1)

Front

Solve the equation: -3x + 8x = 2.

Back

x = (2/5)

Front

What are x and y-intercepts?

Back

The x-intercept is the point where the graph crosses the x-axis (y=0), and the y-intercept is where it crosses the y-axis (x=0).

Front

What does the inequality x < -1 represent on a graph?

Back

It represents all values of x that are less than -1, shown as a line extending left from -1.

Front

Solve the equation: 12d - 3(4d - 1) = 6.

Back

No solution.

Front

What is a linear equation?

Back

An equation that makes a straight line when graphed, typically in the form y = mx + b.

Front

What does 'no solution' mean in the context of equations?

Back

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

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

Slope (m) = (y2 - y1) / (x2 - x1).

Front

What is the standard form of a linear equation?

Back

Ax + By = C, where A, B, and C are integers.

Front

What is the difference between a function and a relation?

Back

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