Algebra 1 Semester 1 Review 2023

Front

Write the equation of the line containing the points (4,2) and (3,5).

Back

y = -3x + 14

Front

What is the solution to the system of equations: 2x + 7y = 3 and y = -1?

Back

(5, -1)

Front

How many solutions does the system have if the lines are parallel?

Back

No solution

Front

Give the equation for the graph in slope-intercept form: What is the equation of the line with a slope of -2 and a y-intercept of 4?

Back

y = -2x + 4

Front

What is the y-intercept in the equation y = 5x - 4?

Back

-4

Front

Define slope in the context of a linear equation.

Back

Slope is the measure of the steepness of a line, calculated as the change in y over the change in x (rise/run).

Front

What does the y-intercept represent in a linear equation?

Back

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

Front

What is the standard form of a linear equation?

Back

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

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

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

Front

What does it mean if a system of equations has infinitely many solutions?

Back

It means the equations represent the same line, and every point on the line is a solution.