Algebra 1 Semester 1 Review

Front

What is the slope-intercept form of a linear equation?

Back

The slope-intercept form is given by the equation y = mx + b, where m is the slope and b is the y-intercept.

Front

How do you convert the equation y + 1 = 2(x - 2) to slope-intercept form?

Back

Distributing gives y + 1 = 2x - 4. Subtracting 1 from both sides results in y = 2x - 5.

Front

Back

The solution is x = 5.

Front

What is the Vertical Line Test?

Back

The Vertical Line Test is a method to determine if a curve is a function. If any vertical line intersects the curve more than once, it is not a function.

Front

What does it mean if a system of equations has no solutions?

Back

It means the lines represented by the equations are parallel and will never intersect.

Front

What is a function?

Back

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

Front

How do you identify the y-intercept in the equation y = mx + b?

Back

The y-intercept is the value of b in the equation, which is the point where the line crosses the y-axis.

Front

What is the slope of the line represented by the equation y = 3x + 2?

Back

The slope is 3.

Front

What is the graphical representation of the equation y = -x + 2?

Back

The graph is a straight line with a slope of -1 and a y-intercept at (0, 2).

Front

Back

Subtract 3 from both sides to get 2x = 8, then divide by 2 to find x = 4.