ADV 2nd 9 Weeks

Front

What is a solution to a system of inequalities?

Back

A solution to a system of inequalities is a set of values that satisfies all inequalities in the system simultaneously.

Front

Which point is not a solution to the system of inequalities: (0,-1), (0,3), (4,0), (6,-2)?

Back

(0,-1) is not a solution.

Front

What happens to a point when it is rotated 180 degrees about the origin?

Back

The coordinates of the point change signs. For example, Z(4, -2) becomes Z'(-4, 2).

Front

What is the image of the point Z(4, -2) after a 180-degree rotation about the origin?

Back

Z'(-4, 2) is the image.

Front

How do you solve the inequality 3 | 2x + 7| - 7 < -4?

Back

First, isolate the absolute value: |2x + 7| < 1. Then solve for x: x < -3 and x > -4.

Front

What is the solution set for the inequality 3 | 2x + 7| - 7 < -4?

Back

x < -3 and x > -4.

Front

What is a transformation in geometry?

Back

A transformation is an operation that moves or changes a shape in some way, such as translation, rotation, reflection, or dilation.

Front

What type of transformation is a translation?

Back

A translation moves every point of a shape the same distance in the same direction.

Front

What is the slope-intercept form of a line?

Back

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

Front

What is the equation of the line in slope-intercept form if the slope is -2 and the y-intercept is 5?

Back

y = -2x + 5.