Algebra reviewer

Which operation does not change inequality direction?

• Adding same number to both sides

• Multiplying by positive number

• Multiplying by negative number

• Subtracting same number from both sides

In the Cartesian coordinate system, which axis represents the horizontal line?

• y-axis

• z-axis

• x-axis

• Origin

The coordinates of the point P is (3, -5). What is the x-coordinate of this point?

• 5

• -5

• 3

• -3

The distance formula is used to find the distance between which two points in the Cartesian coordinate system?

• Between two vertical lines

• Between two points with known coordinates

• Between a point and the origin

• Between the x-axis and y-axis

What is the Cartesian coordinate system used for?

• To graph quadratic equations

• To represent points in a two-dimensional plane

• To calculate the area of polygons

• To solve systems of equations

You are planning a road trip and want to stop halfway between two towns. Town A is located at (3, 4), and Town B is located at (7, 10). What is the midpoint of your road trip?

• (6, 6)

• (4, 5)

• (5, 7)

• (4, 7)

Two cities, A and B, are located on a map with coordinates A(2, 3) and B(8, 7). You are a pilot flying a straight path between these two cities. How far will the plane travel?

• 5 units

• 6 units

• 7.21 units

• 10 units

Your school is organizing a field trip, and you need to find the midpoint between two meeting spots. The first spot is located at coordinates (4, 6) and the second spot is located at coordinates (10, 2). What is the midpoint of the two meeting spots?

• (7, 4)

• (6, 5)

• (8, 3)

• (5, 5)

A construction company is building two skyscrapers. Building 1 is located at coordinates (5, 8), and Building 2 is at (12, 14). The company wants to know the straight-line distance between the two buildings. How far apart are they?

• 9.22 units

• 8 units

• 7.5 units

• 6.8 units

Which equation correctly represents dividing two complex numbers?

• (a + bi) / (c + di)

• (a + bi) * (c + di) / (c² + d²)

• (a + bi) * (c - di) / (c² + d²)

• (a - bi) / (c - di)