Graphing and Solving Equations on a Coordinate Plane

Solving systems of equations: Solve the system of equations: 5x - 2y = 7 and 3x + 4y = 10

• x = 3, y = -1

• x = 4, y = -2

• x = 2, y = 3

• x = 5, y = 2

Solving and graphing inequalities: Solve and graph the inequality: 2x + 3 < 11

• x > 4

• x < 4

• x < 2

• x = 4

Solving and graphing inequalities: Solve and graph the inequality: 3x + 2 > 8

• x = 2

• x > 2

• x < 2

• x > 8

Solving and graphing inequalities: Solve and graph the inequality: 5 - 2y ≤ 11

• y = 2

• y > 5

• y ≤ 3

• y ≥ -3

How does the Cartesian plane help in visualizing mathematical problems?

• By creating animations

• By using only numbers

• By writing long paragraphs

• By providing a graphical representation

How many axes make up the Cartesian plane?

• 5

• 3

• 2

• 4

What does the equation y = 2x represent on the Cartesian plane?

• circle

• An exponential curve

• A straight line with slope 2 passing through the origin

• A parabola

What is the Cartesian plane also known as?

• Polar plane

• Coordinate plane

• Circular plane

• Rectangular plane

What is the role of the Cartesian plane in graphing equations?

• Measuring time

• Creating 3D shapes

• Solving algebraic equations

• Visualizing relationships between variables

What do the coordinates (3,2) represent on the Cartesian plane?

• Moving 2 units to the left and 3 units down

• Moving 3 units to the left and 2 units down

• Moving 2 units to the right and 3 units up

• Moving 3 units to the right and 2 units up