Systems of Equations

During a math competition, Lillie and Malachi observed that their system of equations had no solution. They concluded that the graph of these equations looks like (a)   .

• intersecting lines

• parallel lines

• skew lines

• intersecting lines

Thalia, Nykia, and Malachi are collaborating on a challenging physics project. They're analyzing the behavior of a system in equilibrium. What do you think is the state of the system?

• One Stable State

• No stable state

• Infinitely Many Stable States

• (0, -1.5)

Hey there! Can you help Jeremiah and Thalia solve this math challenge?
What is the correct answer?

• (1, -1)

• (-1, 1)

• (0, -2)

• (2, 0)

Nykia, Malachi, and Jeremiah are playing a math game. Nykia challenges Malachi to solve for x in the equation 2x - 3 + 4x = 27. Can you help Malachi find the correct answer?

• 12

• 4

• 5

• 15

Malachi is on a treasure hunt and encounters a puzzle:
5x + 7 = 12. What should be his first step to solve this riddle?

• Divide by 5

• Subtract 5

• Multiply by 7

• Subtract 7

Hey there! Malachi was helping Lillie with her math homework when they stumbled upon this equation:

11 = 3x + 8x

Can you help them figure out the value of x?

• x = 1

• x = 2

• x = 3

• x = 4

Hey math wizards! Mike, Lillie, and Nykia are on a treasure hunt and stumbled upon a map with a linear equation:         y = 3/2x + 3. Can you help them determine the slope and y-intercept to continue their adventure?

• slope: 5   y-intercept:  (0,3) 

• slope: 3/2   y-intercept:  (0,3) 

• slope:  4  y-intercept:  (0,3/2)

• slope: 1/5   y-intercept:  (0,5) 

Mike and Lillie are collaborating on a math project! They encountered this system of equations:

y = 2x + 1

y = 4x - 1

Can you help them determine how many solutions this system has?

• One Solution

• No Solution

• Infinite Solutions

Hey there! Lillie was reviewing her algebra notes and encountered this challenging problem:

3x-4=-4+3x

Can you help her determine how many solutions this equation has?

• One Solution

• No Solution

• Infinite Solutions

Malachi and Thalia are collaborating on a project to design a new park layout. They are trying to align two pathways according to the equations:

y=2x + 4

y=2x -4

They need to determine how many points the pathways intersect. Can you help them figure it out?

• One Solution

• No Solution

• Infinite Solutions