Converting to Solve System of Equations

Multiple Choice

BELL-RINGER QUESTION

What are the slope and the y-intercept of the graph for the linear function shown on the coordinate plane?

• slope (m)= 4

  y-intercept (b)= -6

• slope (m)= -4

  y-intercept (b)= -1.5

• slope (m)= -¹/₄

  y-intercept (b)= -1.5

• slope (m)= ¹/₄

  y-intercept (b)= -6

Directions: Follow along with the video provided and take notes over the types of solutions for system of equations.

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Types of Solutions for System of Equations

Multiple Choice

PARTNER PRACTICE

1. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{y=2x;\ y=-x+3\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

PARTNER PRACTICE

2. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{y=x\ -3;\ y=-3x+1\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

PARTNER PRACTICE

3. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{y=x+4;\ y=x-2\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Directions: Follow along with the video provided and take notes over converting standard form equations into slope-intercept form.

Converting Standard Form to Slope-Intercept Form

Multiple Choice

PARTNER PRACTICE

4. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{2x+4=y;\ y=4x+4\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

PARTNER PRACTICE

5. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{3x+2y=6;\ y=\frac{1}{2}x-3\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

PARTNER PRACTICE

6. Graph the given system of equations and determine if there is one solution, no solution, or infinite solutions?

$$\left\{5x+5y=10;\ 6x=-6y+12\right\}$$

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

Exit Ticket 01/28 - TEK: 8.9A

The two lines graphed on the coordinate grid each represent an equation.

Which ordered pair represents a solution to both equations?

• (-4, 0)

• (-3, 3)

• (3, -3)

• (0, 4)