Systems and Inequalities Review

Systems and Inequalities Review

Quick overview of last month

Solving Systems by Substitution

look for or create a y= or x=

Multiple Choice

Which correctly sets up the first step to solve the system by substitution?
 
5x + 4y= −14
y = −7x − 15  

•  $5x+4\left(-7x-15\right)=-14$  

•  $5\left(-7x-15\right)+4y=-14$  
  

•  $5x+4y=-7x-15$  
  

•  $5x+7x-15=-14$  
  

Solving Systems by Elimination

look for or create a zero pair with a variable

Multiple Choice

Which is the correct result after performing the first step of solving by elimination?

4x+9y=28

-4x-y=-28

• $10y=56$
  

• $No\ Solution$
  

• $8x+8y=0$
  

• $8y=0$

Solving Systems by Graphing

Multiple Choice

What is the solution to the system?

• (0, 3)

• (1, -1)

• (-3, 1)

• (1, 3)

Multiple Choice

How many solutions will this system have?

• No solution

• One Solution

• I Don't Know

• Infinitely Many Solutions

Multiple Choice

When you graph the exact same equation twice,

• you will have no solution.

• you will have one solution.

• you will have infinite solutions.

• you will graph a giraffe.

Multiple Choice

^{What is the solution?}

• 1

• -2

• (1, 2)

• (1, -1)

Multiple Choice

Is (0, 16) a solution to the system of equations?
-3x=4y+2
2y=4x+32

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Multiple Choice

Is (-2,7) a solution to the system of equations?
y=4x+15
-3x+5y=41

• Yes, it is a solution to the system of equations

• No, it only satisfies the first equation, and fails to satisfy the second.

• No, it only satisfies the second equation, and fails to satisfy the first.

• No, it fails to satisfy both equations

Graphing Linear Inequalities

shading rules

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• D

Multiple Choice

Select the correct graph for each inequality.

• A
• B
• C
• _D

Multiple Choice

Which point is NOT a solution?

• (0,1)

• (0,2)

• (-2,0)

• (2,0)

Multiple Choice

Determine if (0, 1) is a solution to  $y>-6x+1$  .

• (0,1) is a solution

• (0, 1) is not a solution.