Int3 3.1 Check for understanding

When graphing an inequality, you use an open dot when you use which symbol?

• <, >
• ≤, ≥ 
• ≤, <
• ≥, >

Tags

CCSS.6.EE.B.8

Match the graph with its inequality.

• a > 11
• a < 11
• a ≥ 11
• a ≤ 11

Tags

CCSS.6.EE.B.8

Identify the inequality.

• y > x+1

• y ≤ x+1

• y ≥ x+1

• y < x+1

Which point below is NOT part of the solution set?

• (0, 0)
• (-10, -10)
• (-1, 5)
• (5, 20)

Tags

CCSS.HSA.REI.D.12

Solve:

|x + 3| > 8

• x > 5 or x < -11

• x > 5

• -11 < x > 5

• all real numbers

Solve.

 $\left|2x+1\right|+15\ =\ 8$  

•  $x=-4\ ,\ 3$  
  

•  $x=-3\ ,\ 4$  

• all real numbers

• no solution

Use the graph to determine the solutions of

 $x^3-2x^2=x-2$  

•  $x=-1,\ 1,\ 2$  

•  $x=0,\ 2$  

•  $\left(-1,-3\right),\ \left(1,-1\right),\ \left(2,\ 0\right)$  

• infinitely many solutions

Use the graph to determine the solutions of

 $x^3-2x^2=0$  

•  $x=-1,\ 1,\ 2$  

•  $x=0,\ 2$  

•  $\left(-1,-3\right),\ \left(1,-1\right),\ \left(2,\ 0\right)$  

• infinitely many solutions

Use the graph to determine the solutions of the system of equations:

 $y=x^3-2x^2$  
 $y=x-2$  

•  $x=-1,\ 1,\ 2$  

•  $x=0,\ 2$  

•  $\left(-1,-3\right),\ \left(1,-1\right),\ \left(2,\ 0\right)$  

• infinitely many solutions

Solve for the extraneous solution of

 $\sqrt{-3x+10}=x$  

•  $-5$  

•  $5$  

•  $-2$  

•  $2$