Long Test # 2: Quadratic Inequalities

Solve:

 $3x-x^2>0$  

•  $x<0\ \ or\ \ x>3$ 

•  $x<-3\ \ or\ \ x>0$ 

•  $-3<x<0$ 

•  $0<x<3$ 

Solve:

 $6x^2-54≤0$  

•  $-3≤x≤3$  

•  $x≤-3\ \ or\ \ x≥3$  

•  $-3<x<3$  

•  $x<-3\ \ or\ \ x>3$  

 $x^2-9x-112≥0$  

•  $-7<x<16$  

•  $-7≤x≤16$  

•  $x<-7\ \ or\ \ x>16$  

•  $x≤-7\ \ or\ \ x≥16$  

 Which of the following is the solution set of   $x^2-9x-112\ge0$  ?

• {x l -7 < x < 16}

• {x l -7 ≤ x ≤ 16}

• {x l x < -7 or x > 16}

• {x l x ≤ -7 or x ≥ 16}

 $x^2-4x+3\ge0$  

•  $x<1$  or  $x>3$  

•  $1\le x\le3$  

•  $-3\le x\le-1$  

•  $x\le1$  or  $x\ge3$  

Solve the quadratic inequality:

 $x^2-4x-5\le0$  

•  $-1\le x\le5$  

•  $-5\le x\le1$  

•  $x\ge5\ ,\ \ x\le-1$  

•  $x\le-5\ ,\ \ \ x\ge1$  

Solve the quadratic inequality:

 $x^2+10x+16<0$  

•  $2<x<8$  

•  $-8<x<-2$  

•  $-8<x<2$  

•  $-2<x<8$  

Solve the quadratic inequality:

 $x^2+3x-28\ge0$  

•  $x\ge4\ ,\ \ x\le-7$  

•  $x\ge7\ ,\ \ x\le-4$  

•  $-4\le x\le7$  

•  $-7\le x\le4$  

A taxi cab costs $1.75 and $0.75 for each additional mile. You have $20 to spend on you ride. Which inequality could be solved to find how many miles you can travel, if m is the number of additional miles?

• 1.75n + 0.75 ≥ 20
• 1.75n + 0.75 ≤ 20
• 0.75n + 1.75 ≥ 20
• 0.75n + 1.75 ≤ 20

Tags

CCSS.7.EE.B.4B

The 30 members of a choir are trying to raise at least $1,500 to cover travel costs to a singing camp. They have already raised $600. Which inequality could you solve to find the average amounts each member can raise that will at least meet the goal?

• 30x + 600 > 1,500
• 30x + 600 ≥ 1,500
• 30x + 600 < 1,500
• 30x + 600 < 1,500

Tags

CCSS.7.EE.B.4B