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Ninth Grade (Grade 9) Inequalities Questions

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Grade 9 Inequalities
Solve the inequality.
[math]2 - 3x > -10[/math]
  1. [math]x> -4[/math]
  2. [math]x > 4[/math]
  3. [math]x < -4[/math]
  4. [math]x < 4[/math]
Grade 9 Inequalities CCSS: HSA-REI.B.3
Solve the inequality [math]–3x + 8 < 11[/math].
  1. [math]x<1[/math]
  2. [math]x<-1[/math]
  3. [math]x> -1[/math]
  4. [math]x>1[/math]
Grade 9 Inequalities
What is the solution set to the inequality [math]-3x+2>=17[/math] ?
  1. [math]x > -5[/math]
  2. [math]x>=-5[/math]
  3. [math]x<-5[/math]
  4. [math]x<=-5[/math]
Grade 9 Inequalities
What is the solution to the inequality below?

12x > 5(x-2)
  1. x > -2/7
  2. x < -2/7
  3. x > -10/7
  4. x < -10/7
Grade 9 Inequalities
What is the solution set to the inequality [math]-5x-2<-22[/math]?
  1. [math]x>4[/math]
  2. [math]x<=6[/math]
  3. [math]x>=4[/math]
  4. [math]x<4[/math]
Grade 9 Inequalities
What is the solution set for [math]-5x+12<=-8[/math]?
  1. [math]x<=-4[/math]
  2. [math]x<=4[/math]
  3. [math]x>=4[/math]
  4. [math]x>4[/math]
Grade 9 Inequalities
What is the solution set for [math]2x>10[/math]?
  1. [math]x<5[/math]
  2. [math]x<=5[/math]
  3. [math]x>5[/math]
  4. [math]x>=5[/math]
Grade 9 Inequalities
What is the solution set for [math]-4x>=20[/math]?
  1. [math]x>=-5[/math]
  2. [math]x> -5[/math]
  3. [math]x<=-5[/math]
  4. [math]x<-5[/math]
Grade 9 Inequalities
Solve the inequality for x:
[math]12 < -4(3x - 6) [/math]
  1. [math]x < -1[/math]
  2. [math]x >1 [/math]
  3. [math]x > -1[/math]
  4. [math]x <1[/math]
Grade 9 Inequalities
Solve the inequality for x:

[math]-8(4x + 6) < -24[/math]
  1. [math]x < -3/4[/math]
  2. [math]x > -3/4[/math]
  3. [math]x < 3/4[/math]
  4. [math]x > 3/4[/math]
Grade 9 Inequalities
Solve the inequality: [math]4w-6>6w-20[/math]
  1. [math]w<7[/math]
  2. [math]w<2[/math]
  3. [math]w<-7[/math]
  4. [math]w<-2[/math]
Grade 9 Inequalities CCSS: HSA-REI.D.10
Choose the best description of the graph represented by this inequality, [math]y < -4x^2 + 8x - 5.[/math]
  1. opens down; dashed line; shading down inside parabola
  2. opens up; dashed line; shading up inside parabola
  3. opens down; solid line; shading down outside parabola
  4. opens up; solid line; shading up and outside parabola
Grade 9 Inequalities
Solve the inequality: [math]|f-9|>=2[/math]
  1. [math]7< f <11[/math]
  2. [math]f<7 or f>11[/math]
  3. [math]7<=f<=11[/math]
  4. [math]f<=7 or f>=11[/math]
Grade 9 Inequalities
Which inequality is described by the statement: y is at most -8?
  1. [math]y<=-8[/math]
  2. [math]y>=-8[/math]
  3. [math]y<-8[/math]
  4. [math]y> -8[/math]
Grade 9 Inequalities
Give the equivalent inequality which results from multiplying both sides of the given inequality by -2: [math]-4x<=10[/math]
  1. [math]-8x>=20[/math]
  2. [math]-8x<=-20[/math]
  3. [math]8x>=-20[/math]
  4. [math]-8x> 20[/math]
Grade 9 Inequalities CCSS: HSA-REI.B.3
Solve the inequality.
[math]-3x - 8 < 16[/math]
  1. [math]x < -8[/math]
  2. [math]x > -8[/math]
  3. [math]x > 8[/math]
  4. [math]x < 8[/math]
Grade 9 Inequalities
Solve: [math]4y-1>=7 or 2y +5<17[/math]
  1. [math]y>=2 and y<6[/math]
  2. [math]y<=2 or y<6[/math]
  3. [math]y>=2 or y<6[/math]
  4. [math]y<2 or y>=6[/math]
Grade 9 Inequalities
Solve for the inequality for [math]w[/math].
[math]-2w<-10[/math]
  1. [math]w>20[/math]
  2. [math]w<-5[/math]
  3. [math]w<-2[/math]
  4. [math]w>5[/math]
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