Review: Polynomial and Rational Inequalities

Review: Polynomial and Rational Inequalities

11th - 12th Grade

8 Qs

quiz-placeholder

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Review: Polynomial and Rational Inequalities

Review: Polynomial and Rational Inequalities

Assessment

Quiz

Mathematics

11th - 12th Grade

Medium

CCSS
HSA.CED.A.1, HSA.REI.A.2, HSF-IF.C.7D

+7

Standards-aligned

Created by

Dalila R

Used 18+ times

FREE Resource

8 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for x:
 x6x+3>0\frac{-x-6}{x+3}>0  

 (6,3)\left(-6,-3\right)  

 [6, 3)\left[-6,\ -3\right)  

 (, 6)(3, )\left(-\infty,\ -6\right)\cup\left(-3,\ \infty\right)  

 (, 6][3, )\left(-\infty,\ -6\right]\cup\left[-3,\ \infty\right)  

Tags

CCSS.HSA.REI.A.2

2.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Media Image

Assuming the scale is 1, where is f(x) < 0?

[4,1][2, )\left[-4,-1\right]\cup\left[2,\ \infty\right)

(4,1)(2, )\left(-4,-1\right)\cup\left(2,\ \infty\right)

(,4][1, 2]\left(-\infty,-4\right]\cup\left[-1,\ 2\right]

(,4)(1, 2)\left(-\infty,-4\right)\cup\left(-1,\ 2\right)

Tags

CCSS.HSA.APR.B.3

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

CCSS.HSA.REI.D.10

CCSS.HSA.REI.D.11

3.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for x:
 x2x6x^2-x\le6  

 (2,3)\left(-2,3\right)  

 [2,3]\left[-2,3\right]  

 (,2)(3, )\left(-\infty,-2\right)\cup\left(3,\ \infty\right)  

 (,2][3, )\left(-\infty,-2\right]\cup\left[3,\ \infty\right)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

4.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for x:
 2x2+9x5<02x^2+9x-5<0  

 (5, 12)\left(-5,\ \frac{1}{2}\right)  

 [5, 12]\left[-5,\ \frac{1}{2}\right]  

 (,5)(12, )\left(-\infty,-5\right)\cup\left(\frac{1}{2},\ \infty\right)  

 (10,1)\left(-10,1\right)  

Tags

CCSS.HSA.CED.A.1

CCSS.HSA.REI.B.4

5.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for x:
 3xx+410\frac{3x}{x+4}-1\ge0  

 (,4][2, ]\left(-\infty,-4\right]\cup\left[2,\ \infty\right]  

 (4, 2]\left(-4,\ 2\right]  

 [4, 2]\left[-4,\ 2\right]  

 (,4)[2, )\left(-\infty,-4\right)\cup\left[2,\ \infty\right)  

Tags

CCSS.HSA.APR.D.7

CCSS.HSA.CED.A.1

CCSS.HSA.CED.A.3

CCSS.HSA.REI.B.3

6.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Which of the following rational functions has the three attributes: vertical asymptote at x = -3, horizontal asymptote at y = 0, and a zero at -1?

f(x)=(x+1)(x+3)2f\left(x\right)=\frac{\left(x+1\right)}{\left(x+3\right)^2}

f(x)=(x+1)(x+3)f\left(x\right)=\frac{\left(x+1\right)}{\left(x+3\right)^{ }}

f(x)=(x+1)2(x+3)f\left(x\right)=\frac{\left(x+1\right)^2}{\left(x+3\right)}

f(x)=(x1)(x3)2f\left(x\right)=\frac{\left(x-1\right)}{\left(x-3\right)^2}

Tags

CCSS.HSF-IF.C.7D

7.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve for x:
 3x7x+2>1\frac{3x-7}{x+2}>1  

 (2, 92)\left(-2,\ \frac{9}{2}\right)  

 (,2)(92, )\left(-\infty,-2\right)\cup\left(\frac{9}{2},\ \infty\right)  

 (,2)(73, )\left(-\infty,-2\right)\cup\left(\frac{7}{3},\ \infty\right)  

 (2, 73)\left(-2,\ \frac{7}{3}\right)  

Tags

CCSS.HSA.REI.A.2

8.

MULTIPLE CHOICE QUESTION

3 mins • 1 pt

Solve the inequality :

(x - 2)(x + 3)2(x2 + 4) ≥ 0

[2,∞)

[-3] U [2,∞)

(2,∞)

Not Given