Quiz about M3 Unit 1 (Equations and Inequalities) Test Review

Question 1

$$7-\frac{5}{2}\left(8x-18\right)=14-10\left(2x-3\right)$$

Accepted Answer

No solution

Answer

All real numbers

Question 2

Solve $$\left|-7-9x\right|=2$$ (select all that apply)

Accepted Answer

-1

Accepted Answer

-5/9

Answer

1

Answer

5/9

Question 3

Solve $$\frac{\left|5x-10\right|}{-2}=-15$$ (select all that apply)

Accepted Answer

-4

Accepted Answer

8

Answer

4

Answer

-8

Question 4

Solve $$2-10\left|x+1\right|=-78$$ (select all that apply)

Accepted Answer

7

Accepted Answer

-9

Answer

9

Answer

-7

Question 5

Solve $$\left|2x+7\right|=6x+13$$ (select all that apply)

Accepted Answer

-3/2

Answer

3/2

Answer

5/2

Answer

-5/2

Question 6

Solve $$11\left(5x-4\right)-7x\ge8\left(6x-7\right)$$

Accepted Answer

All real numbers

Answer

No Solution

Question 7

Solve and write your answer in inequality notation (select all that apply)

$$x+5>11\ or\ 8-10x\ge33$$

Accepted Answer

$$x\le-\frac{5}{2}$$

Accepted Answer

$$x>6$$

Answer

$$x<6$$

Answer

$$x\ge-\frac{5}{2}$$

Question 8

Solve $$7x+5\le-37\ and\ -10x<10$$

Accepted Answer

No Solution

Answer

All real numbers

Question 9

Solve and write your answer in inequality notation (select all that apply)

$$7-3x\le-20\ or\ 5x-6\le9$$

Accepted Answer

$$x\ge9$$

Accepted Answer

$$x\le3$$

Answer

$$x\le9$$

Answer

$$x\ge3$$

Question 10

Solve and write your answer in inequality notation (select all that apply)

$$10+2x\ge22\ or\ 5x-8>-12$$

Accepted Answer

$$x>-\frac{4}{5}$$

Accepted Answer

$$x\ge6$$

Answer

$$x\le6$$

Answer

$$x<-\frac{4}{5}$$

Question 11

$$\left|9-x\right|\ge2$$

Accepted Answer

$$\left(-\infty,7\right]U\left[11,\infty\right)$$

Answer

$$\left(-\infty,7\right)U\left(11,\infty\right)$$

Answer

(7, 11)

Answer

[7, 11]

Question 12

$$\frac{\left|x-3\right|}{-5}>-1$$

Accepted Answer

(-2, 8)

Answer

[-2, 8]

Answer

$$\left(-\infty,-2\right)U\left(8,\infty\right)$$

Answer

$$\left(-\infty,-2\right]U\left[8,\infty\right)$$

Question 13

$$\left|3x+8\right|+1>5$$

Accepted Answer

$$\left(-\infty,-4\right)U\left(-\frac{4}{3},\infty\right)$$

Answer

$$\left(-\infty,-4\right]U\left[-\frac{4}{3},\infty\right)$$

Answer

$$\left(-4,-\frac{4}{3}\right)$$

Answer

$$\left[-4,-\frac{4}{3}\right]$$

Question 14

$$-3-6\left|4x-10\right|<-87$$

Accepted Answer

$$\left(-\infty,-1\right)U\left(6,\infty\right)$$

Answer

(-1, 6)

Answer

$$\left(-\infty,-1\right]U\left[6,\infty\right)$$

Answer

[-1, 6]

Question 15

A candy manufacture puts 240 pieces of candy into each bag. The bag can be off by 8 pieces. Write an absolute value inequality that displays the acceptable amount of candy pieces that can be in a bag.

Accepted Answer

$$\left|x-240\right|\le8$$

Answer

$$\left|x-8\right|\ge240$$

Answer

$$\left|x+240\right|\le8$$

Answer

$$\left|x-240\right|\ge8$$

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