Quiz about Solving Absolute Value Equations

Question 1

$$\left|x+10\right|=11$$

Accepted Answer

1, -21

Answer

3, -3

Answer

4, -4

Answer

0, -2

Question 2

$$\left|-3x-6\right|=15$$

Accepted Answer

$$-7,\ 3$$

Answer

$$-7$$

Answer

$$\frac{26}{3},\ -10$$

Answer

$$-\frac{20}{3},\ 4$$

Question 3

$$\left|4+2x\right|-1=19$$

Accepted Answer

$$8,\ -12$$

Answer

$$-\frac{8}{7}$$

Answer

$$no\ solution$$

Answer

$$\frac{1}{5},\ -\frac{8}{5}$$

Question 4

$$10\left|2x-1\right|+9=59$$

Accepted Answer

$$3,\ -2$$

Answer

$$\frac{5}{3},\ 5$$

Answer

$$-\frac{4}{5},\ 1$$

Answer

$$\frac{12}{5},\ -2$$

Question 5

$$\left|10x+1\right|=41$$

Accepted Answer

$$4,\ -\frac{21}{5}$$

Answer

$$\frac{52}{5},\ -10$$

Answer

$$\frac{5}{2},\ -2$$

Answer

$$\frac{21}{5},\ -3$$

Question 6

$$\left|x-1\right|+2=10$$

Accepted Answer

$$9,\ -7$$

Answer

$$6,\ -6$$

Answer

$$-5,\ 5$$

Answer

$$13,\ 5$$

Question 7

$$\left|4x-2\right|+10=16$$

Accepted Answer

$$2,\ -1$$

Answer

$$\frac{13}{3},\ -3$$

Answer

$$2$$

Answer

$$\frac{2}{3}$$

Question 8

$$-10+\left|2x+9\right|=-13$$

Accepted Answer

$$no\ solution$$

Answer

$$-\frac{1}{2}$$

Answer

$$-5$$

Answer

$$-5,\ 13$$

Question 9

$$9-2\left|4x-2\right|=-3$$

Accepted Answer

$$2,\ -1$$

Answer

$$2,\ 0$$

Answer

$$1$$

Answer

$$1,\ \frac{17}{3}$$

Question 10

$$9+\left|8x+8\right|=33$$

Accepted Answer

$$2,\ -4$$

Answer

$$7,\ -10$$

Answer

$$\frac{8}{5},\ -\frac{12}{5}$$

Answer

$$\frac{12}{7},\ -2$$

Solving Absolute Value Equations

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