Quiz about 1.4 Solving Absolute Value Equations

Question 1

What is the reason that absolute value is always written as a positive?

Accepted Answer

Absolute value is talking about distance, distance is always measured by positive numbers.

Answer

Absolute value is talking about numbers so it must be positive.

Answer

Absolute value does not always have to be positive.

Answer

Absolute value is like a clock it has only positive numbers.

Question 2

Order the numbers from least to greatest.
-2, I8I, 5, I-10I, 6

Accepted Answer

-2, 5, 6, 8, 10

Answer

-2, I8I, 5, I-10I, 6

Answer

-10, -2, 5, 6, 8

Answer

I-10I, -2, 5, 6. I8I

Question 3

|x-3|=40

Accepted Answer

x = 43, x = -37

Answer

x = 43, x = -43

Answer

x = -43, x = 37

Answer

x = 43

Question 4

|x+7|=12

Accepted Answer

x = 5, x = -19

Answer

x = -5, x = 19

Answer

x = 5, x = -5

Answer

x = 12, x = -7

Question 5

|-2 - 4n| = 34

Accepted Answer

n = -9, n = 8

Answer

n = 9, n = 8

Answer

n = -9

Answer

n = 8

Question 6

|2a - 10| = 6

Accepted Answer

a = 8, a = 2

Answer

a = 8, a = 5

Answer

a = 2

Answer

a = 8

Question 7

8|-2x + 4| = 96

Accepted Answer

x = -4, x = 8

Answer

x = -4

Answer

x = -4, x = -8

Answer

x = 4, x = 8

Question 8

An absolute value equation is

Accepted Answer

an equation that contains an absolute value expression

Answer

always going to have two solutions

Answer

always going to have one solution

Answer

impossible to solve

Question 9

| 2x - 1 | = -4

Accepted Answer

No Solution

Answer

x = ¹/₂ and x = -4

Answer

x = ^-3/₂ and x = ⁵/₂

Answer

x = ³/₂ and x = ^-5/₂

Question 10

| 3x - 6 | - 9 = -3

Accepted Answer

x = 0 and x = 4

Answer

No Solution

Answer

x = 2 and x = -2

Answer

x = -4 and x = 4

Question 11

| 3n + 12 | = 2n

Accepted Answer

No Solution

Answer

n = -12 and n = ^-12/₅

Answer

n = -12

Answer

n = ^-12/₅

Question 12

What are the two related linear equations for solving:
| x - 4 | = 8

Accepted Answer

x - 4 = 8 and x - 4 = -8

Answer

x - 4 = 8 and x + 4 = 8

Question 13

An extraneous solution is

Accepted Answer

an apparent solution that must be rejected because it does not satisfy the original equation

Answer

not a concern when solving absolute value equations

Question 14

|6x-4| = 14

Accepted Answer

x = -10/6, x = 3

Answer

x = 3, x = 10/6

Answer

x = -3, x = -10/6

Answer

No Solution

Question 15

8 + 3|4x - 6| = 38

Accepted Answer

x = -1, x = 4

Answer

x = 4

Answer

x = -1, x = 0

Answer

x = -4, x = 0

Question 16

Solve for x: -4|x + 5| + 2 = -126

Accepted Answer

x = 27 or x = -37

Answer

x = 26 or x = -36

Answer

x = 123 or x = -133

Answer

No Solution

Question 17

What is always your last step of solving equations with absolute values?

Accepted Answer

Check your answer.

Answer

Your last step depends on the equation.

Answer

Solve for the unknown answer.

Answer

Celebrate that you finished the problem!

Question 18

|3h + 2| = 14 - h

Accepted Answer

h = 3, -8

Answer

h = 3

Answer

h = 3, 8

Answer

no solution

Question 19

|d + 3| = 6 - 2d

Accepted Answer

d = 1

Answer

d = 1, 9

Answer

d = -1

Answer

no solution

Question 20

|6 - 2k| = 18

Accepted Answer

k = -6, k = 12

Answer

k = -6

Answer

k = -6, k = -12

Answer

k = -6, k = 5

Question 21

|-7n + 4| + 9 = 34

Accepted Answer

n = -3, n = 29/7

Answer

n = -3

Answer

n = 1, n = 8

Answer

n = -3, n = 4

Question 22

True or False: Is x = 4 a solution to |x + 5| = -9

Accepted Answer

False

Answer

True

Question 23

Solve and check for extraneous solutions. 2|x + 5| - 6 = 8

Accepted Answer

x = -12 and x = 2

Answer

No Solution

Answer

x  = 12 and x = -2

Answer

x = -12

Question 24

Which values give an absolute value of: -4

Accepted Answer

That's impossible, because absolute value is always positive.

Answer

4

Answer

-4

Answer

0

1.4 Solving Absolute Value Equations

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