Which equation has no solution?

|–x – 3| = 5

|2x – 1| = 0

|5 – 3x| = –8

|–x + 9| = 0

Free Preview

Which number line represents the solutions to |x – 5| = 1?

A number line from negative 7 to 7 in increments of 1. Two points, one at negative 6 and one at negative 4.

A number line from negative 7 to 7 in increments of 1. Two points, one at 4 and one at 6.

A number line from negative 7 to 7 in increments of 1. Two points, one at negative 5 and one at 1.

A number line from negative 7 to 7 in increments of 1. Two points, one at negative 1 and one at 5.

Which equation has no solution?

|4x – 2| = –6

|–2 – x| = 9

|3x + 6| = 6

|–2x + 8| = 0

What is the solution to –2|2.2x – 3.3| = –6.6?

x = –3

x = 3

x = –3 or x = 0

x = 0 or x = 3

To win a contest, the number of beans in a jar has to be guessed within 20 of the actual number. If the number of beans in the jar is 645, which equation can be used to find the minimum and maximum number of beans that will win the contest, and what is the maximum guess that could win?

|x – 645| = 20; maximum guess: 635 beans

|x – 645| = 20; maximum guess: 665 beans

|x – 20| = 645; maximum guess: 635 beans

|x – 20| = 645; maximum guess: 665 beans

Morgan is walking her dog on an 8-meter-long leash. She is currently 500 meters from her house, so the maximum and minimum distances that the dog may be from the house can be found using the equation |x – 500| = 8. What are the minimum and maximum distances that Morgan’s dog may be from the house?

496 meters and 500 meters

500 meters and 508 meters

492 meters and 508 meters

496 meters and 504 meters

A while back, either James borrowed $12 from his friend Rita or she borrowed $12 from him, but he can’t quite remember which. Either way, he is planning to pay her back or ask that she pay him back this afternoon. If he has $42.80 in his wallet, which equation represents the amount of money he may have after he sees Rita?

|x – 42.80| = 12

|x + 42.80| = 12

|x – 12| = 42.80

|x + 12| = 42.80

Which equation has only one solution?

|x – 5| = –1

|–6 – 2x| = 8

|5x + 10| = 10

|–6x + 3| = 0

Which number line represents the solutions to |–2x| = 4?

A number line from negative 10 to 10 in increments of 2. Two points, one at negative 4 and one at 2.

A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 4.

A number line from negative 10 to 10 in increments of 2. Two points, one at negative 2 and one at 2.

A number line from negative 10 to 10 in increments of 2. Two points, one at negative 8 and one at 8.

For water to be a liquid, its temperature must be within 50 Kelvin of 323 Kelvin. Which equation can be used to determine the minimum and maximum temperatures between which water is a liquid?

|323 – 50| = x

|323 + 50| = x

|x – 323| = 50

|x + 323| = 50

Did you find these answers helpful?