Algebra 1 Chapter 4 Test

Machine parts are manufactured with a given tolerance, the permissible limit of variation. How wide can the diameter of an engine cylinder be if you know that the diameter has to be 5 cm wide with a tolerance of +0.005 cm

4.995 cm < d < 5.005 cm

|3x + 2| > 0

All real numbers

Choose the number line that correctly represents the inequality x < 5

B

Choose the number line that correctly represents the inequality x > = -25

C

Choose the number line that correctly represents the solution to the inequalities 2 - x < 5 and 2x + 1 > - 8

C

Choose the number line that correctly represents the inequality |x| < 5.

D

Choose the number line that correctly represents the solution to the inequalities below. 4x < x + 3 or 2x < 6

D

Penny earned a 74% on her first test. If each test has 100 points, what must she earn on her next test to achieve an average of at least 80%?

at least 86%

Choose the number line that correctly represents the inequality |x| > 3

none of the above

|2x - 7| < 3

none of the above

4x < x + 3 or 2x < 6

x < 1

x + 4 (x - 1) < 7 - 2x + 3

x < 2

3x - 5 < x + 11

x < 8

x - 15 < = 8

x < =23

Find all numbers such that twice the number is 7 units from 11.

x = 2, 9

|4x - 10| = 22

x = 8 or x = - 3

- x < 3 and 2x > - 9

x > -3

-4x < 36

x > -9

The difference of 10 and a number is at most six. What is the number?

x > 4

all numbers that are at most 5 all numbers that exceed 5 all numbers that are at least 5 all numbers that are not greater than or equal to 5

x ≤ 5 x > 5 x ≥ 5 x < 5

Machine parts are manufactured with a given tolerance, the permissible limit of variation. Which absolute value inequality correctly represents the diameter of an engine cylinder that is to be 5 cm wide with a tolerance of +0.005 cm

|d - 5| < 0.005

x > 2 and x < 2 x > 2 or x < 2 x < 2 and ≥ 2

Ø all real numbers {2}