Free Printable BH.W 1

Worksheets

BH.W 1

Total questions: 21

Worksheet time: 1hrs 25mins

Name

Class

Date

What is the correct first step?

divide by 10

multiply by 10

make it two inequalities with an "or"

make it two inequalities with and "and

| 2x + 12 | < 8
Which is the correct first step?

2x + 12 < 8 and 2x+12 >-8

2x + 12 < 8 or 2x+12 >-8

2x + 12 < 8 and 2x+12 <-8

2x + 12 < 8 or 2x+12 >-8

What is the first step?

Get absolute value alone by subtracting 5 from both sides

Get absolute value alone by dividing by 5 on both sides

Split into two equations

Write an inequality for Graph 3.

x ≤ -2 AND x > 5

x ≤ -2 OR x > 5

x ≥ -2 OR x < 5

-2 ≤ x < 5

v>5 or v<-5

v≥5 or v≤-5

v>-5 or v<5

all real numbers

no solution

x > 2 or x < -22

-22 < x < 2

all real numbers

Solve for n.

n ≥ 10 and n ≤ -6

n > 10 and n < -6

n ≥ 10 or n ≤ -6

n > 10 or n < -6

The radius of the gears produced at a factory must be 6 inches in length with a tolerance of 0.1 inches. The gears with radius beyond the tolerated lengths will be thrown away. Which of the following inequalities can be used to assess which gears are eligible? (x is the length of the radius)

|x – 6| ≤ 0.1

|x – 6| ≥ 0.1

|x – 0.1| ≤ 6

|x – 0.1| ≥ 6

10.

The average temperature in Las Vegas in July is 110 degrees. If the temperature can vary up to 10 degrees, which equation represents this situation?

| x - 10 | < 110

| 110 - x | < 10

| x - 110 | < 10

| 10 - x | < 110

11.

What values of x are solutions to this inequality? |x - 7|<0

x<7

x>7

-7<x<7

No solutions

12.

−2|−2r − 4| = -12

{5,1}

{-5,-1}

{-5,1}

No Solution

13.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-1 < x < 3

1 < x < 3

1 ≤ x ≤ 3

14.

Solve: -3 ≤ 2x - 1 ≤ 5

-1 ≤ x ≤ 3

-2 ≤ x ≤ 6

-3 ≤ x ≤ 3

1 ≤ x ≤ 3

15.

Solve:
3x + 2 < -4 or 4x + 4 > 24

x < -2 or x > 5

x < 2 or x > 5

x < -2 and x > 5

x < 2 and x > 5

16.

Write the inequality in interval notation.

[-4, -1)

(-4, -1)

(-4, -1]

[-4, -1]

17.

Look at the graph. Write the interval notation for the graph.

(-2,5)

(-∞,-2)⋃(5,∞)

[-2,5]

(-∞,-2]∪[5,∞)

18.

Level 2

The room can hold a maximum of 400 people. If there are already 134 people there, how many more can come? Identify the inequality that represents this situation.

x - 134 < 400

x + 134 < 400

x - 134 ≤ 400

x + 134 ≤ 400

19.

Solve.

b < -8

b > -8

All real numbers

No solution

20.

Solve:
2(4x - 3) - 8 = 4 + 2x

x = 5/3

x = 3

x = 1

x = 2

21.

Taisha uses the elliptical cross–trainer at the gym. Her general goal is to burn 280 Calories per workout, but she varies by as much as 25 Calories from this amount on any given day. Write an equation to find the maximum and minimum number of Calories Taisha burns on the cross-trainer

|𝒄 –𝟐𝟖𝟎| = 25

|𝒄 –25| = 280

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BH.W 1

Total questions: 21

Worksheet time: 1hrs 25mins

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