Module 2B Practice Test / Review

​These are things you NEED TO KNOW for the test on Friday.

MULTIPLY or DIVIDE by a NEGATIVE #

You flip the inequality sign (<, >, ≤, ≥) when you multiply or divide both sides of the inequality by a negative number.

The reason for flipping the sign is that multiplying or dividing by a negative number reverses the relative order of the numbers on the number line.

Consider a simple, true inequality: 2<5

Multiply by −1: When you multiply both sides by −1, you get:   2⋅(−1)=−2  and   5⋅(−1)=−5

On the number line, −2 is actually greater than −5. .

If you didn't flip the sign, you'd have −2<−5, which is false. To keep the inequality true, you must flip the sign: −2>−5

When reading an inequality on Desmos Graphing, make sure you remember the difference between a dashed line and a solid line. The arrow on a number line should point towards the shaded area on Desmos Graphing.

A dashed line is used with an OPEN circle.

A solid line us used with a CLOSED circle.

Fill in the Blanks

What inequality does this number line show?

Write your answer starting with x.

For example,  x≤10 .

(This is an OPEN circle on the number, not shaded).

Draw

Angelina spent less than 15 hours practicing for her surfing competition. How many hours could she have spent surfing? Graph the solution to the inequality on the number line.

Multiple Select

Select all values that are part of the solution set for the following inequality.

• -4

• 3.75

• 5

• -3.75

Multiple Choice

Which of the following is part of the solution set?

• 0, 1, 2

• -5, -4, -3

• 3, 4, 5

• -2, 0, 2

Multiple Choice

Which of the following is part of the solution set?

• 0, 1, 2, 3

• 5, 4, 3, 1

• 2 ,3, 4, 5

• 1, 2, 3, 5

Multiple Choice

Which of the following is part of the solution set?

• -2, 0, 2, 4

• -5, -4, -3, -1

• -1, 0, 1, 3

• 3, 0, -3, -5

Multiple Choice

Which of the following equations match the given graph?

• x ≥ -1

• x ≤ -1

• x > -1

• x < -1

Multiple Choice

Match the graph with its inequality.

• a > 11

• a < 11

• a ≥ 11

• a ≤ 11

Multiple Choice

Graph the solution set of the inequality.

–4n + 1 > –23

Multiple Choice

Match the graph with its inequality.

• 4(b-3) - 6 > –2

• 4(b+2) +4 < –2

• 4(b+3) - 6 ≥ –2

• 4(b+3) -6 ≤ –2

Multiple Choice

-4(5x + 3) - 6x > 11 - 3x

• x < -1

• x < -7

• x < 5

• x > 5

Multiple Choice

Which of the choices are two solutions to

x < 8?

• 11 and 17

• 11 and 7

• 7 and 3

• -14 and 10

Multiple Choice

Sue's lunch account has $37 and she spends $2.50 every day.  How many days will Sue be able to buy lunch?

• 14 days

• 15 days

• 16 days

• 20 days

Multiple Choice

The inequality below represents the number of pencils(y) a teacher hands out in one month.

y + 25 > 72

Which statement best describes the number of pencils the teacher hands out?

• exactly 47 pencils

• less than 47 pencils

• more than 47 pencils

Multiple Choice

Solve the equation:
½ (2x + 6) = 3x + 13

• x = 8
• x = -5
• x = 7

Multiple Choice

Solve the inequality and graph its solution.

Multiple Choice

A taxi cab costs $1.75 and $0.75 for each additional mile (m). What is the greatest number of miles you can go if you only have a $20 bill in your pocket?

20 > 1.75 + 0.75m

• m < 24

• m > 24

• m > 23

• m < 23

Multiple Choice

Elena bought grapes by the pound (x). They cost $3.49 per pound. She can spend no more than $20. What is the greatest number of pounds of grapes can she buy?

20 > 3.49x

• 5

• 6

• 4

• 2