7.EE.B.4 Solving and Framing both Equations and Inequalities

Solve problems with equations and inequalities (px + q = r form)

Standard 7.EE.B.4

Multiple Choice

Use the distributive property to simplify the expression: $$4(3x + 7)$$ .

• $$12x + 28$$

• $$7x + 28$$

• $$12x + 11$$

• $$12 + 28x$$

Solving Two-Step Inequalities

Math Response

Solve

$$x-9>10$$

Type answer here

Correct Answer: x>19

Deg^°

Rad

Math Response

Solve

$$2x\le14$$

Type answer here

Correct Answer: x\le7

Deg^°

Rad

Math Response

Solve

$$2x+1<17$$

Type answer here

Correct Answer: x<8

Deg^°

Rad

Math Response

Solve

$$5x+3\le33$$

Type answer here

Correct Answer: x\le6

Deg^°

Rad

Don't Forget!

When you divide by a negative, the inequality switches directions

Math Response

Solve

$$-3x<9$$

Type answer here

Correct Answer: x>-3

Deg^°

Rad

Math Response

Solve

$$-4x\le-8$$

Type answer here

Correct Answer: x\ge2

Deg^°

Rad

Math Response

Solve

$$-2x+5\le-11$$

Type answer here

Correct Answer: x\ge8

Deg^°

Rad

Math Response

Solve

$$-3x+7\ge37$$

Type answer here

Correct Answer: x\le-10

Deg^°

Rad

Multiple Choice

Which number line shows the following inequality?

• A

• B

• C

• D

Math Response

Write an inequality that matches the number line using the variable "x".

Type answer here

Correct Answer: x<5

Deg^°

Rad

Math Response

Write an inequality that represents the number line using the variable "x".

Type answer here

Correct Answer: x\ge2

Deg^°

Rad

Math Response

Write an inequality that represents the number line using the variable "x".

Type answer here

Correct Answer: x\le0

Deg^°

Rad

Multiple Choice

Which Inequality shows the solution for $$-2x\le-12$$

• A

• B

• C

• D

• None of these

Multiple Choice

Which number line shows the solution to the inequality $$-3x-5<2$$

• A

• B

• C

• D

Equations & Inequalities Review

Solving Equations

• Use the inverse operation to quarantine the variable

• Addition and subtraction are inverses (opposites)

• Multiplication and division are inverses (opposites)

Multiple Choice

Solve the equation: 8 + y = 15

• 7

• 23

• 9

• 4

Multiple Choice

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

Multiple Choice

Solve for m:

7m = 21

• 14

• 28

• 3

• 147

Multiple Choice

Solve for k:

k - 12.5 = 16

• 28.5

• 3.5

• 1.5

• 200

Solving Inequalities

• This is the EXACT SAME as solving equations, just with a inequality!

• greater than: >

• less than: <

• greater than or equal to: ≥

• less than or equal to: ≤

Multiple Choice

Which inequality is this: >

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

Which inequality is this: <

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

Which inequality is this: ≥

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

Which inequality is this: ≤

• less than

• greater than

• less than or equal to

• greater than or equal to

Multiple Choice

• y<139

• y≥55

• y>55

• y≤139

Multiple Choice

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Multiple Choice

10 ≥ x - 3

• x ≤ 13

• x ≥ 13

• x ≤ 7

• x ≥ 7

Graphing Inequalities

• Open circle: >, <

• Closed Circle: ≤, ≥

Multiple Choice

Pick the correct letter for:
6 > x

• A
• B
• C
• D

Multiple Choice

Pick the equivalent inequality:

6 > x

• x > 6

• x < 6

• x ≤ 6

• x ≥ 6

Multiple Choice

You must be at least 126 inches tall to ride a roller coaster.

• r > 126

• r < 126

• r ≥ 126

• r ≤ 126

Multiple Choice

All cats eat more than 5 cat treats a day.

• t > 5

• t < 5

• t ≥ 5

• t ≤ 5

Multiple Choice

Would the inequality have a open or closed circle? p > 3

• open

• close

When multiplying or dividing by a negative, you FLIP the inequality

Multiple Choice

Does the sign need to flip when solving?
-2x ≥ 22

• YES
• NO

Multiple Choice

Solve

-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

Multiple Choice

Solve

-8x < 48

• x < -6

• x > -6

• x < 6

• x > 6

Multiple Choice

Solve:  $$-\frac{x}{6}\ge5$$

• $$x\le30$$  

• $$x\le-30$$  

• $$x\ge30$$  

• $$x\ge-30$$