Two step inequalities lesson / review

Two step inequalities lesson / review

By Mariah Brown

Multiple Choice

16 - 4a > 8

• a<-2
• a>-2
• a<2
• a>2

Multiple Choice

-3x − 4 < 5

• x > -3
• x < -3
• x < (1 ⁄ 3)
• x > (1 ⁄ 3)

Multiple Choice

2- 3x ≤ 20

• x  ≥ -6
• x ≤ -6
• x ≤ -7
• x  ≥ -7

Multiple Choice

Solve the inequality.
-7x + 1 ≤ 22

• x < 3
• x ≤ 3
• x > -3
• x ≥ -3

Multiple Choice

Solve and graph the inequality.
77 ≤ 5 + 8n

• A
• B
• C
• D

Multiple Choice

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D

Multiple Choice

Find the solution

• $$X\ge4$$

• $$X\le4$$

• $$X\ \le\ 10$$

• $$X\ >\ 4$$

Multiple Choice

-75 + 50x < 125

• x < 4
• x > 4
• x < 10 
• x > 10 

Multiple Choice

Solve and graph the inequality.
-169 ≤ 8m - 9

• A
• B
• C
• D

Multiple Choice

Solve and graph the inequality.
7n - 1 > 76

• A
• B
• C
• D

Multiple Choice

Which number line shows the solution to:
11x + 14 < –8? 

• a
• b
• c
• d

Multiple Choice

Which point makes the inequality true?-4x + 9 ≤ -23

• x = - 4
• x = 7
• x = -10
• x = 9

Multiple Select

Which of the following inequalities are solutions to  $$x+6\ge10$$  ?

• 3

• 4

• 5

• 6

Multiple Choice

$$w\le9$$  

How do you read this inequality?

• w is less than or equal to 9

• w is greater than or equal to 9

• w is less than 9

• w is greater than 9

Multiple Choice

$$r>100$$   How do you read this inequality?

• r is less than or equal to 100

• r is greater than or equal to 100

• r is less than 100

• r is greater than 100

Multiple Choice

$$z<10$$  How do you read this inequality?

• z is less than or equal to 10

• z is greater than or equal to 10

• z is less than 10

• z is greater than 10

Multiple Select

Which of the following are solutions to the inequality  $$5<x$$  ?

• 3

• 6

• 8

• 10

Multiple Select

Which of the following are solutions to the inequality $$w\ge45$$  ?

• 50

• 60

• 70

• 80

Multiple Select

Which of the following are solutions to the inequality $$t\le20$$  ?

• 18

• 19

• 20

• 21

Multiple Choice

Is 0 a solution to 3x - 2 > -1 ?

• yes

• no

Multiple Choice

Is 7 a solution to $$\frac{3+x}{2}\ge2$$  ?

• yes

• no

Multiple Choice

Is -5 a solution to 2x + 5 $$\ge$$  -4 

• yes

• no

Multiple Choice

Is -5 a solution to 2x + 5 $$\ge$$  -4 

• yes

• no

Multiple Choice

Is -4 a solution to $$\frac{x-2}{2}\le1$$  

• yes

• no

Multiple Choice

$$\frac{x}{4}\le8$$  

• 32
• 34
• 36
• 40

Multiple Select

Which of the following choices represents a solution to the given inequality?   Note: There may be more than 1 correct choice. $$-2x\ge6$$  

Hint:  Substitute each choice for the variable in the inequality.  If a true statement results, then that value is a solution.  If a false statement results, then that value is not a solution.

• $$x=0$$  

• $$x=3$$  

• $$x=-3$$  

• $$x=-5$$  

• $$x=5$$  

Multiple Select

Which of the following choices represents a solution to the given inequality?   Note: There may be more than 1 correct choice.

$$3x-6\le0$$   Hint:  Substitute each choice for the variable in the inequality.  If a true statement results, then that value is a solution.  If a false statement results, then that value is not a solution.

• $$x=2$$  

• $$x=1$$  

• $$x=0$$  

• $$x=-1$$  

• $$x=-2$$  

Multiple Select

Which of the following choices represents a solution to the given inequality?   Note: There may be more than 1 correct choice. $$\frac{x-2}{4}>1$$  

Hint:  Substitute each choice for the variable in the inequality.  If a true statement results, then that value is a solution.  If a false statement results, then that value is not a solution.

• $$x=0$$  

• $$x=2$$  

• $$x=6$$  

• $$x=8$$  

• $$x=10$$  

Multiple Choice

-3y + 2 > 11

• y < -3
• y > -3
• y < 3
• y > 3

Multiple Choice

Solve the inequality

• x ≤ -17

• x ≤ -11

• x ≤ 7

• x ≤ -35

Multiple Select

Identify all the values that are NOT part of the solution set for the following inequality:

x - (-5) > 12

• 7.5

• 7

• -17

• 6.9

• 9 2/9

Multiple Select

Identify each value of x that makes 12 + 2x < 16 true.

• -16

• -12

• -1

• 0

• 2

Multiple Choice

Solve the following two-step inequality.

• x > -11

• x < -11

• x > -1

• x < 0

Multiple Choice

$$\frac{x}{3\ }\ +\ 8\ <\ 10$$  

• $$x\ >\ -6$$  

• $$x\ <\ 6$$  

• $$x\ >\ 6$$  

• $$x\ <\ -6$$  

Multiple Choice

$$\frac{x}{2}+7\ge-11$$  

• $$x\ \le-9$$  

• $$x\ \ge-9$$  

• $$x\ \le-36$$  

• $$x\ \ge\ -36$$  

Multiple Choice

$$-30\ +\ \frac{x}{4}\ >\ -18$$  

• $$x\ <\ 48$$  

• $$x\ >48$$  

• $$x\ >\ -12$$  

• $$x\ <-12$$  

Multiple Choice

$$-6\ge\frac{x}{6\ }-\ 7$$  

• $$x\ \le6$$  

• $$x\ge6$$  

• $$x\ge-6$$  

• $$x\le-6$$  

1. DRAW YOUR RIVER

2. COVER​ THE VARIABLE

3. INVERSE (IF YOU SEE A PULS SIGN YOU SUBTRACT AND IF YOU SEE A MINUS SIGN YOU ADD)

4. INVERSE (IF YOU SEE MULTIPLICATION EX:3x OR -6a YOU DIVIDE BY THE NUMBER TOUCHING THE LETTER; IF IT IS NEGATIVE FLIP THE SIGN)

   (IF YOU SEE DIVISION x/3 or x+4/-5 YOU MULTIPLY BY THE NUMBER ON THE BOTTOM OF T​HE DIVISION SIGN, IF IT IS NEGATIVE YOU FLIP THE SIGN)

   ​

Subject | Subject

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