Solving linear equations

Solving linear equations

These are the notes we will be doing in class. You will be responsible for the questions at the end of this lesson. You may copy all of the notes into your note packet.

Inequalities

• You should have the notes copied. Use those to answer the following questions.

Multiple Choice

Solve:

3x + 2 < -7 or -4x + 5 < 1

• All real numbers

• x < -3 and x > 1

• x < -3 or x < 1

• x < -3 or x > 1

Multiple Choice

Solve and give the final solution set:

-4x + 1 ≤ 21 and 5x + 2 < 22

• All real numbers

• x ≥ -5 or x < 4

• No Solution

• x ≥ -5 and x < 4

Multiple Choice

What inequality is graphed?

• x > 2 and x < 4

• 2 ≤ x ≤ 4

• x > 2 or x < 4

• x ≥ 2 or x ≤ 4

Multiple Choice

What inequality is graphed? 

• x > 2 and x ≤ -3
• x > 2 and x < -3
• x > 2 or x ≤ -3
• x > 2 or x < -3

Multiple Choice

Solve:
6x+10>5x-12

• x>2
• x<2
• x<-22
• x>-22

Multiple Choice

Solve:
3(y+5)≥21

• y≤2
• y≥2
• y≥12
• y≤12

Multiple Choice

-3x ≤ 18

• x ≤ -6

• x ≤ 6

• x ≥ 6

• x ≥ -6

Multiple Choice

When do you "flip the inequalities sign"?

• When you add or subtract a negative

• When it's a 1-step problem

• When you multiply or divide a negative

• When it's a 2-step problem

Multiple Choice

28 > m - 4

• m < 32
• m > 32
• m < 24
• m > 24

Multiple Choice

25 < X - 10

• X > 35
• X < 35
• X > -35
• X < -35

Multiple Choice

10 ≥ x - 3

• x ≤ 13
• x ≥ 13
• x ≤ 7
• x ≥ 7

Multiple Choice

Solve the inequality.
x + 5 ≤ 13

• x ≥ 8
• x ≥ 18
• x ≤ 8 
• x ≤ 18 

Multiple Choice

Pick the correct inequality.

• A
• B
• C
• D

Multiple Choice

Solve the n.

The sum of 3 and the product of a number and 6 is 39.

• x = 6

• x = 8

• x = 18

• x = 12

Multiple Choice

Solve for k.

35 = 3(11+13k)

• k = 2/13

• k = 13/2

• k = -2/13

• k = 68/13

Multiple Choice

Solve for x.

5x + 17 = 32

• x = 12

• x = 3

• x = -20

• x = 10

Multiple Choice

Solve for x.

3(2x - 7) = 15

• x = -6

• x = 11/3

• x = 6

• x = 10

Multiple Choice

5(2x - 7) = 80

• x = 11.5
• x = 115
• x = 12
• x = 16

Multiple Choice

Solve the following equation,
3x + 6 = 21

• x = 9
• x = 5
• x = 15
• x = 27

Multiple Choice

Solve the following equation,
x + 7 = 28

• x = 35
• x = 4
• x = 196
• x = 21

Multiple Choice

• -19

• 19

• 8

• -8

Multiple Choice

• 5

• -5

• 11

• -11

Multiple Choice

• -9

• 9

• -4

• 4

Multiple Choice

• 1

• -1

• 4

• -4

Multiple Choice

• 11/4

• 22/8

• 14

• 11

Multiple Choice

• -6

• 6

• 12

• 0

Multiple Choice

What is the first step to solve this equation?
3x + 6 = 10 + 3x + 4x 

• Add 4x to both sides of the equation

• Combine like terms 3x and 4x on the same side of the equation

• Add 3x and 6 to get 9x

• Add 6 and 10 to get 16

Multiple Choice

What is the first step to solve this equation?
x - 5 = 7 - 2x

• Add 7 to both sides of the equation

• Add 2x to both sides of the equation

• Subtract 2x from both sides of the equation

• Subtract 5 from both sides of the equation

Multiple Choice

 $Solve\ for\ y$  

 $3y\ -\ 6\ =\ 30\$  

•  $y\ =\ 8$  

•  $y\ =\ 12$  

•  $y\ =\ 16$  

•  $y\ =\ 4$