Solving Equations/Inequalities

When solving an equation, it is important to always... _____.

• undo multiplying with subtraction

• do an operation to ONLY one side

• do the same thing to BOTH sides of the equation

• put more things on the side with the variable

After solving an equation, how can you prove your solution is correct?

• Substitute the solution back into the original equation and show it makes a true statement.

• Redo the solving process and see if the same solution results.

• There is no way to prove that a solution is the correct one.

• Just say your solution is correct!

When solving inequalities, the only time we change the inequality sign is when _____

• there is a negative number on the right side of the inequality

• we write a new inequality after doing the same thing to both sides

• we multiply or divide by a negative number on both sides

• we multiply or divide both sides

When solving an equation, we undo the operations in what order?

• PEMDAS

• Reverse PEMDAS

• The simplest way

• Same order that we do calculations

• Place a open dot on 5 on the number line and draw an arrow to the left.

• Place a solid dot on 5 on the number line and draw an arrow to the left.

• Place a open dot on 5 on the number line and draw an arrow to the right.

• Place a solid dot on 5 on the number line and draw an arrow to the right.

Solve for x

46 + 7x = 95

• 7

• 2

• 342

• 49

Solve for x

6x = 54

• 324

• 60

• 48

• 9

Solve the following inequality:
-4x + 14 ≤ 54

• x ≥ -10

• x ≤ -10

• x ≥ 17

• x ≤ 17

What is the value of x in this equation?

2x + 2 = −52

• −25

• −27

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3