Introduction to Equation

Introduction to Equations

Step 1: Review of Inverse Operations

Addition and Subtraction are Inverse Operations

Multiplication and Division are Inverse Operations

Inverse Operations

• Addition is the opposite or inverse of subtraction.

• Subtraction is the opposite or inverse of addition.

• When working with equations we can solve for a given variable by using inverse or opposite math operations of numbers to get the variable alone..

Inverse Operations

• Multiplication is the opposite or inverse of division.

• Division is the opposite or inverse of multiplication.

• When working with equations we can solve for a given variable by using inverse or opposite math operations of numbers to get the variable alone..

Multiple Choice

$$13-7=6$$  

What is the inverse operation of 13 - 7 = 6

• 13 - 6 = 7

• 6 + 7 = 13

• 13 + 7 = 20

Multiple Choice

If  $$5+2=7$$    then the inverse operation is:

• 7 + 2 = 9

• 7 - 2 = 5

• 2 + 5 = 7

Multiple Choice

If  $$30\div5=6$$   then the inverse operation is:

• $$6\times5=30$$  

• $$30\div6=5$$  

• $$30-5=25$$  

Multiple Choice

If  $$7\times5=35$$   then the inverse operation is:

• $$5+7=12$$  

• $$5\times7=35$$  
  

• $$35\div5=7$$   

Multiple Choice

What is the equation for the following scenarios?

$$The\ sum\ of\ x\ and\ 5\ is\ 22.$$   

•   $$22+5=x$$  

•   $$x+5=22$$  

• $$x+22=5$$   

• $$5x=22$$   

Multiple Choice

$$The\ number\ of\ cards\ in\ a\ deck\ in\ x.\ In\ 7\ decks\ there\ are\ 91\ cards.\$$   

•   $$7x=91$$  

•   $$x=\frac{7}{91}$$  

• $$7+x=91$$   

• $$91\times7=x$$   

Multiple Choice

Priya's age is currently j years. In 5 years' time her age will equal 17.  

•    $$j\div5=17$$  

•    $$17=5j$$  

•    $$j=17+5$$  

•    $$j+5=17$$  

Multiple Select

Any number that satisfies an equation is called a

• Solution

• Root

• Answer

• Element

Multiple Choice

To Solve the Equation Below, you would?
x - 62 = 123

• add 62 to each side
• subtract 62 from each side
• multiply each side by 62
• Add 123 to each side

Multiple Choice

What is the correct step to solve for the variable?
15 = m - 5

• add 15 to both sides
• add 5 to both sides
• subtract 15 from both sides
• subtract 5 from both sides

Multiple Choice

Find the value of the missing number which would make the following equation true.

$$\ ?\times7=35$$  

•     5

•      6

•     7

•     8

Multiple Choice

x + 5= 8

x = _______

• x=2
• x=3
• x=4
• x=5

Multiple Choice

Solve.

n-2=7

n= _____

• n=7
• n=8
• n=9
• n=10

Multiple Choice

how would you solve this equation: 9x=153?

• multiply by 9 on both sides

• divide by 9 on both sides

• add 9 to both sides

• subtract 9 from both sides

Multiple Choice

Solve.

3g = 12

g = ______

• g=1
• g=2
• g=3
• g=4

Multiple Choice

x ÷ 2 = 12

• x = 24
• x = 6
• x = 20
• x = 10