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4.3 Adding and Subtracting Equations

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The Main Goal:

Isolate the variable

Solve using Inverse operations.

• Operations that undo each other

• The inverse of addition is...

• Subtraction

• The inverse of subtraction is....

• Addition

Multiple Choice

24+m=49

• 25

• 73

Multiple Choice

12=y-11

• 1

• 23

Multiple Choice

22=13+a

• 9

• 35

Multiple Choice

t-40=3

• 37

• 43

Multiple Choice

What is the value of d?

• 9

• 93

Multiple Choice

The outside temperature dropped 20°F from the time Arianna ate breakfast until the time she ate dinner. When she ate dinner, the temperature was 35°F. Which of the following equations represents the situation?

• t-20=35

• t+20=35

• 20-t=35

• 20+t=35

Multiple Choice

What was the actual temperature outside at dinner time?

(Hint: solve t-20=35)

• 5°F

• 15°F

• 55°F

• 60°F

Multiple Choice

Solve

k - 6 = 3

• 9

• -3

• 18

• $$\frac{1}{2}$$

Multiple Choice

Solve:

r - 2 = 5

• 10

• 3

• 7

• -4

Multiple Choice

Write an equation models the following statement:
 17 less than h equals 42

• 17-h=42
• h-17=42
• h+17=42
• 17+h=42

Multiple Choice

What step can be taken to get the x by itself on one side in the equation x + 18 = 50 ?

• Multiply both sides of the equation by 18

• Divide both sides of the equation by 18

• Add 18 to both sides of the equation

• Subtract 18 from both sides of the equation.

Multiple Choice

What inverse operation would you use to solve this problem?
 g - 57 = 113

• subtract
• add

Multiple Choice

What is the main task when evaluating equations?

• to cancel numbers
• to isolate the variable

Multiple Choice

x - 32 = 49

• x = 17
• x = 71
• x = 81
• x = 49

Multiple Choice

What is the main task when evaluating equations?

• to cancel numbers
• to isolate the variable

Multiple Choice

s + 42 = 75

• 33
• 117
• 36
• 43

Multiple Choice

What does inverse mean?

• The same
• The opposite

Multiple Choice

What step can be taken to get the x by itself on one side in the equation x + 18 = 50 ?

• Multiply both sides of the equation by 18

• Divide both sides of the equation by 18

• Add 18 to both sides of the equation

• Subtract 18 from both sides of the equation.

Multiple Choice

What is the main task when evaluating equations?

• to add numbers

• to get the variable by itself

Multiple Choice

What inverse operation would you use to solve this problem?
 g - 57 = 113

• subtract
• add

Multiple Choice

What does inverse mean?

• The same
• The opposite

Multiple Choice

5 + a = 37

• a = 37/5
• a = 42
• a = 185
• a = 32

Multiple Choice

3+x=5

• 1

• 2

• 3

• 0