Algebra 1 Step

Algebra 1 Solving Equations Test

Review

Multiple Choice

What is the opposite operation of Addition?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the opposite operation of Subtraction?

• Addition

• Subtraction

• Division

• Multiplication

Multiple Choice

What is the opposite operation of Multiplication?

• Addition

• Subtraction

• Multiplication

• Division

Multiple Choice

What is the opposite operation of Division?

• Addition

• Subtraction

• Multiplication

• Division

Solve the equation:

-19x = -95

Solve the equation:

 $-2\ =\ \frac{x}{17}$  

Solve the equation:

19 = x + 8

Solve the equation:

x - 14 = -34

Steps for solving 2 step equations:

• Undo the addition or subtraction

• Undo the multiplication or division

Multiple Choice

-15 = -3x - 6

• 12

• -14

• 3

• 6

Multiple Choice

-32 = -5x - 2

• 12

• 14

• 3

• 6

Multiple Choice

$$-2\ =\ -6\ +\ \frac{x}{3}$$  

• 12

• -14

• 3

• 6

Multiple Choice

$$\frac{x}{14}\ -\ 4\ =\ -5$$  

• 12

• -14

• 3

• 6

Solving Multi-Step Equations

• Distributive Property

• Like Terms on the same side

• Like Terms on opposite sides

• Undo Addition or Subtraction

• Undo Multiplication of Division

Multiple Choice

What is the 1st step to solving the problem?

$$2\ +\ n-\ 8\ +\ 7n\ =\ 7n\ +\ 4n$$  

• Subtract 7n

• Add 8

• Combine all like terms on the same side of the equation

Multiple Choice

• Add 6

• Add 11n

• Subtract 8n

Multiple Choice

• Divide by 3

• Add 6

• Multiply by 3

Multiple Choice

• 0

• 3

• -2

Multiple Choice

What is the 1st step to solve the problem?

$$17\ +\ 2n\ =\ -6\left(n\ -\ 4\right)\ +\ 7n$$  

• Add 6

• Subtract 17

• Distribute -6

• Subtract 7n

Multiple Choice

• Subtract 7n

• Add 24

• Subtract 17

• Combine like terms on the same side of the equation

Multiple Choice

• Combine Like Terms on opposite sides of the equation

• Add 24

• Subtract 17

Multiple Choice

• Multiply by 17

• Add 24

• Subtract 17

Multiple Choice

• -2

• 7

• 0

Special Cases

• All real numbers - when both sides of the equation are identical

• No Solution - when the answer doesn't make sense. Ex: 0 = 6 or -4 = 8

Multiple Choice

What type of answer would the following equation have?

$$11\ +\ 2b\ =\ 5\ +\ 2b$$  

• Negative

• Positive

• All Real Numbers

• No Solution

Multiple Choice

What type of answer would the following equation have?

$$-31\ -\ 2n\ =\ 7\left(-5n\ +\ 5\right)$$  

• Negative

• Positive

• All real numbers

• No solution

Multiple Choice

What type of answer would the following equation have?

$$2\left(5\ +\ 8m\right)\ +\ 7\ =\ 8m\ -\ 7$$  

• Negative

• Positive

• All real numbers

• No solution

Multiple Choice

What type of answer would the following equation have?

$$4\ +\ 2\ -\ 6p\ +\ 8p\ =\ 2p\ +\ 6$$  

• Negative

• Positive

• All real numbers

• No solution