equations review

Equations Review

​Constant
Coefficient
Variable
OPerations

Parts of an Expression

12x + 8 -3x + 5 6y - 9

Coefficient: Coefficient: Coefficient:

Constant: Constant: Constant:

Multiple Choice

The number before a variable is the _____.

• term
• constant
• coefficient
• variable

Multiple Choice

Determine the constant in the expression.

$$2x+5$$  

• 7

• 2

• x

• 5

Multiple Choice

What is the constant in the expression?

5x - 7

• 5

• 5x

• -7

• 7

Multiple Choice

What is the coefficient in the expression: 94a+2?

• 2
• 4
• 94
• 94a

Multiple Choice

Identify the constant in the expression
4y + 2 + x

• x
• y
• 4y
• 2

Multiple Choice

What is the coefficient of x?
8 + 5x - y

• 8
• 1
• 5
• -5

Multiple Choice

$$4g+10+7$$   What is the coefficient in this expression?

• 4, 10, 7

• 4g, 10, 7

• 4

• 4g

Multiple Choice

$$4g+10+7$$   What are the constants in this expression?

• 17

• 10

• 7

• 4

Multiple Choice

What is the coefficient in the equation below?

4x - 3 + 2x = 10

• 3

• 4

• 2

• 6

What does the word Solution mean?

Solving Equations

To solve an equation we use inverse operations
when we solve, we get a solution!

Steps:
1) Simplify the left side of the equation if needed (distribute and combine like terms)
2) Simplify the right side of the equation if needed (distribute and combine like terms)
3) Move the variable terms to ONE side of the equation.
4) Move the constants terms to the OTHER side of the equation.
5) Solve to find the solution.

Multiple Choice

4x + 7 = 23

• x = 16
• x = 4
• x = 9
• x = 12

Multiple Choice

2(3x+6)=24

• 9
• 2
• 1
• 3

Multiple Choice

2(x-4)=20

• 14
• 22
• 6
• 12

Multiple Choice

Solve the equation for x:
2x + 3x + 4 = 44

• x = 8
• x = 9
• x = 10
• x = 11

Multiple Choice

Solve the following equation

$$4\left(2x-3\right)+3x=32$$  

• x = 1.818

• x = - 4

• x = 4

• x = 2

Multiple Choice

• 4
• 2
• -2
• -4

Multiple Choice

2(x + 6) + 3 = 9 + 5x

• 16
• 2
• -8
• -10

Math Response

Solve:

½(4x-6)=⅓(9x+18)

Type answer here

Correct Answer: -9

Deg^°

Rad

One, None, or Infinite Solutions

One Solution - when you solve you will get x=#

No Solution - when you solve you will get a false statement, like 6=10

Infinite Solutions - when you solve you will get a true statemen, like 5=5

Multiple Choice

When you solve an equation you get 8=8. How many solutions does that equation have?

• One

• None

• Infinite

Multiple Choice

When you solve an equation you get x=4. How many solutions does that equation have?

• One

• None

• Infinite

Multiple Choice

When you solve an equation you get 5=3. How many solutions does that equation have?

• One

• None

• Infinite

Multiple Choice

6 + 9r = 9r + 6

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

4(x ‒ 5) = 4x ‒ 20

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

2(3g + 1) = 3g + 1 + 3g

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

8m ‒ 4 ‒ 2m = 3(2m ‒ 1)

• One Solution

• No Solution

• Infinite Solutions

Multiple Choice

–8 ‒ 4p = 5(p + 2)

• One Solution

• No Solution

• Infinite Solutions

What if we need to change something?

remember your word constant and coefficient...

2x - 8 = 10


What happens to the solution if you change the coefficient to 3?

Multiple Choice

If the coefficient in the equation is changed to a 5, what is the effect on the solution?

2x+10=40

• The solution will stay the same.

• The solution will be smaller.

• The solution will be larger.

• There will be no solution.

Multiple Choice

IF the coefficient in the equation is changed to 2, how will the solution be effected?

10x - 20 = 30

• The solution will stay the same

• The solution will be larger.

• The solution will be smaller

• There will be infinite solutions.

Constant Term
ONE time fee

Variable Term

Key words: per, each, every

Equation word problems

Multiple Choice

You decide to rent a bike for $25 plus $3.00 per hour.  If you spent a total of $40.00, how many hours did you rent the bike?

• 1 hour
• 4 hours
• 2 hours
• 5 hours

Multiple Choice

At Gamestop you can buy a Xbox One for $150.00 and each game to go with it would cost $24.00. Or, you can buy a Playstation 4 for $180.00 and each game for $20.00. Write an equation to determine how many games would need to be purchased for the cost to be equal? 

• 150x + 24 = 180 + 20x
• 150 + 24x = 180 + 20x
• 180 - 150 = 24 x + 20x
• 150 - 24x = 180 - 20x