Unit 4 Study Guide
LL # 1 Pre-Game –
Solving Equations Vocabulary:
Variable - _______________________________________________________________
Coefficient - _____________________________________________________________
Reciprocal - ______________________________________________________________
________________________________________________________________________
Distributive Property - _____________________________________________________
________________________________________________________________________
________________________________________________________________________
Like Terms -______________________________________________________________
Combining Like Terms - ____________________________________________________
________________________________________________________________________
First Quarter - Simplifying Algebraic Expressions and Combining Like Terms:
• Group all the _________ with the same ________________ together.
• The _____________ must have the same exponent.
• No ____________? Place a ____ in front of it.
• Practice time… Simplify each expression!
2y + 3 - 6y 2. 2x - 3y + 4(2x + 3y)
Practice Time - Simplifying Algebraic Expressions and Combining Like Terms:
9d - d + 4d 2. 8 + 4s -16
3b + 9 + 4(b - 2)
Timeout - Simplifying Algebraic Expressions and Combining Like Terms:
Second Quarter - Solving One, Two-Step & Multi-Step Equations:
Reminder: UNDO order of operations by using inverse operations to isolate the variable and solve.
Solve for x: Solve for x: Solve for x: Solve for x:
x + 4 = 6 x – 2 = 8 4x = 12 ⅕x = 3 same as x/5 = 3
Check your answer: Check your answer: Check your answer: Check your answer:
Second Quarter - Solving One, Two-Step & Multi-Step Equations:
Now you Try! Solve for x: Check your answer:
5x = 2x + 6
Third Quarter - Solving Equations with Models:
We can use __________ to solve ______________!
3x + 2 = x - 6
Commercial Break - Practice!:
What is our equation?
Fourth Quarter - Let’s Step It Up!:
5x + 3(x + 4) = 28 - 13 = 5(1 + 4m) - 2m
Check your answer: Check your answer:
Post Game - Exit Ticket:
What is the solution to the equation 12 – x9 = 11?
LL # 2 Pre-Game –
Solve for x: Check your answer:
First Quarter - Solving Equations with Variables on Both Sides:
Reminder: UNDO order of operations by using inverse operations to isolate the variable and solve.
Solve for x: Check your answer:
2x - 7 = 9x + 56 2x - 7 = 9x + 56 2( ) - 7 = 9( ) + 56
Practice Time - Solving Equations with Variables on Both Sides:
Solve for x:
4x + 9 = -2x - 15 Check your answer: -2(4x +1) = 3(x +3) Check your answer:
Second Quarter - Linear Equations in Real-World Scenarios:
Game Time charges a $9.00 entrance fee and $0.25 per ticket to play the games. Fun World charges a $7.00 entrance fee and $0.65 per ticket to play games. How many tickets would you need to buy for the total cost at Game Time to be the same as Fun World?
Step 1: Identify the variable. Step 3: Solve the equation.
Step 2: Write the equation.
Step 4: Interpret the solution.
TIMEOUT: LINEAR EQUATIONS IN REAL-WORLD SCENARIOS
THIRD QUARTER: Linear Equations with One, Infinite and No Solutions
Sometimes, linear equations don’t just have one solution as their answer. Sometimes, they can have infinite or even no solution! Let’s look at some examples.
4x + 1 = 3x + 2 B) 4x + 1 = 4x + 2 C) 4x + 1 = 4x + 1
FOURTH QUARTER: LET’S PRACTICE!
Complete the equation so that it
has no solution.
2x + 4 = __x + 2
Unit 4 Study Guide
LL # 1 Pre-Game –
Solving Equations Vocabulary:
Variable - _______________________________________________________________
Coefficient - _____________________________________________________________
Reciprocal - ______________________________________________________________
________________________________________________________________________
Distributive Property - _____________________________________________________
________________________________________________________________________
________________________________________________________________________
Like Terms -______________________________________________________________
Combining Like Terms - ____________________________________________________
________________________________________________________________________
First Quarter - Simplifying Algebraic Expressions and Combining Like Terms:
• Group all the _________ with the same ________________ together.
• The _____________ must have the same exponent.
• No ____________? Place a ____ in front of it.
• Practice time… Simplify each expression!
2y + 3 - 6y 2. 2x - 3y + 4(2x + 3y)
Practice Time - Simplifying Algebraic Expressions and Combining Like Terms:
9d - d + 4d 2. 8 + 4s -16
3b + 9 + 4(b - 2)
Timeout - Simplifying Algebraic Expressions and Combining Like Terms:
Second Quarter - Solving One, Two-Step & Multi-Step Equations:
Reminder: UNDO order of operations by using inverse operations to isolate the variable and solve.
Solve for x: Solve for x: Solve for x: Solve for x:
x + 4 = 6 x – 2 = 8 4x = 12 ⅕x = 3 same as x/5 = 3
Check your answer: Check your answer: Check your answer: Check your answer:
Second Quarter - Solving One, Two-Step & Multi-Step Equations:
Now you Try! Solve for x: Check your answer:
5x = 2x + 6
Third Quarter - Solving Equations with Models:
We can use __________ to solve ______________!
3x + 2 = x - 6
Commercial Break - Practice!:
What is our equation?
Fourth Quarter - Let’s Step It Up!:
5x + 3(x + 4) = 28 - 13 = 5(1 + 4m) - 2m
Check your answer: Check your answer:
Post Game - Exit Ticket:
What is the solution to the equation 12 – x9 = 11?
LL # 2 Pre-Game –
Solve for x: Check your answer:
First Quarter - Solving Equations with Variables on Both Sides:
Reminder: UNDO order of operations by using inverse operations to isolate the variable and solve.
Solve for x: Check your answer:
2x - 7 = 9x + 56 2x - 7 = 9x + 56 2( ) - 7 = 9( ) + 56
Practice Time - Solving Equations with Variables on Both Sides:
Solve for x:
4x + 9 = -2x - 15 Check your answer: -2(4x +1) = 3(x +3) Check your answer:
Second Quarter - Linear Equations in Real-World Scenarios:
Game Time charges a $9.00 entrance fee and $0.25 per ticket to play the games. Fun World charges a $7.00 entrance fee and $0.65 per ticket to play games. How many tickets would you need to buy for the total cost at Game Time to be the same as Fun World?
Step 1: Identify the variable. Step 3: Solve the equation.
Step 2: Write the equation.
Step 4: Interpret the solution.
TIMEOUT: LINEAR EQUATIONS IN REAL-WORLD SCENARIOS
THIRD QUARTER: Linear Equations with One, Infinite and No Solutions
Sometimes, linear equations don’t just have one solution as their answer. Sometimes, they can have infinite or even no solution! Let’s look at some examples.
4x + 1 = 3x + 2 B) 4x + 1 = 4x + 2 C) 4x + 1 = 4x + 1
FOURTH QUARTER: LET’S PRACTICE!
Complete the equation so that it
has no solution.
2x + 4 = __x + 2
Post Game - Exit Ticket:
an ice skating rink has two ways you can use the facility. The first option is to pay $10 per visit. The second option is to pay $32 per month, and $6 per visit. Write and solve an equation to show the number of visits it would take for the cost of the two plans to be equal.
Post Game - Exit Ticket:
Check your answer:
The number of visits needed for the cost of both plans to be equal is 4 visits.
Check:
Option 1: 4 visits x $10 per visit = $40
Option 2: $32 (monthly fee) + 4 visits x $6 per visit = $56
Since $40 = $56, the cost is equal after 4 visits.