Algebra Power Review: Day 2

Tuesday Independent Practice | North Star Academy

Name: __________________________

Date: __________________________

8.2

Unit 8.2: Solving by Substitution

The Substitution Logic:

1. Find the "lonely variable" (like y = 3x).
2. Plug that value into the 'y' spot of the other equation.
3. Solve for the missing variable.

1. FOOD: Burgers (x) and Drinks (y) system.

y = 3x

The lonely y

x + y = 20

The plug-in case

The Substitution Move:

x + (

) = 20

Work Space: Solve for x

x = ________

2. MEDIA: Monthly App Shared Cost.

y = 5x + 2

y = 12

Plug-In Connection:

12 = 5x + 2

Solve for x (Show work):

x = ________

8.3

Unit 8.3: Solving by Elimination

Detective Rule: Add the equations vertically to DELETE (ELIMINATE) a variable that has opposite signs (+ and -).

3. SPORTS: The Equipment Bill Elimination.

2x + y = 10
3x - y = 5

5x + 0 = 15

The Solution Finisher:

"Divide by 5 on both sides to find the value of x!"

x = ________

4. FOOD: Solving for the Combo Order.

4x + 2y = 20
-4x + 3y = 5

0 + 5y = 25

Final Case Work Area (Solve for y):

y = ________

Tuesday Mastery Case Review

The Final Detective Verdict

ELIMINATION LOGIC:

"What happens to the Y when you add these two equations together?"

x + y = 10
x - y = 4

Y is Deleted (0)

X is Deleted (0)

SUBSTITUTION CHECK:

"If you know x = 5, find the value of y in the equation: y = 2x."

y = ________

TUESDAY POWER STAMP

Tuesday Algebra Power Review Worksheet

Tuesday Algebra Power Review Worksheet