Semester Review - Systems of Linear Equations & Inequalities

Presentation

•

Mathematics

•

9th - 12th Grade

•

Hard

•

CCSS

HSA.REI.C.9

Standards-aligned

Jeremy Moore

FREE Resource

5 Slides • 3 Questions

Semester Review

Systems of Linear Equations & Inequalities

Methods for solving systems of equations

1. Substitution

2. Graphing

3. Elimination

4. Matrix

1. Substitution

Step 1: rearrange one equation to solve for the variable of your choice

Step 2: substitute into the other equation, find value for that variable

Step 3: substitute value back into first equation, find value for second variable

Step 4: repeat as necessary

Multiple Choice

What is the solution for the following system?

$-2x+y=1$

3x+y=-4

$x=-1$ , $y=-1$

$x=1$ , $y=1$

$x=-1$ , $y=1$

$x=1$ , $y=-1$

Remember: Solutions to the system can also be written in (x, y) format

This the intersecting point of the system's graph

Multiple Choice

For the system we just solved, what is the solution in (x, y) format?

$-2x+y=1$

3x+y=-4

(-1, 1)

(1, 1)

(-1, 1)

(1, -1)

1. Substitution (continued)

For solving 3x3 systems of equations...

Use the cascade approach:

solve the shortest/simplest equation first, then work your way up to the longest/hardest equation last.

Multiple Choice

What is the solution to the following 3x3 system?

hint: answer is given in (x, y, z) format

$x+3y+z=-3$

x+y=-2

4x-2y=16

(6, 4, -21)

(2, -4, 7)

(6, -8, 15)

(2, -4, -13)

Semester Review

Systems of Linear Equations & Inequalities

Show answer

Auto Play

Slide 1 / 8

SLIDE

Similar Resources on Wayground

7 questions

Solving by Completing the Square Part I

Presentation

•

9th - 12th Grade

2 questions

Bell Ringer

Presentation

•

9th - 12th Grade

6 questions

Law of Detachment Prequiz

Presentation

•

9th - 12th Grade

10 questions

Writing Equations for Exponential Functions

Presentation

•

9th - 12th Grade

10 questions

Function Notation Lesson

Presentation

•

9th - 12th Grade

7 questions

Rationalizing the denominator

Presentation

•

9th - 12th Grade

6 questions

Sorting and Counting

Presentation

•

6 questions

PA-U1.6 Lesson: Adding Integers

Presentation

•

9th - 12th Grade

Popular Resources on Wayground

10 questions

Safety Day 2026 – Student Review

Quiz

•

9th Grade

21 questions

Continents and Oceans

Quiz

•

6th Grade

20 questions

Parts of Speech

Quiz

•

5th Grade

16 questions

Subject & Predicate

Quiz

•

5th Grade

25 questions

Multiplication Facts

Quiz

•

5th Grade

12 questions

Map Skills

Quiz

•

3rd Grade

22 questions

Continents and Oceans

Quiz

•

5th Grade

15 questions

Rounding Decimals

Quiz

•

5th Grade

Discover more resources for Mathematics

12 questions

Absolute Value Equations

Quiz

•

9th Grade

20 questions

Function or Not a Function

Quiz

•

8th - 9th Grade

11 questions

Slope from 2 points

Quiz

•

8th - 9th Grade

10 questions

Exploring the Basics of Exponents

Interactive video

•

6th - 10th Grade

10 questions

Solving Absolute Value Equations

Quiz

•

9th Grade

20 questions

Unit 5 Test RSC (25-26)

Quiz

•

10th Grade

18 questions

SB 12.2 Write in point slope form

Quiz

•

9th Grade

12 questions

Identify Rigid Transformations

Quiz

•

8th - 12th Grade