3-2 Part 1 Review: Solving Systems by Substitution

Presentation

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Mathematics

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8th - 11th Grade

•

Medium

•

CCSS

8.EE.C.8B, 8.EE.C.7A, HSA.REI.C.6

Standards-aligned

Kelly Gunneson

Used 15+ times

FREE Resource

7 Slides • 9 Questions

3-2 Part 1 Review: Solving Systems by Substitution

Foundatons of Algebra II 2021

Solve the following system:

$5x−4y=−3$
$y=-3x+5$

Multiple Choice

Solve the following system:

y=6x-11

-2x-3y=-7

$\left(2,\ 1\right)$

$\left(1,\ 3\right)$

$\left(2,\ 5\right)$

$\left(3,\ 2\right)$

Solve the following system:

$x=-3y-8$
$x-2y=-3$

Multiple Choice

x + 2y = 2

x = -4y + 2

(-3, 0)

(0, 2)

(-3, -2)

(2, 0)

Multiple Choice

When an equation results in something like 0=2, is this a true or false statement?

True Statement

False Statement

Multiple Choice

When a equation results in a false statement like 2=0, what is the solution?

No Solution

Infinitely Many Solutions

One Solution

Multiple Choice

When an equation results in something like 0=0, is this a true or false statement?

True Statement

False Statement

Multiple Choice

When a equation results in a true statement like 0=0, what is the solution?

No Solution

Infinitely Many Solutions

One Solution

Special Cases

If the systems results in a true statement, then there is infinitely many solutions
ex. 5=5
If the systems results in a false statement, then there is no solution
ex. 4=0

Examples

Infinitely Many Solutions Example: -4x+2y=-10 and y=2x-5
No Solution Example: 3x-3y=5 and x= -4+y

Multiple Choice

Solve the system of equations.

(-6, 1)

(-12, -12)

No solution

Infinitely many solutions

Multiple Choice

x = y + 1

x - y = 3

What is the solution?

(3,1)

(1,3)

No Solution

Infinitely Many Solutions

SAT Style Questions

Make sure you read the whole question!!!

Multiple Choice

3-2 Part 1 Review: Solving Systems by Substitution

Foundatons of Algebra II 2021

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