Solving Systems of Equations

Presentation

•

Mathematics

•

10th Grade

•

Practice Problem

•

Medium

•

CCSS

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

Standards-aligned

Sara Whorton

Used 25+ times

FREE Resource

5 Slides • 21 Questions

Solving Systems of Equations

Graphing, Substitution, and Elimination

vocabulary

consistent - at least one solution
inconsistent - no solution
independent - one solution
dependent - infinitely many solutions

Multiple Choice

This is an example of a system of linear equations that are

consistent and independent

consistent

inconsistent and dependent

consistent and dependent

Multiple Choice

This is an example of a system of linear equations that are

consistent and independent

inconsistent

inconsistent and independent

inconsistent and dependent

Multiple Choice

This is an example of a system of linear equations that are

consistent and independent

inconsistent

inconsistent and independent

consistent and dependent

Multiple Choice

A consistent system that has exactly one solution

inconsistent

consistent

dependent

independent

Multiple Choice

A consistent system that has infinitely many solutions is

dependent

consistent

independent

inconsistent

Multiple Choice

Inconsistent system is a system of equations that has

one solution

two solutions

infinitely many solutions.

has no solution

Multiple Choice

A system of equations that has a least one solution is

Consistent

inconsistent

dependent

independent

Solving Systems of Equations by Graphing

Make sure both equations are in slope intercept form
Graph both equations on the coordinate plane
Find the point of intersection

Multiple Choice

What is the solution to a systems of equations?

The point or points where they intersect

What the lines have in common

Either a single point, infinite number of points or no points

ALL OF THE ABOVE

Multiple Choice

If a system of equations has no solution, what does the graph look like?

intersecting lines

parallel lines

skew lines

intersecting lines

Multiple Choice

The solution to this system of equations is:

(4, 3)

(3, 4)

(-4, 3)

No solution

Multiple Choice

These two lines intersect at _____.

(4, -2)

(4, 2)

(-2, 4)

No solution

Multiple Choice

7x + y = -20
y = 3x + 10

(-3, 1)

(-1, -3)

(-3,-7)

(-1,7)

Multiple Choice

x + 2y = 2
x = -4y + 2

(-3, 0)

(0, 2)

(-3, -2)

(2, 0)

Multiple Choice

Solve this system of equations.
y = 2x + 1
y = 4x - 1

(1,3)

(-1,-3)

(-1,3)

(3,1)

Multiple Choice

Solve the system by substitution.

5x + 4y= −14
y = −7x − 15

(-2, -1)

(1, -2)

(-2, 1)

(-1, -2)

Multiple Choice

y = -2x + 18
y = 8

(5, 8)

(-5, 8)

(2, 8)

(-2, 8)

Multiple Choice

Solve by elimination:
3x + 7y = 23
-3x - 7y = -17

No solution

Infinite number of solutions

(-3,3)

(3,3)

Multiple Choice

Solve by elimination:
4x + 4y = 4
3x + 4y =10

(7,-6)

(-6,7)

(6,7)

(7,6)

Multiple Choice

Solve by elimination
2x + 9y = -7
6x - 3y = 9

(-1, -1)

(2,-1)

(1,1)

(1,-1)

Multiple Choice

Solve using elimination.
7x + 2y = 24
8x + 2y = 30

(6,-9)

(-9,6)

No solution

Infinite number of solutions

Multiple Choice

Solve using Elimination.
4x + 8y = 20
-4x + 2y = -30

(-7,1)

(2,-5)

(-2,5)

(7,-1)

Solving Systems of Equations

Graphing, Substitution, and Elimination

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