Solving Equation and Inequalities Using Desmos

Presentation

•

Mathematics

•

11th Grade

•

Medium

•

CCSS

HSA.REI.B.3, HSA.CED.A.1, HSA-REI.B.4B

Standards-aligned

Bethel Naig

Used 6+ times

FREE Resource

4 Slides • 10 Questions

Solving Equations or Inequalities using Desmos

I am learning how to solve equations or inequalities using desmos.

Given, |x+2| = 10. Solve for x.

Seperate the two sides of the equation into two different equations. Use "y =" in front of each equation
Graph on desmos as two different lines.
Find where the point or points where the two lines cross each other.
Use the x-value to answer your question.

YOU DO:

You are to completing the coloring sheet either by hand or using demos.
Question: "Do I have to color?"
Answer: Yes.

Multiple Select

Solve. Select BOTH solutions.

$\left|x-1\right|=3$

-2

-3

Multiple Choice

$9+2\left|4x-2\right|=10$

$\frac{3}{8},\ -\frac{5}{8}$

$-\frac{3}{8},\frac{5}{8}$

$1$

$\frac{3}{8},\frac{5}{8}$

Multiple Choice

Solve: $20x=5x^2+20$

$x=0$ and $x=2$

$x=-2$

$x=2$

$x=2$ and $x=-2$

Multiple Choice

Solve for the x-values.

x = √9 and x = -√9

x = 3 and x = -3

x = 1 and x = -1

No real solution

Multiple Choice

Solve the absolute value equation:

$-10+\left|2x+9\right|=-10$

$x=\left\{-\frac{9}{2}\right\}$

$x=\left\{0\right\}$

$x=\left\{\frac{11}{2},\ -\frac{29}{2}\right\}$

$no\ solution$

Given, |x+2| > 10. Solve for x.

Seperate the two sides of the equation into two different equations. Use "y =" in front of each equation
Graph on desmos as two different lines.
Find where the point or points where the two lines cross each other.
Use the x-value to answer your question.
Determine if its a conjunction or disjunction.

Multiple Choice

Solve.

-1 < x < 3

-1 < x or x < 3

-1 < x

x < 3

Multiple Choice

Solve.

no solution

-6 ≤ r ≥ 8

6 > r > -8

-6 < r < 8

Multiple Choice

Solve: 5x - 10x² < 0

(0, ½)

[0, ½]

(−∞, 0) U (½, ∞)

(- ½ , 0)

Multiple Choice

Solve

$x^2-3x-10\le0$

$x\le-5\ or\ x\ge2$

$-5\le x\le2$

$x\le-2\ or\ x\ge5$

$-2\le x\le5$

Multiple Choice

Solve:

2x² + 5x ≥ 12 , then find the interval notation of the inequality.

[-4, 1.5]

(−∞, -4) U (1.5, ∞)

(−∞, -4] U [1.5, ∞)

no solution

Solving Equations or Inequalities using Desmos

I am learning how to solve equations or inequalities using desmos.

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