Lecture 2.1 2.4 Writing & Solving Equations

Lecture 2.1-2.4 - Writing & Solving Equations

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Mathematics

•

6th - 12th Grade

•

Easy

Gabe Geering

Used 7+ times

FREE Resource

5 Slides • 33 Questions

2.1-2.4 - Writing & Solving Equations

This a lecture, take notes.

Hey. It's me, Mr. Geering. The lecture you are about to partake in is a replacement for my absence. Treat as if I was there meaning be quiet, respectful, and take notes for the examples. Because this is based in Quizizz, it is very easy to click through it. Don't. Take your time and learn the material.

Let's get this bread

Multiple Choice

Which of the following key words mean EQUALS TO

Product

Quotient

Difference

Multiple Choice

Translate the following equation:

The product of 15 and a number is 45

15 + x = 45

15x = 45

15 - x = 45

$\frac{15}{x}=\ 45$

Multiple Choice

Translate the following equation:

h + 30 = 60

Thirty decrease by a number is 60

The product of 30 and a number equals 60

A number increased by 30 is equivalent to 60

The quotient of a number and 30 is 60

Multiple Choice

Translate the following equation:

$\frac{25}{s}=\ 5$

The quotient of 25 and a number is equal to 5

The product of 25 and a number is equal to 5

Twenty-five decreased by a number is 5

A number divided by 25 is 5

Multiple Choice

Translate the following equation:

Thirty decreased by a number is 12

30 + x = 12

x - 30 = 12

30x = 12

30 - x = 12

Multiple Choice

Translate this sentence into an equation.

Twice the sum of a number and 3 is 20.

Use the variable x to represent the number.

$2x+3=20$

$2x+3-10$

$3\left(x+2\right)=20$

$2\left(x+3\right)=20$

Multiple Choice

Translate this phrase into an algebraic equation:

A number tripled subtracted from 60 is the same as 21.

3c − 60 = 21

60 − 3 = 21c

60 − 3c = 21

c(60 − 3) = 21

Multiple Choice

Translate this phrase into an algebraic equation:

Six fewer than twice a number is four.

6 - 2x = 4

2x - 6 = 4

x² - 6 = 4

6 - x² = 4

Audio Response

Translate the equation into a sentence:

$6z-15=45$

Open Audio Recorder

Audio Response

Translate the equation into a sentence:

$x^2+3x=10$

Open Audio Recorder

Properties of Equality

"Whatever you do on one side, you have to do on the other side" - Mr. Geering nasally voice

Remember additive and multiplicative inverses? That's what you're doing.

Addition
Subtraction
Multiplication
Division

Reorder

To solve the equation $\frac{\left(5x-3\right)}{4}+2=12$ reorder the following

Subtract 2 from both sides

Multiply both sides by 4

Add 3 to both sides

Divide both sides by 5

Reorder

To solve the equation $4\left(\frac{x}{2}+3\right)+7=43$ reorder the following

Subtract 7 from both sides

Divide both sides by 4

Subtract 3 from both sides

Multiply both sides by 2

Reorder

To solve the equation $\frac{4\left(10+x\right)-5}{7}=42$ reorder the following

Multiply both sides by 7

Add 5 to both sides

Divide both sides by 4

Subtract 10 from both sides

Reorder

To solve the equation $\frac{\left(5x-8\right)}{3}=4$ reorder the following

Multiply both sides by 3

Add 8 to both sides

Divide both sides by 5

Reorder

To solve the equation $\frac{\left(3-\frac{x}{2}\right)}{5}-4=12$ reorder the following

Add 4 to both sides

Multiply both sides by 5

Subtract 3 from both sides

Multiply both sides by -2

Reorder

To solve the equation $\frac{\left(12-3x\right)}{7}=4$ reorder the following

Divide both sides by -3

Subtract 12 from both sides

Multiply both sides by 7

Multiple Choice

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 8 = 3(x - 4) + 1

one

no solutions

infinite solutions

Multiple Choice

Simplify each equation. Tell whether the equation has one, no, or infinite solutions.
3x - 7 = 3(x - 3) + 2

one

no solutions

infinite solutions

Multiple Choice

Identify the number of solutions the equation has.
4x + 5 = 2(2x +3)

one solution

no solution

infinitely many solutions

two solutions

Multiple Choice

Determine the type of solution you will have if you get
4=4

one solution

infinite solution=identity

no solution

I don't know. I need to study.

Multiple Choice

-4(3x + 2) = 3(-4x + 5)

No Solution

One Solution

Infinite Solution

Multiple Choice

-5(2x - 4) = 2(10 - 5x)

No Solution

One Solution

Infinite Solution

Multiple Choice

What is the LCM of 2, 4, and 6?

Multiple Choice

What is the LCM of 2, 4, and 9?

Multiple Choice

What is the LCM of 4 and 10?

Multiple Choice

What is the LCM of 6 and 9?

Fill in the Blanks

Type answer...

Fill in the Blanks

Type answer...

Multiple Choice

Find the value of 'x'

$\frac{3x-2}{3}=\frac{x-1}{3}$

$\frac{1}{3}$

$\frac{1}{2}$

$-\frac{1}{2}$

Multiple Choice

Find the value of 'x'

$\frac{3x}{2}+\frac{x-2}{3}=3$

$\frac{3}{2}$

Multiple Choice

Find the value of 'a'

$\frac{3}{1-a}-\frac{2}{a-1}=0$

-4

Multiple Choice

Find the value of 'a'

$\frac{a}{3}+\frac{a-3}{6}=\left(a-2\right)$

Multiple Choice

Find the value of 'x'

$\frac{x+3}{6}+\frac{x}{2}=\frac{3-x}{3}$

$\frac{1}{2}$

$\frac{1}{3}$

2.1-2.4 - Writing & Solving Equations

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