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Equivalent Equations Equivalent Equations

Equivalent Equations - PowerPoint Presentation

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Uploaded On 2016-08-11

Equivalent Equations - PPT Presentation

Solving Algebraic Equations RealWorld Equations RealWorld Inequalities Solving Algebraic Inequalities 200 400 600 800 200 4 00 6 00 8 00 200 4 00 6 00 8 00 200 4 00 6 00 8 ID: 441908

equations solve 400 200 solve equations 200 400 600 800 equation inequality write equivalent club uniforms point weekday show

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Presentation Transcript

Slide1

Equivalent Equations

Solving Algebraic Equations

Real-World Equations

Real-World Inequalities

Solving Algebraic Inequalities

200

400

600

800

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400

600

800

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400

600

800

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400

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800

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400

600

800

ANSWERSSlide2

200

Are the following equations equivalent?

2x – 3 = 5 and x = 4

BackSlide3

400

Back

Are the following equations equivalent?

2x + 9 = 7 and 2x = 2Slide4

600

Back

Are the following equations equivalent?

5x – 4 + 3x = 8 and 8x = 12Slide5

800

Back

Are the following equations equivalent?

and

 Slide6

200

Back

Solve the equation:

7c – 11 = 17Slide7

400

Back

Solve the equation:

1.5d + 3.2 = 9.2Slide8

600

Back

Solve the equation:

8h – 5 = 11h – 14Slide9

800

Back

Solve the equation:

3(6 – 4x) – 27x = 10x – 31Slide10

200

Back

Write and solve an equation:

Ella plans to buy a laptop for $1,345 in 12 weeks. She has already saved $145. How much should she save each week so she can buy the laptop?Slide11

400

Back

Write and solve an equation:

Two identical isosceles triangles each have a base of 50 ft

and the other two sides are x ft long. If the combined perimeter of both triangles is 242, find the value of

x.Slide12

6

00

Back

Write and solve an equation:A plant grows at a rate of 4.5 cm per week. It is now 12 cm tall. If the plant continues to grow at the same rate, in how many weeks will it reach a height of 48 cm?Slide13

800

Back

Write and solve an equation:

The cost of seeing a weekday show is 2/3 the cost of a weekend show. In one month, Andy spent $42.50 for 4 weekday shows and 3 weekend shows. Find the price of a weekday show and a weekend show.Slide14

200

Back

Solve and graph the inequality:

2 > x – 12Slide15

400

Back

Solve and graph the inequality:

8 – 4x > 12 – 3xSlide16

600

Back

Solve and graph the inequality:

1.7x + 5 < 16 + 0.7xSlide17

800

Back

Solve and graph the inequality:

 Slide18

200

Back

Write and solve an inequality:

The average of 87, 90, 89 and a fourth number is at least 90. Describe the value of the fourth numberSlide19

400

Back

Write and solve an inequality:

Charlie wants to join a golf club. Club A offers $80 for a new membership fee plus $45 per month. Club B offers $110 for a new membership fee plus $30 per month. After how many months will Club B be less expensive than Club A?Slide20

600

Back

Write and solve an inequality:

Party favors are on sale for $2.40 each. You have $380 to spend on the decorations and gifts, and you have already spent $270 on decorations. How many party favors can you buy?Slide21

800

Back

Write and solve an inequality:

The coach of a hockey team can spend at most $475 on new team uniforms. He will order the uniforms online and pay a mailing cost of $6.50. If each uniform costs $29, how many uniforms can he order?Slide22

ANSWERS

Equivalent EquationsSolving Algebraic Equations

Real-World EquationsSolving Algebraic InequalitiesReal-world inequalitiesYES

C = 4$100 per weekX < 14Open point, to left

Atleast 94NOD = 435.5 feet

X < -4Open point, to leftAfter 2 monthsYESH = 3

8 weeksX < 11Open point, to leftAt most 45 favorsYES

X = 1Weekday: $5Weekend: $7.50X ≥ 7, closed point, to rightAt most 16 uniforms