Multistep Equations and Multistep Inequalities

multistep equations

solve & graphing
multistep inequalities

miscellaneous questions

combination of multistep equations and multistep inequalities

WHAT????

100

6a+5a=-11

What is a=-1

100

The product of a number and 8 is at least 104.

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2x-5 >7

D. 8𝑥 ≥ 104

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Show graph for: X>6

100

48 + 8(9) -6

What is 114

100

-6(2a-6)=4(-6a+18)

What is a=3

100

How are the graphs of y = 2x+1 and y = -2x+1 similar and different?

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Graph it:

2x > 4

Same Y- Intercept (crosses the graph); different slope (rate of change)

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(Teacher checks it)

200

r+11+8r=29

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1x + 11 + 8x = 29

What is r=2

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What is x = 2

200

Solve for x: −3 < 6+𝑥 4

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2x-5<1

A. 𝑥 > −18

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Show graph for: x<3

200

8x-2=-9+7x

What is x=-7

200

4 (y+5) + 20 = 12y - 8

Y = 6

200

Name this equation:

Y_{2 -} Y₁

_{_______ = M}

X ₂- X₁

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Graph it: x + 4 < 9

Equation for Slope

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(Teacher checks work)

300

30=-5(6n+6)

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-5x(6x+6)= 30

What is n=-2

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What is X = -2

300

You are paid $60 per week plus $5 per sale. At least how many sales do you need to make in order to earn over $350? Write an equation

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-2(x+3)<10

C. 60 + 5𝑥 > 350

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Show graph for: x>-8

300

solve the system using any method 4x+3y=-6 3x-2y=4

What is y=-2 x=0

300

2x-5 >7

What is 2x-5 >7

300

Solve for X

_{X_}

_3-4 ^{> 12}

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3x - 3 = 12

x > 13

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x = 3

400

8=8v-4(v+8)

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8 = 8x-4(x+8)

What is v=10

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x = 10

400

Write this graph in inequality notation.

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-6n>108

What is x < 5

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Show graph for: n<-18

400

What passes through the coordinate points (4, 12) and (-2,0)

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What is Y= 2x + 8

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400

5(2x+6)=-4(-5-2x)+3x

What is x=10

400

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2(2x -5) = 6(3)

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X = 7

500

5(2x+6)=-4(-5-2x)+3x

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2x+6 = 4(2x -5)-1

What is x=10

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What is x=2

500

Write the inequality notation for this graph:

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9n - 6 < 5n + 18

C. 𝑥 ≥ −3

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Show graph for: n<6

500

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solve the equation: -38d - 57 = -19d + 76

C. 𝑥 < 16

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d = -7

500

9n-6<5n+18

What is n<6

500

6n-9-2n <7

Multi-step Inequality ( Combining Like Terms)