Envision Solving Equations and Inequalities

The steps in solving 5b - 6 = 24 are: 

• Add 6 to both sides and divide both sides by 5

• Add 6 to both sides and multiply both sides by 5

• Subtract 6 from both sides then multiply both sides by 5

• Subtract 6 from both sides then divide both sides by 5

Solve for x:

• x = 20

• x = 7

• x = 10

• x = 3

The solution to the inequality 5x − 4 > 21 is represented by which number line?

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• 
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What is the first step in solving the following equation?
3x - 5 = 20

• multiply both sides by 5

• add 5 to both sides

• divide both sides by 5

• subtract both sides by 5

• 145

• 165

• 180

• 190

Solve for k in the following inequality and choose the best answer to match the graph: 2k - 9 ≤ -19

• The graph would have a closed circle shaded left at -5.

• The graph would have a closed circle shaded left of 5.

• The graph would have an open circle shaded left of -5.

• The graph would have an open circle shaded left of 5.

When solving the following inequality, what is the FIRST step you would do? -4x + 8 > -15

• Add 8 to both sides of the inequality.

• Divide by negative four on both sides of the inequality.

• Subtract negative eight to both sides of the inequality.

• Subtract eight to both sides of the inequality.

Solve the following inequality and choose the best answer: 4x - 8 < -16

• The graph would be an open circle shading right of 2

• The graph would have a closed circle shading left of -2

• The graph would have an open circled shading left of -2

• The graph would have a closed circle shading right of 2

Which of the following is the solution to the equation: 2x - 14 = 6

• -4

• 10

• 12

• 20

Where did Rajendra make an error in his calculation?

• Step 1

• Step 2

• Step 3

• Rajendra is correct.