Solve Equations and Inequalities Hard

Select all equations that are represented in this diagram.

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Please solve this equation

1.2x = 9.6

• x = 8

• x = 10.8

• x = 8.4

• None of these match my answer

Please solve this equation

7x = 84

• x = 77

• x = 91

• x = 588

• None of these match my answer

Which situation can be represented by the inequality 1.25x - 6.50 > 50?

• Stefan spends $6.50 on supplies for a lemonade stand and sells each cup of lemonade for $1.25. What is x, the number of cups of lemonade Stefan must sell to earn a profit of more than $50?

• Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. What is x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account?

• Stefan earns 1.25% interest on the balance in his checking account and has to pay a monthly charge of $6.50. What is x, the balance that Stefan must have in his checking account in order to have an ending balance greater than $50 after interest and fees?

• Stefan charges $1.25 for gasoline plus $6.50 per hour for mowing lawns. What is x, the number of hours he has to mow lawns to earn more than $50?

Which inequality can be used to find p, the number of pies the class needs to sell in order to earn enough money to pay for the field trip?

• 5p + 75 ≤ 386

• 5p + 75 ≥ 386

• 75p + 5 ≥ 386

• 75p + 5 ≤ 386

Answer explanation

They need AT LEAST the $386,

so the symbol would be equal to and greater than

Complete the statements about the ray that represents the solution to 12 - 4x < −20 on a number line. PICK TWO ANSWERS (WHERE THE DOT SHOULD BE AND WHICH WAY THE ARROW POINTS)

• The endpoint of the ray should be an open dot on 8

• The ray should point to the left

• The endpoint of the ray should be a closed dot on the -8

• The ray should point to the right

Which numbers have been put in the drop boxes correctly to make the inequality that matches this question?

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Which number line represents the solution to the inequality 5x - 4 > 21?

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Which equation is true when x = 4?

• 3x + 4 = 8

• 2x + 8 = 40

• 5x - 2 = 18

• 4x + 4 = 12

What is the solution set for the inequality 4 - 5x > 39?

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• 7