Equations and Inequalities

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 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 situation is best represented by the equation 68.50x + 127.95 = 675.95?

• An office manager paid $675.95 to build a website. The office manager bought a software package for $68.50 and paid an employee $127.95 for each hour she worked on the website. What is x, the number of hours the employee worked on the website?

• An office manager paid $675.95 for computer equipment. The office manager bought one monitor for $127.95 and hard drives for $68.50 each. What is x, the number of hard drives the office manager bought?

• A sales manager paid $675.95 for advertising. The sales manager paid $127.95 per hour for consulting and received a $68.50 discount. What is x, the number of hours the manager paid for consulting?

• A business owner paid a total of $675.95 for two employees to work the same number of days. The business owner paid one employee $68.50. The business paid a second employee $127.95 per day. What is x, the number of days the employees worked?

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

Make an Equation from the model, then solve

• 0

• 5.8

• 15.2

• 7

Answer explanation

This model says 2x+9.4=21

So you would start by subtracting 9.4

Then you would divide by 2

Which inequalities are true when x = -8? CHOOSE TWO ANSWERS

• 12 ≤ -4

• -2x + 9 ≥ 25

• 3x + 8 > 16

• -x - 2 > -3