1. 1. Describe the solutions of 7 < x + 4.
Lesson Quiz 3.1
1. Describe the solutions of 7 < x + 4.
all real numbers greater than 3
2. Graph h ≥ –4.75 –5
–4.75
–4.5
Write the inequality shown by each graph.
x ≥ 3 3. 4.
x < –5.5

2. 4 – 6a + 4a = –1 – 5(7 – 2a)
4 – 6a + 4a = -1 + (-5)(7) + (-5)(-2a)
4 – 6a + 4a = -1 + (-35) + (10a)
4 – 2a = a
+36 +2a a
= a
10/ = a

4. Learning Target
Students will be able to: Solve one-step inequalities by using addition and solve one-step inequalities by using subtraction.

5. Solve the inequality and graph the solutions.
x + 12 < 20
–10 –8 –6 –4 –2 2 4 6 8 10
d – 5 > –7
–10 –8 –6 –4 –2 2 4 6 8 10

6. 0.9 ≥ n – 0.3 > –3 + t –10 –8 –6 –4 –2 2 4 6 8 10 –10 –8 –6 –4 –2 22 4 6 8 10
> –3 + t
–10 –8 –6 –4 –2 2 4 6 8 10

7. Sami has a gift card. She has already used $14 of the of the total value, which was $30. Write, solve, and graph an inequality to show how much more she can spend.

8. Mrs. Lawrence wants to buy an antique bracelet at an auction
Mrs. Lawrence wants to buy an antique bracelet at an auction. She is willing to bid no more than $550. So far, the highest bid is $475. Write and solve an inequality to determine the amount Mrs. Lawrence can add to the bid. Check your answer.

9. Learning Target
Students will be able to: Solve one-step inequalities by using multiplication and solve one-step inequalities by using division.

10. Solve the inequality and graph the solutions.
7x > –42
–10 –8 –6 –4 –2 2 4 6 8 10
–10 –8 –6 –4 –2 2 4 6 8 10

11. Solve the inequality and graph the solutions.
–10 –8 –6 –4 –2 2 4 6 8 10

12. Solve the inequality and graph the solutions.

13. Solve the inequality and graph the solutions.
If you multiply or divide both sides of an inequality by a negative number, the resulting inequality is not a true statement. You need to reverse the inequality symbol to make the statement true.
Solve the inequality and graph the solutions.
–12x > 84
–10 –8 –6 –4 –2 2 4 6 8 10

14. Solve the inequality and graph the solutions.

15. Jill has a $20 gift card to an art supply store where 4 oz tubes of paint are $4.30 each after tax. What are the possible numbers of tubes that Jill can buy?
Since Jill can buy only whole numbers of tubes, she can buy 0, 1, 2, 3, or 4 tubes of paint.

16. A pitcher holds 128 ounces of juice
A pitcher holds 128 ounces of juice. What are the possible numbers of 10-ounce servings that one pitcher can fill?
The pitcher can fill 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, or 12 servings.
HW: pp /1-17,18-42

17. Warm Up Graph each inequality. Write an inequality for each situation.
1. The temperature must be at least –10°F.
2. The temperature must be no more than 90°F.
–10 10
x ≥ –10
x ≤ 90
–90 90
Solve each equation.
3. x – 4 = 10 14
4. 15 = x + 1.1
13.9