1. Write the equation that represents the line that has slope 3 and y-intercept –5?

2. Write the equation of the line that passes through (3, 5) and (–2, 5).

5. Solving Inequalities by Addition and Subtraction
LESSON 5–1
Solving Inequalities by Addition and Subtraction

6. Mathematical Processes A.1(E), A.1(F)
Targeted TEKS
A.2(H) Write linear inequalities in two variables given a table of values, a graph, and a verbal description.
A.5(B) Solve linear inequalities in one variable, including those for which the application of the distributive property is necessary and for which variables are included on both sides.
Mathematical Processes
A.1(E), A.1(F)
TEKS

7. Vocabulary

8. Concept

10. Solve c – 12 > 65. Graph and Check a solution.
Solve by Adding
Solve c – 12 > 65. Graph and Check a solution.

11. Solve k – 4 < 10. Graph and Check a solution.

13. Solve the inequality x + 23 < 14. Graph and Check a solution.
Solve by Subtracting
Solve the inequality x + 23 < 14. Graph and Check a solution.

14. Solve the inequality m – 4  –8.

15. Solve 12n – 4 ≤ 13n. Graph the solution and Check a solution.
Variables on Each Side
Solve 12n – 4 ≤ 13n. Graph the solution and Check a solution.

16. Solve 3p – 6 ≥ 4p. Graph the solution and check a solution.

17. Define a variable for the given situation
Define a variable for the given situation. Write an inequality that represents the situation. Solve and graph your solution set.
The sum of four times a number and 7 is at most triple that number minus 5.

18. Define a variable for the given situation
Define a variable for the given situation. Write an inequality that represents the situation. Solve and graph your solution set.
The difference of double a number and -9 is more than four times that number plus 8.

19. Use an Inequality to Solve a Problem
ENTERTAINMENT Panya wants to buy season passes to two theme parks. If one season pass costs $54.99 and Panya has $100 to spend on both passes, the second season pass must cost no more than what amount? Write and solve an inequality that represents this situation.

20. BREAKFAST Jeremiah is taking two of his friends out for pancakes
BREAKFAST Jeremiah is taking two of his friends out for pancakes. If he spends $17.55 on their meals and has $26 to spend in total, Jeremiah’s pancakes must cost no more than what amount? Write and solve an inequality that represents this situation.

21. Solving Inequalities by Addition and Subtraction
LESSON 5–1
Solving Inequalities by Addition and Subtraction