Independent Work Answer Key

Units 7.8, 8.1, 8.2, 8.3 Review | North Star Academy

9TH GRADE ALGEBRA

Unit 7.8: Inequalities

1. Pizza Budget: \(x \leq 20\)

2. Point Guard: \(5 < x \leq 15\)

Note: "No more than" includes the number (equal to).

Solution Point: (1, 3)

Both lines meet at x=1 and y=3.

Step 1: \(x + (2x) = 6\)

Step 2: \(3x = 6 \rightarrow\) x = 2

Step 3: \(y = 2(2) \rightarrow\) y = 4

Final Solution: (2, 4)

Step 1: \(2x = 12\) (10 + 2)

Step 2: x = 6 (12 / 2)

Step 3: \(6 + y = 10 \rightarrow\) y = 4

Final Solution: (6, 4)

Answer: A (Substitution)

Reason: Since 'y' is already alone, it is easiest to plug it in.