Linear Equations and Inequalities

1. $3x + 7 = 22$ $3x = 22 - 7 = 15$ $x = \frac{15}{3} = 5$

2. $\frac{2y - 4}{3} = 6$ $2y - 4 = 18$ $2y = 22$ $y = 11$

3. $5x - 3 > 17$ $5x > 20$ $x > 4$

On a number line, draw an open circle at $4$ and shade everything to the right.

4. The total cost is $25 + 0.10t$. We need:

$25 + 0.10t \leq 40$ $0.10t \leq 15$ $t \leq 150$

You can send at most 150 text messages per month.

5. $4(x - 2) = 3(x + 1) - 5$ $4x - 8 = 3x + 3 - 5$ $4x - 8 = 3x - 2$ $4x - 3x = -2 + 8$ $x = 6$