Question

1. $3x + 8 = 26$
2. $4m - 12 = -8$
3. $2y + 9 < -1$
4. $2n + 9 < 6$
5. $-3r - 17 = -38$
6. $11n + 7 = 29$
7. $7y - 18 \geq 17$
8. $2n + 9 > 1$

Explanation:

Step1: Isolate term with $x$

$3x = 26 - 8$
$3x = 18$

Step2: Solve for $x$

$x = \frac{18}{3}$
$x = 6$

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Step1: Isolate term with $m$

$4m = -8 + 12$
$4m = 4$

Step2: Solve for $m$

$m = \frac{4}{4}$
$m = 1$

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Step1: Isolate term with $y$

$2y < -1 - 9$
$2y < -10$

Step2: Solve for $y$

$y < \frac{-10}{2}$
$y < -5$

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Step1: Isolate term with $n$

$2n < 6 - 9$
$2n < -3$

Step2: Solve for $n$

$n < \frac{-3}{2}$
$n < -1.5$

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Step1: Isolate term with $r$

$-3r = -38 + 17$
$-3r = -21$

Step2: Solve for $r$

$r = \frac{-21}{-3}$
$r = 7$

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Step1: Isolate term with $n$

$11n = 29 - 7$
$11n = 22$

Step2: Solve for $n$

$n = \frac{22}{11}$
$n = 2$

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Step1: Isolate term with $y$

$7y \geq 17 + 18$
$7y \geq 35$

Step2: Solve for $y$

$y \geq \frac{35}{7}$
$y \geq 5$

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Step1: Isolate term with $n$

$2n > 1 - 9$
$2n > -8$

Step2: Solve for $n$

$n > \frac{-8}{2}$
$n > -4$

Answer:

1. $x = 6$
2. $m = 1$
3. $y < -5$
4. $n < -1.5$
5. $r = 7$
6. $n = 2$
7. $y \geq 5$
8. $n > -4$