Question

2-step equations valentines activity name

1. -52 = 3m - 10
2. -7m + 26 = -44
3. (1/4)m - 7 = -5
4. 12(m - 8) = -120
5. -2(n - 12) = 40
6. 13 + (n/-4) = 5
7. 6(m + (2/3)) = -20
8. -3.2 = -5m - 0.7
9. -11(2m - 2) = -

Explanation:

Step1: Isolate term with $m$

Add 10 to both sides:
$-52 + 10 = 3m - 10 + 10$
$-42 = 3m$

Step2: Solve for $m$

Divide by 3:
$\frac{-42}{3} = \frac{3m}{3}$
$m = -14$

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Step1: Isolate term with $m$

Subtract 20 from both sides:
$-7m + 20 - 20 = -44 - 20$
$-7m = -64$

Step2: Solve for $m$

Divide by $-7$:
$\frac{-7m}{-7} = \frac{-64}{-7}$
$m = \frac{64}{7} \approx 9.14$

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Step1: Isolate term with $n$

Add 7 to both sides:
$\frac{1}{4}n - 7 + 7 = -5 + 7$
$\frac{1}{4}n = 2$

Step2: Solve for $n$

Multiply by 4:
$4 \times \frac{1}{4}n = 2 \times 4$
$n = 8$

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Step1: Isolate term with $n$

Divide by 12:
$\frac{12(n - 8)}{12} = \frac{-120}{12}$
$n - 8 = -10$

Step2: Solve for $n$

Add 8 to both sides:
$n - 8 + 8 = -10 + 8$
$n = -2$

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Step1: Isolate term with $n$

Divide by $-2$:
$\frac{-2(n - 12)}{-2} = \frac{40}{-2}$
$n - 12 = -20$

Step2: Solve for $n$

Add 12 to both sides:
$n - 12 + 12 = -20 + 12$
$n = -8$

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Step1: Isolate term with $n$

Subtract 13 from both sides:
$13 + \frac{n}{-4} - 13 = 5 - 13$
$\frac{n}{-4} = -8$

Step2: Solve for $n$

Multiply by $-4$:
$-4 \times \frac{n}{-4} = -8 \times -4$
$n = 32$

Answer:

1. $m = -14$
2. $m = \frac{64}{7} \approx 9.14$
3. $n = 8$
4. $n = -2$
5. $n = -8$
6. $n = 32$