Question

solving 2-step equation:

• remember to get rid of the things farthest away from the variable first! (reverse bedmas)

1. $5x - 4 = 11$
2. $3m + 6 = 18$
3. $\frac{k}{2} + 14 = 16$
4. $-p + 6 = 16$
5. $\frac{h}{3} - 6 = 5$
6. $-3u + 14 = -4$

how do you check whether your answer is correct?
homework:
one step equation practice. show your work

1. $x + 7 = 18$
2. $x - 5 = -3$
3. $6x = 24$
4. $\frac{x}{2} = 9$
5. $x + 3 = -5$
6. $x - 5 = 13$
7. $-5x = 30$
8. $-\frac{x}{3} = -4$
9. $6 + x = 14$
10. $-2 = -8 + x$

two step equation practice. show your work.

1. $2x - 5 = 9$
2. $3y + 4 = 16$
3. $7t - 10 = -4$
4. $5m + 28 = 13$
5. $\frac{x}{2} - 3 = 17$
6. $\frac{y}{3} + 6 = 8$
7. $5 + 2x = 13$
8. $3 + \frac{x}{4} = 7$
9. $-4x + 7 = 1$
10. $-12 + \frac{x}{5} = -18$

solutions: 1) 11 2) 2 3) 4 4) 18 5) -8 6) 18 7) -6 8) 12 9) 8 10) 6

1. 7 12) 4 13) -5 14) -3 15) 40 16) 6 17) 4 18) 16 19) -1 20) -30

Explanation:

First, solving the top 2-step equations (1-6):

Step1: Isolate term with variable

1. $5x - 4 = 11$

Add 4 to both sides:
$5x - 4 + 4 = 11 + 4$
$5x = 15$

Step2: Solve for $x$

Divide by 5:
$\frac{5x}{5} = \frac{15}{5}$
$x = 3$

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Step1: Isolate term with variable

2. $3m + 6 = 18$

Subtract 6 from both sides:
$3m + 6 - 6 = 18 - 6$
$3m = 12$

Step2: Solve for $m$

Divide by 3:
$\frac{3m}{3} = \frac{12}{3}$
$m = 4$

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Step1: Isolate term with variable

3. $\frac{k}{2} + 14 = 16$

Subtract 14 from both sides:
$\frac{k}{2} + 14 - 14 = 16 - 14$
$\frac{k}{2} = 2$

Step2: Solve for $k$

Multiply by 2:
$\frac{k}{2} \times 2 = 2 \times 2$
$k = 4$

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Step1: Isolate term with variable

4. $-p + 6 = 16$

Subtract 6 from both sides:
$-p + 6 - 6 = 16 - 6$
$-p = 10$

Step2: Solve for $p$

Multiply by $-1$:
$-p \times (-1) = 10 \times (-1)$
$p = -10$

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Step1: Isolate term with variable

5. $\frac{h}{3} - 6 = 5$

Add 6 to both sides:
$\frac{h}{3} - 6 + 6 = 5 + 6$
$\frac{h}{3} = 11$

Step2: Solve for $h$

Multiply by 3:
$\frac{h}{3} \times 3 = 11 \times 3$
$h = 33$

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Step1: Isolate term with variable

6. $-3u + 14 = -4$

Subtract 14 from both sides:
$-3u + 14 - 14 = -4 - 14$
$-3u = -18$

Step2: Solve for $u$

Divide by $-3$:
$\frac{-3u}{-3} = \frac{-18}{-3}$
$u = 6$

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How to check answers:

Substitute the calculated value of the variable back into the original equation. Simplify both sides; if the left side equals the right side, the answer is correct.

1. $x + 7 = 18$

Subtract 7 from both sides:
$x = 18 - 7$
$x = 11$

2. $x - 5 = -3$

Add 5 to both sides:
$x = -3 + 5$
$x = 2$

3. $6x = 24$

Divide by 6:
$x = \frac{24}{6}$
$x = 4$

4. $\frac{x}{2} = 9$

Multiply by 2:
$x = 9 \times 2$
$x = 18$

5. $x + 3 = -5$

Subtract 3 from both sides:
$x = -5 - 3$
$x = -8$

6. $x - 5 = 13$

Add 5 to both sides:
$x = 13 + 5$
$x = 18$

7. $-5x = 30$

Divide by $-5$:
$x = \frac{30}{-5}$
$x = -6$

8. $-\frac{x}{3} = -4$

Multiply by $-3$:
$x = -4 \times (-3)$
$x = 12$

9. $6 + x = 14$

Subtract 6 from both sides:
$x = 14 - 6$
$x = 8$

10. $-2 = -8 + x$

Add 8 to both sides:
$x = -2 + 8$
$x = 6$

Answer:

Substitute your solution into the original equation. If both sides of the equation are equal after simplification, the answer is correct.

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Homework: One Step Equations (1-10)