Question

one step equations with integers
solve each equation.

1. ( x - 19 = -8 )
2. ( y - 10 = -5 )
3. ( x - 3 = 4 )
4. ( \frac{z}{7} = 2 )
5. ( 22n = -114 )
6. ( -13n = -177 )
7. ( k - 7 = -4 )
8. ( -8 + p = 13 )
9. ( -40 = -5p )
10. ( 418 = -22a )
11. ( \frac{d}{29} = 5 )
12. ( -2 = \frac{m}{16} )
13. ( x - 11 = 16 )
14. ( -10 + x = 21 )

Explanation:

Step1: Isolate $x$ by adding 10

$x - 10 + 10 = 0 + 10$

Step2: Simplify to find $x$

$x = 10$

Step1: Isolate $x$ by adding 10

$x - 10 + 10 = -3 + 10$

Step2: Simplify to find $x$

$x = 7$

Step1: Isolate $x$ by adding 3

$x - 3 + 3 = 4 + 3$

Step2: Simplify to find $x$

$x = 7$

Step1: Isolate $x$ by multiplying by 3

$\frac{x}{3} \times 3 = 2 \times 3$

Step2: Simplify to find $x$

$x = 6$

Step1: Isolate $x$ by dividing by 32

$\frac{32x}{32} = \frac{-114}{32}$

Step2: Simplify to find $x$

$x = -\frac{57}{16}$ or $x = -3.5625$

Step1: Isolate $w$ by dividing by -13

$\frac{-13w}{-13} = \frac{-397}{-13}$

Step2: Simplify to find $w$

$w = \frac{397}{13}$ or $w \approx 30.538$

Step1: Isolate $b$ by adding 7

$b - 7 + 7 = -1 + 7$

Step2: Simplify to find $b$

$b = 6$

Step1: Isolate $p$ by subtracting -8

$-8 + 8 = p - 13 + 8$

Step2: Simplify to find $p$

$0 = p - 5 \implies p = 5$

Step1: Isolate $p$ by dividing by -5

$\frac{-40}{-5} = \frac{-5p}{-5}$

Step2: Simplify to find $p$

$p = 8$

Step1: Isolate $a$ by dividing by -22

$\frac{418}{-22} = \frac{-22a}{-22}$

Step2: Simplify to find $a$

$a = -19$

Step1: Isolate $d$ by multiplying by 20

$\frac{d}{20} \times 20 = 5 \times 20$

Step2: Simplify to find $d$

$d = 100$

Step1: Isolate $m$ by multiplying by 10

$-2 \times 10 = \frac{m}{10} \times 10$

Step2: Simplify to find $m$

$m = -20$

Step1: Isolate $x$ by adding 11

$x - 11 + 11 = 16 + 11$

Step2: Simplify to find $x$

$x = 27$

Step1: Isolate $x$ by adding 10

$-10 + 10 = x - 21 + 10$

Step2: Simplify to find $x$

$0 = x - 11 \implies x = 11$

Answer:

1. $x = 10$
2. $x = 7$
3. $x = 7$
4. $x = 6$
5. $x = -\frac{57}{16}$
6. $w = \frac{397}{13}$
7. $b = 6$
8. $p = 5$
9. $p = 8$
10. $a = -19$
11. $d = 100$
12. $m = -20$
13. $x = 27$
14. $x = 11$