Question

Can anyone help me with these questions? 1-10 pls :( <^3

Answer 1

Answer:

Question 1: A. {-500}

Question 2: D. {-11}

Question 3: B. {2}

Question 4: A. {-19}

Question 5: A. {6}

Question 6: D. {23}

Question 7: B. {12}

Question 8: B. {-18}

Question 9: B. {-21}

Question 10: A. {-29}

Step-by-step explanation:

Question 1: $\frac{b}{20}$ = -25

Steps:

$\frac{b}{20}$ = -25

Multiply both sides by 20

$\frac{20b}{20}$ = 20 (-12)

Simplify

b = -500

Answer is A. {-500}

Question 2: 35 = 24 - b

Steps:

35 = 24 - b

Add b to both sides

35 + b = 24 - b + b

Simplify

35 + b = 24

Subtract 35 from both sides

35 + b - 35 = 24 - 35

Simplify again

b = -11

Answer is D. {-11}

Question 3: 24 = 22 + x

Steps:

24 = 22 + x

Switch sides

22 + x = 24

Subtract 22 from both sides

22 + x - 22 = 24 - 22

Simplify

x = 2

Answer is B. {2}

Question 4: -17x = 323

Steps:

-17x = 323

Divide both sides by -17

$\frac{-17x}{-17}$ = $\frac{323}{-17}$

Simplify

$\frac{-17x}{-17}$

Apply the fraction rule: For example, $\frac{a}{-b}$ = - $\frac{a}{b}$

$\frac{-17x}{-17}$ = $\frac{17x}{17}$

Divide the numbers

$\frac{17x}{17}$ = x

Simplify

$\frac{323}{-17}$

Apply the fraction rule

$\frac{323}{-17}$ = - $\frac{323}{17}$

Divide the numbers

$\frac{323}{17}$ = -19

x = -19

Answer is A. {-19}

Question 5: 4 = 10 - x

Solve:

4 = 10 - x

Add x to both sides

4 + x = 10 - x + x

Simplify

4 + x = 10

Subtract 4 from both sides

4 + x - 4 = 10 - 4

Simplify

x = 6

Answer is A. {6}

Question 6: x - (-16) = 7

Steps:

x - (-16) = 7

x - 16 = 7

Add 16 to both sides

x - 16 + 16 = 7 + 16

Simplify

x = 23

Answer is D. {23}

Question 7: -30p = -360

Steps:

-30p = -360

Divide by both sides

$\frac{-30p}{-30}$ = $\frac{-360}{-30}$

Simplify

$\frac{-30p}{-30}$

Apply the fraction rule

$\frac{-30p}{-30}$  = $\frac{30p}{30}$

Divide the numbers

$\frac{30p}{30}$ = p

Simplify again

$\frac{-360}{-30}$ = $\frac{360}{30}$

Divide the numbers

$\frac{360}{30}$ = 12

p = 12

Answer is B. {12}

Question 8: 14x = -252

Steps:

14x = -252

Divide both sides by 14

$\frac{14x}{14}$ = $\frac{-252}{14}$

Simplify

$\frac{14x}{14}$ = x

Simplify again

$\frac{-252}{14}$

Apply the fraction rule

$\frac{-252}{14}$ = -$\frac{252}{14}$

Divide the numbers

-$\frac{252}{14}$ = -18

x = -18

Answer is B. {-18}

Question 9: -39 = x - 18

Solve:

-39 = x - 18

Switch sides

x - 18 = -39

Add 18 to both sides

x - 18 + 18 = -39 + 18

Simplify

x = -21

Answer is B. {-21}

Question 10: m - (-27) = -2

Steps:

m - (-27) = -2

Apply rule: For example, - (-a) = a

m + 27 = -2

Subtract 27 from both sides

m + 27 - 27 = -2 - 27

Simplify

m = -29

Answer is A. {-29}

I hope this helps you understand how to solve them next time :)