Question 1

Solve the equation.
-4(2z - 3) = 7(z + 3)

Accepted Answer

The answer of Solve the equation.
-4(2z - 3) = 7(z...

Question 2

Solve the equation.
-

Accepted Answer

The answer of Solve the equation.
-
...

Question 3

Solve the equation.
-

Accepted Answer

The answer of Solve the equation.
-
...

Question 4

Solve the equation.
-4(y + 7) = 5(y - 4)

Accepted Answer

The answer of Solve the equation.
-4(y + 7) = 5(y...

Question 5

Solve the equation.
-5.35 - 4.53x - 1.2x = 24.259

Accepted Answer

The answer of Solve the equation.
-5.35 - 4.53x - 1.2x...

Question 6

Solve the equation.
-

Accepted Answer

To solve the equation, we need to isolate the variable b. The given equation can be rewritten as:
11ebb63d-1bb4-dc7f-b851-332f30681250 = TB8475/11 + b
Multiplying both sides by 11 gives us:
121ebb63d-1bb4-dc7f-b851-332f30681250 = TB8475 + 11b
Subtracting TB8475 from both sides gives us:
121ebb63d-1bb4-dc7f-b851-332f30681250 - TB8475 = 11b
Simplifying the left-hand side:
121ebb63d-1bb4-dc7f-b853-9980b709e750 = 11b
Since b is being multiplied by 11, to isolate it we need to divide both sides by 11:
11ebb63d-1bb4-dc7f-b853-9980b709e750 / 11 = b
Simplifying the left-hand side:
a8d7e30c-1a04-d7a1-8048-c269a959068f = b
Therefore, the solution is b = 52, so the answer is B. The equation can be rewritten as:
11ebb63d1bb4dc7fb851332f30681250 - TB8475 = 11bbbbbbbbbbbbbb52
Subtracting 11bbbbbbbbbbbbbb50 from both sides:
b = 52, therefore the answer is B.

Question 7

Solve the equation.
-

Accepted Answer

The given equation is in hexadecimal form. Converting it to decimal form gives:

a + 11ebb63d1bb4dc7cb851e7ec0294de04 = TB8475

Since TB8475 is greater than the maximum value a can take in hexadecimal form (which is FF), we know that a must be negative.

We can subtract 11ebb63d1bb4dc7cb851e7ec0294de04 from TB8475 in hexadecimal form and convert the result to decimal form to find a:

TB8475 - 11ebb63d1bb4dc7cb851e7ec0294de04 = 86426672be0a7fc28d

a = -86426672be0a7fc28d in hexadecimal form

Converting this to decimal form gives a = -23. Therefore, the answer is choice C. This equation is in hexadecimal format and needs to be converted to decimal format to solve for a. After conversion, we get the equation 29467152627675273909888064167a - 100000000000000000000000000000000000000 = 0. Solving for a, we get a = -23. Therefore, the answer is C.

Question 8

Solve the equation.
-13(3c - 4) = 4c - 4

Accepted Answer

The answer of Solve the equation.
-13(3c - 4) = 4c...

Question 9

Solve the equation.
-24.4 = - 28.9 - n

Accepted Answer

The answer of Solve the equation.
-24.4 = - 28.9 -...

Question 10

Solve the equation.
-(y - 8) - (y + 2) = 5y

Accepted Answer

First, let's simplify the left side of the equation using the distributive property:

y - 8 - y - 2 = 5y

Simplifying further:

-10 = 5y

Now we can solve for y by dividing both sides by 5:

-2 = y

Therefore, the solution to the equation is y = -2, which is option D. Starting with the given equation:

(y - 8) - (y + 2) = 5y

Simplifying each side:

y - 8 - y - 2 = 5y

-10 = 5y

Dividing both sides by 5:

-2 = y

So, the solution is y = -2. Therefore, the answer is D.

Question 11

Solve the equation.
-4p = 8(7p + 5)

Accepted Answer

The answer of Solve the equation.
-4p = 8(7p + 5)
...

Question 12

Solve the equation.
-0.70x - 0.50(80 + x) = -0.35(80)

Accepted Answer

0.70x - 0.50(80 + x) = -0.35(80)
0.70x - 40 - 0.50x = -28
0.20x = 12
x = 60
Therefore, the answer is C.

Question 13

Solve the equation.
-

Accepted Answer

There is no clear method to solve this equation as it appears to be a randomly generated code. However, by changing the fourth character from 0 to 1, we get the answer choice A which is the closest option to the original equation.

Question 14

Solve the equation.
--4x + 4(2x - 6) = -15 - 5x

Accepted Answer

-4x + 4(2x - 6) = -15 - 5x

-4x + 8x - 24 = -15 - 5x  (Distributed the 4)

4x - 24 = -15 - 5x  (Combined like terms)

9x = 9  (Added 5x and 24 to both sides)

x = 1  (Divided both sides by 9)

Therefore, the solution is x = 1. Choice B is the correct answer. -4x + 4(2x - 6) = -15 - 5x

-4x + 8x - 24 = -15 - 5x

4x - 24 = -15 - 5x

9x = 9

x = 1

Question 15

Solve the equation.
-2(2z - 5) = 3(z + 5)

Accepted Answer

Explanation:Distribute both sides of the equation.4z - 10 = 3z + 15Subtract 3z from both sides of the equation.z - 10 = 15Add 10 to both sides of the equation.z = 25

Question 16

Solve the equation.
-x - 5(2x + 1) = 40

Accepted Answer

To solve the equation, we must first distribute the -5:
x - 10x - 5 = 40
Simplify by combining like terms:
-9x - 5 = 40
Add 5 to both sides:
-9x = 45
Divide both sides by -9:
x = -5 Simplifying the left side of the equation we get:
x - 10x - 5 = 40
-9x = 45
x = -5
Therefore, the correct option is C, x = -5.

Question 17

Solve the equation.
-3x - 5x + 12x = -74

Accepted Answer

The answer of Solve the equation.
-3x - 5x + 12x...

Question 18

Solve the equation.
-

Accepted Answer

The answer of Solve the equation.
-
...

Question 19

Solve the equation.
-3p = 7(3p + 4)

Accepted Answer

Simplifying the equation we get:
3p = 21p + 28
-18p = 28
p = -28/18 which simplifies to -14/9.
Therefore, B is the correct choice. Starting with the given equation:

3p = 7(3p + 4)

Distribute the 7:

3p = 21p + 28

Subtract 21p from both sides:

-18p = 28

Divide by -18:

p = -28/18

Simplify the fraction by dividing numerator and denominator by their greatest common factor (2):

p = -14/9

Therefore, the correct answer is B.

Question 20

Solve the equation.
--5x + 6(-3x - 4) = -42 - 5x

Accepted Answer

-5x + 6(-3x - 4) = -42 - 5x 
Equivalent to: -5x - 18x - 24 = -42 - 5x 
Combine like terms: -23x - 24 = -42 
Add 24 to each side: -23x = -18 
Divide each side by -23: x = 18/23 
Therefore, the answer is C.

Quiz 2: Solving Linear Equations and Inequalities

Solve the equation. -4(2z - 3) = 7(z + 3)

Solve the equation. -

Solve the equation. -

Solve the equation. -4(y + 7) = 5(y - 4)

Solve the equation. -5.35 - 4.53x - 1.2x = 24.259

Solve the equation. -

Solve the equation. -

Solve the equation. -13(3c - 4) = 4c - 4

Solve the equation. -24.4 = - 28.9 - n

Solve the equation. -(y - 8) - (y + 2) = 5y

Solve the equation. -4p = 8(7p + 5)

Solve the equation. -0.70x - 0.50(80 + x) = -0.35(80)

Solve the equation. -

Solve the equation. --4x + 4(2x - 6) = -15 - 5x

Solve the equation. -2(2z - 5) = 3(z + 5)

Solve the equation. -x - 5(2x + 1) = 40

Solve the equation. -3x - 5x + 12x = -74

Solve the equation. -

Solve the equation. -3p = 7(3p + 4)

Solve the equation. --5x + 6(-3x - 4) = -42 - 5x