Which of the following four equations has the solution of the lowest value?

Question

Responses

x − 6 = −16
x minus 6 equals negative 16

x − 7 = 28
x minus 7 equals 28

x + 19 = −5
x plus 19 equals negative 5

x + 25 = 2

Answer 1

To find the solutions for each equation, we'll solve them one by one:

1. Equation: \( x - 6 = -16 \)

   Solution: \[ x = -16 + 6 \ x = -10 \]

2. Equation: \( x - 7 = 28 \)

   Solution: \[ x = 28 + 7 \ x = 35 \]

3. Equation: \( x + 19 = -5 \)

   Solution: \[ x = -5 - 19 \ x = -24 \]

4. Equation: \( x + 25 = 2 \)

   Solution: \[ x = 2 - 25 \ x = -23 \]

Now we have the solutions:

• From the first equation, \( x = -10 \)
• From the second equation, \( x = 35 \)
• From the third equation, \( x = -24 \)
• From the fourth equation, \( x = -23 \)

The equation with the solution of the lowest value is from the third equation: \( x + 19 = -5 \) with the solution \( x = -24 \).

Answer 2

So what’s the answer

Answer 3

The equation with the solution of the lowest value is:

\( x + 19 = -5 \)

This equation has the solution \( x = -24 \), which is the lowest among the solutions of the given equations.

Answer 4

Which of the following equations has a different value of x  than the others?(1 point)
Responses

x − 7/8 = −3/2
x minus Start Fraction 7 over 8 End Fraction equals negative Start Fraction 3 over 2 End Fraction

x + 0.875 = 1.5
x plus 0.875 equals 1.5

x − 0.025 = 0.6
x minus 0.025 equals 0.6

x + 9/8 = 7/4

Answer 5

To find which of the equations has a different value of \( x \) than the others, we need to solve each equation.

1. Equation: \( x - \frac{7}{8} = -\frac{3}{2} \)

   Solution: \[ x = -\frac{3}{2} + \frac{7}{8} \] First, convert \( -\frac{3}{2} \) to a fraction with a denominator of 8: \[ -\frac{3}{2} = -\frac{12}{8} \] Now, substitute and solve: \[ x = -\frac{12}{8} + \frac{7}{8} = -\frac{12 - 7}{8} = -\frac{5}{8} \]

2. Equation: \( x + 0.875 = 1.5 \)

   Solution: Convert 0.875 to a fraction: \[ 0.875 = \frac{7}{8} \] \[ x + \frac{7}{8} = 1.5 \] Again, convert 1.5 to a fraction: \[ 1.5 = \frac{3}{2} = \frac{12}{8} \] Now, solve for \( x \): \[ x = \frac{12}{8} - \frac{7}{8} = \frac{12 - 7}{8} = \frac{5}{8} \]

3. Equation: \( x - 0.025 = 0.6 \)

   Solution: Convert 0.025 to a fraction: \[ 0.025 = \frac{25}{1000} = \frac{1}{40} \] \[ x - \frac{1}{40} = 0.6 \] Convert 0.6 to a fraction: \[ 0.6 = \frac{6}{10} = \frac{3}{5} \] Find a common denominator (40): \[ \frac{3}{5} = \frac{24}{40} \] Now solve for \( x \): \[ x = \frac{24}{40} + \frac{1}{40} = \frac{24 + 1}{40} = \frac{25}{40} = \frac{5}{8} \]

4. Equation: \( x + \frac{9}{8} = \frac{7}{4} \)

   Solution: Convert \( \frac{7}{4} \) to have a denominator of 8: \[ \frac{7}{4} = \frac{14}{8} \] \[ x + \frac{9}{8} = \frac{14}{8} \] Now solve for \( x \): \[ x = \frac{14}{8} - \frac{9}{8} = \frac{14 - 9}{8} = \frac{5}{8} \]

Now we have the values of \( x \) for each equation:

1. From the first equation: \( x = -\frac{5}{8} \)
2. From the second equation: \( x = \frac{5}{8} \)
3. From the third equation: \( x = \frac{5}{8} \)
4. From the fourth equation: \( x = \frac{5}{8} \)

The equation that has a different value of \( x \) than the others is: \( x - \frac{7}{8} = -\frac{3}{2} \) with the solution \( x = -\frac{5}{8} \).

Answer 6

So is the answer 1, 2, 3, or 4

Answer 7

The answer is 1.

The equation \( x - \frac{7}{8} = -\frac{3}{2} \) has a different value of \( x \) compared to the other equations, which all yield \( x = \frac{5}{8} \).

Answer 8

Yuri and Trina sold boxes of cookies. Yuri sold 14 boxes, while Trina sold n boxes. Together, they sold a total of 37 boxes. Which equation represents the number of boxes Trina sold? How many boxes did she sell?(1 point)
Responses

n − 14 = 37; Trina sold 51 boxes.
n minus 14 equals 37 ; Trina sold 51 boxes.

n − 37 = 14; Trina sold 51 boxes.
n minus 37 equals 14 ; Trina sold 51 boxes.

n + 14 = 37; Trina sold 23 boxes.
n plus 14 equals 37 ; Trina sold 23 boxes.

n + 37 = 14; Trina sold 23 boxes.

Answer 9

To find the number of boxes Trina sold, we know the following:

• Yuri sold 14 boxes.
• Together, they sold a total of 37 boxes.

The equation representing the total boxes sold can be written as:

\[ 14 + n = 37 \]

To solve for \( n \), we rearrange the equation:

\[ n = 37 - 14 \] \[ n = 23 \]

So, Trina sold 23 boxes.

Now, looking at the options provided:

1. \( n - 14 = 37; \) Trina sold 51 boxes. (Incorrect)
2. \( n - 37 = 14; \) Trina sold 51 boxes. (Incorrect)
3. \( n + 14 = 37; \) Trina sold 23 boxes. (Correct)
4. \( n + 37 = 14; \) Trina sold 23 boxes. (Incorrect)

The correct answer is:

\( n + 14 = 37; \) Trina sold 23 boxes.

Answer 10

A slice of pizza costs $3.19 and a drink costs $x . The cost of a slice of pizza and a drink together is $5.61 . Complete and solve the equation that represents the cost of a drink.(1 point)
x + 3.19 = ____

             x = ____

Answer 11

To find the cost of the drink \( x \), we can set up the equation based on the information provided:

The total cost of a slice of pizza and a drink together is \( 5.61 \) dollars, and the price of the pizza slice is \( 3.19 \) dollars. This can be represented by the equation:

\[ x + 3.19 = 5.61 \]

Now, to solve for \( x \), we will subtract \( 3.19 \) from both sides of the equation:

\[ x = 5.61 - 3.19 \] \[ x = 2.42 \]

Now, we can fill in the blanks:

1. Complete the equation: \[ x + 3.19 = 5.61 \]

2. Solve for \( x \): \[ x = 2.42 \]

So, the final answers are:

• Equation: \( x + 3.19 = 5.61 \)
• Value of \( x \): \( x = 2.42 \)