Which of the following four equations has the solution of the lowest value?(1 point)
Responses
x + 25 = 2
x − 7 = 28
x − 6 = −16
x + 19 = −5
To find the solution with the lowest value, we need to solve each equation and compare the values of x.
1. x + 25 = 2
Subtract 25 from both sides: x = -23
2. x − 7 = 28
Add 7 to both sides: x = 35
3. x − 6 = −16
Add 6 to both sides: x = -10
4. x + 19 = −5
Subtract 19 from both sides: x = -24
Out of these four solutions, the lowest value is x = -24. So, the equation x + 19 = −5 has the solution of the lowest value.
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)
The equation that represents the number of boxes Trina sold is 14 + n = 37.
To solve for n, we can subtract 14 from both sides of the equation:
n = 37 - 14
n = 23
Trina sold 23 boxes of cookies.
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.
The equation that represents the cost of a drink is:
3.19 + x = 5.61
To solve for x, we can subtract 3.19 from both sides of the equation:
x = 5.61 - 3.19
x = 2.42
Therefore, the cost of a drink is $2.42.
If x/5 = 2 , then what is the value of x
?
To find the value of x, we can multiply both sides of the equation x/5 = 2 by 5:
5 * (x/5) = 5 * 2
This simplifies to:
x = 10
Therefore, the value of x is 10.
Which of the following pairs of equations has exactly the same solution?(1 point)
Responses
x/3.2 = 1.8 and 1.8 * x = 3.2
−3.2*x =0.64 and x/4=−0.05
−3/4x=5/2 and 5/2x=−3/4
3/8x=1 and 1/3x=1/8
To determine which pair of equations has exactly the same solution, we need to solve each pair and compare the solutions.
1. x/3.2 = 1.8 and 1.8 * x = 3.2
Solving the first equation:
Multiply both sides by 3.2: x = 1.8 * 3.2 = 5.76
Solving the second equation:
Divide both sides by 1.8: x = 3.2 / 1.8 = 1.777... ≈ 1.78
2. −3.2*x = 0.64 and x/4 = −0.05
Solving the first equation:
Divide both sides by -3.2: x = 0.64 / -3.2 = -0.2
Solving the second equation:
Multiply both sides by 4: x = -0.05 * 4 = -0.2
3. −3/4x = 5/2 and 5/2x = −3/4
Solving the first equation:
Multiply both sides by -4/3: x = (5/2) * (-4/3) = -10/3
Solving the second equation:
Divide both sides by 5/2: x = (-3/4) / (5/2) = -3/4 * 2/5 = -3/10
4. 3/8x = 1 and 1/3x = 1/8
Solving the first equation:
Multiply both sides by 8/3: x = 1 * (8/3) = 8/3
Solving the second equation:
Multiply both sides by 3/8: x = (1/8) * (3/8) = 3/64
Comparing the solutions, we can see that the pair of equations:
−3/4x = 5/2 and 5/2x = −3/4
has exactly the same solution of x = -10/3.
Therefore, the pair of equations −3/4x = 5/2 and 5/2x = −3/4 has exactly the same solution.
Which of the following equations has a different value of x than the others?(1 point)
Responses
x + 9/8 = 7/4
x plus Start Fraction 9 over 8 End Fraction equals Start Fraction 7 over 4 End Fraction
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