Multiple Choice
Is –7 + 9 = –9 + 7 true, false, or open?
(1 point)
true
Is 4x – 3 = 19 true, false, or open?
open
Which of the following is a solution to the equation 16 = 4x – 4?
To find the solution to the equation 16 = 4x - 4, we need to isolate the variable x.
Adding 4 to both sides of the equation, we have:
16 + 4 = 4x
Simplifying the left side of the equation gives us:
20 = 4x
Now, to solve for x, we divide both sides of the equation by 4:
20/4 = 4x/4
5 = x
Therefore, the solution to the equation 16 = 4x - 4 is x = 5.
An art student wants to make a model of the classroom. The length of the classroom is 2.4 times its width. The length of the student’s model is 42 in. What should the width of the model be?
Let's assign a variable to represent the width of the classroom.
Let's call the width x.
According to the given information, the length of the classroom is 2.4 times its width.
So, the length would be 2.4x.
The length of the student's model is given as 42 inches.
We can set up an equation using this information:
2.4x = 42
To find the value of x, we need to divide both sides of the equation by 2.4:
(2.4x) / 2.4 = 42 / 2.4
x = 17.5
Therefore, the width of the model should be 17.5 inches.
Use mental math to determine the solution to start fraction x over 3 end fraction = 24.
To determine the solution to the equation x/3 = 24, we need to solve for x.
To do this mentally, we can multiply both sides of the equation by 3 to isolate x:
(x/3) * 3 = 24 * 3
Since multiplying a fraction by its denominator cancels out the fraction, we are left with:
x = 72
Therefore, the solution to the equation x/3 = 24 is x = 72.
To determine if the equation –7 + 9 = –9 + 7 is true, false, or open, we can simplify both sides of the equation and compare the results.
On the left-hand side:
-7 + 9 = 2
On the right-hand side:
-9 + 7 = -2
Since 2 is not equal to -2, we can conclude that the equation –7 + 9 = –9 + 7 is false. Therefore, the answer is "false".