Question 1
Question 2
Question 3
A)
Multiple Choice
Is –7 + 9 = –9 + 7 true, false, or open?
(1 point)
true
false
open
A)
Is 4x – 3 = 19 true, false, or open?
(1 point)
true
false
open
A)
Which of the following is a solution to the equation 16 = 4x – 4?
(1 point)
–5
–4
5
16
Question 4
Question 5
A)
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?
(1 point)
17.5 in
20.5 in
83.6 in
100.8 in
A)
Use mental math to determine the solution to = 24.
(1 point)
x = 6
x = 8
x = 27
x = 72
Step 1: Let's start with Question 1.
Question 1: Multiple Choice
Is -7 + 9 = -9 + 7 true, false, or open?
Options:
true
false
open
The correct answer is true.
Step 2: Let's move on to Question 2.
Question 2: Multiple Choice
Is 4x - 3 = 19 true, false, or open?
Options:
true
false
open
The correct answer is false.
Step 3: Now let's move to Question 3.
Question 3: Multiple Choice
Which of the following is a solution to the equation 16 = 4x - 4?
Options:
-5
-4
5
16
To find the solution, we can solve the equation:
16 = 4x - 4
Adding 4 to both sides, we get:
20 = 4x
Dividing both sides by 4, we get:
x = 5
Therefore, the correct answer is 5.
Step 4: Let's move on to Question 4.
Question 4: Multiple Choice
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?
Options:
17.5 in
20.5 in
83.6 in
100.8 in
To find the width of the model, we can set up the equation:
Width = x
Length = 2.4x
Given that the length of the student's model is 42 inches, we can set up the equation:
2.4x = 42
Dividing both sides by 2.4, we get:
x = 42 / 2.4
Calculating the value, we find:
x ≈ 17.5
Therefore, the width of the model should be approximately 17.5 inches.
Step 5: Finally, let's move to Question 5.
Question 5: Multiple Choice
Use mental math to determine the solution to x = 24.
Options:
x = 6
x = 8
x = 27
x = 72
Using mental math, the solution to x = 24 is x = 24.
Therefore, the correct answer is x = 24.
I hope this helps! Let me know if you have any further questions.
Question 1:
To determine if -7 + 9 = -9 + 7 is true, false, or open, you can use basic arithmetic.
-7 + 9 equals 2, and -9 + 7 also equals 2. Since both sides of the equation are equal, the statement is true.
Question 2:
To determine if 4x - 3 = 19 is true, false, or open, you need to solve the equation for x.
First, add 3 to both sides of the equation: 4x = 22.
Then, divide both sides by 4: x = 5.5.
Since x = 5.5 satisfies the equation, the statement is true.
Question 3:
To find the solution to the equation 16 = 4x - 4, you can solve for x.
First, add 4 to both sides of the equation: 20 = 4x.
Then, divide both sides by 4: x = 5.
So, x = 5 is a solution to the equation.
Question 4:
To determine the width of the model given that the length of the classroom is 2.4 times its width and the length of the model is 42 in, you need to set up an equation.
Let's say the width of the classroom is w.
Then, the length of the classroom is 2.4w.
Since the length of the model is 42 in, you can set up the equation: 2.4w = 42.
To solve for w, divide both sides of the equation by 2.4: w = 42/2.4 = 17.5 in.
Question 5:
To use mental math to determine the solution to x/3 = 24, you can multiply both sides of the equation by 3 to eliminate the denominator.
This gives you x = 3 * 24 = 72.
So, x = 72 is the solution.
Question 1: Open (there is an equal sign, but no values are provided to determine if it is true or false)
Question 2: False (4x - 3 does not equal 19)
Question 3: -5 (substitute values into the equation to solve for x)
Question 4: 20.5 in (divide 42 in by 2.4 to find the width)
Question 5: x = 6 (24 divided by 4 is equal to 6)