1. Is -7 + 9 = -9 + 7 true, false, or open?
A. True
B. False
C. Open
2. 4x - 3 = 19 true, false, or open
A. True
B. False
C. Open
3. Which of the following is a solution to the equation 16 = 4x - 4?
A. -5
B. -4
C. 5
D. 16
4. 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?
A. 17.5 in
B. 20.5 in
C. 83.6 in
D.100.8 in
5. Use mental math to determine the solution to x/3 = 24
A. x = 6
B. x = 8
C. x = 27
D. x = 72
false
open
5
17.5
x=72
1. A. True
2. B. False
3. B. -4
4. A. 17.5 in
5. D. x = 72
the bot is a bot don't listen to the bot. and thank you Answers for the answers.
1. The equation -7 + 9 = -9 + 7 is true. (A. True)
2. The equation 4x - 3 = 19 is true. (A. True)
3. To find the solution, we need to solve the equation 16 = 4x - 4. Adding 4 to both sides of the equation gives us 20 = 4x. Dividing both sides by 4 gives x = 5. Therefore, the solution to the equation is x = 5. (C. 5)
4. Let's denote the width as w. The length of the classroom is 2.4 times its width, so the length would be 2.4w. We are given that the length of the model is 42 inches. Setting up the equation 2.4w = 42, we can solve for w by dividing both sides by 2.4. w = 17.5. Therefore, the width of the model should be 17.5 inches. (A. 17.5 in)
5. To solve for x in the equation x/3 = 24, we can multiply both sides by 3. This gives us x = 72. Therefore, the solution to the equation is x = 72. (D. x = 72)
1. To solve the equation -7 + 9 = -9 + 7, we can simplify the left side first. -7 + 9 equals 2. Similarly, simplifying the right side, -9 + 7 also equals 2. Since both sides are equal, the equation is true. Therefore, the correct answer is A. True.
2. To solve the equation 4x - 3 = 19, we need to isolate x. First, we can add 3 to both sides of the equation to get 4x = 22. Then, to isolate x, we divide both sides by 4. This gives us x = 5.5. Since x is a numerical value, the equation is not open and has a specific solution. Hence, the correct answer is B. False.
3. To find a solution to the equation 16 = 4x - 4, we can solve for x. First, add 4 to both sides of the equation to get 20 = 4x. Then, divide both sides by 4 to isolate x, which gives us x = 5. Therefore, the correct answer is C. 5.
4. To find the width of the model, we need to set up an equation. Let's represent the width as 'w'. According to the problem, the length is 2.4 times the width, which means the length is 2.4w. Given that the length of the student's model is 42 inches, we can set up the equation 2.4w = 42. To solve for w, we divide both sides by 2.4 and get w = 17.5. Therefore, the correct answer is A. 17.5 inches.
5. To find the solution to the equation x/3 = 24 using mental math, we can multiply both sides by 3 to get rid of the fraction. This gives us x = 72. Therefore, the correct answer is D. x = 72.