High School

1. Is \(-7 + 9 = -9 + 7\) true, false, or open?

A. True
B. False
C. Open

2. Is \(4x - 3 = 19\) 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 \(x - 3 = 10\).

A. \(x = 7\)
B. \(x = 13\)
C. \(x = 30\)
D. \(x = 0\)

Answer :

The answer of the following mathematical expressions are,

1. True

2. False

3. C. 5

4. A. 17.5 in

5. B. x = 13

Let's go through each of the expression ,

Is -7 + 9 = -9 + 7 true, false, or open?

It is option A. True

Both sides of the equation simplify to 2, so the equation is true.

Is 4x - 3 = 19 true, false, or open?

It is option B. False

When you solve for x, you get 4x = 22, and then x = 5.5. Therefore, the equation is false.

Which of the following is a solution to the equation 16 = 4x - 4?

The value of x is option C. 5

When you solve for x, you get 4x = 20, and then x = 5. So, x = 5 is a solution to the equation.

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 inches. What should the width of the model be?

The width is equal to option A. 17.5 inches

If the length is 2.4 times the width, then the width should be 42 inches / 2.4 = 17.5 inches.

Use mental math to determine the solution to x - 3 = 10.

the value of x is option B. x = 13

Adding 3 to both sides of the equation gives x = 10 + 3, which is x = 13.

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1. -7 + 9= -9 + 7 is false
2. Is 4x - 3 = 19 is open, because this could be a valid equation.
3. 16 = 4x - 4
So, 16+4=4x; 4x=20; x=20/4; x=5..... option C is the correct one.
4. length of the classroom is 2.4 times its width.
given length = 42 in, and since length = 2.4 times width, width = 42/2.4,
hence option A) 17.5 in is correct
5. x - 3 = 10
x = 10+3 =13
Option B is the right one.