Question

The model shown can be used to solve the equation 2x + 2 = 10.
Which model shows a step in solving this equation?
A.
B.
C.
D.

Answer 1

Which value for x makes the sentence true?
3x - 9 = -24
A. -6
B. -10
C. -11
D. -5

Answer 2

The model shown represents the equation 2x + 3 = 11. What is the first step in finding the value of x?
A.
B.
C.
D.

Answer 3

Which of the following can be represented by the equation below?

417 = 74h + 47
A. Rita is driving 417 miles total, she has already driven 74 miles, and she drives 47 miles each hour, h.
B. Rita is driving 47 miles total, she has already driven 74 miles, and she drives 417 miles each hour, h.
C. Rita is driving 74 miles total, she has already driven 47 miles, and she drives 417 miles each hour, h.
D.Rita is driving 417 miles total, she has already driven 47 miles, and she drives 74 miles each hour, h.

Answer 4

Which value for x makes the following equation true?
2x + 4 = 14
A. 6
B. 5
C. 7
D. 10

Answer 5

C.

Answer 6

The correct value for x that makes the equation 3x - 9 = -24 true is A. -6.

To verify:
3(-6) - 9 = -24
-18 - 9 = -24
-27 = -24 (true)

Answer 7

To solve the equation 2x + 3 = 11, the first step in finding the value of x is to isolate x by subtracting 3 from both sides of the equation.

Therefore, the first step is shown in option: B.

Answer 8

The equation 417 = 74h + 47 can be represented by the statement:

D. Rita is driving 417 miles total, she has already driven 47 miles, and she drives 74 miles each hour, h.

This is because the equation states that the total distance driven (417 miles) is equal to the sum of the initial distance driven (47 miles) and the product of the miles driven per hour (74 miles/hour) and the number of hours driven (h).

Answer 9

To find the value of x that makes the equation 2x + 4 = 14 true, we need to isolate x.

Subtracting 4 from both sides, we get:
2x = 10

Then, dividing by 2 on both sides gives us:
x = 5

Therefore, the value of x that makes the equation true is B. 5.