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Lesson Example Discussion Quiz: Class Homework

Step-2

Title: Linear Equations with One Variable

Grade: 10-a Lesson: S1-L1

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the value of x which satisfies the equation 0.5x + 3 equals 7.5.
2	Step	Move the constant term to the right side and simplify the equation	0.5x = 7.5 - 3 ⇒ 0.5x = 4.5
3	Step	Solve for x value	⇒ \$ x = (4.5)/(0.5) \$ ⇒ x = 9
4	Choice.A	If we substitute x = 6 into the equation 0.5x + 3 = 7.5, we get 0.5(6) + 3 = 6 + 3 = 9, which is not equal to 7.5. Therefore, option A is incorrect	\$ x = 6 \$
5	Choice.B	If we substitute x=18 into the equation 0.5x + 3 = 7.5, we get 0.5(18) + 3 = 9 + 3 = 12, which is not equal to 7.5. Therefore, option B is incorrect	\$x = 18\$
6	Choice.C	If we substitute x = 9 into the equation 0.5x + 3 = 7.5, we get 0.5(9) + 3 = 4.5 + 3 = 7.5, which is equal to 7.5. Therefore, option C is correct	\$x = 9\$
7	Choice.D	If we substitute x = 3 into the equation 0.5x + 3 = 7.5, we get 0.5(3) + 3 = 1.5 + 3 = 4.5, which is not equal to 7.5. Therefore, option D is incorrect	\$x = 3\$
8	Answer	Option	C
9	Sumup	Can you summarize what you’ve understood in the above steps?

Step

Type

Explanation

Answer

Problem

Find the value of x which satisfies the equation 0.5x + 3 equals 7.5.

Step

Move the constant term to the right side and simplify the equation

0.5x = 7.5 - 3

⇒ 0.5x = 4.5

Step

Solve for x value

⇒ \$ x = (4.5)/(0.5) \$

⇒ x = 9

Choice.A

If we substitute x = 6 into the equation 0.5x + 3 = 7.5, we get 0.5(6) + 3 = 6 + 3 = 9, which is not equal to 7.5. Therefore, option A is incorrect

\$ x = 6 \$

Choice.B

If we substitute x=18 into the equation 0.5x + 3 = 7.5, we get 0.5(18) + 3 = 9 + 3 = 12, which is not equal to 7.5. Therefore, option B is incorrect

\$x = 18\$

Choice.C

If we substitute x = 9 into the equation 0.5x + 3 = 7.5, we get 0.5(9) + 3 = 4.5 + 3 = 7.5, which is equal to 7.5. Therefore, option C is correct

\$x = 9\$

Choice.D

If we substitute x = 3 into the equation 0.5x + 3 = 7.5, we get 0.5(3) + 3 = 1.5 + 3 = 4.5, which is not equal to 7.5. Therefore, option D is incorrect

\$x = 3\$

Answer

Option

Sumup

Can you summarize what you’ve understood in the above steps?