Question 1

Which property is first used to begin solving the equation $$7x - 4 = 8 + 3x$$?

Accepted Answer

The addition property of equality

Question 2

What is the result after adding 4 to both sides of the equation $$7x - 4 = 8 + 3x$$?

Accepted Answer

$$7x = 3x + 12$$

Question 3

After simplifying $$7x - 4 + 4 = 8 + 3x + 4$$, what is the next step to isolate $$x$$?

Accepted Answer

Subtract $$3x$$ from both sides

Question 4

What equation do you get after subtracting $$3x$$ from both sides of $$7x = 3x + 12$$?

Accepted Answer

$$4x = 12$$

Question 5

What is the solution to the equation $$4x = 12$$?

Accepted Answer

$$x = 3$$

Question 6

How do you check if $$x = 3 is a $$solution to $$7x - 4 = 8 + 3x$$?

Accepted Answer

Substitute $$x = 3$$ into the original equation and verify both sides are equal

Question 7

What is the value of $$7(3) - 4$$?

Accepted Answer

$$17$$

Question 8

What is the value of $$8 + 3(3)$$?

Accepted Answer

$$17$$

Question 9

Which of the following best describes the solution set for $$7x - 4 = 8 + 3x$$?

Accepted Answer

$$\{3\}$$

Question 10

If the equation was $$7x - 4 = 8 + 2x$$, what would be the value of $$x$$?

Accepted Answer

$$x = 2.4$$

Question 11

Which step is necessary to solve any linear equation of the form $$ax + b = cx + d$$?

Accepted Answer

Move all variable terms to one side and constants to the other

Question 12

A chemist needs to solve $$7x - 4 = 8 + 3x to $$determine the amount of a substance. What is the correct amount?

Accepted Answer

$$3$$ units

Question 13

If $$x$$ represents the number of years since a company was founded, and $$7x - 4 = 8 + 3x$$ models its profit, after how many years does the profit reach the target?

Accepted Answer

$$3$$ years

Question 14

Which of the following is a common mistake when solving $$7x - 4 = 8 + 3x$$?

Accepted Answer

Failing to move all variable terms to one side

Question 15

If you subtract $$7x$$ from both sides of $$7x - 4 = 8 + 3x$$, what equation do you get?

Accepted Answer

$$-4 = 8 - 4x$$

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