Question 1

What is the solution for $$a in $$the equation $$4a + 4 = 40$$?

Accepted Answer

Question 2

Solve for $$a in $$the equation $$\frac{a}{6} = 7.$$

Accepted Answer

$$a = 42$$

Question 3

Which of the following is the correct first step to isolate $$a in $$the equation $$4a + 4 = 40$$?

Accepted Answer

Subtract 4 from both sides

Question 4

If $$a$$ represents the number of moles of a substance and $$\frac{a}{6} = 7$$, how many moles are present?

Accepted Answer

$$a = 42$$ moles

Question 5

Solve for $$b in $$the equation $$2b + 7 = b + 10.$$

Accepted Answer

$$b = 3$$

Question 6

What is the value of $$b in $$the equation $$3b - 4 = 24 - b$$?

Accepted Answer

$$b = 7$$

Question 7

Which of the following best describes the process to solve $$2b + 7 = b + 10$$ for $$b$$?

Accepted Answer

Subtract $$b$$ from both sides, then subtract 7 from both sides

Question 8

A chemist needs to prepare a solution where the number of moles $$a$$ satisfies $$\frac{a}{6} = 7. $$What is the correct calculation for $$a$$?

Accepted Answer

$$a = 6 	imes 7$$

Question 9

If $$3b - 4 = 24 - b$$, what is the first step to solve for $$b$$?

Accepted Answer

Add $$b to $$both sides

Question 10

A student solves $$4a + 4 = 40$$ and gets $$a = 9. $$What mistake did they likely make?

Accepted Answer

They subtracted 4 from both sides but did not divide by 4

Question 11

Which equation is equivalent to $$2b + 7 = b + 10$$ after moving all terms involving $$b to $$one side?

Accepted Answer

$$b + 7 = 10$$

Question 12

If $$a is $$the number of grams of a reactant and $$\frac{a}{6} = 7$$, what is the total mass of the reactant?

Accepted Answer

$$a = 42$$ grams

Question 13

Which of the following is the correct rearrangement of $$3b - 4 = 24 - b to $$collect all $$b$$ terms on one side?

Accepted Answer

$$3b + b = 24 + 4$$

Question 14

A patient receives a medication dose calculated by $$2b + 7 = b + 10$$, where $$b is $$the number of tablets. How many tablets should the patient receive?

Accepted Answer

3 tablets

Question 15

If $$3b - 4 = 24 - b$$, what is the value of $$b$$ after solving the equation?

Accepted Answer

$$b = 7$$

Solving Linear Equations: Foundational Skills for GOB Chemistry

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