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Algebra 1 : How to solve one-step equations

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Example Questions

Example Question #21 : How To Solve One Step Equations

Solve for $\displaystyle x$.

x+5=6 $\displaystyle x+5=6$

Possible Answers:

$\displaystyle 0$

$\displaystyle 1$

$\displaystyle 13$

$\displaystyle -1$

$\displaystyle 11$

Correct answer:

$\displaystyle 1$

Explanation:

To isolate $\displaystyle x$, we just subtract $\displaystyle 5$ on both sides.

The left side will just be $\displaystyle x$.

We have

x=6-5=1 $\displaystyle x=6-5=1$.

x=1 $\displaystyle x=1$.

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Example Question #22 : How To Solve One Step Equations

Solve for $\displaystyle x$.

x-9=18 $\displaystyle x-9=18$

Possible Answers:

$\displaystyle 27$

$\displaystyle 9$

$\displaystyle 19$

$\displaystyle 16$

$\displaystyle 18$

Correct answer:

$\displaystyle 27$

Explanation:

To isolate $\displaystyle x$, we just add $\displaystyle 9$ on both sides.

The left side will just be $\displaystyle x$.

We have

$\displaystyle x=18+9=27$.

x=27 $\displaystyle x=27$.

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Example Question #23 : How To Solve One Step Equations

Solve for $\displaystyle q$.

12+q=10 $\displaystyle 12+q=10$

Possible Answers:

$\displaystyle 10$

$\displaystyle -2$

$\displaystyle 2$

$\displaystyle 22$

$\displaystyle 8$

Correct answer:

$\displaystyle -2$

Explanation:

To isolate $\displaystyle q$, we just subtract $\displaystyle 12$ on both sides. The left side will just be $\displaystyle q$. We have $\displaystyle q=10-12=-2$.

Remember, to deal with this strange subtraction, compare the values. $\displaystyle 12$ is greater than $\displaystyle 10$ and it's negative so the answer must be negative. We would proceed as a normal subtraction but later add the minus sign.

q=-2 $\displaystyle q=-2$.

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Example Question #24 : How To Solve One Step Equations

Solve for $\displaystyle q$.

q-3=-1 $\displaystyle q-3=-1$

Possible Answers:

$\displaystyle 3$

$\displaystyle -2$

$\displaystyle 2$

$\displaystyle 4$

$\displaystyle -4$

Correct answer:

$\displaystyle 2$

Explanation:

To isolate $\displaystyle q$, we just add $\displaystyle 3$ on both sides. The left side will just be $\displaystyle q$. We have $\displaystyle q=-1+3=2$.

Remember, to deal with this strange addition, compare the values. $\displaystyle 3$ is greater than $\displaystyle 1$ and it's positie so the answer must be positive. We would proceed as a normal subtraction but later add the plus sign which is usually ignored.

q=2 $\displaystyle q=2$.

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Example Question #25 : How To Solve One Step Equations

Solve for $\displaystyle w$.

3w=9 $\displaystyle 3w=9$

Possible Answers:

$\displaystyle 4$

$\displaystyle 1$

$\displaystyle 2$

$\displaystyle 9$

$\displaystyle 3$

Correct answer:

$\displaystyle 3$

Explanation:

To isolate $\displaystyle w$, we just divide $\displaystyle 3$ on both sides.

The left side will just be $\displaystyle w$.

We have

$w=\frac{9}{3}=3$ $\displaystyle w=\frac{9}{3}=3$.

w=3 $\displaystyle w=3$.

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Example Question #26 : How To Solve One Step Equations

Solve for $\displaystyle w$.

4w=9 $\displaystyle 4w=9$

Possible Answers:

$\frac{4}{9}$ $\displaystyle \frac{4}{9}$

$\frac{3}{2}$ $\displaystyle \frac{3}{2}$

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$

$\displaystyle 2$

$\frac{9}{4}$ $\displaystyle \frac{9}{4}$

Correct answer:

$\frac{9}{4}$ $\displaystyle \frac{9}{4}$

Explanation:

To isolate $\displaystyle w$, we just divide $\displaystyle 4$ on both sides.

The left side will just be $\displaystyle w$.

We have

$w=\frac{9}{4}$ $\displaystyle w=\frac{9}{4}$.

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Example Question #27 : How To Solve One Step Equations

Solve for $\displaystyle w$.

$\frac{w}{3}=6$ $\displaystyle \frac{w}{3}=6$

Possible Answers:

$\displaystyle 7$

$\displaystyle 9$

$\displaystyle 18$

$\displaystyle 1$

$\displaystyle 2$

Correct answer:

$\displaystyle 18$

Explanation:

To isolate $\displaystyle w$, we just cross-multiply.

$\frac{w}{3}=\frac{6}{1}$ $\displaystyle \frac{w}{3}=\frac{6}{1}$

$w\cdot 1=6\cdot 3$ $\displaystyle w\cdot 1=6\cdot 3$

We will have

$w=3\cdot 6=18$ $\displaystyle w=3\cdot 6=18$.

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Example Question #28 : How To Solve One Step Equations

Solve for $\displaystyle w$.

$\frac{3}{w}=8$ $\displaystyle \frac{3}{w}=8$

Possible Answers:

$\displaystyle 24$

$\frac{8}{3}$ $\displaystyle \frac{8}{3}$

$\displaystyle 11$

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

$\displaystyle 5$

Correct answer:

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$

Explanation:

To isolate $\displaystyle w$, we just cross-multiply.

$\frac{3}{w}=\frac{8}{1}$ $\displaystyle \frac{3}{w}=\frac{8}{1}$

$3\cdot 1=8\cdot w$ $\displaystyle 3\cdot 1=8\cdot w$

We will have

8w=3 $\displaystyle 8w=3$.

We divide both sides by $\displaystyle 8$.

The left side is $\displaystyle w$. The right side is

$w=\frac{3}{8}$ $\displaystyle w=\frac{3}{8}$.

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Example Question #29 : How To Solve One Step Equations

Solve for $\displaystyle w$.

$\frac{w}{\frac{1}{2}}=8$ $\displaystyle \frac{w}{\frac{1}{2}}=8$

Possible Answers:

$\displaystyle 10$

$\displaystyle 7$

$\displaystyle 16$

$\displaystyle 4$

$\displaystyle 2$

Correct answer:

$\displaystyle 4$

Explanation:

To isolate $\displaystyle w$, we just cross-multiply.

$\frac{w}{\frac{1}{2}}=\frac{8}{1}$ $\displaystyle \frac{w}{\frac{1}{2}}=\frac{8}{1}$

$w\cdot 1=\frac{1}{2}\cdot 8$ $\displaystyle w\cdot 1=\frac{1}{2}\cdot 8$

We will have

$w=\frac{1}{2}\cdot 8=4$ $\displaystyle w=\frac{1}{2}\cdot 8=4$.

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Example Question #30 : How To Solve One Step Equations

Solve for $\displaystyle w$.

w-8=3+7 $\displaystyle w-8=3+7$

Possible Answers:

$\displaystyle 2$

$\displaystyle 18$

$\displaystyle 12$

$\displaystyle 10$

$\displaystyle 11$

Correct answer:

$\displaystyle 18$

Explanation:

To isolate $\displaystyle w$, first we add the right side which is $\displaystyle 10$.

Then, we add $\displaystyle 8$ on both sides.

The left we have $\displaystyle w$.

On the right, we have

$\displaystyle w=8+10=18$.

w=18 $\displaystyle w=18$

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Algebra 1 : How to solve one-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #21 : How To Solve One Step Equations

Example Question #22 : How To Solve One Step Equations

Example Question #23 : How To Solve One Step Equations

Example Question #24 : How To Solve One Step Equations

Example Question #25 : How To Solve One Step Equations

Example Question #26 : How To Solve One Step Equations

Example Question #27 : How To Solve One Step Equations

Example Question #28 : How To Solve One Step Equations

Example Question #29 : How To Solve One Step Equations

Example Question #30 : How To Solve One Step Equations

All Algebra 1 Resources

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