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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

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10 Diagnostic Tests 557 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #771 : Linear Equations

Solve for .

-1.2x+9.1=22.3

Possible Answers:

-10.8

-13.2

-14.4

Correct answer:

Explanation:

-1.2x+9.1=22.3 Subtract 9.1 on both sides.

-1.2x=13.2 Divide -1.2 on both sides.

x=-11

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Example Question #771 : Linear Equations

Solve for .

$\frac{x}{2}-34=-13$

Possible Answers:

Correct answer:

Explanation:

$\frac{x}{2}-34=-13$ Add on both sides. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

$\frac{x}{2}=21$ Multiply on both sides.

x=42

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Example Question #241 : How To Solve Two Step Equations

Solve for .

$\frac{13x}{9}+45=129$

Possible Answers:

$\frac{965}{13}$

$\frac{1204}{9}$

$\frac{756}{13}$

$\frac{1092}{13}$

$\frac{723}{13}$

Correct answer:

$\frac{756}{13}$

Explanation:

$\frac{13x}{9}+45=129$ Subtract on both sides.

$\frac{13x}{9}=84$ Multiply $\frac{9}{13}$ on both sides.

$x=\frac{756}{13}$

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Example Question #776 : Linear Equations

Solve for .

$\frac{9x}{11}-83=-21$

Possible Answers:

$-\frac{478}{9}$

$\frac{558}{11}$

$\frac{-712}{9}$

$\frac{682}{9}$

$-\frac{558}{11}$

Correct answer:

$\frac{682}{9}$

Explanation:

$\frac{9x}{11}-83=-21$ Add on both sides. Since is greater than and is positive, our answer is positive. We treat as a normal subtraction.

$\frac{9x}{11}=62$ Multply $\frac{11}{9}$ on both sides.

$x=\frac{682}{9}$

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Example Question #777 : Linear Equations

Solve for x in the following equation:

18x - 4 = 14

Possible Answers:

x = -1

x = 1

x = 10

x = -4

x = 14

Correct answer:

x = 1

Explanation:

To solve for x, we need to get x to stand alone. Given the equation

18x - 4 = 14

we will first add 4 to both sides. So,

18x - 4 + 4 = 14 + 4

18x = 18

Now, we will divide both sides by 18. We get

$\frac{18x}{18} = \frac{18}{18}$

x = 1

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Example Question #778 : Linear Equations

Solve: 6-x = 19

Possible Answers:

$-\frac{13}{2}$

$-\frac{19}{6}$

$\frac{19}{6}$

Correct answer:

Explanation:

To isolate the x variable, we can add the variable to move it to the right side of the equation.

6-x +x= 19+x

Simplify both sides.

6= 19+x

Subtract 19 from both sides to move the 19 to the left side of the equation.

-13=x

The answer is:

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Example Question #773 : Algebra 1

Solve: 10-x = 30

Possible Answers:

Correct answer:

Explanation:

Add the variable on both sides to move the variable to the right side of the equation.

10-x +(x) = 30+(x) .

Simplify both sides.

10=30+x

Subtract thirty on both sides.

-20=x

The answer is:

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Example Question #780 : Linear Equations

Solve: 5x+8 = -37

Possible Answers:

$\frac{29}{5}$

$-\frac{29}{5}$

Correct answer:

Explanation:

Subtract eight from both sides.

5x+8-8 = -37-8

Simplify.

5x=-45

Divide by five on both sides.

$\frac{5x}{5}=\frac{-45}{5}$

Simplify both sides of the equation.

$x=-\frac{45}{5}=-9$

The answer is:

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Example Question #781 : Linear Equations

Solve the following equation: $\frac{1}{3}x-\frac{3}{4} = \frac{3}{5}$

Possible Answers:

$\frac{17}{20}$

$\frac{7}{2}$

$\frac{24}{11}$

$\frac{61}{20}$

$\frac{81}{20}$

Correct answer:

$\frac{81}{20}$

Explanation:

Add three-fourths from both sides.

$\frac{1}{3}x-\frac{3}{4}+(\frac{3}{4}) = \frac{3}{5}+(\frac{3}{4})$

Simplify both sides.

$\frac{1}{3}x= \frac{3}{5}+\frac{3}{4}$

In order add fractions on the right side, the denominators must be the same. Convert the two fractions by their least common denominator.

$\frac{1}{3}x= \frac{3 \times 4}{5 \times 4}+\frac{3 \times 5}{4 \times 5}$

$\frac{1}{3}x= \frac{12}{20}+\frac{15}{20}$

Add the fractions.

$\frac{1}{3}x= \frac{27}{20}$

Multiply by three on both sides to isolate .

$\frac{1}{3}x\times 3= \frac{27}{20}\times 3$

$x=\frac{81}{20}$

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Example Question #782 : Linear Equations

Solve the following equation for

12x-33=3

Possible Answers:

x=6

x=12

x=3

x=-3

x=36

Correct answer:

x=3

Explanation:

12x-33=3

Add to both sides of the equation.

12x-33+33=3+33

12x=36

Divde both sides by .

$\frac{12x}{12}=\frac{36}{12 }$

x=3

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Algebra 1 : How to solve two-step equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #771 : Linear Equations

Example Question #771 : Linear Equations

Example Question #241 : How To Solve Two Step Equations

Example Question #776 : Linear Equations

Example Question #777 : Linear Equations

Example Question #778 : Linear Equations

Example Question #773 : Algebra 1

Example Question #780 : Linear Equations

Example Question #781 : Linear Equations

Example Question #782 : Linear Equations

All Algebra 1 Resources

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