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Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #161 : Solving Equations

Solve for .

x-33.46=-87.3

Possible Answers:

-46.23

65.41

-53.84

21.10

98.56

Correct answer:

-53.84

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

x-33.46=-87.3

Add 33.46 to both sides of the equation.

x-33.46+33.46=-87.3+33.46

Solve.

x=-53.84

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Example Question #162 : Solving Equations

Solve for .

13x=728

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

13x=728

Divide both sides of the equation by .

$\frac{13x}{13}=\frac{728}{13}$

Solve.

x=56

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Example Question #163 : Solving Equations

Solve for .

-14x=504

Possible Answers:

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

-14x=504

Divide both sides of the equation by .

$\frac{-14x}{-14}=\frac{504}{-14}$

x=-36

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Example Question #164 : Solving Equations

Solve for .

-12.2x=-71.98

Possible Answers:

4.9

-4.9

5.9

5.4

-5.4

Correct answer:

5.9

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

-12.2x=-71.98

Divide both sides of the equation by -12.2 .

$\frac{-12.2x}{-12.2}=\frac{-71.98}{-12.2}$

Solve.

x=5.9

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Example Question #165 : Solving Equations

Solve for .

$\frac{x}{13}=108$

Possible Answers:

1404

1424

1624

1344

1144

Correct answer:

1404

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

$\frac{x}{13}=108$

Multiply both sides of the equation by .

$\frac{x}{13}\times13=108\times 13$

Solve.

x=1404

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Example Question #166 : Solving Equations

Solve for .

$\frac{4}{7}x=-532$

Possible Answers:

784

804

Correct answer:

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

$\frac{4}{7}x=-532$

Divide each side of the equation by $\frac{4}{7}$ .

Remember that dividing by a fraction is the same as multiplying by its reciprocal; therefore multiply each side of the equation by $\frac{7}{4}$ .

$\frac{4}{7}x\times\frac{7}{4}=-532\times\frac{7}{4}$

Solve.

x=-931

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Example Question #167 : Solving Equations

Solve for .

$-\frac{x}{3.45}=-9.99$

Possible Answers:

-33.9865

16.2235

-22.2965

34.4655

44.325

Correct answer:

34.4655

Explanation:

In order to solve this equation, we need to isolate the variable, , on the left side of the equals sign. We will do this by performing the same operations on both sides of the equation.

$-\frac{x}{3.45}=-9.99$

Multiply each side of the equation by -3.45 .

$-\frac{x}{3.45}\times-3.45=-9.99\times-3.45$

Solve.

x=34.4655

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Example Question #161 : Solving Equations

Find the zeros of x^2+9x+20

Possible Answers:

x=9,1

x=-2,-10

x=4,5

x=-5,-4

x=2,10

Correct answer:

x=-5,-4

Explanation:

The equation can be factored into (x+4)(x+5) .

Set the factored equation equal to zero and the only two values that make the expression true are x=-4 and x=-5

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Example Question #169 : Solving Equations

Solve for .

4x+67=98

Possible Answers:

10.25

7.75

6.25

Correct answer:

7.75

Explanation:

To solve for the variable we want to isolate it on one side of the equation with all other constants on the other side. To do this, we will need to perform opposite operations to manipulate the equation.

4x+67=98

First subtract on both sides.

4x=31

Next divide on both sides.

x=7.75

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Example Question #162 : Solving Equations

Solve for .

x+178.7=205

Possible Answers:

269.4

198.4

26.3

383.7

43.1

Correct answer:

26.3

Explanation:

To solve for the variable isolate it on one side of the equation by moving all other constants to the other side. To do this, perform opposite operations to manipulate the equation.

x+178.7=205

Subtract 178.7 on both sides.

x=26.3

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Algebra II : Solving Equations

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #161 : Solving Equations

Example Question #162 : Solving Equations

Example Question #163 : Solving Equations

Example Question #164 : Solving Equations

Example Question #165 : Solving Equations

Example Question #166 : Solving Equations

Example Question #167 : Solving Equations

Example Question #161 : Solving Equations

Example Question #169 : Solving Equations

Example Question #162 : Solving Equations

All Algebra II Resources

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