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Algebra 1 : How to solve two-step equations

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Example Questions

Example Question #141 : How To Solve Two Step Equations

Solve for .

$\frac{x}{3}+4=16$

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{x}{3}+4=16$

Subtract both sides by .

$\frac{x}{3}=12$

Multiply both sides by .

x=36

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Example Question #142 : How To Solve Two Step Equations

Solve for .

$\frac{w}{4}+12=3$

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{w}{4}+12=3$

Subtract both sides by . Remember since is greater than and is negative, our answer is negative. We treat as a normal subtraction.

$\frac{w}{4}=-9$

Multiply both sides by . When multiplying with a negative number, our answer becomes negative.

w=-36

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Example Question #143 : How To Solve Two Step Equations

Solve for .

$\frac{o}{7}+3=-5$

Possible Answers:

$\frac{7}{8}$

$\frac{-8}{7}$

$\frac{8}{7}$

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{o}{7}+3=-5$

Subtract both sides by . When subtracting with another negative number, we treat as an addition problem and just add the negative sign afterwards.

$\frac{o}{7}=-8$

Multiply both sides by . When multiplying with a negative number, our answer is negative.

o=-56

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Example Question #144 : How To Solve Two Step Equations

Solve for .

$\frac{x}{2}-5=7$

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{x}{2}-5=7$

Add both sides by .

$\frac{x}{2}=12$

Multiply both sides by .

x=24

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Example Question #145 : How To Solve Two Step Equations

Solve for .

$\frac{x}{3}-7=-8$

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{x}{3}-7=-8$

Add to both sides. Since is greater than and is negative, our answer is negaive. We treat as a normal subtraction problem.

$\frac{x}{3}=-1$

Multiply both sides by . When multiplying with a negative number, our answer is negative.

x=-3

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Example Question #146 : How To Solve Two Step Equations

Solve for .

$\frac{y}{-8}-7=-9$

Possible Answers:

Correct answer:

Explanation:

In order to solve the equation, we have to isolate the variable. We do this by performing the same operation to either side of the equation.

$\frac{y}{-8}-7=-9$

Add to both sides. Since is greater than and is negative, our answer is negative. We treat as a subtraction problem.

$\frac{y}{-8}=-2$

Multiply both sides by . When multiplying with another negative number, our answer is positive.

y=16

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Example Question #147 : How To Solve Two Step Equations

What is the result of the expression, $87000\cdot 0.0000746$ , in scientific notation?

Possible Answers:

$8.7\cdot7.46$

6.49

$6.49\cdot 10^2$

$64.90 \cdot 10^2$

64.90

Correct answer:

6.49

Explanation:

The question asks for the scientific notation of the product of $87000\cdot 0.0000746$ .

To condense and create an equation we can first put the expression into scientific notation.

$(8.7\cdot 10^4)(7.46\cdot 10^{-5})=8.7\cdot7.46\cdot10^4\cdot10^{-5}=64.9\cdot10^{4-5}$

Now, we use rules of multiplication and exponents to solve the problem.

$64.90\cdot10^{-1}=6.490$

Keep in mind the answer needs to be in scientific notation, only one digit in front of the decimal.

6.490

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Example Question #148 : How To Solve Two Step Equations

Solve: -7x+2 = 7x

Possible Answers:

$\textup{There is no solution.}$

$\frac{1}{7}$

$-\frac{1}{7}$

Correct answer:

$\frac{1}{7}$

Explanation:

To solve for the unknown variable, we need to isolate the unknown variable.

Add on both sides of the equation.

-7x+2 +(7x)= 7x+(7x)

2=14x

Divide by 14 on both sides.

$x=\frac{1}{7}$

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Example Question #149 : How To Solve Two Step Equations

Solve for :

25x + 425 = 787.5

Possible Answers:

14.5

125

15.25

Correct answer:

14.5

Explanation:

First, subtract 425 from both sides of the equation:

25x + 425 = 787.5

25x = 362.5

Then, divide both sides by to solve for :

$362.5 \div 25 = 14.5$

x = 14.5

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Example Question #141 : How To Solve Two Step Equations

Solve for :

2x-9=-5

Possible Answers:

x=4

x=-1

x=-2

x=2

Correct answer:

x=2

Explanation:

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

2x-9=-5

Add to both sides of the equation.

2x-9+9=-5+9

Remember that adding a negative number to a positive number is the same as subtracting a positive number.

2x=9-5

2x=4

Divide both sides of the equation by .

$\frac{2x}{2}=\frac{4}{2}$

Simplify.

x=2

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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 #141 : How To Solve Two Step Equations

Example Question #142 : How To Solve Two Step Equations

Example Question #143 : How To Solve Two Step Equations

Example Question #144 : How To Solve Two Step Equations

Example Question #145 : How To Solve Two Step Equations

Example Question #146 : How To Solve Two Step Equations

Example Question #147 : How To Solve Two Step Equations

Example Question #148 : How To Solve Two Step Equations

Example Question #149 : How To Solve Two Step Equations

Example Question #141 : How To Solve Two Step Equations

All Algebra 1 Resources

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