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Algebra 1 : Linear 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 #131 : How To Solve Two Step Equations

Solve for .

9s-76=-13

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.

9s-76=-13

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

9s=63

Divide both sides by .

s=7

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Example Question #138 : How To Solve Two Step Equations

Solve for .

-6e-12=18

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.

-6e-12=18

Add both sides by .

-6e=30

Divide both sides by . Since we are dividing by a positive number, our quotient will be negative.

e=-5

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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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Algebra 1 : Linear Equations

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #131 : How To Solve Two Step Equations

Example Question #138 : How To Solve Two Step Equations

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

All Algebra 1 Resources

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