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Algebra 1 : How to find the solution to an equation

Study concepts, example questions & explanations for Algebra 1

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Example Questions

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Example Question #5 : Linear Equations

Solve for x: 12x-5(x-2)=45

Possible Answers:

x=5

x=8

$x=\frac{55}{7}$

$x=\frac{7}{55}$

x=7

Correct answer:

x=5

Explanation:

12x-5(x-2)=45

Simplify the parenthesis:

12x-5x+10=45

Combine the terms with x's:

7x+10=45

Combine constants:

$7x=35\rightarrow \mathbf{x=5}$

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Example Question #31 : How To Find The Solution To An Equation

Solve for x: $2x=\frac{3}{2}-5$

Possible Answers:

None of these

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

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

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

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

Correct answer:

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

Explanation:

$2x=\frac{3}{2}-5$

Simplify the right side:

$2x=\frac{3}{2}-\frac{10}{2}$

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

Isolate x:

$\frac{1}{2}*2x=-\frac{7}{2}*\frac{1}{2}$

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

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Example Question #31 : Systems Of Equations

Solve for

1=5+x

Possible Answers:

None of the other answers.

Correct answer:

Explanation:

1 = 5 + x

1-5 = 5+x-5

-4=x

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Example Question #3 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for :

6x-9-x=2x-6

Possible Answers:

Correct answer:

Explanation:

First. combine like terms to get

5x-9=2x-6 .

Then, add and subtract from both sides to separate the terms.

This gives you 3x=3 .

Finally, divide both sides by to get a solution of x=1 .

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Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Solve for :

8(x+5)=16

Possible Answers:

None of the other answers

$-\frac{11}{8}$

$\frac{11}{8}$

Correct answer:

Explanation:

First, you must multiply the left side of the equation using the distributive property.

This gives you 8x+40=16 .

Next, subtract from both sides to get 8x=-24 .

Then, divide both sides by to get x=-3 .

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Example Question #31 : Systems Of Equations

$A\ \blacksquare\ B= \frac{A + B}{2}-\frac{2}{A-B}$

If $8\ \blacksquare\ B = 6$ , find the value of .

Possible Answers:

Correct answer:

Explanation:

The simplest way to solve this is to test the answer choices provided by plugging them in the equation. Start with the number in the middle, which in this case is 6. Replace every "B" in the equation with "6", and solve.

$\frac{8+(6)}{2}-\frac{2}{8-(6)}=\frac{14}{2}-\frac{2}{2}=7-1=6$

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Algebra 1 : How to find the solution to an equation

Study concepts, example questions & explanations for Algebra 1

All Algebra 1 Resources

Example Questions

Example Question #5 : Linear Equations

Example Question #31 : How To Find The Solution To An Equation

Example Question #31 : Systems Of Equations

Example Question #3 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Example Question #1 : Solve Linear Equations With Rational Number Coefficients: Ccss.Math.Content.8.Ee.C.7b

Example Question #31 : Systems Of Equations

All Algebra 1 Resources

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