Algebra II : Equations

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #311 : Equations

Solve for \displaystyle x.

\displaystyle 6x-19=-46

Possible Answers:

\displaystyle -4.5

\displaystyle 8

\displaystyle -7.5

\displaystyle 5.5

\displaystyle 6

Correct answer:

\displaystyle -4.5

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.

\displaystyle 6x-19=-46 

Add \displaystyle 19 on both sides.

\displaystyle 6x=-27 

Divide \displaystyle 6 on both sides.

\displaystyle x=-4.5

 

Example Question #661 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 8(x+4)=6(x+1)

Possible Answers:

\displaystyle -12

\displaystyle -8

\displaystyle -13

\displaystyle 9

\displaystyle 10

Correct answer:

\displaystyle -13

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.

\displaystyle 8(x+4)=6(x+1) 

Distribute the number to each term in the parentheses.

\displaystyle 8x+32=6x+6 

Subtract \displaystyle 6x and \displaystyle 32 on both sides.

\displaystyle 2x=-26 

Divide \displaystyle 2 on both sides.

\displaystyle x=-13

Example Question #662 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 9x-58=203

Possible Answers:

\displaystyle 31

\displaystyle 29

\displaystyle 35

\displaystyle 27

\displaystyle 33

Correct answer:

\displaystyle 29

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.

\displaystyle 9x-58=203 

Add \displaystyle 58 on both sides.

\displaystyle 9x=261 

Divide \displaystyle 9 on both sides.

\displaystyle x=29

Example Question #663 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 7x-48=-405

Possible Answers:

\displaystyle 53

\displaystyle -51

\displaystyle 48

\displaystyle -49

\displaystyle 52

Correct answer:

\displaystyle -51

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.

\displaystyle 7x-48=-405 

Add \displaystyle 48 on both sides.

\displaystyle 7x=-357 

Divide \displaystyle 7 on both sides.

\displaystyle x=-51

Example Question #664 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 3(x-3)=4(x-4)

Possible Answers:

\displaystyle 7

\displaystyle 5

\displaystyle 11

\displaystyle 8

\displaystyle 6

Correct answer:

\displaystyle 7

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.

\displaystyle 3(x-3)=4(x-4) 

Distribute the number to each term in the parentheses.

\displaystyle 3x-9=4x-16 

Subtract \displaystyle 3x and add \displaystyle 16 on both sides.

\displaystyle x=7

Example Question #665 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 25x=1500

Possible Answers:

\displaystyle 64

\displaystyle 52

\displaystyle 60

\displaystyle 70

\displaystyle 48

Correct answer:

\displaystyle 60

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.

\displaystyle 25x=1500 

Divide \displaystyle 25 on both sides.

\displaystyle x=60

Example Question #666 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle 36x=-1368

Possible Answers:

\displaystyle -39

\displaystyle 40

\displaystyle 42

\displaystyle -37

\displaystyle -38

Correct answer:

\displaystyle -38

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. 

\displaystyle 36x=-1368 

Divide \displaystyle 36 on both sides.

\displaystyle x=-38

Example Question #667 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle -39x=-1599

Possible Answers:

\displaystyle 41

\displaystyle 46

\displaystyle 51

\displaystyle -41

\displaystyle -51

Correct answer:

\displaystyle 41

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.

\displaystyle -39x=-1599

Divide \displaystyle -39 on both sides.

\displaystyle x=41

Example Question #668 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle \frac{x}{7}=9.2

Possible Answers:

\displaystyle 72.3

\displaystyle 68.6

\displaystyle 65.4

\displaystyle 64.4

\displaystyle 63.4

Correct answer:

\displaystyle 64.4

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.

\displaystyle \frac{x}{7}=9.2 

Multiply \displaystyle 7 on both sides.

\displaystyle x=64.4

Example Question #669 : Basic Single Variable Algebra

Solve for \displaystyle x.

\displaystyle \frac{-x}{13}=14.6

Possible Answers:

\displaystyle 222.2

\displaystyle -196.4

\displaystyle -208.8

\displaystyle -189.8

\displaystyle 214.8

Correct answer:

\displaystyle -189.8

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.

\displaystyle \frac{-x}{13}=14.6 

Multiply \displaystyle 13 on both sides.

\displaystyle -x=189.8 

Divide \displaystyle -1 on both sides.

\displaystyle x=-189.8

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