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Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

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Example Questions

Example Question #131 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x+241.7=903.6$

Possible Answers:

661.9 $\displaystyle 661.9$

961.2 $\displaystyle 961.2$

725.2 $\displaystyle 725.2$

681.4 $\displaystyle 681.4$

841.6 $\displaystyle 841.6$

Correct answer:

661.9 $\displaystyle 661.9$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+241.7=903.6$

Subtract 241.7 $\displaystyle 241.7$ on both sides.

x=661.9 $\displaystyle x=661.9$

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Example Question #132 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x+982.1=267.8$

Possible Answers:

-714.3 $\displaystyle -714.3$

845.3 $\displaystyle 845.3$

-694.2 $\displaystyle -694.2$

1026.6 $\displaystyle 1026.6$

1249.9 $\displaystyle 1249.9$

Correct answer:

-714.3 $\displaystyle -714.3$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+982.1=267.8$

Subtract 982.1 $\displaystyle 982.1$ on both sides.

$\displaystyle x=-714.3$

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Example Question #613 : Basic Single Variable Algebra

Solve for $\displaystyle x$.

$\displaystyle x+457.9=-235.6$

Possible Answers:

-745.6 $\displaystyle -745.6$

-693.5 $\displaystyle -693.5$

432.1 $\displaystyle 432.1$

222.3 $\displaystyle 222.3$

338.4 $\displaystyle 338.4$

Correct answer:

-693.5 $\displaystyle -693.5$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x+457.9=-235.6$

Subtract 457.9 $\displaystyle 457.9$ on both sides.

$\displaystyle x=-693.5$

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Example Question #614 : Basic Single Variable Algebra

Solve for $\displaystyle x$.

$\displaystyle x-845=1023$

Possible Answers:

958 $\displaystyle 958$

1868 $\displaystyle 1868$

463 $\displaystyle 463$

784 $\displaystyle 784$

178 $\displaystyle 178$

Correct answer:

1868 $\displaystyle 1868$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-845=1023$

Add 845 $\displaystyle 845$ on both sides.

x=1868 $\displaystyle x=1868$

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Example Question #135 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x-245.6=-1023.5$

Possible Answers:

386.7 $\displaystyle 386.7$

-777.9 $\displaystyle -777.9$

423.9 $\displaystyle 423.9$

-823.1 $\displaystyle -823.1$

568.2 $\displaystyle 568.2$

Correct answer:

-777.9 $\displaystyle -777.9$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-245.6=-1023.5$

Add 245.6 $\displaystyle 245.6$ on both sides.

$\displaystyle x=-777.9$

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Example Question #133 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle x-467.8=-396.7$

Possible Answers:

82.3 $\displaystyle 82.3$

71.1 $\displaystyle 71.1$

68.1 $\displaystyle 68.1$

-56.9 $\displaystyle -56.9$

-47.7 $\displaystyle -47.7$

Correct answer:

71.1 $\displaystyle 71.1$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle x-467.8=-396.7$

Add 467.8 $\displaystyle 467.8$ on both sides.

x=71.1 $\displaystyle x=71.1$

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Example Question #134 : Solving Equations

Solve for $\displaystyle x$.

17x=561 $\displaystyle 17x=561$

Possible Answers:

$\displaystyle 43$

$\displaystyle 39$

$\displaystyle 55$

$\displaystyle 41$

$\displaystyle 33$

Correct answer:

$\displaystyle 33$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

17x=561 $\displaystyle 17x=561$

Divide $\displaystyle 17$ on both sides.

x=33 $\displaystyle x=33$

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Example Question #135 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle -44x=792$

Possible Answers:

$\displaystyle -23$

$\displaystyle 22$

$\displaystyle -18$

$\displaystyle 24$

$\displaystyle 16$

Correct answer:

$\displaystyle -18$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle -44x=792$

Divide $\displaystyle -44$ on both sides.

x=-18 $\displaystyle x=-18$

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Example Question #136 : Solving Equations

Solve for $\displaystyle x$.

$\displaystyle -28x=-812$

Possible Answers:

$\displaystyle -39$

$\displaystyle 21$

$\displaystyle 39$

$\displaystyle 29$

$\displaystyle 31$

Correct answer:

$\displaystyle 29$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\displaystyle -28x=-812$

Divide $\displaystyle -28$ on both sides.

x=29 $\displaystyle x=29$

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Example Question #619 : Basic Single Variable Algebra

Solve for $\displaystyle x$.

$\frac{7}{9}x=756$ $\displaystyle \frac{7}{9}x=756$

Possible Answers:

612 $\displaystyle 612$

588 $\displaystyle 588$

963 $\displaystyle 963$

558 $\displaystyle 558$

972 $\displaystyle 972$

Correct answer:

972 $\displaystyle 972$

Explanation:

To solve for the variable perform opposite operations to isolate it on one side of the equation with all constants on the other side.

$\frac{7}{9}x=756$ $\displaystyle \frac{7}{9}x=756$

Multiply $\frac{9}{7}$ $\displaystyle \frac{9}{7}$ on both sides.

x=972 $\displaystyle x=972$

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Algebra II : Basic Single-Variable Algebra

Study concepts, example questions & explanations for Algebra II

All Algebra II Resources

Example Questions

Example Question #131 : Solving Equations

Example Question #132 : Solving Equations

Example Question #613 : Basic Single Variable Algebra

Example Question #614 : Basic Single Variable Algebra

Example Question #135 : Solving Equations

Example Question #133 : Solving Equations

Example Question #134 : Solving Equations

Example Question #135 : Solving Equations

Example Question #136 : Solving Equations

Example Question #619 : Basic Single Variable Algebra

All Algebra II Resources

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