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High School Math : Algebraic Equations

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Example Questions

Example Question #12 : How To Solve One Step Equations With Decimals In Pre Algebra

0.2x=35

Solve for .

Possible Answers:

175

35.2

34.8

Correct answer:

175

Explanation:

To solve 0.2x=35 , we need to isolate . That means we want just on the left hand side.

To do that, we need to divide both sides by 0.2 .

0.2x=35

$\frac{0.2x}{0.2}=\frac{35}{0.2}$

$x=\frac{35}{0.2}$

x=175

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Example Question #151 : Algebraic Equations

x=0.75*4

What is ?

Possible Answers:

5.3

3.25

3.75

Correct answer:

Explanation:

To solve x=0.75*4 , you can either plug it into your calculator or convert it to a fraction. Since $0.75=\frac{3}{4}$ , we can rewrite the equation as:

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

$x=\frac{12}{4}=3$

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Example Question #152 : Algebraic Equations

What number is $30\%$ of 180 ?

Possible Answers:

Correct answer:

Explanation:

Verbal cues include "IS" means equals and "OF" means multiplication.

$n=0.30\cdot 180=54$

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Example Question #153 : Algebraic Equations

Michael buys two packs of pencils for $\$ 1.25$ each and three sketch pads for $\$ 3.50$ each. He pays for his purchase with $\$ 20.00$ . How much change should he get?

Possible Answers:

$\$ 13.00$

$\$ 17.50$

$\$ 15.25$

$\$ 7.00$

$\$ 9.50$

Correct answer:

$\$ 7.00$

Explanation:

First, calculate how much he spends on pencils and pads.

Pencils: $2\cdot 1.25=\$2.50$

Pads: $3\cdot 3.50=\$10.50$

Therefore the total spent is $\$2.50+\$10.50=\$13.00$ .

Then the change is $\$20.00-\$13.00=\$7.00$ .

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Example Question #154 : Algebraic Equations

Solve for if x-.16=.32 .

Possible Answers:

x=.44

x=.16

x=48

x=4.8

x=.48

Correct answer:

x=.48

Explanation:

We need to isolate x so that it is the only term on the left side of the equation.

To do this, add .16 to both sides of the equation:

x-.16+.16=.32+.16

The numbers on the left side cancel to leave by itself.

.32+.16=.48

The answer is therefore x=.48 .

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Example Question #1 : How To Solve Two Step Equations With Integers In Pre Algebra

24=2X-6

X=?

Possible Answers:

Correct answer:

Explanation:

This is a two-step equation. First simplify the whole numbers by adding 6 to both sides:

$24+\left ( 6\right )=2X-6+\left ( 6\right )$

30=2X

Then divide both sides by 2

$\frac{30}{2}=\frac{2X}{2}$

15=X

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Example Question #2 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve for .

4x-3=13

Possible Answers:

x=12

x=2.5

x=4

x=64

Correct answer:

x=4

Explanation:

Perform the same operation on both sides of the equation.

4x-3=13

Add 3 to both sides.

4x-3+3=13+3

4x=16

Divide both sides by 4 and simplify the fraction.

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

x=4

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Example Question #3 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve the following equation for .

3m + 5 = 17

Possible Answers:

$\frac{22}{3}$

Correct answer:

Explanation:

3m + 5 = 17

To solve a two step equation, we want to isolate the variable. This means first "getting rid of" the number which is being added to the variable, in this case . To get rid of the , we first recognize that it is being added, then we do the inverse and subtract from both sides.

3m+5-5=17-5

3m=12

Now, we want to do the inverse of multiplying by , which is dividing by on both sides.

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

m=4

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Example Question #4 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve the following equation for .

$8 - \frac{k}{7} = 5$

Possible Answers:

Correct answer:

Explanation:

$8 - \frac{k}{7} = 5$

We want to first isolate the variable, thus we first try to get rid of the constants being added to the variable, in this case the . To eliminate , we do the inverse of addition, and subtract from both sides.

$8-\frac{k}{7}-8=5-8$

$- \frac{k}{7} = -3$

Then, we want to do the inverse of dividing by , which is multiplying by . Remember that multiplying two negative terms results in a positive term.

$(-7)(-\frac{k}{7})=(-7)(-3)$

k=21

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Example Question #5 : How To Solve Two Step Equations With Integers In Pre Algebra

Solve the equation for .

$\small 7p+3=10p$

Possible Answers:

$\small p=-1$

$\small p=\frac{13}{10}$

$\small p=-\frac{13}{10}$

$\small p=1$

Correct answer:

$\small p=1$

Explanation:

$\small 7p+3=10p$

Subtract from both sides to get the variables on the same side, and simplify.

$\small 7p+3-7p=10p-7p$

$\small 3=3p$

Divide both sides by .

$\small \frac{3}{3}=\frac{3p}{3}$

$\small 1=p$

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High School Math : Algebraic Equations

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

Example Question #12 : How To Solve One Step Equations With Decimals In Pre Algebra

Example Question #151 : Algebraic Equations

Example Question #152 : Algebraic Equations

Example Question #153 : Algebraic Equations

Example Question #154 : Algebraic Equations

Example Question #1 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #2 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #3 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #4 : How To Solve Two Step Equations With Integers In Pre Algebra

Example Question #5 : How To Solve Two Step Equations With Integers In Pre Algebra

All High School Math Resources

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