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High School Math : How to solve two-step equations

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Example Questions

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

A glass jar is filled to the top with 100 blue marbles, 75 red marbles, and 25 yellow marbles. Each time a marbles is picked from the jar, it must be returned to the jar before another marble is picked again. What is the probability of picking a red marble?

Possible Answers:

5/8

3/4

3/8

2/3

1/8

Correct answer:

3/8

Explanation:

First, find the total number of marbles in the glass jar: 100 + 75 + 25 = 200 marbles in total.

It is given that there are 75 red marbles, thus: 75/200 = 3/8 .

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Example Question #91 : How To Solve Two Step Equations

$15=\frac{Y}{3}-9$

Y=?

Possible Answers:

Correct answer:

Explanation:

First add 9 to both sides:

$15+(9)=\frac{Y}{3}-9+(9)$

$24=\frac{Y}{3}$

Then multiply both sides by 3:

$24\left ( 3\right )=\frac{Y}{3}\left ( 3\right )$

72=Y

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Example Question #92 : How To Solve Two Step Equations

Solve for .

3n-7=12

Possible Answers:

n=4

$n=\frac{3}{19}$

$n=\frac{19}{3}$

$n=\frac{5}{3}$

n=6

Correct answer:

$n=\frac{19}{3}$

Explanation:

To solve, we must perform the same operations to both sides of the equation.

3n-7=12

Add 7 to both sides.

3n-7+7=12+7

3n=19

Divide both sides by 3.

$\frac{3n}{3}=\frac{19}{3}$

$n=\frac{19}{3}$

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Example Question #93 : How To Solve Two Step Equations

Solve the equation for .

$\frac{4}{x}+3=9$

Possible Answers:

x=24

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

x=6

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

x=3

Correct answer:

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

Explanation:

$\small \small \frac{4}{x}+3=9$

Subtract from both sides and simplify.

$\small \small \frac{4}{x}+3-3=9-3=6$

$\small \small \frac{4}{x}=6$

Multiply both sides by to remove it from the denominator.

$\small \small \frac{4}{x}(x)=6(x)$

$\small 4=6x$

Divide both sides by .

$\small \frac{4}{6}=\frac{6x}{6}$

Simplify the fraction.

$\small x=\frac{4}{6}=\frac{2}{3}$

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

2.4X+1.6X=16

X=?

Possible Answers:

Correct answer:

Explanation:

This is a two-step equation. First you must add the decimals up to have a singular variable element

2.4X+1.6X=16

$\left ( 2.4+1.6\right )X=16$

4X=16

Then divide both sides by 4:

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

X=4

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

Solve the equation for . (Round to two decimal places).

$\small 1.22n+4=3.5$

Possible Answers:

$\small n=0.41$

$\small n=6.15$

$\small n=-0.41$

$\small n=-6.15$

Correct answer:

$\small n=-0.41$

Explanation:

$\small 1.22n+4=3.5$

Subtract from both sides of the equation, and simplify.

$\small 1.22n+4-4=3.5-4$

$\small \small 1.22n=-0.50$

Divide both sides by 1.22 . Be careful of the negative sign.

$\small \frac{1.22n}{1.22}=-\frac{0.50}{1.22}$

$\small n=-0.41$

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Example Question #505 : High School Math

2.5x+10=30

Solve for

Possible Answers:

x=8

x=5

x=2.4

x=10

x=16

Correct answer:

x=8

Explanation:

The goal is to get alone on one side. Therefore you subtract from both sides to get 2.5x=20 . Then divide both sides by 2.5 to get alone.

20/2.5=8 .

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

Josie buys $\$12.38$ worth of groceries. The sales tax is $3.875\%$ . If she pays with $\$20$ , how much change should she get?

Possible Answers:

$\$7.62$

$\$6.19$

$\$7.14$

$\$6.58$

$\$5.97$

Correct answer:

$\$7.14$

Explanation:

The sales tax is $12.38\cdot 0.03875=0.479$

The total grocery bill is 12.38+0.48=12.86 .

The change is 20-12.86=7.14 .

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High School Math : How to solve two-step equations

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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

Example Question #91 : How To Solve Two Step Equations

Example Question #92 : How To Solve Two Step Equations

Example Question #93 : How To Solve Two Step Equations

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

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

Example Question #505 : High School Math

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

All High School Math Resources

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