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High School Math : How to solve two-step equations with decimals in pre-algebra

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Example Questions

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

$\displaystyle 2.4X+1.6X=16$

X=? $\displaystyle X=?$

Possible Answers:

$\displaystyle 12$

$\displaystyle 4$

$\displaystyle 16$

$\displaystyle 26$

$\displaystyle 8$

Correct answer:

$\displaystyle 4$

Explanation:

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

$\displaystyle 2.4X+1.6X=16$

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

4X=16 $\displaystyle 4X=16$

Then divide both sides by 4:

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

X=4 $\displaystyle X=4$

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

Solve the equation for $\displaystyle n$. (Round to two decimal places).

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

Possible Answers:

$\small n=6.15$ $\displaystyle \small n=6.15$

$\small n=-0.41$ $\displaystyle \small n=-0.41$

$\small n=-6.15$ $\displaystyle \small n=-6.15$

$\small n=0.41$ $\displaystyle \small n=0.41$

Correct answer:

$\small n=-0.41$ $\displaystyle \small n=-0.41$

Explanation:

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

Subtract $\displaystyle 4$ from both sides of the equation, and simplify.

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

$\small \small 1.22n=-0.50$ $\displaystyle \small \small 1.22n=-0.50$

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

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

$\small n=-0.41$ $\displaystyle \small n=-0.41$

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Example Question #505 : High School Math

$\displaystyle 2.5x+10=30$

Solve for $\displaystyle x$

Possible Answers:

x=8 $\displaystyle x=8$

x=5 $\displaystyle x=5$

x=2.4 $\displaystyle x=2.4$

x=10 $\displaystyle x=10$

x=16 $\displaystyle x=16$

Correct answer:

x=8 $\displaystyle x=8$

Explanation:

The goal is to get $\displaystyle x$ alone on one side. Therefore you subtract $\displaystyle 10$ from both sides to get 2.5x=20 $\displaystyle 2.5x=20$. Then divide both sides by 2.5 $\displaystyle 2.5$ to get $\displaystyle x$ alone.

$\displaystyle 20/2.5=8$.

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

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

Possible Answers:

$\$7.62$ $\displaystyle \$7.62$

$\$6.19$ $\displaystyle \$6.19$

$\$7.14$ $\displaystyle \$7.14$

$\$6.58$ $\displaystyle \$6.58$

$\$5.97$ $\displaystyle \$5.97$

Correct answer:

$\$7.14$ $\displaystyle \$7.14$

Explanation:

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

The total grocery bill is $\displaystyle 12.38+0.48=12.86$.

The change is $\displaystyle 20-12.86=7.14$.

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High School Math : How to solve two-step equations with decimals in pre-algebra

Study concepts, example questions & explanations for High School Math

All High School Math Resources

Example Questions

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

Example Question #2 : 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

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