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Math Topics

Prealgebra

Decimals

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1
Decimal Notation, Place Value, and Rounding

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2
Addition and Subtraction with Decimals

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3
Multiplication with Decimals

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4
Division with Decimals

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5
Fractions and Decimals

**Mini Lecture**

Convert \(\dfrac{7}{8}\) to a decimal.

Convert \(\dfrac{3}{11}\) to a decimal.

Convert \(0.375\) to a decimal.

Simplify.

\(\dfrac{1}{2}(2.3+2.5)\)

\(\dfrac{2}{3}(0.3)+\dfrac{3}{5}(0.3)\)

\((0.25)^2+\left(\dfrac{1}{4}\right)^2(3)\)

Find the volume of a sphere with a radius of \(2\) miles.

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6
Equations With Decimals

A cellphone company charges \(\$49.99\) per month for unlimited texting and \(450\) voice minutes. If a customer is charged \(\$0.45\) each overtime minute and receives a bill for \(\$104.89\), by how many minutes did he exceed his monthly allowance?

**Mini Lecture**

Solve.

\(x-0.45=-0.32\)

\(0.5n=-0.4\)

\(4x-4.7=3.5\)

\(0.1x+0.5(x+8=7)\)

A car rental company charges \(\$10\) a day and \(16\) cents per mile for their cars. If a car was rented for \(1\) day for a total charge of \(\$23.93\), how many miles was it driven?

Mary has \(\$2.20\) in dimes and nickels. If she has \(10\) more dimes than nickels, how many of each coin does she have?

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7
Square Roots and The Pythagorean Theorem

**Mini Lecture**

Simplify.

\(\sqrt{81}\)

\(16\sqrt{9}\)

\(\sqrt{49}+\sqrt{64}\)

\(\sqrt{16}-\sqrt{9}\)

\(3\sqrt{25}-9\sqrt{49}\)

\(\sqrt{\frac{16}{49}}\)

\(\sqrt{\frac{100}{121}}\)

Approximate to the nearest hundredth with a calculator.

\(5\sqrt{5}\)

\(\sqrt{18}+\sqrt{19}\)

Find the hypotenuse of a right triangle if the lengths of the two other sides are \(5\) feet and \(12\) feet.