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Math Topics
Prealgebra
Decimals
1
Decimal Notation, Place Value, and Rounding
2
Addition and Subtraction with Decimals
3
Multiplication with Decimals
4
Division with Decimals
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.
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?
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.