Think of Algebra as a puzzle
What is Algebra?
In Algebra we use letters (like x or y) or other symbols in place of unknown values.
For example: in x + 3 = 7, "x" is unknown. We can find the value of "x" by subtracting 3 from both sides of the equal sign (=), like this: Start with: x + 3 = 7 Subtract 3 from both sides: x + 3 - 3 = 7 - 3 Calculate: x + 0 = 4 Answer: x = 4 |
Algorithm
An Algorithm is a step-by-step solution to a problem.
It is like a cooking recipe for mathematics. Example: one algorithm for adding two digit numbers is "add the units, add the tens and combine the answers" Long Division is another example of an algorithm: if you follow the steps you get the answer. "Algorithm" is named after the 9th century Persian mathematician Al-Khwarizmi. |
Solve:
If Mario received 15% of the votes for class president. He received 45 votes. How many people voted in the election?
A six foot man casts an eight foot shadow. How tall is a tree that casts a 20 foot shadow? Arrange in order from smallest to largest: 0, 1, 1/2, 5/12, 1/10, 9/10, 5/8 Papa Bear ate one quarter of a pie. Mama Bear ate a third of what was left. Baby Bear ate half of what was left. How much of the pie was left for Goldilocks? Halfway through the second quarter, how much of the game is left? Write your answer as a proper fraction. http://www.mathnasium.com/middleschool_GradeLevel6_quiz.html Solve:
A bag contains three red marbles, four white marbles, and five blue marbles. One bag is randomly selected from the bag.
What is the probability that the marble is not red? Write your answer as a proper fraction. What is 6 1/2% of 150? Three-fifths of a piece of cheese weighs 24 grams. How much does the whole piece weigh? http://www.mathnasium.com/middleschool_GradeLevel7_quiz.html Use the number line to solve:
(-4) - (4) - (-7) - (-1) = Answer the question:
A furlong is an eighth of a mile.
What part of a mile is 7 1/2 furlongs? Write your answer as a proper fraction. |
Solve for X:
2 (3x + 4) - 3 ( x - 1) = x - 1
x^2 - 36 = 0 The area of a rectangle is 72 square meters. The length of the rectangle is twice the width. What is the width of the rectangle? Car A leaves at 8:00 AM at 40 mph? Car B leaves two hours later at 60 mph. How long does it take for Car B to catch up with Car A? After a 20% discount and 6% sales tax, a guitar costs $530. What was the original price of the guitar? http://www.mathnasium.com/highschool_algebra1_quiz.html Answer the questions:
On a certain map, 6 inches represents 25 miles.
How many miles does 1 1/2 feet represent? The average of three numbers is 45. Two of the numbers are equal. The last number is 89. What are the two missing numbers? http://www.mathnasium.com/middleschool_pre-algebra_quiz.html Solve:
A furlong is one eighth of a mile. At 60 mph, how long will it take to travel 1,440 furlongs?
How much water?
A fish take is 3/4 full.
2/3 of the water leaks out, leaving 10 gallons in the tank. What is the capacity of the tank? How many in all?
Half of the marbles in a bag are red. A third of the marbles are white. The other six marbles are blue. How many marbles are in the bag?
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