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K.A.P. Course Review
| Question | Answer |
|---|---|
| Identify the place value of the 4 in 2014. | The four is in the ones place. |
| What is the Greatest Common Factor of 33 and 44? | GCF of 33 and 44: 33 - 1, 3, 11, and 33 & 44: 1, 2, 4, 11, 22, and 44. The greatest number that these two values have in common is 11, which is the Greatest Common Factor of 33 and 44. |
| What is the Least Common Multiple of 14 and 28? | 14: 14, 28, 42, 56 and 28: 28, 56, 84 and 112. The Least Common Multiple of 14 and 28 is 56, which is 2*28 and 4*14. |
| What does it mean to represent data? | This means to analyze and interpret the data. |
| Find the area of a flash card that is three by five inches assuming that this is a rectangular study aid. | Area of a rectangle is length times width so 3*5 is 15. Thus, a rectangular flash card that is three by five inches has an area of 15 square inches. |
| What is the perimeter of the same flash card? | A rectangular perimeter is two times the length plus two times the width. Thus, 2*3 plus two times five will give us six plus ten. In other words, the flash card has a perimeter of sixteen inches. |
| A box has dimensions of 6 units, 8 units, and 7 units. What is the volume of the box? | The volume of a rectangular prism, or a box is length times width times height. Thus, 6*8 is 48 times 7 is 336. In other words, the box has a volume of 336 units. |
| What is 2/3 plus 2/3 in simplified form? | 2/3 plus 2/3 is 4/3, or 1 1/3. We leave the answer as an improper fraction when taking tests on the computer if it doesn't recognize the mixed numbers. When taking paper-based test, you have a choice of whether to change it to a mixed number or leave it. |
| Round 2/3 to the nearest tenth. | 2/3 is approximately 0.67, which rounds to 0.7! |
| Which number is greater and why: -3 or -15? | Negative three is greater than negative fifteen because -3 is closer to zero than -15; the further a number is from zero, the smaller the value is. |
| What quadrant is (3,4) in? | (3,4) is in the first quadrant. |
| What is an equivalent ratio of 6:9? | 2:3 is an equivalent ratio of 6:9 since this is the ratio in its simplest form once we divide both numbers by three. |
| What are expressions, equations and inequalities? | Expressions are a collection of at least one term according to the Algebra I Reference Chart by REA. Equations are a term collection, or expression with an equal sign and inequalities have greater/ less than (or equal to) symbols. |
| Simplify the expression 3z+4z+9y. | 3z and 4z can be combined since they are like terms so we add three z plus four z to get seven z. We cannot combined 7z and 9y, however, since these are different terms. Thus, the answer is 7z+9y. |
| Solve the equation 3z+4z=21. | Add 3z and 4z to get 7z. The new equation is 7z=21. Next, we divide both sides by 7 and get 3. Thus, z=3. This means that 3 is equal to z. |
| Solve the inequality 7z > 28. | First, we divide both sides by 7. The answer is z > 4. This means that the letter z has a solution set that is greater than four. |
| What are exponents and radicals? | Exponents are powers and radicals are roots, or fractional exponents. |
| What is three raised to the third power? | This is 3*3*3, which is 9*3 = 27. |
| What is the square root of four? | This is two because two times two is four. |
| What is ten to the negative first power? | This is 1/10, or 0.1! |
| What are negative exponents? | These are really fractions in the form of 1 over the base, or 1/x. |
Created by:
Roof345
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