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# Grade 7 Review

### review for EOGs

Question | Answer |
---|---|

Define diameter | the distance across a circle. It goes through the center and touches the circle twice. It is twice the radius. |

Define radius | The distance from the center of the circle to the cirlce's edge. It is half the diameter. You need the radius to find area. |

Define circumference | Distance around a circle. C=πd or c=2πr |

Define area of a circle | Amount of flat space inside a circle. A = πrr or pi times radius squared |

To find the radius if you know the diameter | Divide by 2 |

To find the diameter if you know the radius | Multiply by 2 |

Formula for area of a circle | Pi times radius squared. Or πrr |

Formula for circumference | C=πd Or c=2πr |

How do you find the diameter if you know the circumference? | Divide by 2π |

How do you find the radius if you know the area? | Divide by π, then find the square root |

What is the LCD for 2/7 and 2/8? | 56 |

What is the LCD for 3/8 ad 5/16? | 16 |

What is the LCD for 5/10 and 4/15 | 30 |

To simplify 14/20 | Divide numerator and denominator by 2 |

To simplify 8/12 | Divide numerator and denominator by 4 |

Simplify 4/10 | 2/5 |

Simplify 6/9 | `2/3 |

Simplify 12/20 | 3/5 |

Change 5 2/3 to improper | 173 |

Change 2 3/7 to improper | 17/2 |

Change 11/4 to mixed | 2 3/4 |

Change 22/13 to mixed | 1 9/13 |

Solve 5 + w = 22 | W=17 |

Solve r + 6 = 4 | R = -2 |

Solve p + 9 = 9 | P = 0 |

Solve 7 = r + 9 | R = -2 |

Solve 24 < 20 + m | M > 4 |

Solve m - 5 >13 | M > 18 |

Solve 30 = m + 10 | M = 20 |

Solve -15 < m - 9 | M > -6 |

Solve g + 14 < -10 | G < -24 |

Solve -50 + r = 40 | R = 90 |

Solve M - 10 = 0 | M = 10 |

Solve 4r < 32 | R < 8 |

Solve 8r = 5 | R = 5/8 |

Solve -8r > 5 | R < -5/8 |

Solve g/3 = 8 | G = 24 |

Solve g/3 > 8 | G > 24 |

Solv b/2 = -14 | B = -28 |

Solve 70 = b/2 | B = 140 |

Solve -10 > m/6 | M < -60 |

Solve 4n + 5 = 17 | N= 3 |

Solve 2v - 6 = 22 | V = 14 |

Solve 11 = 7 + g/4 | G = 16 |

Solve -6h + 21 < 3 | H > 3 |

Solve 7a + 100 = 170 | A = 10 |

Solve k/5 - 16 = 4 | K = 100 |

Solve -5m + 3 = 33 | M = -6 |

Define mean | Add the divide. Add the data, the divide by the number of data there is. |

Define median | The middle number if the data is in order |

Define mode | The most common data |

Define range | The biggest minus the smallest number in a set of data |

Define absolute value | The distance a number is from zero. Absolute value is always positive |

Define acute angle | An angle less than 90 degrees |

Define acute triangle | A triangle where all three angles are less than 90 degrees |

Define right angle | An angle equal to 90 degrees |

Define a right triangle | A triangle with one angle equal to 90 degrees |

Define obtuse angle | An angle greater than 90 degrees |

Define obtuse triangle | A triangle with one angle greater than 90 degrees |

Define scalene triangle | A triangle where all the sides are different. All the angles will also be different. |

Define isosceles triangle | A triangle with two equal sides. The angles across from them will also be equal. |

Define equilateral triangle | A triangle with all three sides the same. All three angles will also be the same. |

How do you know if three side lengths can form a triangle? | The sum (+) of the two smaller sides must be greater than the third side. Example: 4, 7, 9 works but 4, 7, 12 doesn't work |

Simplify 5f + 4f | 9f |

Simplify 8h - h + 1 | 7h + 1 |

Simplify 6 + 7b + 5 | 7b + 11 |

Simplify 10v + 3 - v - 2 | 9v + 1 |

Simplify 5(2r + 7) | |

Simplify 9(9h - 10) | 81h -90 |

Simplify -2(4 + x) | -8 -2x Or -8 + (-2x) Or -2x + 8 |

Simplify -10(8r + 33) | -80R - 330 |

What is the coefficient in 8y - 232 | 8 |

What is the coefficient in 0.92j + 25 | 0.92 |

In 44m + 234, 44 is the | Coefficient |

In 44 - 33y, 44 is the | Constant |

In 12q - 9, what is the constant | 9 |

Define complementary angles | Two angles whose sum is 90 |

Define supplementary angles | Two angles whose sum is 180 |

What is the complement to a 25 degree angle? | 65 |

What is the supplement to a 25 degree angle? | 155 |

What is the complement to an 89 degree angle? | 1 |

What is the supplement to an 89 degree angle? | 91 |

Solve the proportion 5/10 = m/30 | 15 |

Solve the proportion 2/7 = 6/g | 21 |

Solve the proportion n/14 = 3/7 | 6 |

How do you find the constant of proportionality from a graph? | Pick a point, go up and over. Or write the ratio y/x. |

How do you find the constant of proportionality from a table? | Divide the second column by the first column, or the second row by the first row. |

What are the coordinates of the origin? | (0,0) |

What is the probability of a coin landing on heads three times in a row? | 1/2 x 1/2 x 1/2 = 1/8 |