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Mastering Algebra: Equations and Formulas Guide

Get a comprehensive guide on algebraic equations, solve step-by-step formulas, and ace your math skills with this handy resource.

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Mastering Algebra: Equations and Formulas Guide

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  1. Pg 71-73 # 7-25 ALL Pg74 # 30-41 ALL

  2. -6 |-7 – (-2)| = |-5| = 5 |3 – (-2)| = |5| = 5

  3. a + b = -2 + 3 = 1 2 2 2

  4. 3m + 5 = 4m – 10 – 5 – 5 3m = 4m – 15 – 4m – 4m – m = – 15 – 1 – 1 m =

  5. 50 a+a + 8 = 50 2a + 8 = 50 Combine like terms. – 8 – 8 2a = 42 2 2 a = 21

  6. 61 – 25 = 61 25

  7. 2x + 8 = x + 22 2x + 8 – 8 – 8 2x = x + 14 –x – x x = x + 22

  8. 3x + 31 + 2x − 6 = 180º 5x + 25 = 180º Combine like terms. – 25 – 25 5x = 155º 5 5 x =

  9. 3x + 4x − 15 = 90º 7x − 15 = 90º Combine like terms. + 15 + 15 7x = 105º 7 7 x =

  10. Step 1 Label the points Step 2 Write the formula (0 − (−1))² + − 5)² (4 Step 3 Substitute and solve (1)² + (−1)² 2 ≈

  11. Step 1 Label the points Step 2 Write the formula (6 − (−1))² + − (−1))² (2 Step 3 Substitute and solve (7)² + (3)² 49 + 9 58 ≈

  12. Step 1 Label the points Step 2 Write the formula (5 − (−7))² + − 0)² (8 Step 3 Substitute and solve (12)² + (8)² 144 + 64 208 ≈

  13. Step 1 Label the points Step 2 Write the formula -3 3 -2 2 Step 3 Substitute and solve

  14. Step 1 Label the points Step 2 Write the formula ((−3) − 3)² + − 2)² Step 3 Substitute and solve ((−2) (−6)² + (− 4)² 36 + 16 52 ≈

  15. Step 1 Label the points Step 2 Write the formula −8 4 Step 3 Substitute and solve Multiply both sides by 2 −4 −4 +8 +8

  16. Step 1 Label the points Step 2 Write the formula 9 −5 Step 3 Substitute and solve Multiply both sides by 2 +5 +5 −9 −9

  17. Step 1 Label the points Step 2 Write the formula 0 11 Step 3 Substitute and solve Multiply both sides by 2 −11 −11

  18. P = 8 + 8 + 8 + 8 = A = L × W A = 8 × 8 =

  19. P = 3 + 3 + 5 + 3 + 3 + 5 + 5 + 5 = A = L × W A = L × W A = 5 × 5 A = 5 × 3 A = 25 A = 15 A = 25 + 15 =

  20. C = 2r C = 2r C = 2(3) C = 2(7.5) C = C = A = r² A = r² A = (3)(3) A = (7.5)(7.5) A = A = 56.25

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