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Algebra Equations Review, Cheat Sheet of Algebra

Equations to remeber before this course

Typology: Cheat Sheet

2014/2015

Uploaded on 01/02/2025

lexi-keller-1
lexi-keller-1 🇺🇸

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Algebra Review
Solve each equation.
1. 2𝑡 + 2
35𝑡
4=11
6 2. 1
10 (𝑚 + 8)1
15 (𝑚 5)= 1
3. 8
5𝑥 2
3𝑥 =4
15 4. 𝑥 − 3
2𝑥 − 4 =𝑥
𝑥 − 2 + 2
Find the slope and y-intercept of each linear equation.
5. −2𝑥 + 3𝑦 = 21 6. 9𝑥 + 3𝑦 = 1
Find the x- and y-intercepts of each linear equation.
7. −5𝑥 + 3𝑦 = 15 8. 𝑥 = 2𝑦 3
Factor each polynomial.
9. 90𝑛327𝑛2+10𝑛 3 10. 𝑥3+ 𝑥2𝑦 + 𝑥𝑦2+ 𝑦 3
11. 10𝑢2+17𝑢 + 3 12. 7𝑛213𝑛 2
13. 4𝑡211𝑡 + 7 14. 2𝑘3 8𝑘
Solve each quadratic equation.
14. 𝑛2 8𝑛 + 12 = 0 16. 𝑦249 = 0
17. 3𝑤2 8𝑤 + 4 = 0 18. 5𝑣2+29𝑣 + 20 = 0

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Algebra Review

Solve each equation.

2 𝑡 + 2 3

5 𝑡 4

11 6

1 10

1

8 5 𝑥

2 3 𝑥

4 15

𝑥 − 3 2 𝑥 − 4

𝑥 𝑥 − 2

Find the slope and y-intercept of each linear equation.

  1. − 2 𝑥 + 3 𝑦 = − 21 6. 9 𝑥 + 3 𝑦 = 1 Find the x- and y-intercepts of each linear equation.
  2. − 5 𝑥 + 3 𝑦 = 15 8. 𝑥 = 2 𝑦 − 3 Factor each polynomial.
  3. 90 𝑛^3 − 27 𝑛^2 + 10 𝑛 − 3 10. 𝑥^3 + 𝑥^2 𝑦 + 𝑥𝑦^2 + 𝑦^3
  4. 10 𝑢^2 + 17 𝑢 + 3 12. 7 𝑛^2 − 13 𝑛 − 2
  5. 4 𝑡^2 − 11 𝑡 + 7 14. 2 𝑘^3 − 8 𝑘 Solve each quadratic equation.

14. 𝑛^2 − 8 𝑛 + 12 = 0 16. 𝑦^2 − 49 = 0

17. 3 𝑤^2 − 8 𝑤 + 4 = 0 18. 5 𝑣^2 + 29 𝑣 + 20 = 0