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Problem-solving with Equations and Systems in Mathematics

roberthowland avatar
roberthowland
27 diapositives · 302 Views · Jan 06, 2020

Solve various equations and systems of equations to find solutions in mathematical problems. Learn practical applications of algebra in real-life scenarios.

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Problem-solving with Equations and Systems in Mathematics
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  1. How many liters of a 40% solutions must be mixed with 60 liters of a 80% solution to get a 70% solution? 20 liters BACK

  2. In a chemistry class, 3 liters of a 4% silver iodide solution must be mixed with a 10% solution to get a 6% solution. How many liters of the 10% solution are needed? 1.5 liters BACK

  3. Decide whether (-2, 1) is a solution to the system: 4x + y = -9 3x + 4y = -10 No BACK

  4. Decide whether (-4, 2) is a solution to the system: 2x + y = -9 3x + 2y = -8 No BACK

  5. Decide whether (-6, 1) is a solution to the system: x + y = -5 x - y = -7 Yes BACK

  6. Solve for b. b = 2A/h BACK

  7. Solve for b1. b1 = 2A/h − b2 BACK

  8. Solve for s3. S3 = P − s1 − s2 BACK

  9. Walt made an extra $9000 last year from a part-time job. He invested part of the money at 8% and the rest at 7%. He made a total of $680 in interest. How much was invested at 7%? $4000 BACK

  10. Solve the system. (6, −4) BACK

  11. Solve the system. −x – 3y = −23 6x + 3y = 33 (2, 7) BACK

  12. Solve the system 7x – 7y = 91 2x + 3y = −9. (6, −7) BACK

  13. Solve the system. (4/5, 1/7) BACK

  14. Solve the system. 5x + 3y = 80 2x + y = 30 (10, 10) BACK

  15. Solve the inequality. | z + 1 | > 0 [−1, ∞) BACK

  16. Solve the inequality. | r + 4 | > 4 (− ∞, −8)  (0, ∞) BACK

  17. Solve for x: | x | > 8 (− ∞, −8)  (8, ∞) BACK

  18. Solve for x: | 7 – x | < 13 [−6, 20] BACK

  19. Is the following an expression or an equation? X=15 BACK

  20. Is the following an equation or an expression? (y – 6) – (y – 3) = 7 Equation BACK

  21. Is the following an expression or an equation? Expression BACK

  22. Is the following an expression or an equation? 5(y + 6) + 6(y – 3) Expression BACK

  23. After receiving a discount of 15.5% on its bulk order of printer toner, Best Office Supply pays $2197. What was the price of the order before the discount? $2600 BACK

  24. An investor bought 100 shares of stock. The value of the shares went up 7% and then he sold them. How much did the investor pay for the 100 shares if he sold them for $1284? $1200 BACK

  25. If 6 times a number is added to −4, the result is equal to 10 times the number. What is the number? The number is −1 BACK

  26. Solve the system. 4x − 8y = 24 x = 2y + 6 This is an dependent system. There are an infinite number of solutions. BACK