Name


Class


Date

Quadratic Equations

4-5

Practice

Form K

Solve each equation by factoring. Check your answers. To start, factor the quadratic expression.

1. x2x30=02. x210x=213. x2=10x9

4. x25x=05. 10x24=x26. x2=12x

Solve each equation using tables. Give each answer to at most two decimal places. To start, enter the equation as Y1. Make a table and look for where the y-values change sign.

7. x2+x=128. 10x2+26x+16=09. 2x2+11x=6

10. 2x213x+18=011. 2x2=10x12. 0.5x28=0

Write a quadratic equation with the given solutions.

13. 4and514. 6and015. 3and8

16.WritingExplain when you would prefer to use factoring to solve a quadratic equation and when you would prefer to use tables.

17. Aparabolicjoggingpathintersectsbothendsofastreet.Thepathhasthe equation x2 25x = 0. If one end of the street is considered to be x = 0 and the street lies on the x-axis, where else does the path intersect the street?

Prentice Hall Foundations Algebra 2 • Teaching Resources

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

45

Name


Class


Date

4-5

Quadratic Equations

Practice (continued)

Form K

Solve each equation by graphing. Give each answer to at most two decimal places.

18. 2x2x10=019. 6x213x=2820. 4x2+27x=12

21. 4x25x26=022. 6x223x=1823. 4x29x+5=0

24. The students in Mr. Wilson’s Physics class are making golf ball catapults. The flight of group A’s ball is modeled by the equation y = 0.014x2 + 0.68x,where x is the ball’s distance from the catapult. The units are in feet.

a.Howfardidtheballfly?

b.Howhighabovethegrounddidtheballfly?

c.Whatisareasonabledomainandrangeforthisfunction?

25. Arectangularpoolis20ftwideand50ftlong.Thepoolissurroundedbya walkway. The walkway is the same width all the way around the pool. The total area of the walkway is 456 square ft. How wide is the walkway?

26. ReasoningThe equation used to solve Exercise 25 has two solutions. Why is only one solution used to answer the question?

Prentice Hall Foundations Algebra 2 • Teaching Resources

Copyright © by Pearson Education, Inc., or its affiliates. All Rights Reserved.

46