Exam 5 Review MTH 120 Beginning Algebra

Chapters 9 and 10

Simplify.

1) 2) 3)

4) 5) 6)

7) 8) 9)

10) Solve:

11) Solve:

12) Find the value of x in the triangle below.

13) Find the value of x in the rectangle shown:

14) Find the length of the line segment between the points and .

15) Solve the quadratic equation by using the square root property:

16) Solve the quadratic equation by using the square root property:

17) Solve the quadratic equation by using the square root property:

18) Solve the quadratic equation using each of the following methods.

a) Completing the Square

b) Quadratic Formula

19) Solve the quadratic equation using each of the following methods:

a) Completing the Square

b) Quadratic Formula

20) Given:

a) Determine whether the graph of the equation would open upward or downward. Explain your answer.

b) Write the coordinates of the vertex of the graph of the equation.

c) Write the coordinates of the y-intercept of the graph of the equation.

d) Write the coordinates of the x-intercepts of the graph of the equation,

if they exist.

e) Graph the equation.

21. The product of two positive consecutive odd integers is 483. Find the two integers.

(Be sure to set up a quadratic equation to solve.)

22. Melissa and George have two children. Their daughter is 5 years older than their son. The product of the children’s ages is 24. How old is the daughter?

(Be sure to set up a quadratic equation to solve.)

23. Carrie is making a rectangular garden. She needs 700 square feet to plant all the

vegetables she wants. She also wants the length to be 15 feet more than the width. Find the dimensions she should make the garden. (Be sure to set up a quadratic equation to solve.)

Math 120 Exam #4 Review - Chapters 7 and 8 Answer Key

1)

2)

3)

4)

5)

6)

7)

8)

9)

10)

11)

12)

13)

14)

15)

16)

17)

18a)

18b)

19a)

19b)

20) Given:

a) Opens downward because the coefficient of x² is negative.

b)

c)

so y-intercept or

d)

e)

21. The product of two positive consecutive odd integers is 483.

Find the two integers.

(Be sure to set up a quadratic equation to solve.)

22. Melissa and George have two children. Their daughter is 5 years older than their

son. The product of the children’s ages is 24. How old is the daughter?

(Be sure to set up a quadratic equation to solve.)

23. Carrie is making a rectangular garden. She needs 700 square feet to plant all the

vegetables she wants. She also wants the length to be 15 feet more than the width. Find the dimensions she should make the garden. (Be sure to set up a quadratic equation to solve.)