Your Algebra Homework Can Now Be Easier Than Ever!

Diagnostic Test

• Choose the best answer.

1. Find the value of .

2. On a class field trip, there was 1 adult for every 8 students. If a total of 54 students and adults went on the trip, how
many were students?

3. According to a report published in 1999, the population of Dallas was 1,063,292. What does the 6 in this number
represent?

a. Six thousand

b. Sixty thousand

c. Sixty-three thousand

d. Six hundred thousand

4. Which is a prime factor of the composite number 18?

The shaded area of the figure on the left represents:

Find the line segments a and b.

7. Find the prime factorization of 60.

The radius of a circle is 20 cm . Find the area of the circle.
Given that the area of a circle = πr2 , r is radius, and π ≈ 3.14

9. Stephanie bought a basketball on sale for $15, which was 1/5 off the original price. What decimal represents the
discount she received?

10. Conner’s parents asked him to save 2/5 of his allowance each week to help pay for summer camp . What percent of his
allowance did Conner’s parents ask him to save?

11. The cost of Matt and Natalie’s dinner was $27.35. They want to leave a 20% tip. Which of the following is closest to
the amount of the tip they want to leave?

12. The fraction is found between which pair of fractions on a number line?

13. Meg and Annie made 48 cupcakes for a party. They decorated each cupcake with 10 chocolate chips. How many
chocolate chips did they use to decorate all 48 cupcakes?

14. Mrs. Smith bought 2 dozen cans of soda priced at 6 cans for $1.98 and 18 bottles of water priced at 6 bottles for $2.16.
What is the total amount she spent, not including tax, on soda and bottled water?

15. A company published 110 books last year, and 8 of them became best-sellers. Which best represents the percent of
books the company published last year that did NOT become best-sellers?

16. A recipe that makes 18 cookies calls for 3 cups of sugar. How much sugar is needed to make 24 cookies using this
recipe?

17. Which number is best represented by point P on the number line?

The models are shaded to show that

19. The points P and R on the number shown below represent the numbers:

20. Divide :

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