Name:______Date: ______Page:______

Final Exam Review: Part 1 (packet 1)

1) Write a ratio that is equivalent to ?

2) Maria spent hours doing homework and hours doing chores. Write a ratio, in simplest form, that represents the time she spent doing homework to the time she spent doing chores?

3) Jake can type approximately 990 words in 30 minutes. What is his average typing rate?

4) The elevation of the South Kaibab Trail in Grand Canyon National Park decreases 1,680 feet over 2 miles. What is the average rate of change in feet per mile?

5) Write an equation that best describes the proportional relationship shown in the function table?

x / y
3 / 15
5 / 25
7 / 35
9 / 45

6) Debbie is shopping for apples. She bought four different types of apples. Which rate gives the lowest unit price for apples? (money on top)

a)

b)

c)

d)

7) The scale of a map is 1 centimeter: 20 kilometers. The distance between the two cities on the map is 8 centimeters. What is the actual distance between these cities?

8) The distance from Hartford to Montpelier is 145 miles. The scale on a map is

1 inch: 20 miles. What is the distance between Hartford and Montpelier on the map?

9) Dina buys a birdbath for her garden. The birdbath costs $90. The sales tax rate in her state is 7%. What is the total cost of her birdbath?

10) Drew’s dinner costs $38.25. If he leaves a 15% tip, how much will he spend on dinner and the tip? Round to the nearest cent.

11) Raymond puts $650 in a savings account that pays a simple annual interest rate of 3%. Over 5 years, he does not deposit any additional money into the account. How much interest did the account earn in 5 years?

12) Membership in the Math Club has increased from 60 to 75 students. What is the percent increase in membership?

13) Amy bought a shirt on sale for $16. The original price was $20. Find the percent of discount.

14) What number is the opposite of ?

15) Sammie records the lowest temperature for five consecutive days. She finds the average low temperature to be -12˚F. What is the absolute value of -12?

16) What is the value of the following expression?

- 8

17) Find the sum. 15 + (-9)

18) Find the sum. -5.4 + (-4.6)

19) What expression is modeled on the number line?

20) Matt’s balance in his bank account is -$7.65. He spends another $4.54. Evaluate the expression below to find his new account balance (Matt better smarten up, financially).

-$7.65 + (-$4.54)

21) The outdoor temperature is decreasing by 3˚F every hour. If the temperature at noon is 10˚F, what will be the temperature at 6pm?

22) Evaluate. - 8 – (-14)

23) Find the product.

24) What is the decimal equivalent of ?

25) Find the absolute value.

26) Add. -11 + (-7)

27) What is the value of the following expression?

9 – (-5) • 3

28) Solve.

29) Joshua received on a recent exam. What is his score expressed as a percent? (Percent means “out of 100”)

30) Factor the expression. 8rt + 40t