Write an expression from the model below and then simplify the expression.

Positive

Negative

Which equation is modeled on the number line below?
(-56)/(-8) = 3- (-4)=

7.1 (Rational Numbers) No Calculators

Fill in the chart below.
Base of 10 Whole Number or Fraction Decimal Percent
¡¼10¡½^1
¡¼10¡½^0
¡¼10¡½^(-1)
¡¼10¡½^(-2)
¡¼10¡½^(-3)
Place the following in ascending order.

33% 0.303 3.3 ¡Á¡¼10¡½^1 0.03333 ¡Ì9

Place the following number in scientific notation: 2, 304, 000, 000 If there is a square with an area of 81 sq inches, then what is the length of each side?

What is 3/(8 ) as a percent? |-9|-|14|=

7.16 (Properties)
11. Use the following equation to answer the questions below.

Given: 9 + x = -11
Step 1: x + 9 = -11
Step 2: x + 9 - 9 = -11 - 9
Step 3: x + 0 = -20
Step 4: x = -20 What property allows you to rewrite the given as step 1?

What property allows you to go from step 2 to step 3?

What property allows you to go from step 3 to step 4?

7.13 (Expressions)
Write a variable expression or equation for the following sentences.
12. Twelve less than a number. 13. The sum of a number and ten is 13.

14. Two more than the product of three and a number is eleven.
15. A number minus eight.
Evaluate each expression, if w = 2; q = -3; z = 8.

16. qw-z
17. (z-w)^2+w
18. w-q(8^2 )+10 19. 3z-q

7.2 (Sequences)

20. 2, 4, 8, 16, 32, _____, ______, ______.
Arithmetic or Geometric?
What is the common difference or ratio?

Write an expression to describe this sequence.
21. 3, 6, 9, 12, ____, _____, _____.
Arithmetic or Geometric?
What is the common difference or ratio?

Write an expression to describe this sequence.

7.14 (Equations)

Solve each equation! You MUST show your work and do the CHECK!
22. m-(-3)=4

23. t/6-12= -10

24. (c-7)/3=4 25. -5=2x+1

26. Write the equation modeled below, then solve.

7.15 (Inequalities)
27. Solve the following inequality. Circle all of the answers that could be q.
q-9 <4

-13, -5, 0, 2, 5, 13, 15, 19
28. Solve the following inequality and graph your answer on a number line.

-5n¡Ý20

7.12 (Functions)
29. Graph the table of values on the coordinate plane.
x y
0 -3
1 1
2 5
-1 -7

30. What is the rule for the table?
2n - 1
2n + 1
3n
4n ¨C 3

31. Use the vertical line test to determine which graphs are functions. Circle each function.

7.4 (Proportions, Discount & Mark Up)

Round all answers to the nearest whole number, unless told otherwise.
32. Determine whether the equation is a proportion.
2/8=12/48
33. Solve the proportion.
4/x=5/50
34. Devin has 36 baseball cards that are collector¡¯s items. This is only 42% of all the cards he owns. How many baseball cards does Devin own?
35. It takes 3 hours to make 2 cakes from start to finish. How long will it take to make 9 cakes?
36. If 2.54 centimeters = 1 inch, then how many inches is 16 centimeters? Round your answer to the nearest tenth. 37. Dan wants a skateboard that costs $36.95. If the sales tax is 4.5%, then how much will Dan pay in all?

38. What is the sale price on a $14 CD with 30% off? 39. Which is a better buy?
A 17-ounce box of cereal for $4.89
Or
A 21-ounce box of cereal for $5.59

40. The architectural drawing for a house is 0.5 inches = 3 feet. Find the length of each room in the house, given the length of the drawing.

Bedroom 2 inches

Living Room 3 inches

Kitchen 1.4 inches

Dining Room 2.1 inches