Chapter 1 Review

Translate that Phrase

100

two plus twelve divided by four

2 + 12 ÷ 4

200

the sum of three and seven divided by two

(3 + 7) ÷ 2

300

eighteen decreased by three times d

18 - 3d

400

four less than the product of twelve and a number

12n - 4

500

The Plaid Taxi Company charges $1.75 base fee plus $3.45 per mile. Danny plans to take a Plaid taxi to the airport. Write an expression to find the cost for Danny to take the taxi m miles to the airport.

1.75 + 3.45m

Order of Operations

100

18 ÷ 9 + 2 * 6

14

200

4(16÷2 + 6)

56

300

13 - ¹/₃(11 - 5)

11

400

3[4 - 8 + 4²(2 + 5)]

324

500

25 + [(16 - 3 * 5) + (12+3) ÷ 5]

29

Variable Expressions

100

g + 6t, when g = 2, r = 3, and t = 11

68

200

xy + z, when x = 6, y = 8, and z = 3

51

300

5x - (y + 2z), when x = 6, y = 8, and z = 3

16

400

a²bc - b², when a = 8, b = 4, and c = 16

4080

500

(3y + x²) ÷ z, where x = -3, y = 4, and z = -5

-4.2

Properties

100

3 + 2 = 5 and 2 + 3 = 5 show which property of numbers?

Commutative

200

Distribute the following expression: -4(2x - 5)

-8x + 20

300

4 + 17 = 21, then 21 = 4 + 17 displays what property of numbers?

Symmetric

400

x + 3 = x + 3 shows which property of numbers?

Reflexive

500

Always, Sometimes or Never: The commutative property holds for subtraction.

Sometimes (a number minus itself)

Absolute Value

100

|12 + 2t|, when t = -2

8

200

|16 + 4(3q + p)|, when p = 2 and q = -6

48

300

-|10 - 7r + 8m + 2p|, when m = -4, p = 2, and r = 5

-53

400

|y - 2z| - 3, when y = 3 and z = -4.2

8.4

500

14 + 2|3c + 10a|, when a = -¹/₂ and c =-²/₃

28