Chapter 6

Question 1

Order of Operations

Answer 1

Parentheses

Exponents

Multiplication / Division

Addition / Subtraction

Question 2

Direct Variation

y varies directly with x

Answer 2

y = kx

Question 3

Inverse Variation

y varies inversely with x

Answer 3

y = k / x

Question 4

Joint Variation

y varies jointly with x and z

Answer 4

y = kxz

Question 5

Evaluate the expression

-x^2 -8, x =-2

Answer 5

-12

Question 6

Combine Like Terms

2x + 3(x - 2) + 7x

Answer 6

12x - 6

Question 7

Solve the equation

3s + 10 = -32

Answer 7

-14

Question 8

Solve the Equation

(x + 5) / 2 = (x - 3) / 4

Answer 8

-13

Question 9

Determine v

v = lwh and l = 7, w = 4, and h = 3

Answer 9

84

Question 10

Solve for y

6x - 3y = 24

Answer 10

y = 2x - 8

Question 11

Solve for d

a_n=a₁ + (n-1)d

Answer 11

d = (a_n - a₁) / (n - 1)

Question 12

Write the phrase in mathematical terms

The difference between 9 divided by q and 15

Answer 12

9/q - 15

Question 13

a) Write an equation from the sentence.

The product of 3 and a number, increased by 8, is 6 less than the number.

b) Solve

Answer 13

a) 3x + 8 = x - 6
b) x = -7

Question 14

Find the indicated quantity.

s is directly proportional to t. If s = 30 when t = 10, find s when t = 8.

Answer 14

24

Question 15

Find indicated quantity.

z is jointly proportional to x and y and inversely proportional to the square of r. If z =12 when x = 20, y = 8, and r = 8, find z when x = 10, y = 80, and r = 3.

Answer 15

about 426.7

Question 16

Graph the solution set for the set of real numbers.

3x + 8 ≥ 7x + 12

Answer 16

Question 17

Graph the solution set for the set of real numbers.

-3x + 8 ≥ -7x + 12

Answer 17

Question 18

Graph the solution set for the set of real numbers.

-3 < x + 1 ≤ 7

Answer 18

Question 19

Graph the solution set for the set of integers.

4 + 2x > -10

Answer 19

Question 20

Graph the solution set for the set of integers.

-8 ≤ x + 2 ≤ 7

Answer 20