MATH C -- STUDY GUIDE 1-2

For specific examples on many of these tasks, see study guides R and 1 (Keyed to the previous textbook):

1.1 Find the distance between two numbers:

Find the distance between 18 and –32, or between –15 and –22

1.2 Simplify an expression without variables using order of operations (include exponents): Simplify

1.3 - 1.4 Identify properties of algebra

Matching: Which of the following properties of numbers justifies each example below?

Properties may be used more than once, or may not be used at all.

a. Associative property of addition or multiplication

b. Commutative property of addition or multiplication

c. Distributive property

d. Identity property of addition or multiplication

e. Inverse property of addition or multiplication

Examples ....

a. If 7 + x = 7, then x is 0

b. 3/5 (2x-5) = 6/5 x − 3

c. 3x + 2y - 7z + 5y - 8x = 3x - 8x +2y + 5y - 7z

d. 6 [ (1/3) (2x+5) ] = [6 (1/3)] (2x+5)

e. To solve 3x = 18, divide by 3 or multiply by 1/3

1.4 Simplify an expression with variables using order of operations:

1.5 Translate a verbal phrase into an expression:

a. The sum of four and the product of seven and t.

b. Two less than twice the quotient of R and 15.

2.1 Solve a linear equation (clearing parentheses or fractions)

Solve:

Solve: 4–(3x–2) = 7–5(x–2)

2.2 Solve a proportion. Ex:

2.2 Set up and solve a proportion problem

Ex: find height of tree that casts a 15-foot shadow if a 7-foot sign casts a 4-foot shadow.

2.3 Solve a distance-rate-time problem

2.3 Solve a quantity-rate value problem

Possible types: mixture, ticket sales

2.3 Solve a discount or markup problem for the old price

2.4 Solve a linear inequality

2.5 Solve an absolute value equation

2.5 Solve an absolute value inequality