Microsoft Word - 1) Math_Review_Introduction to Algebra.docxName:_____________________________________________ Date:_____________________ Math Review – Introduction to Algebra
3 | K r u c z i n s k i M a t h R e v i e w
Basic Algebra Vocabulary
Word Definition Examples
Variable Unknown or changing quantity. Usually represented by a letter. ;, =, >, ?, @, A
Coefficient A number used to multiply a variable.
BD EFDGGHEHDIJ HK ! $
Term In Algebra a term is either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs.
L + 2M + 2 5 N
This expression has 3 terms.
Part 1: State the coefficients of the following terms. a) M
b) 5LN
"
Part 2: Determine the number terms in the following algebraic expressions.
a) T + 2
e) U V
Evaluating Expressions
Part 1: Evaluate the following expressions with the given values for the variables. Write your answer an integer or simplified fraction.
a) 4M + 2 when y = 3.
b) N + L when z = 7 and x = 2. c) 4M + 3L when x = 5 and y = – 4. d) 2M7 + 4L when x = 2 and y = 3 e) |2 − X |+K7 when s = 3 and r = 7 f) 10 − 2M when y = –4.
g) L − M when x = –3 and y = 12. h) |7\ − 2I| when n = 5 and q = 3. i) T7 + 3M when w = – 2 and y = 3 j) (Q − 2) − P7 when a= 12 and b = 3. k) √N + L when x = 2 and z = 7. l) P7 + ]R when b = -3 and p = 16.
Name:_____________________________________________ Date:_____________________ Math Review – Introduction to Algebra
4 | K r u c z i n s k i M a t h R e v i e w
Part 2: Evaluate the following expressions with the given values for the variables. Write your answer an integer or simplified fraction.
1. Evaluate the following expression when L = 3, M = 64, and N = −4. Write your answer an integer or simplified fraction.
a. M + 5 S_ + !`
_b S !7
2. Evaluate √P7 − 4QE when a=1, b = 8, and c = 16
3. Evaluate bc±]c _b0ef
7e when a =1, b = 6, and c = 9
Part 3: Solve the following word problem. Write your answer an integer or simplified fraction unless otherwise indicated.
1) The cost formula for a manufacturer’s product in dollars is 6000 + 3y, where y is the number of units manufactured. If the manufacturer produces 3000 units, what is the cost?
2) A prism with length , width w, and height h has volume V=wh. Find the volume of a prism which has a base of 5 meters by 3 meters, and a height of 4 meters.
3) A chemist knows she will need 5I + h
!i liters of
solution to produce n grams of product N and m grams of product M. How many liters of solution will the chemist need if she wants to produce 2 grams of product N and 40 grams of product M?
4) The power consumed by an electric light bulb is given by the formula j = 121L7, where x is the number of amperes of electric current passing through it. How much power will this light bulb consume if there is a current of 0.91 amperes passing through it? (Round to the nearest whole number.)
5) An orange grower grows three types of orange
trees. The formula which describes how many bags of oranges she produces is 9Q + 16P + 10E, where a is the number of trees of Type A she has, b is the number of trees of Type B, and c is the number of trees of Type C. How many bags of oranges will the grower produce if she has 10 trees of Type A, 5 trees of Type B, and 20 trees of Type C?
James Kruczinski
James Kruczinski
James Kruczinski
James Kruczinski
James Kruczinski