Download Algebra Block - Hegner`s Math

Algebra
Chapter 1 Review
Name:__________________________________________
Hegner
BE SURE TO READ DIRECTIONS, SHOW YOUR WORK AND WRITE YOUR ANSWERS ON THE GIVEN LINES.
1) Match each word with the appropriate meaning or example.
expression _____
(a) a letter or symbol that takes the place of a number
evaluate _____
equation _____
(b) the number 8 in the expression 83
(c) a mathematical statement using numbers, variables, and operations
variable _____
(d) the set of all of the inputs of a function
domain _____
(e) a number substituted for a variable that makes an equation/inequality true
range _____
(f) to substitute a number into a variable expression and simplify
inequality _____
(g) 2x  5  7x  9
base of a power _____
(h) the set of all of the outputs of a function
exponent _____
(i) the number 3 in the expression 83
(j) two expressions that are set equal to each other
solution _____
o
FOR PROBLEMS #2-11, CIRCLE THE LETTER OF THE CORRECT ANSWER. SHOW YOUR WORK WHEN
POSSIBLE.
2) If x=4, then 3x+11=?
A. 29
B. 27
C. 25
D. 23
3) Which operation would you perform first
in evaluating 28  4  2 (3  8)
A. Add
B. Subtract
C. Multiply
D. Divide
4) The area of a circle is  times the square of
the radius, where   3.14 . Find the area of
a circle whose radius is 7.55.
A. 18.24
B. 47.41
C. 178.99
D. 357.98
5) Evaluate (2x)2  3y 2 if x=3 and y=2.
A. 24
B. 48
C. 60
D. 72
4 3
r if r=4.1 and  =3.14.
3
Round your answer to the nearest tenth.
A. 51.5
B. 70.4
C. 144.3
D. 288.5
6) Evaluate
8) If r=p+q and s=2p-q, what is r-s when p=5 and
q=6?
A. 3
B. 7
C. 11
D. 15
7) Gravity on the Moon is such that an object
weighs only 16% of what it would weigh on
Earth. If Julie weighs 120 pounds on Earth,
how many pounds would she weigh on the
Moon?
A. 7.5
B. 19.2
C. 104
D. 139.2
9)
7.088  2.64
=?
2  4(3.1 2.6)
A. 1.112
B. 1.310
C. 1.483
D. 1.747
10) Bob has $40 which his grandparents gave
him for Christmas. Bob wants a new pair of
basketball shoes which costs $100. Let
x=amount of money Bob will need to save
from each of his next three paychecks to buy
the shoes. Which equation correctly
represents this situation?
A. x+40=100
B. x-40=100
C. 3x+40=100
x
D.
 40  100
3
o
11) A car rental business charges $45 a day plus
$.08 per mile driven. Which of the following
functions represent the cost of renting a car for
a day, C, with respect to the miles driven, m?
A. C  45m  .08
B. C  .08m  45
C. C  45  .08  m
D. C  45.08m
FOR THE FOLLOWING PROBLEMS, BE SURE TO SHOW ANY WORK THAT YOU DO AND CIRCLE YOUR
ANSWERS.
12) Is x=3 a solution of 5x  x2  21?
13) Is x=5 a solution of 2x2 15  35 ?
14) Write the following statement as an inequality.
15) Write the following statement as an equation.
Two less than a number is less than or equal to
sixteen.
Six more than the quotient of a number and five
is ten.
16) Marco has $9 less than Nancy. If Marco has
$24, how much does Nancy have? (Write a
variable equation and solve it)
17) You have $75 to spend on dvd’s. Best buy has a
sale in which every dvd is $14.99 plus 6% tax.
Write an inequality that represents this
situation. How many dvd’s can you buy?
18) Make an input-output table for the function and
then graph the function.
y  4x 1
19) The amount of money spent on a cell phone bill
is a function of time spent talking. Alex must
pay $40 a month for his cell phone package plus
$.12 for each additional minute past his allotted
time.
INPUT (x)
OUTPUT (y)
0
1
2
3
4
(a) What are the input and output?
(label them with variables)
20
OUTPUT
(y)
15
(b) Write an equation for this function.
10
5
(c) How much would his bill be if he used 70
extra minutes?
1 2 3 4 5 6 7 8 9 10
INPUT
(x)