Download Algebra Chapter 3 Review - Rochester Community Schools

Algebra Chapter 3 Review
Name_______________________________
1.) Use addition or subtraction to solve the equation.
a.) x + 9 = 3
b.) x – 5 = 2
c.) x + 4.1 = 6
d.) x + 5 = 4
e.) c – 3 = 8
f.) t + 6 = 10
2.) Use multiplication or division to solve the equation.
a.)
x
3
6
b.)  7 x  49
3
c.  x  5
8
d.)
r
2
10
e.) 4q  32
f.)
a
 3
9
3.) Solve the equation.
a.) 7x + 1 = 4
b.)
x
 10  20
5
c.) 3 + 4x = 11
d.) 7.5a – 10 = –32.5
e.)
t
63
8
f.)  4 
b
 40
2.5
PRACTICE
Vocabulary
4.) Solve Multi-Step Equations
a.) 4 x  3( x  5)  12
b.)  2(4a  5)  6a  10
c.)
2
1
(6 x  1)   19
3
3
d.) 6  3(n  7)  12
e.)  c  4(8  c)  43
f.)
1
3

m   m  2  8
4
4

5.) Solve Equations with Variables on Both Sides
a.) x  4  3x  8
b.) 8t  10  5  3t
d.) 12d  4  6  d
e.)
1
3
m  4   m  18
2
2
c.)  9  4h  2h  3
f.) 4.3  2.3r  7.1  1.9r
6.) Solve the equation, if possible.
a.)  8x  42x  1
b.)  5x  15  5x  3
c.) 73s  3  37s  7
d.)  6  3n  9  6n  27
e.) 6a  1  23a  1
f.) 4(b  5)  5b  4
g.) 8 p  12  4 2 p  3
h.) 5(k  3)  k  3k  5
7.) Write a Ratio
Kim has a jar containing 45 pennies, 18 nickels, 30 dimes, and 42 quarters. Write the specified
ratio in simplest form.
a.) number of nickels to
b.) number of quarters to
c.) number of pennies to
number of pennies
number of dimes
total number of coins
On his report card, Jay earned 2 A’s, 3 B’s, and 1 C. Write the specified ratio in simplest form.
a.) the number of A’s to
b.) the number of C’s to the
c.) the number of B’s to
the number of B’s
the number of A’s and B’s
the total number of grades
A school band orders t-shirts. They order 12 smalls, 10 mediums, and 15 larges. Write the
specified ratio in simplest form.
a.) the number of smalls to
b.) the number of mediums to
c.) the number of larges and
the total number of t-shirts
the number of larges
smalls to the number of
mediums
8.) Solve a Proportion
a.)
2 x

3 15
b.)
7
x

42 84
c.)
5
x

6 72
d.)
x
6

65 39
e.)
x 85

3 51
f.)
8
x

20 15
g.)
13 65

36 w
h.)
2
46

7 s2
i.)
18
3

7x  3 x  2
j.)
7
196

30 m  5
k.)
5
n

8 n9
l.)
18
48

v  1 3v  5
9.) Find a Percent
a.) What percent of 50 is 12?
b.) What is 34% of 60?
c.) 5 is 4% of what number?
d.) 16 is what percent of 20?
e.) 9 is what percent of 50?
f.) What is 5% of 76?
g.) 17 is 25% of what number?
h.) What number is 13% of 42?
i.)What percent of 15 is 13.8?
j.) 84 is 60% of what number?
k.) What is 73% of 2500?
l.) 3 is 4% of what number?
m.) 72 is what percent of 288?
n.) 26 is what percent of 78?
o.) What is 99% of 23?
p.) 66 is 33% of what number?
q.) 18 is 3% of what number?
r.) What is 51% of 9?
10.) Solve a Literal Equation for the specified variable.
a.) Solve y = mx + b for m.
b.) I = Prt for P
c.) A = r2 for r
d.) F + V = E + 2 for V
e.) V = lwh for w
1
f.) V   r 2 h for h
3
g.)
A
1
b1  b2 h for b1
2
h.) s 
1
a  b  c  for a
2
i.) V = r2h for h
11.) Solve the given formula for the unknown variable. Then use the solution to answer the question.
m
, where m is the mass in grams (g) and V is volume
V
in cubic centimeters (cm3). A scientist completely fills a beaker with 28 g of a substance that has
density 0.4375 g/cm3. What is the beaker’s volume?
a.) The density d of a substance is given by d 
1600
, where d is the distance in miles from the
d2
transmitter. If s is 100, how far are you from the transmitter?
b.) The strength s of a radio signal is given by s 
Vo
12.) Write the equation so that y is a function of x.
a.) 3x + 5y = 15
b.) 2x – y = 10
d.) 9y + 27 = –x
e.)
g.) –24 – 16y = 8x
h.) 7 – 3y = 21x
PRACTICE
3
y  2 x  12
4
c.) 8 + 3y = –4x
f.) 5 x 
2
y  30
5
i.) –4x – 5y = 9