Name: ________________________________
Advanced Math-7
Period: _____
Module 8 Test Practice
No calculator
1) Which of the following numbers are irrational? Circle all that apply.
2) Write each number in standard form.
a) 3.9 x 104
b) 4.21 x 10-5
3) Write each number in Scientific Notation.
a) 3,450
b) 0.0003578
c) 9.2 billion
d) Three thousandths
4) Johnell has a collection of 40 kandops. The average mass of one kandop was 6.5 x 10-3
grams. What was the total mass of the 40 kandops? Express your answer in Scientific
Notation.
5) Jim Nasium's salary last year was 3.217 x106 dollars last year. Anne Sirkey's salary
surpassed Jim's by $423,000. Write Anne's salary in standard notation.
6) Write the solution to each equation. If the solution is not an integer, use the square root
symbol in your answer.
a) x2 = 64
b) z2= 27
f) 28 = p3
g) 24= g2
c) 81= a2
d) b3 = 125
e) y3 = 1728
7) The relationship between the volume of a cube, V, and the length of each edge, E, is given by
the equation
What is the length, in inches, of each edge of a cube that has a volume
of 216 cubic inches?
8) Below is a list of rational and irrational numbers. Place the numbers in their appropriate
column in the table.
1.546732...
347
-56
-0.39
Rational
Irrational
9) Write each number as a decimal.
a) 54/8
b) 2/9
c) 31/4
d) 8/9
10) Write each number as a fraction. Show work to support your answers
a)
b)
c) 0.
11) Write these numbers in order from least to greatest.
12) Silly Sally used what she thought were the correct exponent rules to simplify each
expression shown below. Explain each of her errors. Then, show the correct simplification of
each expression. (NOTE: parts c and d are on the next page)
a) (5x3)2 = 10x6
b)
= 52
c)
d) 63 x 65 = 615
13) What is the value of h in the equation h2 = 36?
a) h=18
b) h = 6
c) h = 5.4
d) h =
e) h = 1,296
14) Simplify the expression to a single base and exponent (75)4 x (7-3)5 = ?
15) Simplify the expression to a single base and exponent (93)-2 x ( 98) x (9)0
16) 2.4 x 107 is how many times bigger than 6.0 x 104?
17) What is the value of
)0 ?
18) Which expressions are equivalent to 49? Select all that apply.
a) 72 x 70
b) 7-11 x 79
c) 719 x 7-17
d)
e)
19) Ant pile A has a population of 2.876 x 10 7 ants. Pile B has a population of
4.654 x 105 ants. What is the total population of both ant piles?
20) Match each number to its most likely location on the number line.
_____
______
______
21) 1.55 x 10-6 is how many times bigger than 3.1 x 10-8 ?
22) Determine whether the following are rational or irrational. Explain why the number is
rational or irrational.
3.12123123412345… is ________________ because_________________________________.
32/7 is ________________ because_________________________________.
-12. 5
is ________________ because_________________________________.
23) True or false?
_____
2<
_____
7<
24)
<3
_____
<8
_____
State which two consecutive integers each number is between.
a)
c)
____ and _____
____ and _____
b)
____ and _____
d)
____ and _____
25) Find z: 811 x 8z = 820
26) Without solving, determine how many solutions each equation has.
(A unique solution, no solution, or infinitely many solutions, IMS)
a)
b)
c)
d)
–
–
–
27) Look at this equation: mx + 12 = 5x + c. Find values of m and c so that the equation has…
a) unique solution:
m = ________
c = ________
b) no solution:
m = ________
c = ________
c) IMS:
m = ________
c = ________
28) Solve each equation. Show your steps.
–
a)
c)
e)
–
b)
–
d)
–
–
f)
29) The world’s largest Rubic’s Cube is in Branson, Missouri. Its volume is 125 yd3. What is
the length of each edge of this great attraction?