Download Semester Exam Review

Semester Exam
Review
January 10, 2011
1. Find the next two numbers in the
pattern, using the simplest rule you
can find.
1. 1, 5, 9, 13, . . . 17, 21
2. 80, 87, 94, 101, . . . 108, 115
2. Give the coordinates and quadrants of each
point.
(1, 3); Quadrant l
Point R is ________________
y
1 unit right, 3 units up
R
T
(0, –3); no quadrant
Point S is _________________
x
U
S
0 units right, 3 units down
(–2, 2); Quadrant ll
Point T is _________________
2 units left, 2 units up
(–3, 0); no quadrant
Point U is ________________
3 units left, 0 units up
3. Graph the figure with the given vertices.
Then find the area of the figure.
(–3, –2), (1, –2), (1, 3), (–3, 3)
Area of a rectangle.
A = bh
y
(–3, 3)
(1, 3)
5
4
(–3, –2)
(1, –2)
x
Substitute 4 for b and
5 for h.
A=4•5
A = 20 units2
4. Evaluate.
a. 21  2(3)
15
b.
4+39
31
c.
2(9) + (3)
21
d.
6(1.4) + 12
20.4
e.
7(2.9)  5
15.3
5. Write an algebraic expression for each
word phrase.
the difference of eight and twice a number
the difference of eight and twice a number
8
–
2
•
x
= 8 – 2x
6. Mrs. Kamerman needs to cover her pool for
the winter. She will buy a rectangular cover
that measures 15.2 feet by 11.5 feet. How
many square feet of plastic cover will she
need?
15.2 ft • 11.5 ft
= 174.8 ft2
7. North Dome trail in Yosemite National
Park is 5 miles to the summit. Two hikers
walk 2 miles before taking a break. They then
hike another 1 miles before taking a second
break. How many more miles do they have to
hike before reaching the summit?
5 miles – 2 miles - 1 mile
=5–2-1
=3-1
= 2 miles
The hikers have 2 more miles to hike before
reaching the summit.
8. Evaluate x(yx – zy) y + x for x = 4,
y = 2, and z = 3.
x(yx – zy) + x y
= 4(24 – 32) + 42
Substitute 4 for x, 2 for y,
and 3 for z.
= 4(16 – 9) + 16
Evaluate the exponent.
= 4(7) + 16
Subtract inside the parentheses.
= 28 + 16
Multiply from left to right.
= 44
Add.
***Any number to the zero power is one (Ex: y0 = 1)
9. Evaluate c3 – d0 if c = 2 and d=6.
c3 – d0
= 23 – 60
Substitute 2 for c and 6 for
d.
=8-1
Evaluate the exponents.
=7
Subtract.
1
2 cup
10. A cookie recipe calls for
of oats.
3
You have 4 cup of oats. How many batches
of cookies can you bake using all of the oats
you have?
Let n = number of batches.
3
1
÷2 =n
4
2
3
• =n
1
4
6
1
n = , or 1 batches of the cookies.
4
2
11. Write each number in scientific notation.
a.
0.0053
5.3  10–3
b.
57,000,000
5.7  107
12. Name the kind of relationship that appears
in the data. (positive, negative or no relation)
a.
Positive
correlation;
both data sets
increase
together.
b.
No correlation;
as one data set
increases, the
other
decreases.
c.
Negative
correlation; as
one data set
increases, the
other decreases.
13. Ms. Pauley’s computer store has had
monthly profits of $800, $550, -$80, -$150,
and $350. What was her store’s average
profit for those months?
800 + 550 + (-80) + (-150) + 350
5
= 1470
5
= 294
The store’s average monthly profit was $294.
14. A penny weighs 2.5 grams. How many
pennies would it take to equal one pound
(453.6 grams)?
453.6 ÷ 2.5
= 181.44
It would take about 181 pennies to equal one pound.
15. Complete the table y = 2x - 3. Graph the
ordered pairs on a coordinate plane and
draw a line through them.
y
x
0
1
2
3
2x – 3 y
2(0) – 3 –3
2(1) – 3 –1
2(2) – 3 1
2(3) – 3 3
(x, y)
(0, –3)
(1, –1)
(2, 1)
(3, 3)
x
16. Linda cell phone plan charges $12 base fee per
month plus $0.05 per minute of use. The equation
below gives t, the total cost of the cell phone bill for a
month in which n minutes are used.
t = 12 + 0.05n
How many minutes did she use if her total monthly bill
was $15.80
t = 12 + 0.05n
Write the equation.
15.80 = 12 + 0.05n
Substitute 15.80 for t.
15.80 = 12 + 0.05n
-12
-12
Subtract 12 from both sides.
3.80 =
0.05
Divide both sides by 0.05.
76 = n
0.05n
0.05
Linda used 76 minutes.
17. Replace the __ with the symbol that
makes a true sentence.
2
3
5
__ 2.75
2.6 __ 2.75
Convert both numbers
into decimals.
2.6 < 2.75
Compare.
18.
Simplify -6(5 + n) – 2n.
-6(5 + n) – 2n
= -6(5) + -6(n) – 2n
Distributive Property.
= -30 + -6n – 2n
Multiply.
= -30 – 8n
Combine coefficients -6 – 2 = -8.
19. Find a function that describes each
arithmetic sequence.
6, 12, 18, 24, …
n
1
2
3
4
n
n•6
1
2
3
4
n
•
•
•
•
•
6
6
6
6
6
y
6
12
18
24
6n
Multiply n by 6.
y = 6n
20. Evaluate each expression for the given
values of the variables.
y  (-13) for y = -4
= -4 – (-13)
Substitute -4 for y.
= -4 + 13
Change subtraction to adding
the opposite.
=9
Add.
21.
Solve
b = -5.
4
4 • b4 = 4 • -5
b = –20
Check
b = -5
4
–20 =? -5
4
-5 = -5 
Multiply both sides by 4.
Substitute –20 for b.
22. A certain cells have diameters of
4.11 x 10-5 meters, 1.5 x 10-5 meters, 5 x 10-3
meters, and 5.11 x 10-3 meters. Put the lengths
in order from least to greatest.
4.11 x 10-5 = 0.0000411
1.5 x 10-5 = 0.000015
Write all lengths in
standard form.
5 x 10-3
= 0.005
5.11 x 10-3 = 0.00511
1.5 x 10-5, 4.11 x 10-5,
5 x 10-3, 5.11 x 10-3
Put in order from least to
greatest.