2. Standard
1.0
1)
The absolute value of any number will always
be positive, thus the equation |5 – 6m| > - 7
will always be true!!
3. Standard
1.0
2)
10 5x 7 62 10 5x 55
10 5x 55 10 5x 55
5x 45 5x 65
x 9 x 13
4. Standard 2.0
3. Which order pair is the solution to the system of equations below?
x 7 y 20 Solve for x x 7 y 20
4 7 y 20 4 y 16 Substitute for x x 7(2) 20
28 y 80 4 y 16 Distribute x 14 20
32y 80 16 Combine Like Term x 6
32y 64 Combine Like term
y 2 Solve for y
5. Standard 2.0
4. Which order pair is the solution to the system of equations below?
8 x 2 y 20 4x y 2
2 4 x y 2 Multiply 2 to equation 2 4x 6 2
8 x 2 y 20 4x 4
Add the two equations
8x 2 y 4 x 1
4y 24 y 6
6. Standard 2.0
5) Ms. Cheung’s current phone plan is about to
be expired. She has been offered two
promotions from two different phone
providers. AT&T provides a 500 minute plan at
$30 with 40 cents per text message. T-Mobile
provides a 500 minute plan at $40 with 30
cents per text message. If x represents the
number of text sent and y is the total amount
charge for both plans, how do you write a
system of equations that model this situation?
y 30 0.4 x
y 40 0 .3 x
7. Standard 2.0
6) Gerardo wrote a matrix equation.
4 3 x 20
1 2 y 6
What is the solution to Gerardo’s equation?
4 3 x 20 4x 3 y 20
1 2 y 6 x 2y 6
4x 3y 20
2, 4
x 2y 6
8. Standard 2.0
7) Jackie wrote a matrix equation.
2 1 x 3
3 2 y 6
What is the solution to Gerardo’s equation?
2 1 x 3 2x y 3
3 2 y 6 3x 2 y 6
2x y 3
0, 3
3x 2 y 6
13. Standard 3.0
12)
Given a polynomial expression x 4 10x 3 35x 2 50x 24
such that it has two factors of ( x 1) and ( x 4).
A) (x 1) and ( x 2).
1 4 4
B) (x 1) and ( x 3).
C) (x 2) and ( x 3). 2 3 6 24 4 6
D) (x 3) and ( x 4).
21. 20)
2
p 4 0 a 1, b 0, c 4
0 0 2 4 (1)( 4 ) 16 4
x 2 (1) 2 2 x 2 or x 2
22. 21)
6x 2
5x 25 0 a 6, b 5, c 25
5 52 4 ( 6 )( 25) 5 25 600 5 625 5 25
x 2(6) 12 12 12
5 25 5 25
x 12 or x 12 x 5
3 or x 3
5
23. Standard 9.0
22. Given the graph f(x)=ax2+bx+c. If a is
negative, what would my graph look like?
f(x)=ax2+bx+c is a Quadratic
Equation since it has a
A) A linear graph going up power of 2.
B) A linear graph going up Since a is
C) A quadratic graph going up negative, the graph
will be going
D) A quadratic graph going down downward.
24. Standard 9.0
23)
Vertex
(-3, -2)
Vertex From (-3, -2) to (2, 2)
(2, 2) We get ( 2, 2)
( 3, 2)
(2 3, 2 2)
(5, 4)
Positive 5, so it’s 5 unit to Positive 4,
the right. 4 units UP!!
25. Standard 9.0
24)
Vertex
(5, 1)
Vertex
(-5, 1)
Both functions are
positive, so their vertices
are minimums.
Both functions
have the same
coefficient: 3, both
have the same
shape.
Both functions are
positive, so both
vertices are minimum.
26. Standard 10.0
25) What is the minimum value of the function
f(x)=x2 – 9?
Minimum The lowest Point!
A) –9 Find the vertex!
B) –3 X= - b/2a
X = 0/2 = 0
C) 0
y = 0 – 9= -9
D) 9
The lowest Point!
30. Standard 24.0
29) Which of the following functions is the
inverse of f(x) = 3x – 2?
A) 1 3
f ( x) x 2
B) f 1 ( x) 3
x 2
1 x 2
C) f ( x) 3
D) f 1 ( x) x 2
3
31. Standard 7.0
30) Rewrite the following exponents to positive
exponents.
x 2
A) f ( x) 3
y
2 5
x y
B) f ( x) 4 2
x y
36. Standard 22.0
35)
Strategy: Convert to decimal
=0.5 + 0.25+ 0.125 + 0.625 + …
=0.5 + 0.25+ 0.125 + 0.0625 + …
=0.9375
Closest to 1
37. Standard 22.0
36)
Strategy:
1st term 2nd term term 4th term5th term Substitute n=1, 2, 3, 4, 5
3rd
into the answer choice to
n=1 n=2 n=3 n=4 n=5 see if the term generated is
= 4(1) = 4 (first term) same as the question
the
= 3+4(1) = 7 (first term)
= 2(1)+1 = 3 (first term)
= 2(2)+1 = 5 (second term)
= 4(1)-1 = 3 (first term) = 4(2)-1 = 7 (second term)
= 4(3)-1 = 11 (third term) = 4(4)-1 = 15 (fourth term)
= 4(5)-1 = 19 (fifth term)
38. Standard PS 1.0
Strategy: Identify Keywords
37)
P(cm label & no labels)
Multiply
No. of rulers
No. of rulers
with cm labels
without labels
One less ruler
Total No. of
Rulers
39. Standard PS 1.0
38)
Strategy:
Identify Keywords
Not raining in San Francisco
Multiply
and not raining in Sydney
P(not raining in SF & not raining in Sydney)
40. Standard PS 1.0
Strategy:
39) Identify Keywords
Green and green Multiply
P(green & green)
No. of green
marble in 1st No. of green marbles
bag in 2nd bag
Total No. of
Total No. of
marbles in 2nd
Marbles in
bag
1st bag