Download ALGEBRA 1 I will show my mastery of Chapter 6 .

ALGEBRA 1
SEMESTER EXAM REVIEW
1.)
I will show my mastery of Chapter 6 ________________.
Determine the slope in each of the following situations.
a.)
2.)
b.)
(2, -3) and (-4, -6)
c.)
x – 5y = 10
d.)
e.)
perpendicular to y = 3x – 5
f.)
parallel to x = 8
b.)
perpendicular to y = 3x – 1
passing through (-6, 9)
Write the equation of the line for each situation.
a.)
slope of -4
passing through (3, -1)
Equation: ____________________
Equation: ____________________
c.)
d.)
Equation: ____________________
3.)
Equation: ____________________
Graph the following.
3
x+2
4
a.)
y=
c.)
y = -2
b.)
d.)
2x – 4y = 8
4x – 7y = 28
e.)
x=5
ALGEBRA 1
SEMESTER EXAM REVIEW
1.)
Solve each system of equations using the substitution or elimination method.
2 x  5 y  21
a.
x  3y  6
y  4x  2
c.
2.)
b.
d.
3x  7 y  8
2 x  y  11
2x  3y  4
3x  5 y  13
4x  y  18

3x  y  3
(3, -6)
(4, -2)
(-2, 4)
(-6, 3)
If a system of equations does not have a solution, then the lines in the
coordinate plane are __?__.
a.)
b.)
c.)
d.)
4.)
 8x  2 y  7
Solve:
a.)
b.)
c.)
d.)
3.)
I will show my mastery of Chapter 7 ________________.
3._________
intersecting
parallel
perpendicular
the same line
If a system of equations has infinitely many solutions, then the lines in the
coordinate plane are __?__. (use same answer bank as #3)
4.________
ALGEBRA 1
SEMESTER 2 REVIEW
1.)
2.)
Chapters 9 will be conquered _____________________
Simplify each of the following. Then, classify the polynomial by its degree and its terms.
a.
(3a 2  9a  8)  (5a  a 2  10)
b.
( 4 x  9 y )  (3 y  2 x )
c.
(2 x  7)( x  8)
d.
(4n 2  3  7n)  (2  5n  n 2 )
e.
4  6(3 y  8)  ( y  2)
f.
( x  6)(4 x  5)  4(7 x  2)
Factor each of the following expressions completely. Just remember, what should you look for 1 st ?
a.
4x3 – 16x2 – 84x
b.
36 x 2  49 y 2
c.
5x2 – 20
d.
x2 – 8x – 48
e.
2 x 2  5 x  18
f.
9x2 – 12x + 4
3.)
Which polynomial is best described as a quadratic trinomial?
a.)
b.)
c.)
d.)
4.)
What is the degree of: 2x3y – 5xy2 + 9x3y2?
a.)
b.)
c.)
d.)
5.)
9x2 + 2x – 2
9x2 + 2x + 2
10x2 + 2x – 2
10x2 + 2x + 2
What is the simplest form of:
(6w2 – 5wz – 3z2) – (4w2 + 6wz – 8z2)?
a.)
b.)
c.)
d.)
8.)
quadratic binomial
quadratic trinomial
cubic binomial
cubic trinomial
What is the simplest form of: (9x2 + 4x – 6) + (x2 – 2x + 4)?
a.)
b.)
c.)
d.)
7.)
3
4
5
12
The polynomial 5x2 + x3 can be best described as a:
a.)
b.)
c.)
d.)
6.)
x2 – 5x + 2
x2 – 3x
3x2
x3 + 3x2 – 4
2w2 – 11wz + 5z2
2w2 – 11wz – 5z2
2w2 + wz – 11z2
10w2 + wz – 11z2
Factor. x2 + 16
a.)
b.)
c.)
d.)
(x – 4)(x – 4)
(x + 4)(x – 4)
(x + 4)(x + 4)
prime
ALGEBRA 1
SEMESTER 2 REVIEW
1.
Rewrite each product using exponents.
a.
c.
2.
b.
d.
 xxxx
( 5  5)( x  y )( x  y )
4x  4x  4x  4x  4x
3 v  v  v  v
Rewrite each of the following using positive exponents only.
a.
3.
I will now amaze you with my knowledge of ch. 8________________
 8 x 7
y3
b.
u6
w3
mn 3 p 8
c.
Simplify each of the following expressions.
a.
( 9a 3b5 )(2ab3 )
c.
 2 x
e.
( 3ab7 )( 4b5 )
30b  5a 3

3 4 2
y
b.
36 d 7 h 4
20 dh11
d.
 x 9 y 
 6 
 z 


f.
 4c
3

 2 10 2
d
4.)
4 x3  2 y 2  5 y 5  x 8
Simplify the expression:
x2
a.) 
40 y 3
b.)
5.) Simplify the expression:
a.) x
b.)
14
6.) Simplify the expression:
a.)  h
20
b.)
40 y 3
 5
x
x  x 
9
0
7
x15
 h 
4
h9
c.)
2 x5
 3
5y
d.)
5 y3

2x
c.)
x18
d.)
x126
c.)
h1
d.)
h 20
2
5
ALGEBRA 1
SEMESTER 2 REVIEW
1.)
Sketch the graph of a parabola which has…
a.
2.)
a zero discriminant, but a positive
leading coefficient
b.
a negative discriminant, and a negative
y-intercept
Identify if the following equations are linear, quadratic, or neither.
y  x4
a.
d.
y  3x  1
b.
c.
3.)
I will now amaze you with my knowledge of ch. 10________________
y  5x
2x  3y  9
e.
f.
y  x2  8
y  3x  5
Identify if each parabola is narrower or wider than that of y  x 2 . In addition, identify if the parabola
opens up or down, and if the vertex is a maximum point or a minimum point.
a.
y  3x 2  4 x  1
b.
y  2 x 2  7
5
y  x2
4
y  0.8 x 2  2 x  3
c.
d.
4.)
Find the value of the discriminant for the following equation. Then, identify what this value tells you about
the graph of this function.
a.
5.)
7 x 2  3x  5  0
b.
 3x 2  8 x  11  0
b.
(x – 2)(3x + 4) = 0
d.
x 2  3x  2  0
Solve each of the following equations.
a.
(2 x  3)( x  9)  0
c.
3x 2  27 x  0
hmmm, what to do 1st?
hmmmm…
6.)
Solve each of the following
a.
5 y 2  11 y  8  6
b.
3x 2  8 x  12
c.
5a 2  11a  2  a 2  8
d.
2h 2  9h  3  h 2  7h
e.)
28 = 4n2
f.)
-3x2 – 27 = 0