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Algebra 2
Semester 1 Exam Review
Worksheet 1
Name _______________________
1)
2) Solve. –7x < 28
Right now you have $50 in a bank account.
You want to buy a snowboard that costs $400.
If you decide to put $25 a week in your
account. How many weeks until you can
buy the snowboard?
3) Solve. 3x – 20 < 12x + 7
4) Solve. 5(x – 2) > x + 10
5) Solve. 6x + 2 = 26
6) Write the expression using exponents.
c c c c c c
7)
Evaluate. –7 + 4(-2 + 5)2
8) Evaluate. 10 - 80  5 + 3  6
9)
Simplify. 4x – y + 7y + 5(2x - 3y)
10) Evaluate 7x – 6 when x = 4.
11) Evaluate -3x2 – 5x - 28 when x = -4.
12) Solve. 4(3x + 5) = -3(2x + 3) + x
13) Solve. 7x + 26 = -3x – 4
14) Graph
10 and -
25
on a number line.
6
Algebra 2
Semester 1 Exam Review
Worksheet 2
1) Which graph below is a function?
Name _______________________
2) Which function is represented by the graph
shown?
a.
y  x 3 2
b. y  x  5  2
c.
y  x3 2
d. y  x  2  3
3) If g(x) = x2 + 4x – 7, find g(-3).
4) What is the slope of the line that
that passes through (-7, 5) and (-2, 9)?
For numbers 5 and 6 show me the graphs on your calculator and then sketch the graph.
5) Graph. -3x – 4y = 8
6) Graph. y  x  3
7) What is the slope and y-intercept of the line
y= -
8) Write the equation of the line that passes
through the point (3, 1) and has a slope of –5.
2
x + 4?
3
9) Write the equation of the line that passes
through the point (-1, -9) and is parallel
to the line y = 2x – 3.
10) What is the correlation represented by
each of the scatter plots shown below?
Algebra 2
Semester 1 Exam Review
Worksheet 3
Name _______________________
1) Solve by substitution.
-10x + 3y = 24
x  7 y  17
2) Solve by elimination
4x – 5y = 21
3x - 2y = 14
3) Solve by elimination.
4) Solve using the quadratic formula.
15x – 21y = 22
-5x + 7y = 10
5) Solve using the quadratic formula.
2x2 – 6x + 3 = 0
7) Evaluate.
2 5O L
7 8O
L

M
1  6P
N9  4P
QM
N
Q
6x2 - 7x + 2 = 0
6) Solve using the quadratic formula.
3x2 + 5x = 1
8) Is the following relation a function?
x y
-7 -2
-5 6
0 3
1 2
1 5
9)
What are the solutions of x2 = 36?
11) Solve by graphing. x2 - 4x = 5
13) Evaluate. 3
2 0O L
-7 3 O
L
- 2M P
M
P
-4 5 Q N
6 1Q
N
10) Solve by graphing. x 2  4 x  21  0
12) If D is a 3 x 7 matrix and E is a 7 x 2 matrix,
what are the dimensions of DE?
14) Multiply.
-3 4 O L
0 3 1O
L
 M
M
P
2 - 5 - 4P
N1 - 5Q N
Q.
Algebra 2
Semester 1 Exam Review
Worksheet 4
Name _______________________
1) Solve using matrices, show set up.
x + 2y = 18
7x + 4y = 24
2) Solve using matrices, show set up.
x-y=5
-2x + 3y = -9
3) Solve using matrices, show set up.
2x – 2y + z = -9
y – z = -1
x + 3y + 2z = 8
4) Simplify completely.
5) Simplify completely.
54 · 50
6) Factor. x2 – 11x + 30
360
7) Factor. x 2  49
8)
2
10

9) Factor. 3x2 + 24x + 36
11) Is (2,3) a solution to the following system?
3 x  4 y  18
 x  3 y  11
Solve for x and y.
6   2 2x

y  3 10 11 
10) Solve by factoring.
3x2 – 5x – 15 = 2x2 – 2x + 13
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