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Date: __________________
Algebra I Review
For the soon to be, successful Algebra II student!
Please complete the following to the best of your ability. You must also fill in the
text boxes. They will assist you in finishing the packet.
1.
2.
3.
4.
5.
Compute 3∙|4 – 5|∙|-15| - |-2|
[A]
-47
[B]
-43
[C]
43
[D]
47
Define absolute value as it
applies to a number or
expression.
Solve for y in the equation 2y + 5 = -3y – 10
[A]
y = -3
[B]
y=3
[C]
y = -1
[D]
y=1
Multiply and simplify (4x – 3)(-2x + 1).
[A]
6x2 + 4
[B]
-8x2 +10x -3
[C]
-8x2 -2x -3
[D]
8x2 + 10x -3
FOIL =
Write the answer in scientific notation: 4.5 x 107 – 5.6 x 106.
[A]
-1.1 x 101
[B]
1.1 x 106
[C]
-1.1 x 107
[D]
3.94 x 107
Write the answer in scientific notation: (3.0 x 105) ∙ (1.5 x 10-9).
[A]
4.5 x 10-5
[B]
4.5 x 104
[C]
4.5 x 10-4
[D]
1.5 x 1014
6.
7.
Write the answer in scientific notation: (7.5 x 10-6) ÷ (25 x 10-3).
[A]
3. X 10-18
[B]
3.0 x 10-4
[C]
3.0 x 10-3
[D]
3.0 x 10-2
Which inequality is represented by the following graph?
Show the four main symbols
used to represent inequalities
and describe:
8.
[A]
x<5
[B]
x≤5
[C]
x>2
[D]
x<2
1.
2.
3.
4.
Which inequality is represented by the following graph?
[A]
-5 < x and x > 0
[B]
x ≤ -2 or x > 0
[C]
-5 ≤ x ≤ -2 or 0 < x < 5
[D]
-2 ≥ x > 0
9.
10.
11.
12.
13.
Solve for x in 3x + 2 ≤ - x – 2.
[A]
x≤-1
[B]
x≥-1
[C]
x≤0
[D]
x≥-2
Solve for y in – y + 6 < -4y.
[A]
y<-2
[B]
y>-2
[C]
y<2
[D]
y>2
Greg receives the following scores on his math tests: {90, 83, 78, 95}. What is the minimum
score he must achieve on his fifth and final test in order to obtain an 85% average?
[A]
79
[B]
83.5
[C]
85
[D]
94
The mean of 5, 6x, 11, and -2 is 8. What is the value of x?
Mean –
Median –
3
[A]
x=2
[B]
x=2
[C]
x=3
[D]
x=
13
3
The median of 2, 3, 6, 11, x, and -2 is 4.5. Which of the
following could be the value of x?
[A]
x=1
[B]
x=3
[C]
x = 4.5
[D]
x=6
Mode –
14.
15.
16.
The mode of 2, 8, 9, 8, 4, 4, 8, x is 8. Which of the following could not be the value of x?
[A]
x≠2
[B]
x≠4
[C]
x≠8
[D]
x≠9
If Tina grabs one shirt from a draw containing 2 white shirts, 6 black shirts, and 8 striped
shirts, what is the probability that she will grab a black shirt?
[A]
3
8
[B]
5
8
[C]
3
5
[D]
3
4
Which of the following could be the graph of y – 3 = 2x
[A]
A
[B]
B
[C]
C
[D]
D
17.
18.
19.
20.
What is the slope of the line that passes through (-2, 4) and (7, 1)?
1
[A]
-3
[B]
1
3
[C]
-3
[D]
3
What is the x-intercept of y – 6 = 3(x + 2)?
[A]
(-2, 6)
[B]
(0, 12)
[C]
(-4, 0)
[D]
(0, 0)
What is the formula for the
slope of a line?
What is slope intercept form
of a line?
What is the slope of the line given by the equation 6y – 3x = 12?
[A]
-2
[B]
2
[C]
-
[D]
1
2
1
2
Which of the following equations describes the graph shown?
[A]
y=x-1
[B]
y + 2 = -(x – 1)
[C]
y – 2 = -(x – 1)
[D]
y – 2 = -(x + 1)
21.
22.
23.
24.
25.
1
What is y – 4 = 2(x – 2) in general form?
[A]
y=x+3
[B]
2x – y = -3
[C]
x – 2y = -3
[D]
x – 2y = -6
What is 4x – 3y = 8 in slope intercept form?
3
[A]
y = 4(x – 2)
[B]
y= x-
[C]
y = -3x + 3
[D]
y = 3x – 8
4
3
8
3
4
8
4
If y varies directly as x and y = 6 when x = 9, which of the following equations describes
this variation?
2
[A]
y = 3x
[B]
y=
[C]
y = 2x
[D]
xy = 45
2
3𝑥
3
If y varies directly as x and y = 7 when x = 14, what is x when y = 18?
1
[A]
x=2
[B]
x=9
[C]
x = 12
[D]
x = 36
If y varies inversely as x and y = 4 when x = 2, which of the following equations describes
the variation?
1
[A]
xy = 2
[B]
y = 2x
[C]
xy = 2
[D]
xy = 8
26.
27.
28.
Solve for x in -4|x – 3| = -16.
[A]
x=1
[B]
x = {-7, 1}
[C]
x = {-1, 7}
[D]
x = {∅}
Which of the following ordered pairs (x, y) is a solution to xy = 3x – 9?
[A]
(6, 1.5)
[B]
(1.5, 6)
[C]
(3, 3)
[D]
(0, -9)
Solve the following system of equations for (x, y):
x+y =5
2x – 3y = -5
29.
[A]
(-1, 1)
[B]
(-1,6)
[C]
(3, 2)
[D]
(2, 3)
Solve the following system of equations for (x, y):
4x + y = 0
Name the two methods of
solving systems of equations
shown:
1.
-2x + 5y = 22
30.
[A]
(-4, 1)
[B]
(-1, 4)
[C]
(1, -4)
[D]
(4, -1)
Factor x2 -10x -24.
[A]
(x – 6)(x – 4)
[B]
(x – 6)(x + 4)
[C]
(x – 12)(x + 2)
[D]
(x – 12)(x – 2)
2.
31.
32.
33.
34.
Solve for x in x2 + 6x + 9 = 0.
[A]
x=3
[B]
x = -3
[C]
x = {-3, 3}
[D]
x = {∅}
How many times does the graph of y = -5x2 + 6x – 2 cross the x-axis?
[A]
0
[B]
1
[C]
2
[D]
Infinitely many times
500
Simplify and rationalize the denominator: √ 12
[A]
5√5
6
[B]
5√5
√3
[C]
5√15
3
[D]
5√40
12
Simplify and rationalize the denominator:
√45 4
∙
√3 5√5
[A]
60√5
3
[B]
2√3
5
[C]
4√3
5
[D]
3√4
5
35.
36.
37.
Simplify √1125𝑥 3 𝑦 2 𝑧.
[A]
5xz√15𝑥𝑦
[B]
15xy√5𝑥𝑧
[C]
225𝑥 2 𝑦 2 √5𝑥𝑧
[D]
15𝑥 2 𝑦√5𝑧
What is the degree of the polynomial -5x6y2 + 2x7 + 3x2 + xyz5?
[A]
-5
[B]
4
[C]
7
[D]
8
Simplify 5x2y(-3x – 2xy + x2y).
[A]
-15x2y – 10x2y2 +5x3y2
[B]
-15x3y – 10x3y + 5x4y
[C]
-15x3y – 10x3y2 + 5x4y2
[D]
-25x2y + 5x4y
Describe the difference
between an exponent, or
power, and the degree of a
polynomial?