Download Name: Period: ______ Date

Name: _______________________ Number:________
Period: ________
Order of Operations
1) 2[8 – (54 ÷ 6)]
4)
42 • 8−3 • 62
√16−22
2) 3[42 + (48 ÷ 8)]
3) 162 ÷ [2(7 – 4)2]
5) 15 + |−7| − 2 |−5 + −4|
Expressions
6) Write an expression to represent the perimeter of a rectangle whose width is five less than
twice the length.
7) Write an expression to represent the sum of three consecutive integers.
8) Write an expression to represent the sum of four consecutive even integers.
Properties
9) Identify all the properties that examples of associative property of addition.
A.
4 + (5 + 8) = (4 + 5) + 8
B.
3(2 • 4) = (2 • 4)3
C.
4(n) = 4
D.
ab + (cd + ef) = (ab + cd) + ef
E. (2 • 3) • 4 = 2 •( 3 • 4)
Equations
10) 6n – 3(-3n + 2) = -24 + 6n
12)
3
4
𝑥−
3
5
=
𝑥
4
+
2
5
11) -2(6 – k) = -6(2 + 7k)
13)
3b+6
−1
=
−4b+16
8
14)
−8+6v
4
=
3v
15)
7
2
5
𝑥−4=8−
3
5
𝑥
Literal Equations
16) 15a – 6b = 2c + 13a
17) 𝑟 =
solve for a
Problem solving
18) Find the value of a so that the figures have the same area.
a
8 ft
8 ft
(a + 6) ft
𝑠+6𝑝
5
solve for p
19) Jared works at Target and receives an employee discount of 25% off all purchases. He
purchased a Kindle Fire and paid $300 after his employee discount. What was the original price
of the Kindle Fire?
The Real Number system
20) List the elements of the set: {x │-5 ≤ x < 5, x Є W}.
21) Consider this set of numbers { -7,
−6
48
7
4
, √49, 0, 100, |−11|,
, π}.
Choose all the elements of the set that are Natural numbers.
22) Graph the set that represents the following: {x │ -4 ≤ x < 6, x Є I}.
Functions
If f(x) = 3x – 5 and g(x) = x2 – 3x, find each value.
23) f[g(2)]
24) 2[g(f(7)]
Quadratics
Name the domain and range for each of the following quadratic functions.
25)
26)
Find the Slope
27) (-2, 8) and (6, -12)
29)
28) (-8, 13) and (-6, 6)
30)
Slope =
Slope =
Slope Intercept Form
Graph
31) y = 2x – 1
33)
x – 3y = 9
32) 4x + y = 6
34) x = 7
Write an equation for the line
35) y = ____________
36) y = ____________
System of Equations
Solve the system of equations by substitution. Write answer as an order pair.
37) y = -2x + 1
2x – 2y = 4
38) y = 4x - 11
4x – y = 11
39) 5x + 3y = 26
x=4
40) y = x + 3
y = -3x + 23
Exponents
41) (a4b3)(a4b5)
42) (6a8)(9a2)
43) (8x6y2)2
44) (6m3)(-2n7)2
47)
50)
15ab8
3a5 b2
45) 6a-2b4 • 6a-6d-4
48)
18m10 n3
6m8 n9
46) (a-7b3c)-2
49)
a−6 b4 c
a12 b−3
m−7 np5
m9 p−9
Inequalities
51) 6 + 2x ≤ 12 + 8x – 3x
52) -30 + 5x > 4(6 + 8x)
Graph the following linear inequalities. Remember to check your solutions.
53) y ≤ x – 5
54) y > x + 3
55) 4x – y < 1
56) 2y + x ≥ 8