Number Sense:
 Multiplication Facts – memorized thru 12
 Perfect Squares – memorized thru 20


Perfect Cubes – memorized thru 10
Operations with Integers
 Operations with Fractions including reducing, finding common denominators, cross-multiplying, converting between improper & mixed numbers, and converting between fractions and decimals and percents
 Converting between scientific and standard notation
Practice
1.
Find the products.
A.
12(8) B.
2.
Complete the following tables.
𝟏 𝟑 𝟐 𝟑 𝟑 𝟑
6 ∙ 9
𝟒 𝟑 𝟓 𝟑 𝟔 𝟑
C.
8 2
𝟕 𝟑 𝟖 𝟑 𝟗
D.
𝟑
5 3
𝟏𝟎 𝟑
𝟏 𝟐 𝟐 𝟐 𝟑 𝟐 𝟒 𝟐 𝟓 𝟐 𝟔 𝟐 𝟕 𝟐 𝟖 𝟐 𝟗 𝟐 𝟏𝟎 𝟐
𝟏𝟏 𝟐 𝟏𝟐 𝟐 𝟏𝟑 𝟐 𝟏𝟒 𝟐 𝟏𝟓 𝟐 𝟏𝟔 𝟐 𝟏𝟕 𝟐 𝟏𝟖 𝟐 𝟏𝟗 𝟐 𝟐𝟎 𝟐
3.
Simplify each expression with integers.
A.
4 − (−3) B.
36 − 82 C.
−9(8)
4.
Simplify each expression with fractions. Write each answer in simplest form.
A.
7
10
+
3
4
B.
6
5
5
(
12
)
D.
−84
−21

C.
Convert the following fraction to a decimal and then a percent.
18
5
D.
Convert the following decimal to a fraction in simplest form. . 62
5.
Solve the proportion.
8
25
=
6 𝑥
6.
Convert each number in standard form to scientific notation.
A.
64,313,000,000 B.
.0000000000000219
7.
Convert each number in scientific notation to standard form.
A.
3.8926 × 10 −6 B.
6.008 × 10 7
8.
Rewrite each number in scientific notation.
A.
16 × 10 23 B.
. 0089 × 10 6

Expressions:
 Simplifying multistep numeric expressions using the Order of Operations o Parentheses (or any grouping symbols [ ]{ }| |) o Exponents (or Radicals) o Multiplication or Division o Addition or Subtraction
 Like Terms vs. Unlike Terms and combining/simplifying polynomials
Practice
1.
Simplify each expression.
A.
(6 − 2) − (−4) G.
60 ÷ 12 − 2(4) + 9
B.
10 + 22 + (−7) + (−30)
C.
4(4)+5
5
H.
I.
𝑤 + 14𝑤 − 6𝑤
3𝑥 − 3𝑦 − 9𝑥 + 7𝑦
D.
E.
3(7 − 2.5)– 10
6 − 4(6 + 2)
F.
8 2 −2 2
(2∙8)+4
J.
−25𝑦 − 17𝑦 + 6𝑥𝑦 − 3𝑥𝑦
K.
5𝑦
5
+ 2𝑦
2
− 3𝑦
5
L.
3𝑥𝑦 + 4𝑥𝑦 + 5𝑥
2 𝑦 + 6𝑥𝑦
2

Properties:
 Commutative of Addition & Multiplication
 Associative of Addition & Multiplication
 Distributive



Identity of Addition & Multiplication
Zero Property of Multiplication
Inverse of Addition & Multiplication
Practice
1.
Match the property to the most appropriate example.
A.
Distributive
B.
C.
D.
Zero Property of Multiplication
Identity of Addition
Commutative of Multiplication
________ i. 14(0) = 0
________ii. −(𝑥 − 9) = −𝑥 + 9
________iii. −21 + 0 = −21
________iv. 𝑥 ∙ 3 = 3𝑥
2.
Determine whether the following algebraic statements are True or False based on a mathematic property.
______ 2(𝑥 + 3) = 2𝑥 + 6 ______ 𝑥(𝑦 + 7) = 7𝑦𝑥
______ (2 + 3) ∙ 4 = 2 + (3 ∙ 4)
______ (6 ∙ 4) ∙ 5 = 6 ∙ (4 ∙ 5)
______ 3 ∙ 7 = 7 ∙ 3
______ 3 + (4 + 5) = (3 + 4) + 5
3.
Justify the following steps for solving the following equation using any of the properties listed above.
3(𝑥 − 7) = 15
3𝑥 − 21 = 15
Justification
_____________________________________
+21 + 21
3𝑥 = 36
3𝑥
3
=
36
3
𝑥 = 12
_____________________________________
_____________________________________

Equations: Solving 1- and 2-step Equations
Practice
1.
𝑥 + 3 = 5
2.
𝑦 − 1 = 4
3.
8 = 𝑎 − 7
4.
−2 = 𝑏 + 6
5.
3 + 𝑡 = −4
6.
ℎ − 2 = −3
7.
4 𝑔
= 8
8.
12𝑦 = 6
9.
12 = 𝑐
−3
10.
−15 = −5𝑐
11.
−𝑧 = −10
12.
−𝑥 = 7
13.
−20 = 5𝑏
14.
−8 = 2𝑚
15.
−3 = 𝑘
9
16.
3𝑥 + 2 = 14
17.
4𝑤 − 7 = 13
18.
5 − 2𝑦 = 17
19.
5𝑥
8
= 10
20.
−2𝑎 + 7 = 6

Statistics:
 Calculate Measures of Central Tendency + Range
 Create a histogram from given data
Practice
The numbers below represent the scores of ten golfers at Crystal Springs Golf Club.
88 80 82 77 84
74 72 93 77 103
1.
Calculate the mean, median, and mode.
2.
What is the range of the scores?
3.
Create a histogram of the golfers’ scores using intervals of 5 for the independent variable (70-
74, 75=79, 80-84, …) and frequency for the dependent variable.