Name: ___________________
Date: ________________
Common Core Math (2nd Quarter Review)
Unit 5: Integers and rational numbers on the number line
(Calculator Inactive)
Show your work and circle your final answer. Simplify all answers.
1.)
Mark X on the number line that shows the location of the
opposite of Point A.
2.)
Which number, -|-23.6| or 14, is farther away from zero?
_____________
3.) Which number has the greatest absolute value?
15, -34, -27, 28 _______________________
1
3
4) Plot the following on the number line and label: −3 2 , −1 4, |-1.5|, 275%
Name: ___________________
Date: ________________
Use >, <, =, ≥, ≤ to compare the numbers:
5.) |-5|
-5
6.) -3.75
-3.8
7.) Given 184%, what is the equivalent fraction in simplest form? ________
8.). What is the equivalent decimal to 184%? __________________
A meteorologist found the following temperatures in Grand Rapids, Michigan
for one week. Which day was the coldest? Which day was the warmest?
Monday
Tuesday
Wednesday
Thursday
Friday
Saturday
Sunday
-3.2˚ F
-3˚ F
0.2˚ F
0˚ F
-0.7˚ F
-6˚ F
-5.6˚ F
9.) Coldest: ____________
10.) Warmest: ___________
Name: ___________________
Date: ________________
Unit 6: Properties and Algebraic Expressions (Calculator Inactive)
Identify the property name being illustrated by each algebraic expression.
(Distributive Property, Associative Property, Commutative Property,
Identity Property of Addition, Identity Property of Multiplication, Zero
Property of Multiplication)
1.)
a+0=a
____________________________
a(b+c)=ab+ac
ab=ba
______________________________
______________________________
a+(b+c)=(a+b)+c
______________________________
c•0=0
______________________________
a•1=a
______________________________
Using the distributive property, represent the area as an expression.
Simplify the expression. Circle your answer.
x
2.)
7
4
Find the missing width and length(s) of the figure below. Write the values
on the given lines.
3.)
__
_
__
__
_
35x
21
Name: ___________________
Date: ________________
Give an example of each of the vocabulary words using the algebraic
expression below.
4).
5x + 2y + 3 + 2(z – 4)
Coefficient _______
Constant_________
Term_______
Quantity__________
Variable _______
Translate the following words into algebraic expressions.
5.)
23 less than triple a number z ________________________
the quotient of 128 and s ________________________
8 times the quantity of number q plus 3 __________________
Are the two expressions below equal?
6.) 3(a + b) – 14 = 3a + 3b - 14
7.)
Evaluate the formula:
P=2l + 2w
when the length is 6 inches and the width is
2 inches.
Simplify the following algebraic expressions.
8.)
36𝑥
3
+ 3(4x+2)
9.) 16m – 4m + 5(2m + 6)
Use the following word problem to create an algebraic expression.
10.) Susan earns an allowance of $10 per week. She also earns $7.50
per hour baby-sitting. Write an expression, using “h” for the
number of hours, to represent what she earns in one week.
Expression: _____________________________________________
If Susan baby-sits for 3 hours each week, how much money will she make
in 2 weeks?
Money Made: ______________________________________
Name: ___________________
Date: ________________
Unit 7: Equations and Inequalities (calculator inactive)
Circle the values that provide a solution or solutions to the given equation
or inequality.
1.) 𝑚 − 3 = 13
2.) 3𝑤 + 2𝑤 ≥ 30
{10, 39, 14, 16, 𝑁𝑜 𝑠𝑜𝑙𝑢𝑡𝑖𝑜𝑛}
{5, 6, 15, 30, 𝑁𝑜 𝑆𝑜𝑙𝑢𝑡𝑖𝑜𝑛}
Solve for the variable. Show your work and don’t forget to check your
answer!
Grid – in response questions
 Show all your work below each problem.
 Write only one digit or symbol in each box. Spaces are permitted
before or after your answer, but not within the answer. Darken the
corresponding circle below each box.
3.) 9𝑥 − 2𝑥 = 21
4.)
𝑘
5
=3+7
Read each word problem and answer the question.
5.) Stephanie had $100 yesterday. Today she earns 𝑑 dollars for babysitting. She
now has $148. Circle the equation or equations that accurately represent
Stephanie’s situation.
100 − 𝑑 = 148
100 + 𝑑 = 148
148 = 𝑑 + 100
148 = 100𝑑
𝑑 − 100 = 148
100 = 148 − 𝑑
Name: ___________________
Date: ________________
6.) Julie gets paid $20 for babysitting. She spends $1.99 on a package of trading
cards and $6.50 on lunch. Write and solve an equation to show how much money
Julie has left.
7.) Anna makes $6 per hour (h) babysitting. At the end of the evening, she made
less than $60. Write an inequality to accurately represent the situation.
8.) Each table (t) in the science lab seats 4 students. The science lab holds at most
36 students. Write an inequality to accurately represent the situation.
Use an appropriate scale to label the number line. Graph the following
inequalities on your labeled number line.
9.) 12 ≥ 𝑤
10.) Evan’s family can fit no more than 25 people at their Thanksgiving dinner
table. Write the inequality that represents this statement and then graph the
inequality.
Name: ___________________
Date: ________________
Unit 8: Ratios, Rates and Proportions (calculator active)
All answers should be written in simplest form.
1.) What is the ratio of squares to circles?
ways.
2.)
The Zoo must keep a 3:7 ratio of bears to tigers. If they have 15
bears, how many tigers should they have?
Bears
3
15
3.)
Write the ratio in three different
Tigers
7
?
Out of 8 tables, Ed painted 5 blue.
Write as a ratio. ______________
What type of ratio is this?
Circle one:
whole to part
part to part
part to whole
4.)
What is a unit rate?
In words, give an example.
Name: ___________________
Date: ________________
5.) Thirty meters of rope weighs 20 grams. How much will 1 meter of the
same rope weigh?
6.)
Create a double number line and find 25 % of 80.
7.)
Create a tape diagram to represent the ratio in this problem. Teresa
likes to play tennis. Her current ratio of wins to losses is 8:6. If
Teresa has won 40 games, how many has she lost?
8.)
A car salesman sold 8 cars last week. That was 40% of the cars he
sold for the month. How many cars did he sell last month?
9.)
John swam
1
4
of a mile in 6 minutes. Sherry swam
5
8
of a mile in 3
minutes. Who swam farther in one minute?
 John swam ___________ of a mile in one minute.
 Sherry swam ______________ of a mile in one minute.
 ____________ swam farther in one minute.
Name: ___________________
Date: ________________
10.) In a cookie mix, the ratio of cups of peanut butter chips to cups of
chocolate chips is 2:5.
a. Complete the table below.
Peanut Butter
Chocolate Chips
Chips (x)
(y)
2
5
10
b. Graph the ordered pairs from the table above.
8
6
4
2
-10 -8
-6
-4
-2
2
4
-2
-4
-6
-8
-10
c. How many cups of peanut butter chips would be needed for 20 cups of
chocolate chips?
d. Write an equation to express the number of chocolate chips (y) for any
amount of peanut butter chips (x).
6
8
10