Download Cumulative Review #2

Math 8 Cumulative Review #5
Name: _____________________
Due Date: _______________ 8___
Unit 1
1.
Chapter 8 Integers
Write each repeated addition as a multiplication statement, and then calculate the answer. Example: (+4)
+ (+4) = (+2) × (+4) = +8
a. (+2) + (+2) + (+2) + (+2) = ____ × ____ = ____
b. (−8) + (−8) + (−8) = ____ × ____ = ____
c.
(−3) + (−3) + (−3) +(−3) + (−3) = ____ × ____ = ____
d. (+7) + (+7) = ____ × ____ = ____
2.
3.
The product of two integers is −20. List all the possible multiplication statements to show this.
Calculate using the order of operations.
a. (+5) × (−4) + (−6) ÷ (+3)
b. (−10) + [(+2) − (−4)] × (+3)
c.
Unit 2
4.
Chapter 6 Fraction Operations
Determine each product. Be sure to show your thinking.
a)
5.
(−2) − (+14) ÷ (−2) + (+8)
1
of 24 = ______
4
b)
2
of 12 = ______
3
c)
7
of 30 = ______
10
There are 28 students in a class. Three-quarters of the class takes the bus to school. How many students
take the bus to school? Show your work.
2
6.
Five-sixths of the grade 8 students in a school are taking band. These band students are divided into four
equal groups. What fraction of the grade 8 students is in each of these groups?
a. Write a division statement to answer this question. Determine the quotient. Explain your reasoning.
b. Write a sentence answer.
For questions 9 – 12, be sure to reduce your answers to lowest terms.
7. ADD the following fractions:
a) 1
8.
1
4
+ 2
3
5
b) 2
2
2
+1
8
6
b) 3
1 1
1
6 4
SUBTRACT the following fractions:
a)
3 2

4 3
To multiply fractions:
1. Change ________________ numbers to _________________ fractions
2. Multiply the ___________________ together and then multiply the _______________ together
3. Put answer in _____________ _____________.
9.
MULTIPLY the following fractions:
a)
1 2
x
6 4
b)
2 3
x
7 8
c) 2
3 1
x3
4 3
d)
1 1 3
x2 x
2 3 4
To Divide fractions:
1. Change ________________ numbers to _________________ fractions
2. Multiply the first fraction by the _R_________________* of the _____________ fraction.
***Reciprocal means_____________________
3. Put answer in _____________ _____________.
10.
DIVIDE the following fractions:
a)
1 1

4 2
b) 6 
c)
1
2
3
d) 2
Unit 3
2
4
3 1
1
4 2
Chapter 2 Ratios, Rates and Proportional Reasoning
11. Identify each of the following as a ratio, a rate, or a unit rate.
Example: 110 km in 12 h
rate
a. 12 marks out of a total of 20 marks ___________
b. 25 cars sold in 5 days ___________
c.
25 L of gas used to travel 390 km ____________
d. 8 m per min ____________
12. For the questions below:
a. Set up a proportion using a variable (x).
b. Determine the value of the variable.
c. Write a concluding statement. Remember to include the units.
Item
Example: 5 T-shirts cost $62.50.
How much will 15 T-shirts cost?
a) Proportion
b) Value
c) Statement
5
15
=
62.5
x
x = 187.5
Fifteen T-shirts will cost
$187.50.
a. The ratio of boys to girls at a
music concert was 3 to 5. If
there were 140 girls at the
concert, how many boys were
there?
b. Three cups of flour are needed
to make 48 pecan cookies. How
many cookies will 5 cups of
flour make?
13. A professional baseball team has 25 players. A team has 10 pitchers, 3 catchers, 6
outfielders and 6 infielders. Determine the ratio in lowest terms of:
a. catchers to outfielders
____________________________________
b. outfielders to infielders
____________________________________
c. infielders to catchers
d. pitchers to all players
____________________________________
____________________________________
Unit 4
Chapter 4 Understanding Percent
14. Complete the following table
Percent
Decimal
Fraction
8%
0.43
18
25
1.44
1
24 %
2
15
32
15. Determine the percent of each number. Be sure to show work.
a)
3
% of 690
4
b) 385% of $210.60
16. If the sales tax in a province is
work.
c) 83
7 % of 240
8
6 1 % , what is the tax on a pair of shoes that cost $82? Show your
2
Unit 5
Chapter 9 Linear Relations
Chapter 10 Solving Linear Relations
17. For the equation y = x + 2, _______ is/are the constant(s) and ______ is/are the variable(s).
18. Make a table of values that represents the graph shown and then write the equation?
19. Complete the following tables. Then graph the ordered pairs.
a.
b.
y=2−x
y = -2x + 1
X
x
y
0
y
−3
1
5
2
-1
3
0
4
-1
y
y
x
x
20. Draw and label a graph of the equation y = 2x − 2, for x = 1, 2, 3, and 4.
a. Is it a linear relation? Use two ways to explain your answer
21. Circle the equation(s) that you would divide by 3 as the first step in the solution?
15 = 3h
4m − 3 = 5
x
=7
3
2a − 1 = 3
22. Solve.
a
=6
4
a. x + 4 = 7
c.
b. 34 = 2a
d. −4y = 28
e. −2 =
n
--7
23. Solve. Show all your work. Check your answers.
a. 3x + 2 = 14
b. −26 = −5a − 6
c.
− 10 = −2(n − 6)
d. 7 =
m
−1
3
e. 4(c + 8) = 12
f.
−6 −
x
= −5
8
24. Lisa is 4 years older than twice her sister's age. Lisa is 18. Write and then solve an equation
to determine the age of Lisa's sister.
25. The surface elevation of Lake Louise is 1500 m. This elevation is 50 m higher than 6 times
the elevation of Lake Athabasca. What is the elevation of Lake Athabasca?
26. What is wrong with the method used to solve the following equation?
−2 = 11 −
x
3
−2 + 11 = 11 + 11 −
x
3
x
3
−27 = x
9=-
a. What is the correct method? Show how to solve this equation.
−2 = 11 −
x
3