Chapter Test
Chapter
Chapter 3
Section
Chapter Test
Solutions 26 Videos

What is the value of \displaystyle (\frac{1}{3})^3

• A 1
• B \frac{1}{3}
• C \frac{1}{9}
• D \frac{1}{27}
0.21mins
Q1

What is the simplified form of the expression \displaystyle w^2 \times w^4 \times w ?

• A w^6
• B w^7
• C w^8
• D w^9
0.16mins
Q2

What does \displaystyle \frac{4^5}{4^3} equal?

• A 4
• B 8
• C 16
• D 32
0.14mins
Q3

What does \displaystyle (2^3)^2 equal?

• A 10
• B 12
• C 32
• D 64
0.32mins
Q4

Which of the following shows three like term.

• A 3x, 2x, -x^2
• B 4a, 4b, 4c
• C 3y, - y, 8y
• D 2m^2n, 2mn^2, 4mn
0.41mins
Q5

2k^2 - 3k is a

• A monomial
• B binomial
• C trinomial
• D term
0.26mins
Q6

What is the degree of 2u^3v?

• A 1
• B 2
• C 3
• D 4
0.13mins
Q7

3x - 5 + 2x + 3 can be simplified to

• A 3x
• B 5x- 2
• C x -2
• D 5x + 2
0.15mins
Q8

What does -2m(3m -1) simplify to?

• A -6m^2 +2m
• B -6m^2 - 1
• C 6m^2 - 2m
• D -6m^2 - 2m
0.24mins
Q9

Write as a single power. Then, evaluate.

(-2)^2 \times (-2)^3 \times (-2)

0.24mins
Q10a

Write as a single power. Then, evaluate.

\frac{3^5 \times 3^3}{(3^2)^3}

0.27mins
Q10b

Simplify.

 \displaystyle k^2n^3 \times kn^4 

0.18mins
Q11a

Simplify.

 \displaystyle -6p^5 \div 3p^2 

0.26mins
Q11b

Simplify.

 \displaystyle (-3g^2h)^3 

0.27mins
Q11c

Simplify.

 \displaystyle (5x -3) + (2x +7) 

0.23mins
Q12a

Simplify.

 \displaystyle (3u -4) - (5u - 1) 

0.27mins
Q12b

Expand and Simplify.

 \displaystyle 3(y + 4) + 6(y - 2) 

0.23mins
Q13a

Expand and Simplify.

 \displaystyle -4(6b - 3) - (3b + 5) 

0.19mins
Q13b

James and Sylvie need to paint the line around the outside of a soccer field. To know how much paint to buy, they must find the perimeter of the field.

James claims, “I can calculate the perimeter of the field by using the formula P = 2(l + w).”

Sylvie replies, “That’s not right, James. The correct formula is P =2l+ 2w.”

• Who is correct? Is it possible for both to be right? Provide evidence to support your answer.
0.17mins
Q14a

Vanessa, the student council president, needed to get a message to the whole school, but she did not have time to e-mail every student. So she set up an e-mail tree. She sent the message to her two vice-presidents, and asked them each to forward it to two students. Suppose that this pattern is repeated and assume that no one receives the e-mail more than once.

a) How many people will receive the e-mail on the seventh mailing?

0.52mins
Q15a

Vanessa, the student council president, needed to get a message to the whole school, but she did not have time to e-mail every student. So she set up an e-mail tree. She sent the message to her two vice-presidents, and asked them each to forward it to two students. Suppose that this pattern is repeated and assume that no one receives the e-mail more than once.

(b) On which mailing will the e-mail be sent to at least 500 people? Explain how you found this answer.

(c) At this point, how many people would have received the e-mail, in total?

(d) There are 500 students in the school. How many mailings would it take to reach all the students?

0.43mins
Q15bcd

Three authors team up to write a children’s book. The publisher pays them according to the following contracts.

• Find a simplified expression that represents the total that the publisher must pay the writing team.
0.42mins
Q16a

Three authors team up to write a children’s book. The publisher pays them according to the following contracts.

(b) Determine the total payout if the book sells

• 200 copies
• 5000 copies
0.50mins
Q16b

Suppose you place a penny on the first square of a checkerboard.

Now, suppose you double the amount and place this on the second square. If you repeat this for the entire board, how much will be on the 64th square?

1.23mins
Q17a

Suppose you place a penny on the first square of a checkerboard.

Now, suppose you double the amount and place this on the second square. If you repeat this for the entire board, how much will be on the entire board?