MPM1D Review for Unit 2 (Chapter 3 Test)



MPM1D Review for Unit 2 Test

Exponents:

[pic] is called a _______________ ( 2 is the ___________ and 3 is the ___________________ )

1. Evaluate

a) [pic] b) [pic] c) [pic] d) [pic] e) [pic] f) [pic]

| |

|Exponent Rules: |

|[pic] = _______ [pic]= ______ [pic]=_____ [pic]=________ [pic]= _________ |

2. Evaluate

a) [pic] b) [pic] c) [pic] d) [pic]

e) [pic] f) [pic] g) [pic] h) [pic] i) [pic]

Algebra:

3x is called a ___________ (3 is the __________________ and x is the ________________ )

When terms are grouped by addition or subtraction they form expressions called ____________

What has 1 term? _________________2 terms?_________________ 3 terms?___________________

The sum of the exponents on the variable part of a term is called the _________________

The degree of a polynomial is determined by the term with the ______________________________

3. Simplify ( this means to ____________________________________________________________)

a) [pic] b) [pic]

4. Expand and simplify if possible. (to expand means to ____________________________________)

a) [pic] b) [pic] c) 1[pic]

5a ) Find an expression for the perimeter and area of the given rectangle. 2x

3x

b) Determine the perimeter and area when x = 3.

6. Claudette, Johanna and Ming all have summer jobs at a clothing store. They earn $7/h, plus a bonus every week that depends on how well they do that week. The table shows their bonuses one week this summer.

|Employee |Bonus |

|Claudette |$100 |

|Johanna |$125 |

|Ming |$110 |

a) Using “t” to represent the time, in hours, write a binomial expression to represent the amount each student makes that week.

b) This table shows how many hours they worked that week. Using your expressions in part a) to find how much each student makes.

|Employee |Number of Hours |

|Claudette |20 |

|Johanna |25 |

|Ming |27 |

c) The three students decide to put their earnings for the week together to go for an end of the summer trip. Using t to represent the total hours, write a an expression to represent the total amount they earn that week.

d) Substitute the total number of hours and find the total amount the students make that week. Compare your answer with what you found in part b), what do you notice?

7. A garden has a length that is represented by the expression “3x + 1” and a width that is represented by “2x”.

a) Draw a diagram to represent the garden.

Do not forget to include the dimensions.

b) Write a simplified expression to represent the perimeter of the garden.

c) Write a simplified expression to represent the area of the garden.

d) If x = 10 metres, what is the perimeter? What is the area?

e) What are the dimensions of the garden is x = 10 metres?

| |

|ANSWERS: |

| |

|Exponents: power, base, exponent |

|1.a) 625 b) -625 c) 1 d) -1 e) [pic] f) -57 |

|Exponent Rules: [pic] [pic] [pic] [pic] [pic] |

|2. a) 256 b) [pic] c) 64 d) 6 e) [pic] f) [pic] g) [pic] h) [pic] i) [pic] |

| |

|Alegebra: term, coefficient, variable, polynomials, monomial, binomial, trinomial, degree, term with the highest degree |

| |

|3. Simplify means to collect like terms. |

|a) [pic] b) 5p + 3 |

| |

|4. Expand means to remove brackets by multiplication. |

|a) [pic] b) [pic] c) [pic] |

| |

|5.a) Perimeter = 10x Area = [pic] |

| |

|b) Perimeter = 30 Area = 54 |

| |

|6. a) Claudette: 7t + 100, Johanna = 7t + 125, Ming: 7t + 110 |

| |

|b) Claudette: $240, Johanna = $300, Ming: $299 |

| |

|c) 7t + 335, where t is the total hours they worked |

| |

|d) $839 (this is the same as what their separate earnings in part b add up to.) |

| |

|7. b) 10x + 2 c) 6x2+ 2x d) Perimeter = 102 Area = 620 e) 20m by 31m |

| |

| |

| |

-----------------------

U2 – W8

................
................

In order to avoid copyright disputes, this page is only a partial summary.

Google Online Preview   Download