8 Grade MCA HW #1 Name: ALGEBRA (8.2.2.1) · 8th Grade MCA HW #2 Name: ALGEBRA (8.2.2.2) linear...

8th Grade MCA HW #1 Name:

ALGEBRA (8.2.2.1)

linear function, slope-intercept

form

8.2.2.1: Represent Linear Functions with tables, verbal descriptions, symbols, equations and graphs; translate from one representation to another

Emerging Understanding Question Partially Proficient Question

Proficient Question Exceeding Standard Question

Show your answer is correct using both an equation and a table.

Circle the statement that best matches your personal understanding of today’s benchmark.

BENCHMARK DOES NOT MEET

STANDARD PARTIALLY MEETS

STANDARD MEETS STANDARD EXCEEDS STANDARD

8.2.2.1 I do not understand this

standard I understand some parts

of this standard

I am confident I can do problems on this

standard correctly.

I understand this standard so well I can explain it to friends.


ALGEBRA (8.2.2.2) linear function,

slope, x-intercept, y-intercept, proportional

relationship, rate of change

8.2.2.2: Identify graphical properties of linear functions including slopes and intercepts. Know that the slope equals the rate of change, and that the y-intercept is zero when the function represents a proportional relationship.



What is the y-intercept of the line above?

Given the equation -2x + 5y = 14, find the slope and y-intercept of the line.







of this standard


standard correctly.



ALGEBRA (8.2.2.3)

linear function

8.2.2.3: Identify how coefficient changes in the equation f (x) = mx + b affect the graphs of linear functions. Know how to use graphing technology to examine these effects.


The graph of the equation f(x) = 2x + 4 is a line. What could be the equation of a line steeper than this line? Explain.


Explain your answer.

How can you use a graphing calculator to help determine the steepness of a line? Explain.







of this standard


standard correctly.



ALGEBRA (8.2.2.4)

arithmetic sequence, common

difference

8.2.2.4: Represent arithmetic sequences using equations, tables, graphs and verbal descriptions, and use them to solve problems.



Viola makes gift baskets for Valentine’s Day. She has 13 baskets left over from last year, and she plans to make 12 more each day. How many days will she need to work until she has 181 baskets?

Write an equation and solve the problem.







of this standard


standard correctly.



ALGEBRA (8.2.2.5)

geometric sequence,

common ratio

8.2.2.5: Represent geometric sequences using equations, tables, graphs and verbal descriptions, and use them to solve problems.


What is the pattern for this sequence?

1200, 300, 75, 18.75,…


You complain that the hot tub in your hotel suite is not hot enough. The hotel tells you that they will increase the temperature by 10% each hour. 1. Write an equation to represent the situation. 2. If the current temperature of the hot tub is 75˚ F, what will be the temperature of the hot tub after 3 hours, to the nearest tenth of a degree?







of this standard


standard correctly.



ALGEBRA (8.2.3.1)

expression, algebraic properties, associative,

distributive, commutative, identity

8.2.3.1: Evaluate algebraic expressions, including expressions containing radicals and absolute values, at specified values of their variables.


What is the value of the expression below when a = -3 and b = -27? Show work!

√𝑎𝑏

What is the value of the expression below when x = -4 and y = 5? Show work!

-3│-2x - y│


Evaluate the radical expression

8 + 2√𝑏

𝑎

when a = -2 and b = 16. Show work!

Evaluate the expression

3|2𝑥 + 1| − 3√3𝑦

5 + √(−2)(𝑥)

when x = -24.5 and y = 48. Show work!







of this standard


standard correctly.



ALGEBRA (8.2.3.2)

expression, algebraic properties, associative,

distributive, commutative, identity

8.2.3.2: Justify steps in generating equivalent expressions by identifying the properties used, including the properties of algebra. Properties include the associative, commutative and distributive laws, and the order of operations, including grouping symbols.


Which property is used in the equation

mg + mh = m(g + h)?

A. Associative

B. Commutative

C. Distributive

D. Identity

Use algebraic properties to determine which equation is equivalent to

3[7x - 4(x - 3)] + 1 = 16? A. 9x - 2 = 16 B. 9x + 37 = 16 C. 17x - 2 = 16 D. 17 +13 = 16

Show work!


Which of the following equations illustrated the inverse property of multiplication?

A. 5 x 1

5 = 1

B. 5 x 1 = 5 C. 5 x 0 = 0 D. 5 x 5 = 25

Name the algebraic property used in each step.







of this standard


standard correctly.


3x + 5(2 + 1x) 3x + 5(2 + x) 1._________________ 3x + 5(2) + 5x 2._________________ 3x + 5x + 5(2) 3._________________ (3 + 5)x + 5(2) 4._________________ 8x + 10

Algebraic Properties

8 Grade MCA HW #1 Name: ALGEBRA (8.2.2.1) · 8th Grade MCA HW #2 Name: ALGEBRA (8.2.2.2) linear...

Documents

Transcript of 8 Grade MCA HW #1 Name: ALGEBRA (8.2.2.1) · 8th Grade MCA HW #2 Name: ALGEBRA (8.2.2.2) linear...