8th Grade Summer Review

Presentation

•

Mathematics

•

8th Grade

•

Hard

Jeelisa Shennar

FREE Resource

11 Slides • 49 Questions

Has to be a straight line.
Has to go through the origin (0, 0).

Characteristics of Proportional Situations

Multiple Choice

Which graph is non-proportional?

Multiple Choice

Does this graph represent a proportional relationship?

Yes

Multiple Choice

Is the graph proportional or non proportional?

proportional

non proportional

Identify the Constant of Proportionality

Multiple Choice

Does the table represent a proportional relationship?

Yes.

No.

Multiple Choice

What is the constant of proportionality?

Multiple Choice

In the equation y = 14x, what is the constant of proportionality?

y=14

Multiple Choice

Write an equation for this relationship.

y=1/5x

y=1/2x

y=2x

y=5x

Multiple Choice

Write the equation for the table given.

y = 16/2x

y=8x

y=12x

Multiple Choice

What type of relationship is a direct variation.

proportional

non-proportional

Multiple Choice

What is another name for constant of proportionality?

constant of non-proportionality

constant of equality

constant of variation

Multiple Choice

Which of the following is the equation format for direct variation?

y = mx + b

y = kx

k = $\frac{y}{x}$

Multiple Choice

What is the equation to find "k", the constant of proportionality?

k = $\frac{y}{x}$

y = kx

y = mx + b

k = $\frac{x}{y}$

Multiple Choice

The phrase "y varies directly with x" means a relationship is a direct variation.

True

False

Multiple Choice

Is the relationship in the table a direct variation?

Yes

Multiple Choice

Is the relationship in the table a direct variation?

Yes

Multiple Choice

Determine if there is a constant of proportionality, k.

If there is a k, what is it?

There is no k

k = $\frac{1}{8}$

k = 8

Proportional vs. Non-Proportional from a Graph

Remember, "m" is the same as the constant or the unit rate. In this equation, it is the "slope".

The y-intercept determines where the line starts on coordinate plane and if it is a proportional relationship or not.

Slope-intercept form

Multiple Choice

On a two-week job, a repairman works a total of 70 hours. he charges $75 plus $40 per hour. Which equation shows his rate of pay?

y = 40x +75

y = 75x + 40

y = 45x + 70

y = x

Multiple Choice

What is the slope of the equation Y = 3x +5

Multiple Choice

What is the y-intercept of the equation y=3x + 5?

Multiple Select

Steve started with #250 and spent $25 per week. Chelsea started with $30 and saved $30 per week. Which equations represent these situations?

y = 250 - $25x

y = 30 + 30x

y = 250x + 25

y = 30x - 30

Multiple Choice

Which statement best describes the relationship between x and y in the table?

Proportional

Not Proportional

Multiple Choice

Slope is know as rise/

run

fall

none

rise

Multiple Choice

Find the slope

-5/3

-3/5

5/3

3/5

Multiple Choice

Find the slope:

3/4

4/3

-3/4

-4/3

Multiple Choice

What is the y-intercept shown on the graph?

(0, -2)

(3, 0)

(0, 3)

None of these.

Multiple Choice

What is the y-intercept shown on the graph?

(0, -2)

(4, -2)

(4, 0)

(0, 4)

Multiple Choice

Is the slope positive or negative?

positive

negative

Multiple Choice

What is the y-intercept?

(0,2)

(6,0)

(2,0)

(0,6)

Multiple Choice

How would you write the equation with a slope of 2/3 and a y-intercept of -3

y=3/2x+3

y=2/3-3

y=2/3x-3

y=2/3x+3

Multiple Choice

Determine the slope and y-intercept from the following equation: y = 3/2x + 3

slope: 5 y-intercept: (0,3)

slope: 3/2 y-intercept: (0,3)

slope: 4 y-intercept: (0,3/2)

slope: 1/5 y-intercept: (0,5)

Identifying Independent and Dependent Variables

Multiple Choice

On a graph, which axis shows the dependent variable?

x-axis

y-axis

neither

it changes

Multiple Choice

On a graph, which axis shows the independent variable?

x-axis

y-axis

neither

it changes

Multiple Choice

A(n) _____________ variable depends on or is changed by another variable.

dependent

independent

Multiple Choice

Name the INDEPENDENT variable from the table below.

words

minutes

Multiple Choice

In the table, Bubbles is the ______________.

independent variable

dependent variable

Multiple Choice

Sarah is bringing treats to her elementary school class on her birthday. The number of treats she brings in is based on the number of students in her class.

t = the number of treats

s = the number of students

Which of the variables is INDEPENDENT?

Multiple Choice

Sophie earned $5 for every A she got on her report card.

m = money

A = A on report card

The dependent variable is:

m = money

A = A on report card

Multiple Choice

If I drink a lot of water then I will have to go to the bathroom.

What is the red part?

Independent variable

dependent variable

Multiple Choice

Jimmy earned $8 for every pizza he delivers.

m = money (dollars)

p = number of pizzas delivered

The dependent variable is:

m = money

p = number of pizzas delivered

Functions Review

Functions

When the x that you try gives you only one y THAT'S A FUNCTION
A function is a special relation where each x-value only has one y-value

These are all functions

EACH X VALUE

HAS ONLY ONE Y VALUE

These are NOT functions

In each example

there is an X VALUE that has more than one Y VALUE

Multiple Choice

Is the relation a function? Why.

Yes, because the x-value 11 has two y-values paired with it.

Yes, because each x-value has only one y-value paired with it.

No, because the x-value 11 has two y-values paired with it.

No, because each x-value has only one y-value paired with it.

Multiple Choice

Is this table a function or not a function?

Function

Not a Function

Multiple Choice

Is this mapping a function or not a function?

Function

Not a Function

Multiple Choice

Is this set of ordered pairs a function or not a function?

Function

Not a Function

Multiple Choice

Which graph does NOT pass the vertical line test?

Graph 1

Graph 2

Graph 3

Graph 4

Multiple Choice