ECO 1 Supply and Demand Curve

point-slope

(y - 2) = 6(x + 1)

Evaluate the expression for a = −2, b = 3, c = 10. (7a+b)*c Multiple choice question. 16 110 -170 -110 170

-110

Order the steps to find the equation of the line in slope-intercept form parallel to y = -4x + 3 and passing through the point (-1,0).

1. state the original slope as -4 2. state the new slope as -4 3. apply the point slope formula 4. y - 0 = -4(x - (-1)) 5. y = -4x - 4

Evaluate the expression given a = 5, b = −5, c = 3 ab − ba + c Multiple choice question. -47 3 53 -53

3 (5)(-5)-(-5)(5)+3

If p = 13, which are equal to 13? 1/p 13p − 13 39 − 2p p/1 13p

39 − 2p p/1

standard

3x + y = 24

Solve the equation: 5x + 11 = 31 x = ?

4

In the expression 6c + 5, which term is the constant term? + 5 6c 6

5

In the expression 6c + 5, which term is the variable term? Multiple choice question. 6 5 c 6c +

6c

Which are reasons why a graph might be more useful than a table to aid in the understanding of quantitative information? A graph might show unique features of large data sets, like overall increases or overall variability. In graphed form, trends among data values might be visible. In table form, the information can be difficult to picture and interpret. A graph can show how high values can get, whereas this is not easily seen in table form.

A graph might show unique features of large data sets, like overall increases or overall variability. In graphed form, trends among data values might be visible. In table form, the information can be difficult to picture and interpret.

Select all that apply Choose the items that disqualify an algebraic equation from being linear. An `x` in a denominator. Both an `x and ay` variable. A term with `xy` as its variable part. An exponent of more than 1 on `x.`

An `x` in a denominator. A term with `xy` as its variable part. An exponent of more than 1 on `x.`

Which steps are helpful to determine the equation of the line passing through (4,−10) that is parallel to 3x + 8y = 24? (Notice the steps might not be in order here.)

Change 3x + 8y = 24 to slope-intercept form. Use the point-slope formula. Determine the slope of both lines to be −[3/8].

True or false: The equation of a line with slope 6 and y-intercept (0, 57) is y = 57x + 6. False; m and b are interchanged. True; we only write 57, not the whole point (0, 57). True; the given line has slope 6 and y-intercept (0, 57). False; the slope is correct, but the y-intercept is incorrect.

False; m and b are interchanged.

True or false: The slope intercept form of a line must be converted to standard form for graphing. False; the x- and y- intercepts are easily identified for graphing. True; standard form is more useful for identifying m and b. False; the slope and y-intercept are easily identified for graphing. True; the standard form is necessary for graphing.

False; the slope and y-intercept are easily identified for graphing.

What is true about the slope of a line? Multiple select question. If it is an integer, this indicates a denominator of 1, or a run of 1. It is the ratio of rise to run. It is the ratio of horizontal to vertical change. It can be undefined. It is a ratio. Positive slopes increase as x increases. It can be zero.

If it is an integer, this indicates a denominator of 1, or a run of 1. It is the ratio of rise to run. It can be undefined. It is a ratio. It can be zero.

Which of the following is true about the slope of a line? Multiple choice question. It can be defined as the change in y ("rise") over the change in x ("run"). It can be defined as the change in x ("rise") over the change in y ("run"). It is not possible for the slope of a line to be zero. If the rise and run are both negative, the line will be downward sloping.

It can be defined as the change in y ("rise") over the change in x ("run").

Point slope formula y - y1 = m(x - x1) Slope-intercept form of a line y = mx + b slope formula y = [ y2 - y1 ]/[ x2 - x1 ]

Point slope formula Slope-intercept form of a line slope formula

Which are true statements about the slope of a line? Multiple select question.The slope describes the slant of the line.Slopes always describe either a rise or a fall in the line from left to right.The slope of a line is the same everywhere on its graph.The slope of a line may be different at different locations on the graph.

The slope describes the slant of the line. The slope of a line is the same everywhere on its graph.

Define the y-intercept of a line. Multiple choice question. The y-intercept is where the y-coordinate is zero. The y-intercept is also known as the origin, where the y-axis intercepts the x-axis. The y-intercept is where the line crosses (or intersects) the y-axis. The y-intercept is where the graph of a line begins.

The y-intercept is where the line crosses (or intersects) the y-axis.

True or False: Graphs can be more useful than tables to help understand quantitative information. True. A graph shows high and low values that are not visible in a table. False. There is no advantage of a graph over a table. Both give the same information in a different form. True. Trends can often be seen in a graph that are not always visible in a table. False. More data can be represented in a table than a graph.

True. Trends can often be seen in a graph that are not always visible in a table.

The y-intercept is named by an ordered pair that has an x value of [0]

Zero (0 , y)

Which is the point-slope formula to find the equation of a line?

[y − y1 = m (x − x1)

Solve the equation: a/4 + 3 = 12 a = ?

a = 36

a, b, and c are real numbers and...

a and b are non-zero real numbers

An algebraic expression

a collection of variables and constants under algebraic operations **An expression does not contain an equal sign

expression

a collection of variables and constants with operators like addition and multiplication: An expression does not have an equals sign. If it did, it would be an equation.

constant

a number that does not vary

An equation

a statement that indicates that two expressions are equal **all equations have an equal sign

variable

a symbol or letter that is used to represent an unknown number

x and y are variables note that:

any letters or symbols can be used to denote the variables like : p and q

Equations of the form ax + by + c = 0 are called

linear equations in two variables

Select the linear equations in two variables. Multiple select question. 15 = 5p (p + q) q = 3 + [p/2] pq − 10 = 20 p = 2 + q(1 + q) q = 24 − 2p

q = 3 + [p/2] q = 24 − 2p

The [slope] of a line describes the slant (or steepness) of its graph, which remains constant everywhere on the graph.

slope

The slope-intercept form of a line's equation makes it easy to graph since the [slope] and y-[intercept] are readable right from the equation.

slope and y-intercept

If v = 10, which are equal to 20? Multiple select question. v + v v + 10 2v 20v v2

v + v v + 10 2v

Solve the equation: 108 = −9x x = ?

x = -12

vertical line

x = -2

Solve: 1/x = 7

x = 1/7

Which of the following equations represent the same line? y = 2x − 4 (y − 6) = 2(x − 5) 3y − 6x = −12 4 = 2x + y

y = 2x − 4 (y − 6) = 2(x − 5) 3y − 6x = −12

horizontal line :

y = 3

slope-intercept

y = 4x + 11

Which line has slope 4 and y-intercept (0, 6)? Multiple choice question. y = 6x + 4 y = 4x + 6 4x + 6y = 0 6x + 4y = 0

y = 4x + 6

Which is slope-intercept form of a line? y2 − y1 = m(x2 − x1) y = mx + b Ax + By = C

y = mx + b

Which equations are in slope-intercept form? x + 5y = 4 y = −x x = y + 10 y = [7/3]x + 5y = 73x + 5 y = −3x + 2

y = −x y = [7/3]x + 5 y = −3x + 2

Which lines have a slope of 3 and y-intercept of -2? Multiple select question. y=3x−2 3x=y+2 x=1/3y−2 x−2/3=1/3y

y=3x−2 3x=y+2 x−2/3=1/3y

Find the slope of the line through (0,4) and (1,−3). −7 −1 1 7

−7