Math review

Find the zero of r(x) = 8/3x =-16

(0,-15

What is the range of the function graphed on the grid?

-3<y<4

Simplify: 2x +(4x-6x^2)+9-(6x+3) ?

-4x^2-2x+6

The graph of part of linear function g is shown on the grid. Write the inequality to represent the domain of the function shown.

-9<x<2

The function y = 3.75 + 1.5(x - 1) can be used to determine the cost in dollars for a taxi ride of x miles. What is the rate of change of the cost in dollars with respect to the number of miles?

1.50 dollars

simplify: (7x^3)^2(x^8)

49x^10

What is the equation of the line that passes through the point (-2,7) and has a slope of zero?

Y=7

The table shows the heights and the lengths of several rectangles. What is the correlation coefficient and what does it indicate about the strength of the linear association between the height and the length of these rectangles? Height:41,70,21,34,10,92,54,24,10,35,42,66 Length:21,25,32,12,16,45,40,23,45,35,21,14

.15 weak positive

The diagram shows the floor plan of a storage facility. All dimensions are given in feet. Write an expression to represent the area of the storage facility in square feet.

14a^2-2a+14/3

The value of y is directly proportional to the value of x. If y = 35 when x = 140, what is the value of y when x = 70?

17.5

The population of Webb County, Texas from the year 2000 through 2010 is shown in the graph. If the trend shown in the graph continues, what will be the population of Webb County in 2015?

279 thousand

A circle has a radius of 6x y cm. The area of a circle can be found using . What 9 5 A = πr 2 is the area of this circle in square centimeters?

36x^18y^10pie

A paper airplane was thrown from the top of a tall building. The height of the paper airplane above the ground can be found using the function y = -1.5x + 60, where x is the time in seconds the airplane has been in the air. How many seconds did it take the paper airplane to reach the ground?

40 seconds

In an electrical circuit, the voltage across a resistor is directly proportional to the current running through the resistor. If a current of 12 amps produces 480 volts across a resistor, how many volts would a current of 1.5 amps produce across an identical resistor?

60 volts

The table shows the linear relationship between the balance of a student's savings account and the number of weeks he has been saving. Based on the table, what was the rate of change of the balance of the student's savings account in dollars and cents per week? Week:0,1,3,6,8,13 Balance:32,39,53,74,88,123

7 dollars per week

A shoe company is going to close on if its two stores and combine all the inventory from both stores. These polynomials represent the inventory in each store: Store A: g2 1 2 + 2 7 Store B: 3g g 2 − 5 4 + 4 1 Write a polynomial expression that represents the combined inventory of the two stores.

7/2g^2-4/5g+15/4

What is the solution to 34x + 95 = 3(14x + 9)?

8.5

The daily cost of hiring a plumber, y, to work x hours on a repair project can be modeled using a linear function. The plumber charges a fixed cost of $80 plus an additional cost of $45 per hour. The plumber works a maximum of 8 hours per day. For one day of work, what is the range of the function for this situation?

80<y<440

Write the equation in standard form that has a graph that passes through the point (-4,2) and has slope of ?

9x-2y=-40

simplify:9q^2-2/3(3q-7)+5q^2

9x^5+y^5

The scatterplot below shows the relationship between the number of baseballs used in 14 games and the number of pitches thrown in these games. Based on the scatterplot, what is the best prediction of the number of baseballs hat will be used if 275 pitches are thrown

About 100 baseballs

Given f (x) = 6(1 − x) , what is the value of f(− 8) ?

F(x)=54

The graphs of linear functions f and g are shown on the grid. Write the equation of g as a function of f

G(x)=f(1/3x)

How do you know if a table represents a function?

If the x value has one y value

What is the slope of the line that passes through the points (5, -11) and (-9, 17)?

M=-2

A student graphed f(x) = x and g(x) = f(x) + 3 on the same coordinate grid. Write a statement to describe how the graphs of f and g are related.

Move up 3

) A set of weight includes a 4lb barbell and 6 pairs f weight plates. Each pair of plates weighs 20 pounds. If x pairs of plates are added to the barbell, the total weight of the barbell and plates in pounds can be represented by f(x) = 20x + 4. What is the range of the function for this situation?

R:(4,24,44,64,84,104,124)

Linear function f(x) = x is graphed on a coordinate plane. The graph of a new line is formed by changing the slope of the original line to 2/3 and the y-intercept to 4. Describe the transformations.

Up 4 units G(x)=f(2/3x)+4

The slope of the line that passes through the points (-6, w) and (-10, 4) is . What is the 8 1 value of w?

W=9/2

The graph below shows the relationship between the number of gallons of fuel remaining in a truck and the number of hours the truck has been driven. What does the x-intercept of the graph represent?

When the fuel runs out

What value of x makes the equation 0.75 (x + 20) = 2 + 0.5(x − 2) true?

X=-56

The value of y varies directly with x. If x =3, then y = 21. What is the value of x when y = 105?

X=15

What is the solution to 0.3(12x - 16) = 0.4(12 - 3x)?

X=2

What are the equation and slope of the line shown on the grid?

X=6

) The graph of a linear function is shown on the grid. Write the equation that is best represented by this graph in point slope form.

Y+1=-3(x-2)

What is the equation in slope-intercept form of the line that passes through the points (-4,47) and (2,-16)

Y=-21/2 x+5

Write an equivalent expression to 3x - 4y = 6 in slope intercept form?

Y=-3/2+3/4

The table represents some points on the graph of a linear function. Write the function that represents the same relationship in slope intercept form. X:-7.5,-3.5,-1,2,3.5 Y:12,0,-7.5,-16.5,-21

Y=-3x-10.5

Write the the equation in slope-intercept form of the line that passes through the point (2,-2) and is perpendicular to the line represented by y = 2/5x + 2?

Y=-5/2x+3

The table represents some points on the graph of a linear function. Write the linear equation to represent the same relationship in point slope form. X:-20,-14,-8,-1 Y:-268,-196,-124,-40

Y=12x-28

What is the slope of the line represented by 5x - 12y =24?

Y=2-5/12x

A zookeeper recorded the feeding schedule for a baby rhinoceros for 20 weeks. The table and scatter plot show the percentage of the baby rhinoceros's body mass that was used to determine the amount of food given at each feeding as a linear function of its age in weeks. What is the best prediction of the percentage of the baby rhinoceros's body mass that should be used to determine the amount of food given at each feeding when it is 25 weeks old? Age:1,2,4,7,9,12,14,15,17,20 %body mass:20,19.5,17,15,14,13.5,12.4,11.6,11,9

Y=6.3 6%

At a restaurant jars of tomato sauce are stored in boxes in the pantry. Each box contains 8 jars of tomato sauce. A cook uses 2 jars from 1 of the boxes. Write the function to show the relationship between y, the total number of jars of tomato such remaining in the pantry, and x, the number of boxes in the pantry.

Y=8x-2