A
Make an expression that is equivalent to (36-y2)
(6-y)(6+y)
What is the equation of a line that passes through the points (0,5) and (4,4)
f(x)=-1/4x + 5
You are given the points that represent a function:
(6,-5), (n,-2), (-1,6), (9,5), (8,3), (10,6)
What could be the value of n to make f(x) remain a function?
A. -1
B. 8
C. -5
D. 9
-5
A leather worker needs to cut a leather string to a length of 25.5 cm. The leather worker makes a mistake in measuring and cuts the string 20.25 cm long. By how much did the worker cut the string too short?
5.25cm
A gym charges a one-time joining fee in addition to an ongoing monthly rate. The price for 5 months is $325, 7 months is $405, 9 months is $485 and 14 months is $685. What is the ongoing monthly rate the gym charges its members?
$40 per month
5(x-8)+7=4(x-6)-9
What is the solution to the equation?
x=0
A cellphone company uses the formula T=263p+189q to calculate the cost of purchasing p cell phone cases and q screen protectors.
Which formula can be used to determine the number of screen protectors purchased when given the total cost, T, and the number of cell phone cases purchased?
q=T-263p-189
q=T-263p/189
q=T/189-263p
q=(T-263p)/189
q=(T-263p)/189
Consider the equation, where z is a real number coefficient.
6(x+yz)=-2(2x-4yz)
If the solution is z=1, solve for y.
y=5x
A company is planning a picnic for its employees. Which is least likely to affect the cost of hosting the picnic?
The number of dates proposed to schedule the picnic
The number of people attending the picnic
The rental fee for the location of the picnic
The restaurant from which the food is purchased for the picnic
The number of dates proposed to schedule the picnic
A student in college saves money over the summer to cover the cost of tuition for the upcoming school year.
The college increases the cost of tuition for the upcoming school year by 5% from the total cost of tuition for the previous year, x.
The expression (x+0.05x) -650 represents the amount, in dollars, the student still needs to save to cover the cost of tuition for the upcoming school year.
How much money has the student already saved to cover the cost of tuition for the upcoming school year?
$650
Year 1 your house is valued at $313,000
Year 2 it is valued at $348,000
Year 3 it's valued at $383,000
Year 4 $418,000
Year 5 the value is $453,000
What is the average rate of change, in dollars per year, from year 1 to year 5?
$35,000
A student is solving the equation -4(x-3) = 8(x-4)-8. What is the first step the student could use to solve the equation correctly?
Distribute the -4 on the left side of the equation resulting in -4x+12 or distribute the 8 on the right side of the equation resulting in 8x-32
The area of the top of a rectangular table is represented by the expressions (9x2-144) square units, where x>4. Which of the following expressions represents an equivalent area (ma(y be more than one)
(3x-12)(3x-12)
9(x-4)(x-4)
(3x-12)(3x+12)
9(x-4)(x+4)
(3x-12)(3x+12)
9(x-4)(x+4)
A student in college saves money over the summer to cover the cost of tuition for the upcoming school year.
The college increases the cost of tuition for the upcoming school year by 5% from the total cost of tuition for the previous year, x.
The expression (x+0.05x) -650 represents the amount, in dollars, the student still needs to save to cover the cost of tuition for the upcoming school year.
What does (x+0.05x) represent?
The cost of tuition for the upcoming school year.
What must be true for a relation to be a function?
Each x must go to exactly one y.
A landscaper compares four lawn treatment brands.
Brand 1 charges $26.50 for 2 pounds
Brand 2 charges $70.00 for 5 pounds
Brand 3 charges $41.25 for 3 pounds
Brand 4 charges $104.00 for 8 pounds
If the landscaper wants to use the lawn treatment with the best value, which brand should the landscaper use?
Brand 4
The base of a triangle is represented by the expression 4x-1 and the height is represented by the expression 2y. If the equation 1/2(4x-1)(2y)=16 represents the area of the triangle, in inches, what is the equation you would use to solve for x?
16+y/4y
A police officer uses radar to measure the speeds of passing cars to the nearest quarter mile per hour. Which could be a measurement that appears on the police officer's radar.
22.35 mph
45.85 mph
51.40 mph
63.25 mph
63.25 mph
A camper purchases a tent and x sleeping bags for a camping trip.
The tent cost $192, and each sleeping bag cost $24. If the camper spends a total of $264. What is the equation that can be used to find how many sleeping bags the camper purchased? How many sleeping bags did the camper purchase?
24x + 192 = 264
3 sleeping bags
An artist spends 15 hours creating a painting that is sold by a gallery owner for $700. If the gallery owner wants to make a profit of at least $250 and plans to pay the artist x dollars per hour the artist spent creating the painting, write an inequality that represents the possible dollars per hour the gallery owner can pay the artist.
x < 30