Worksheets10th Grade Math Test
Total questions: 12
Worksheet time: 21mins
In the following expression, the number 5 is an example of _____________?
-7x + 5x³ + 11
term
constant
leading coefficient
variable
factor
Simple interests formula is P(1+r)t, P=Principal (the starting amount), r=interest rate, and t=time. If you as an investor were able to double any of the values in the expression, which would be the best choice over a long term loan?
Principal would allow double the starting amount of money so you are going to make more money in the long term
Rate would double the amount of interest you were making every year so this would create the most money in the long run
Time is an exponent so it is mathematically the most powerful value, so as time doubles the exponent will create the most money
The exponent of time is related to the rate; though time is an exponent in increases the rate exponentially. There is not enough information to know the best choice between time & Principal
They would all have the same affect, if any of the pieces of an expression are doubled then the value is doubled
Choose all of the expressions that simplify to x4 - y4
(x2 - y2)(x2 + y2)
(x2+y2)(x+y)(x-y)
(x2)2 - (y2)2
(2x-2y)(2x+2y)
(x3+ x) - (y2+y2)
Which of these equations has zeros at -4 and -5?
f(x) = x2 + 9x - 20
f(x) = x2 - 9x + 20
f(x) = x2 - 9x - 20
f(x) = x2 + 9x + 20
f(x) = x2 - 5x - 4
A ball is thrown into the air with an upward velocity of 100 ft/s. Its height, h, after t seconds is given by the function
h = -16t2 + 64t + 960.
How many seconds did it take for the ball to reach its maximum height?
10 seconds
64 seconds
960 seconds
2 seconds
4 seconds
Which answer is the expression in standard form?
(3x + 4y - 3z) - (2x - 6y + 7z)
x + 10y - 10z
-x +10y - 10z
x - 2y + 4z
x + 2y + 4z
4z - 2y - 5x
Expand and Simplify:
(2x + 3)(x2 + 4x + 1)
2x3 + 10x2 + 14x + 4
2x3 + 11x2 + 14x + 3
2x3 + 4x + 3
x3 - 11x2 + 14x + 3
x2+6x+4
Expand and Simplify:
(2x + 3)(x2 + 4x + 1)
2x3 + 10x2 + 14x + 4
2x3 + 11x2 + 14x + 3
2x3 + 4x + 3
x3 - 11x2 + 14x + 3
x2+6x+4
Caroline’s Coffee Shop sells a refill mug for $8.95. Each refill costs $1.50. Last month Sean spent $26.95 on a mug and refills. How many refills did he buy?
What is the correct equation to solve?
8.95 + 1.5r = 26.95
8.95r + 1.5 = 26.95
26.95 + 1.5r = 8.95
8.95 + 1.5 = 26.95r
(1.5)(26.95-8.95)=r
David is running a concession stand at a soccer game. He sells nachos and sodas. Nachos cost $1.50 each and sodas cost $0.50 each. At the end of the game, David made a total of $78.50 and sold a total of 87 nachos and sodas combined. Which system of equations represents this situation?
1.5x+0.5y=78.5
x+y=87
1.5x+0.5y=78.5
1.5x+0.5y=87
x+y=78.5
1.5x+0.5y=87
x+y=78.5
x+y=87
(1.5x+x) +(.5y+y)= 87+75.80
Rachel owns a car and a moped. She has at most 12 gallons of gas to be used between the car and the moped. The car's tank holds at most 10 gallons and the moped's 3 gallons. The mileage for the car is 20 mpg and for the moped is 100 mpg.
What are the constraints?
x≤10, y≤3, x+y≤12
0≤x≤10, 0≤y≤3, x+y≤12
x≥0, y≥0, 10x+3y≤12
x≤10, y≤3, 10x+3y≤12
Not enough information to know all the constraints
A farmer can plant up to 6 acres of land with soybeans and corn. Her use of a necessary pesticide is limited by federal regulations to 15 gallons for her entire 6 acres. Soybeans require 2 gallons of pesticide for every acre planted and corn requires 3 gallons per acre. The profit the farmer makes by earning $4,000 for every acre of soybeans he plants and $3,000 for every acre he plants with corn can be modeled by P=4000x+3000y . What is the maximum profit that she can earn?
$15,000
$21,000
$18,000
$25,000
Their is no solution region therefore there is no maximum profit.
