The equation t=52+5.375d represents the time in minutes, t, it takes Sara to finish her missing assignments based on the number of days, d, she is behind in her work. What is d when t=95?
d=8
100
Simplify -4x(x^2-5x+12)
Answer: -4x^2+20x-48
100
Solve for x:
12-6x=8x-16
x=2
100
State the Domain and Range of the following function:
{(3,6); (-9,4); (6,1); (0,6)}
Domain:{3, -9, 6, 0}
Range: {6, 4, 1}
200
Write the equation of the graph Ms. Kamberelis draws.
Varies
200
The perimeter of a rectangle is 24 inches. If the length is 4 inches bigger than the width, which equation represents the perimeter?
A) 2x+4=24
B) 4x+8=24
C) 4x+4=24
D) x+4=24
Answer: B) 4x+8=24
200
What 2 numbers multiplied together equal -24, but when added together equal 5?
A) -4 and 6
B) 4 and -6
C) -3 and 8
D) 3 and -8
Answer: D) 3 and -8
200
Solve for x:
3(x+5)+12=45
x=6
200
Given the function g(x)=-3x-5, what is g(4)?
g(4)=-17
300
DOUBLE JEOPARDY:
See PSAT problem (PT#8, Section 4)
C) Between 3 and 4 months
300
Jenny purchased a new computer for $1350. If the computer decreases in value by $125 a year, which of the following equations represents the value (V) of the computer in terms of number of years (y).
A) y=1350-125V
B) V=1350y-125
C) V=125y-1350
D) V=1350-125y
What is (D)
300
After simplifying, which of the following does NOT equal 4x-9?
A) 4(x-3) + 3
B) 6x-10-2x+1
C) x(4x-2)-7
D) x-3+3x-6
C) x(4x-2)-7
300
If (m+7)/3 = k and k=2, what is the value of m?
m=-1
300
Name two ways that you can determine whether or not a graph or a table is a function?
1) No repeating inputs (x-values)
2) Vertical line test
400
c=2.25+0.35x
p=1.40+0.55x
In the equations above, c and p represent the price per pound, in dollars of carrots and potatoes x weeks after they are harvested in mid July. What was the price per pound of carrots when it was equal to the price of potatoes?
$3.74
400
Siri loves coffee. For Christmas, all of her friends bought her coffee. The number of bags of coffee she has left to drink can be estimated with the equation C=15-0.2d, where C is the number of bags of coffee left and d is the number of days since Christmas. What is the meaning of the value of 15 in this equation?
Answer: The number of bags of coffee she received for Christmas.
400
Dylan has 16 coins (only nickels and quarters) totaling $3.00. How many nickels and quarters does Dylan have?
A) 5 nickels and 11 quarters
B) 11 quarters and 5 nickels
C) 7 quarters and 9 nickels
D) 7 nickels and 9 quarters
B) 11 quarters and 5 nickels
400
Solve for x:
y=mx+b
(y-b)/m
400
Sketch a system of equations with zero solutions.
Sketches will vary, but it should consist of two distinct graphs that never intersect.
500
Give the equation of the line that passes through the points (3,-1) and (-2,9).
y=-2x+5
500
You go to the mall to get some new clothes. When you are checking out, you notice that the person in front of you in line gets 2 shirts and 4 pairs of jeans for $50. You buy 2 shirts and 3 pairs of jeans for $35. Write a system of equations that could be used to determine the price of 1 shirt and 1 pair of jeans.
What is {2s+4j=50; 2s+3j=$35
500
When 3 times the number x is added to 5, the result is 17. What number results when 5 times x is added to 2?
Answer: 22
500
Simplify:
(x-9)^2
x^2-18x+81
500
Which of the following is a solution to the system of equations below:
{-2x+5y=22; -4x+9y=42
A) (-6,2)
B) (-5,1)
C) (-8,6)
D) (-2,3)