Math Exam
Inflation is at a rate of 7% per year. Today Janelle's favorite bread costs $3.79. What would it have cost ten years ago?
$1.92
-2/5 + 1/2
1/10
x= 4 y= -2 z= -3 2x - 3
5
y = 32,500(0.85)^x Write a problem to go with equation
If a $32,500 loses 15% of its value each year, what will it be worth x years from now?
through (2, -1) (3, -3)
y = -2x + 3
Slope = 1/3, through (6,9)
y = 1/3x + 7
Ms. Jeffers is splitting $775 among her three sons. If the oldest gets twice as much as the youngest and the middle son gets $35 more than the youngest, how much does each boy get?
$185, $220, $370
x = 1/2y + 1/2 2x + y = -1
(0, -1)
y = -3x 4x + y = 2
(2, -6)
4x - 4y = 14 2x - 4y = 8
(3, -1/2)
9x^2 - 18x + 8
(3x - 4)(3x - 2)
49x^2 + 1 + 14x
(7x + 1)^2
64m^2 - 25
(8m + 5)(8m - 5)
x^2 + 5x + 6
(x + 2)(x + 3)
x= 4 y= -2 z= -3 x^2 + 12z - 4y
-12
x= 4 y= -2 z= -3 2z(y+x^2-x)
-60
-1 1/8 / 2 3/4
-9/22
3/4 -(-5/12)
1 1/6 or 7/6
12 3/4 - (-1 5/8)
14 3/8 or 115
(4x + 3)^2
16x^2 + 24x + 9
8 (x - 2) = 2 (2 - x)
2
Marin County fair charges $4 to enter and $3.50 for each ride on the Screamer. Sonoma County fair charges $7 to enter but only $2 for each ride on the Screamer. How many times would you need to ride the Screamer so that you spent the same at each fair?
2 rides
2x (x - 1)
2x^2 - 2x
(6 * 10^-3)^2
3.6 * 10^ -5
3^3 * 3^5 * (1/3)^2 * = multiplication
3^6
x= 4 y= -2 z= -3 x(3+zy) - 2x^2
4
x= 4 y= -2 z= -3 xy - 4z
4
A rectangle is three times as long as it is wide. The perimeter is 36 cm. Find the length of each side
4.5 cm and 13.5 cm
If 50 empty soda cans weigh 312 pounds, how much would 70 empty soda cans weigh?
4.9 pounds
Leticia spent $11.19 on some red and some blue candies. The bag of candies weighed 11 pounds. If the red candy costs $1.29 per pound and the blue candy costs $0.79 per pound, how much of each candy did she buy?
5 pounds of red, 6 pounds of blue
Last year the principal's car was worth $28,000. Next year it will be worth $25,270. What is the annual rate of depreciation? What is the car worth now?
5%, $26,600
10 5/8 + (-2 1/2)
8 1/8
(4.25 * 10^3) * (2 * 10^5)
8.5 * 10^8
(1.2 * 10^4) * (7.1 * 10^-2)
8.52 * 10^2
A powerful computer is purchased for $2000, but on the average loses 20% of its value each year. How much will it be worth 4 years from now?
819.20
(3x + 7) (3x - 7)
9x^2 - 49
I = E/R (solve for R)
R = E/I
F/a = m (solve for a)
a = F/m
( x + 2)(x + 3) = x^2 + 5x + 6
all real numbers
1/3y 2 + 1/2y = 1 + y - y/6 - 3
all real numbers
-4x + 6y = -20 2x - 3y = 10
infinite solutions
3x = y -2 6x + 4 = 2y
infinite solutions
5x -3 + 2x = x + 7 + 6x
no solutions
x^2 - 4x + 16
not factorable
2W + 2L (solve for w)
w = P - 2L / 2 / = fraction bar
y = 4(0.5)^x
write a table
2/3x +7 = -1/5x + 3
x = - 60/13
3x - x/4 + 9 = 1 - x/2 +8
x = 0
through (3, 6) (3, -1)
x = 3
2/3x - 7 = 1/3x + 3
x = 30
2x - 3y = 9 solve for x
x = 3y + 9 / 2 / = fraction bar
y = 1/4x + 1 (solve for x)
x = 4(y - 1)
undefined slope, through (5,2)
x = 5
x + 7 + 1/3x + 3/2x - 2
x = 54
10 = x + 5 + x
x+2 1/2 or 5/2
3x + 2 + x = x + 5
x=1
2x - 3 = -x + 3
x=2
1 + 3x - x = x - 4 + 2x
x=5
x^-3 * x^0
x^-3 = 1/x^3
x^2 * (x^4)^-2
x^-6 = 1/x^6
slope = 5, through (3,13)
y = 5x - 2
A two-bedroom house in Nashville is worth $110,000. If it appreciates at 2.5% per year, when will it be worth $200,000?
~ 24 years
The cost of a High Definition television now averages $1200, but the cost is decreasing about 15% per year. In how many years will the cost be under $500?
~ 5 years