Algebra
y=2x+3
x=1
What is the solution (x,y) to the given system of equations?
(1,5)
Which expression is equivalent to 15w²+8w?
a. w(15w+8)
b. 8w(15w+1)
c. 15w²(8w+1)
d. 23(w²+w)
e. 8w(7w+1)
A
A rectangle has a length of 3 units and a width of 39 units. Which expression gives the area, in square units, of this rectangle?
a. 2(3+39)
b. 2(3·39)
c. 3+39
d. 3·39
e. 39/3
D
The ration of t to u is 1:2, and t=10. What is the value of u?
20
If 3x-8=7, what is the value of 3x-8?
the function f is defined by f(x) = 4 + √x. What is the value of f(144)
16
(x-6)² + (y-3)² = 81
The graph of the given equation in the xy-plane is a circle. What is the length of the radius of this circle?
9
Last year, 200 students enrolled in an interior design program. This year, the number of students enrolled is 147% of last year's number. How many students are enrolled in the interior design program this year?
294
The equation 7g+7b = 840 represents the number of blue tiles, b, and the number of green tiles, g, an artist needs for an 840-square-inch tile project. The artist needs 71 blue tiles for the project. How many green tiles does he need?
49
(x-4)(x+2)(x-1)=0
What is the product of the solutions to the given equation?
The length of a rectangle's diagonal is 5√17, and the length of the rectangle's shorter side is 5. What is the length of the rectangle's longer side?
A distance of 61 furlongs is equivalent to how many feet? (1 furlong = 220 yards and 1 yard = 3 feet)
40260
5(t+3) - 7(t+3) = 38, what value of t is the solution to the given equation?
-22
g(x)= x²+55
What is the minimum value of the given function?
Two nearby trees are perpendicular to the ground, which is flat. One of these trees is 10 feet tall and has a shadow that is 5 feet long. At the same time, the shadow of the other tree is 2 feet long. How tall is the other tree (in feet)?
4
2, 10, 3, 7, 6
The mean of the list of numbers above is what fraction of the sum of the five numbers?
1/5, 0.2
How many solutions does the equation 10(15x-9) = -15(6-10x) have?
a. exactly one
b. exactly two
c. infinitely many
d. zero
e. not enough information
C
x-y=1
x+y=x²-3
which ordered pair is a solution to the system of equations above?
a. (1-√3, √3)
b. (√3, -√3)
c. (1+√5, √5)
d. (√5, -1+√5)
e. (1+√3, √3)
E
0.14, 7/50
Jeremy deposited x dollars in his investment account on January 1,2001. The amount of money in the account doubled each year until Jeremy had 480 dollars in his investment account on January 1, 2005. What is the value of x?
30