Algebra
16x + 30 = 190
Which equation has the same solution as the given equation?
A) 16x = 30
B) 16x = 130
C) 16x = 160
D) 16x = 190
C) 16x = 160
The lengths of two sides of a triangle are 4 centimeters and 6 centimeters. If the perimeter of the triangle is 18 centimeters, what is the length, in centimeters, of the third side of this triangle?
A) 2
B) 8
C) 10
D) 24
B) 8
The function g is defined by g(x) = x^2+9. For which value of x is g(x) = 25?
A) 4
B) 5
C) 9
D) 13
A) 4
Ty set a goal to walk at least 24 kilometers every day to prepare for a multiday hike. On a certain day, Ty plans to walk at an average speed of 4 kilometers per hour. What is the minimum number of hours Ty must walk on that day to fulfill the daily goal?
A) 4
B) 6
C) 20
D) 24
B) 6
A student council group is selling school posters for a fundraiser. They use the function p(x) = 5x − 220 to determine their profit p(x), in dollars, for selling x school posters. In order to earn a profit of $900, how many school posters must they sell?
224
One leg of a right triangle has a length of 43.2 millimeters. The hypotenuse of the triangle has a length of 196.8 millimeters. What is the length of the other leg of the triangle, in millimeters?
A) 43.2
B) 120
C) 192
D) 201.5
C) 192
Which expression is equivalent to 9x^2 + 5x?
A) x(9x + 5)
B) 5x(9x + 1)
C) 9x(x + 5)
D) x^2(9x + 5)
A) x(9x + 5)
Each value in the data set shown represents the height, in centimeters, of a plant.
6, 10, 13, 2, 15, 22, 10, 4, 4, 4
What is the mean height, in centimeters, of these plants?
9
y - 57 = px
The given equation relates the positive numbers p, x, and y. Which equation correctly expresses y in terms of p and x?
A) y = 57x + p
B) y = px + 57
C) y = 57px
D) y = px / 57
B) y = px + 57
Triangle FGH is similar to triangle JKL, where angle F corresponds to angle J and angles G and K are right angles. If sin(F) = 308/317, what is the value of sin(J)?
A) 75/317
B) 308/317
C) 317/308
D) 317/75
B) 308/317
y = -2x
3x + y = 40
The solution to the given system of equations is (x,y). What is the value of x ?
40
13 is p% of 25. What is the value of p ?
52
DAILY DOUBLE
(0, 18), (1, 13), (2, 8)
The points shows three values of x and their corresponding values of y. There is a linear relationship between x and y. Which of the following equations represents this relationship?
A) y = 18x + 13
B) y = 18x + 18
C) y = −5x + 13
D) y = −5x + 18
D) y = -5x + 18
Square A has side lengths 166 times the side lengths of square B. The area of square A is k times the area of square B. What is the value of k?
27556
Function f is defined by f(x) = (x + 6)(x + 5)(x + 1). Function g is defined by g(x) = f(x - 1). The graph of y = g(x) in the xy-plane has x-intercepts at (a, 0), (b, 0), and (c, 0), where a, b, and c are distinct constants. What is the value of a + b + c?
B) -9
A wire with a length of 106 inches is cut into two parts. One part has a length of x inches, and the other part has a length of y inches. The value of x is 6 more than 4 times the value of y. What is the value of x?
A) 25
B) 28
C) 56
D) 86
D) 86
3x = 36y - 45
One of two equations in a system of equations is given. The system has no solution. Which could be the second equation in the system?
A) x = 4y
B) 1/3x = 4y
C) x = 12y - 15
D) 1/3x = 12y - 15
B) 1/3x = 4y
Points Q and R lie on a circle with center P. The radius of the circle is 9 inches. Triangle PQR has a perimeter of 31 inches. What is the length, in inches of QR?
A) 13 * root(2)
B) 13
C) 9 * root(2)
D) 9
B) 13
The first term in a sequence is 9. Each term after the first is 4 times the preceeding term. If w represents the nth term of the sequence, which equation represents w in terms of n?
A) w = 4(9^n)
B) w = 4(9^n-1)
C) w = 9(4^n)
D) w = 9(4^n-1)
D) w = 9(4^n-1)
A school district is forming a committee to discuss the plans for the construction of a new high school. The committee is made up of 15% parents, 45% teachers, 25% admin, and the last 6 people are students. How many more teachers were invited than admin?
8