Basic Math
Which of the following is equivalent to (8x-9) - (3x+7)?
a) 5x-16
b) 5x+16
c) 5x-2
d) 11x-2
a) 5x-16
Is the equation 3(2x-4)=-18 equivalent to 6x-12=-18?
a) Yes, the equations are equivalent by the Associative Property of Multiplication
b) Yes, the equations are by the Distributive Property of Multiplication over Addition
c) Yes, the equations are equivalent by the Commutative Property of Multiplication
d) No, the equations are not equivalent
b) Yes, the equations are by the Distributive Property of Multiplication over Addition
An octahedron has how many edges?
a) 6
b) 8
c) 12
d) 20
c) 12
Which of these functions has greatest y-intercept?
a) f(x) = 4cos(x)+2
b) f(x) = 5x^2+3x+4
c) f(x) = 5x+2
d) f(x) = 3(2^x)
a) f(x) = 4cos(x)+2
The mass of an elephant on the moon would be
a) less than its mass on Mars.
b) the same as its weight on the moon.
c) the same as its mass on Earth.
d) more than its mass on Mars.
c) the same as its mass on Earth.
In a far-off land, three fish can be traded for two loaves of bread and a loaf of bread can be traded for four bags of rice. How many bags of rice is worth one fish?
A.) 2(2/3) B.) 1/2 C.) 3(1/3) D.) 3/4
A.) 2(2/3) Explain why?
Which of the following graphs represents a relation that isn't a function of x?
a) a curve
b) a line
c) a circle
d) a parabola
c) a circle
What is the number of lines of symmetry for a regular octagon?
a) 4
b) 6
c) 8
d) 10
c) 8
What is pi/3 in degrees?
a) 45°
b) 90°
c) 60°
d) 0°
c) 60°
Albert threw a ball into the air. It followed a curved path and soon fell to the ground because
a) air friction stopped the ball
b) the ball was not thrown hard enough
c) gravity changed the ball's direction
d) the ball was not thrown straight up
c) gravity changed the ball's direction
Andy and Genny ordered a large pizza that had been cut into equal-sized pieces. Andy ate one half of the pizza and Genny ate one-fourth of it. If there were 5 pieces left, how many pieces were there to begin with?
A.) 12 B.) 16 C.) 20 D.) 24
C.) 20 explain why?
What are the possible values x in |12-4x| = 2
a) 2.50 < x < 3.50
b) x = -2.50 or x = -3.50
c) x = 2.50 or x = 3.50
d) -3.50 < x < -2.50
c) x = 2.50 or x = 3.50
An 18-inch diameter pizza is cut into 12 slices. What is the distance around one slice?
a) 18+3pi/2
b) 18+pi/2
c) 18 + 9pi/2
d) 18+9pi
a) 18 + 3pi/2
Solve x2+5x+6 = 0. What is x1 and x2?
a) x1 = 0, x2 = 0
b) x1 = -2, x2 = -3
c) x1 = 2, x2 = 3
d) none of the above
b) x1 = -2, x2 = -3
An engineer is analyzing which areas in a city might become flooded if there are heavy rains. Which of the following maps is best to use for this analysis?
a) a map showing the locations of streets
b) a map showing the locations of houses
c) a map showing the routes of city buses
d) a map showing the elevations of ground surfaces
d) a map showing the elevations of ground surfaces
A School has 40 teachers and each teacher teaches 4 classes. Each class has 30 students and one teacher. If each student takes 5 classes how many students does the school have?
A.) 960 B.) 1000 C.) 1200 D.) 1500
A.) 960 explain why?
The graph of the equation Ax + 3y = -3 is a line that passes through (2,-5). What is the value of A?
a) 3
b) 5
c) 6
d) 7
c) 6
Given a triangle, where 'a' and 'b' are sides of the triangle and (theta) is the angle between those sides, what angle (theta) will maximize the area of the triangle?
a) pi/2
b) pi/4
c) pi/6
d) 3pi/4
a) pi/2
What is x if log33x = 7?
a) 4
b) 5
c) 6
d) 7
d) 7
What type of chemical reaction is represented by the equation below?
2 Li (s) + 2H2O (l) → 2 LiOH (aq) + H2 (g)
a) decomposition
b) single replacement
c) double replacement
d) synthesis
c) double replacement
One ball is drawn from a box containing 4 white balls, 7 red balls, and 5 blue balls. What is the probability that the ball is not red?
A.) 1/4 B.) 5/16 C.) 9/16 D.) 1/2
C.) 9/16 explain why?
Which function represents the graph having x-intercepts at -3 and 2 and passing through (3,12)?
a) y = (1/2)(x-2)(x+3)
b) y = (1/2)(x-3)(x+2)
c) y = 2(x+3)(x-2)
d) y = 2(x+2)(x-3)
c) y = 2(x+3)(x-2)
If theta is an angle in standard position whose terminal side passes through (-3,4), what is the value of cos(theta) + tan(theta)
a) -8/15
b) -29/15
c) 1/5
d) 1
b) -29/15
What is cot(360°)?
a) 1
b) pi
c) 2pi
d) 0
e) none of the above
e) none of the above
A spring whose spring constant is 675 N/m is compressed until the resisting force in the spring is 832 Newtons. How much elastic potential energy is then stored in the spring?
a) 1.23 Joules
b) 256 Joules
c) 513 Joules
d) 1.03 × 103 Joules
c) 513 Joules