Square Roots
Polynomials
inequalities
Radicals
EQUATIONS/Functions
Geometry
Word Problems
Factoring
Equations
100
1. Simplify: √48
A) 4√3
B) 6√2
C) 8√6
D) 12√4
A) 4√3
100
Multiply: (2x + 3)(x - 4)
A) 2x² - 5x - 12
B) 2x² + 5x - 12
C) 2x² - 8x - 12
D) 2x² - 5x + 12
A) 2x² - 5x - 12
100
Solve: 2x + 3 > 7
A) x < 5
B) x > 5
C) x < 2
D) x > 2
D) x > 2
100
Express x^(2/3) using radicals:
A) √(x³)
B) ∛(x²)
C) √(x³)
D) x²/3
B) ∛(x²)
100
A cylindrical tank has a radius of 3 feet and a height of 10 feet. What is the volume of the tank? (Use π ≈ 3.14)
A) 94.2 cubic feet
B) 188.4 cubic feet
C) 282.6 cubic feet
D) 314.0 cubic feet
V=πr2h
V = 3.14(32)(10)
3.14(90)
C) 282.6 cubic feet
100
The population density of a city is 2,500 people per
square mile. If the city covers 45 square miles, what is the
total population?
A) 55.6 people
B) 11,250 people
C) 1,125,000 people
D) 112,500 people
D) 112,500 people
multiply
100
. Factor: 4x² - 16
A) 4(x² - 4)
B) 4(x - 2)(x + 2)
C) (2x - 4)(2x + 4)
D) Both A and B
D) Both A and B
100
2. Solve for x: 3x - 7 = 14
A) x = 3
B) x = 7
C) x = 21
D) x = 7/3
B) x = 7
200
Which expression is equivalent to 271/3?
A) ∛27
B) √27
C) 3
D) Both A and C
D) Both A and C
200
Add the polynomials: (2x² + 3x - 1) + (x² - 5x + 4)
A) 3x² - 2x + 3
B) 3x² + 8x + 3
C) x² - 2x + 3
D) 3x² - 2x – 3
C) x² - 2x + 3
200
5. Solve the inequality: 2x + 5 > 11
A) x > 3
B) x > 16
C) x < 3
D) x > 8
A) x > 3
200
Which expression is equivalent to 2^(3/4)?
A) ³√(2⁴)
B) ⁴√(2³)
C) 2³/4
D) 2³ · 2^(1/4)
B) ⁴√(2³)
both the answer and the question are equal to 1.681792831
200
If f(x) = 2x - 3, find f(5):
A) 13
B) 10
C) 7
D) 5
C) 7
200
A cone has a radius of 4 inches and a height of 9
inches. What is its volume? (Use π ≈ 3.14)
A) 37.68 cubic inches
B) 150.72 cubic inches
C) 452.16 cubic inches
D) 113.04 cubic inches
B) 150.72 cubic inches
200
In a survey of 200 students, 120 like math and 80 like science. If 50 students like both subjects, how many
What percentage of the students like science?
A) 30%
B) 40%
C) 70%
D) 100%
B) 40%
Divide
200
Solve: 2x² - 8 = 0
A) x = ±2
B) x = ±4
C) x = ±√2
D) x = ±2√2
A) x = ±2
300
7. Solve: √(2x - 3) = 5
A) x = 11
B) x = 14
C) x = 22
D) x = 28
B) x = 14
300
Which situation would be best modeled by an
exponential function?
A) The cost of gasoline per gallon
B) The growth of bacteria in a petri dish
C) The distance traveled at constant speed
D) The area of a rectangle with fixed perimeter
- B) The growth of bacteria in a petri dish: Bacteria typically grow by doubling their population at regular intervals (e.g., every hour) when conditions are ideal. This is a classic example of exponential growth, where the rate of increase is proportional to the current population size, leading to a rapidly accelerating growth curve.
300
The angle between two perpendicular lines is:
A) 45°
B) 90°
C) 180°
D) 360°
B) 90°
300
A recipe calls for 2.5 cups of flour. If you want to make
3.5 times the recipe, how much flour do you need?
A) 6.0 cups
B) 7.5 cups
C) 8.75 cups
D) 10.5 cups
C) 8.75 cups
multiply
400
Subtract: (5x² - 3x + 2) - (2x² + x - 1)
A) 3x² - 4x + 3
B) 3x² - 2x + 1
C) 7x² - 2x + 1
D) 3x² + 2x + 3
A) 3x² - 4x + 3
400
1. Simplify: √(36x⁴)
A) 6x²
B) 6x⁴
C) 36x²
D) 18x²
A) 6x²
400
A function is defined as f(x) = 3x² - 2x + 1. What is
f(-2)?
A) 9
B) 13
C) 17
D) 21
C) 17
400
What is the height of the larger triangle? 
12
400
A rectangular region has a population density of 850
people per square kilometer. If the region has an area of
120 square kilometers, what is the population?
A) 7,083 people
B) 10,200 people
C) 85,000 people
D) 102,000 people
D) 102,000 people
500
Simplify: (6x³ - 12x²)/(3x)
A) 6x² - 4x
B) 2x² - 4
C) 2x² - 4x
D) 3x² - 4x
D) 3x² - 4x
500
Solve for x: √(x + 3) = 5
A) x = 2
B) x = 28
C) x = 8
D) x = 22
D) x = 22
500
If g(x) = 2x
, what is g(4)?
A) 8
B) 16
C) 32
D) 4
A) 8
500
A circle has a radius of 7 units. What is the distance
from the center to any point on the circle?
A) 3.5 units
B) 49 units
C) 14 units
D) 7 units
D) 7 units
500
In similar triangles, if the ratio of corresponding sides is
3:4, what is the ratio of their perimeters?
A) 3:4
B) 6:8
C) 9:16
D) 27:64
A) 3:4
600
If h(x) = x² - 3x + 2, what is h(4)?
A) 6
B) 8
C) 10
D) 12
A) 6
600
A cylinder has a radius of 4 meters and a height of 6
meters. What is its volume? (Use π ≈ 3.14)
A) 150.72 cubic meters
B) 301.44 cubic meters
C) 452.16 cubic meters
D) 753.6 cubic meters
B) 301.44 cubic meters
600
Which scenario is best modeled by a linear function?
A) Population growth of bacteria
B) Radioactive decay
C) Distance traveled at constant speed
D) Compound interest
C) Distance traveled at constant speed: This is modeled by a linear function (specifically,
d=r×td equals r cross t
, or distance equals rate times time). The rate of change (speed) is constant, meaning the distance increases by the same amount during each unit of time.
700
If f(x) = 3x, what is f(3)?
A) 9
B) 27
C) 81
D) 243
B) 27
700
A cone has a base radius of 5 inches and height of 12
inches. What is its volume? (Use π ≈ 3.14)
A) 94.2 cubic inches
B) 157 cubic inches
C) 942 cubic inches
D) 314 cubic inches
D) 314 cubic inches
700
The distance around a circular arc is determined by:
A) The radius only
B) The diameter only
C) The radius and central angle
D) The area of the circle
C) The radius and central angle
800
The area of a circle is 50.24 square inches. What is the
radius? (Use π = 3.14)
A) 25.12 inches
B) 8 inches
C) 16 inches
D) 4 inches
D) 4 inches
800
If the distance between two cities is 240 miles and you travel at 60 mph, how long will the trip take?
A) 3 hours
B) 180 hours
C) 5 hours
D) 4hours
D) 4hours
