Exponents and Scientific Notation
Equations and Systems
Angles
Pythagorean Theorem
Volume
100
Write 340,000 in scientific notation
3.4 x 105
100
This shows a system of linear equations
y=1/2x-5
y=-1/2x+2
At what point do the two lines intersect?
A) (-1.5, 7) B) (-3, -6.5)
C) (7, -1.5) D) (-6.5, -3)
C) (7, -1.5)
100
Lines m and n are parallel and cut by transversal p. Which statement is true?
A. Angle 2 and Angle 7 are vertical angles.
B. Angle 1 and Angle 4 are corresponding angles.
C. Angle 7 and Angle 8 are supplementary angles.
D. Angle 1 and Angle 8 are complementary angles.
C. Angle 7 and Angle 8 are supplementary angles.
100
A square has side lengths of 10 cm. What is the approximate length of the diagonal of the square?
A.) 12 cm B.) 14 cm
C.) 18 cm D.) 20 cm
B.) 14 cm
100
The diameter of a sphere is 6 cm. What is the volume of the sphere, given the volume formula below?
V = 4/3pir^3
8pi
36pi
144pi
288pi
36pi
200
A recent estimate of the world’s population is 8.04 × 109 people, which is about 24 times the population of the United States. What is the approximate population of the United States?
A) 1.9 × 108 people B) 3.4 × 108 people
C) 1.9 × 1011 people D) 3.4 × 1011 people
B) 3.4 × 108 people
200
What is the value of x in the equation
5 – 3(x + 4) = 8 – (2x – 5)?
-20
200
Angles B and C are interior angles of a right triangle. Both are the acute angles of the triangle. The measure of Angle B, in degrees, is represented by X. Which expression below represents the measure of Angle C, in degrees?
A. 180 - X B. 180 - 2X
C. 90 - X D. 90 - 3X
C. 90 - X
200
A right triangle has vertices X(8, –3), Y(–5, –3), and Z(8, 2). What is the approximate distance between vertices Y and Z?
A.) 8 units B.) 12 units
C.) 14 units D.) 18 units
C.) 14 units
200
4.) A cylindrical soup can is 4 inches tall and has a diameter of 2.5 inches. What is the volume of the soup can in cubic inches?
A.) 3.125𝝅 B.) 6.25𝝅 C.) 10𝝅 D.) 25𝝅
B.) 6.25𝝅
300
The stem of a flower has a diameter of 6.35 × 10–3 meter. The diameter of the trunk of a tree is 40 times greater than the stem of the flower. What is the diameter of the trunk of the tree?
A.) 2.54 × 10–1 meter
B.) 2.54 × 101 meters
C.) 2.54 × 102 meters
A.) 2.54 × 10–1 meter
300
Jennifer has $25.00 and earns $0.50 for every chore she completes. Amaya has $13.00 and earns $2.00 for every chore she completes. How many chores must each girl complete to have the same amount of money?
8 chores
300
Lines n and o are cut by the transversal p.
What is the value of x?
36
300
A right triangle is shown on the coordinate plane.
What is the perimeter of the triangle?
A.)29 units B.) 32 units
C.) 33 units D.) 36 units
D.) 36 units
300
What is the approximate volume of a half sphere with a diameter of 8 cm?
A. 134 cm3 B. 268 cm3
C. 1,072 cm3 D. 2,145 cm3
A. 134 cm3
400
The estimated population of North Carolina is 1.06 × 107 people. The estimated population of Hawaii is 1.44 × 106 people. Approximately how many times greater is the population of North Carolina than Hawaii?
A.) 0.7 times greater B.) 1.4 times greater
C.) 7.4 times greater D.) 13.5 times greater
C.) 7.4 times greater
400
This shows an equation.
1/3(9x+12)=-15x+2(x+2)
Which statement is true about the equation?
A.) There are infinite solutions.
B.) There is no solution.
C.) The solution is 0.
D.) The solution is 4.
C.) The solution is 0.
400
A triangle is shown below. What is the measure of angle n?
A. 26° B. 44°
C. 46° D. 64°
B. 44°
400
This shows the design of a kite.
What is the approximate length (to the nearest inch) of the spine of the kite, from point F to G?
A) 54 in B) 29 in
C) 47 in D) 38 in
B) 29 in
400
The volume of a cone is 1,357 cubic inches, and the diameter is 12 inches. What is the approximate height of the cone in inches?
A.) 9 in B.) 36 in C.) 108 in D.) 216 in
B.) 36 in
500
An equation is shown below.
(2^n*2)/2^(-3)=2^7
Enter the value of n that makes this equation true.
n = 3
500
A line goes through the origin and (1, 2). The equation of a second line is y = –x – 3. At what point do the two lines intersect?
A.) (-1, -4) B.) (-1, -2) C.) (-3, 0)
B.) (-1, -2)
500
In the diagram transversal J cuts parallel lines K and L.
What is the measure of angle y in degrees?
112
500
A figure is shown
What is the approximate perimeter of the shaded region of the figure?
A.) 20.6 in B.) 20.1 in
C.) 19.1 in D.) 14.1 in
C.) 19.1 in
500
This figure is made up of a cylinder and cone.
What is the approximate volume of the figure?
A. 302 ft3 B. 320 ft3
C. 570 ft3 D. 905 ft3
C. 570 ft3