Number System
Which fractions are equivalent to 4.050505...
a) 405/99
b) 401/99
c) 81/33
d) 802/198
e) 405/100
b) 401/99
d) 802/198
Solve the equation:
33x + 4x = 222
x = 6
The slope of a roof has a rise of 3.6 meters and a run of 12 meters. What is the steepness of the roof as a simplified fraction or decimal?
0.3 or 3/10
Write a rule (x, y) for a transformation where the original shape has moved 3 units right and 4 units down.
(x +3, y - 4)
What is the length of the hypotenuse of a right triangle if the legs measure 8 feet and 6 feet?
10 feet
a) 5/6
b) 0.23
c) square root of 11
d) 0.32416...
e) 6.565656...
f) -5 3/8
a) 5/6
b) 0.23
e) 6.565656...
f) -5 3/8
Solve the equation:
4x + 12x = 320
x = 20
Which terms are equivalent to the slope in a proportional relationship?
a) constant of proportionality
b) origin
c) inverse
d) rise over run
e) unit rate
a) constant of proportionality
d) rise over run
e) unit rate
Which statement is true about the values of an ordered pair when the figure is reflected over the y-axis?
a) only the x-values stay the same
b) only the y-values stay the same
c) both the x- and y-values stay the same
d) both the x- and y-values change
b) only the y-values stay the same
What is the volume of a cylinder with a radius of 4 cm, and a height of 9 cm?
a) 324 cm3
b) 452.16 cm3
c) 734.76 cm3
d) 1,017.36 cm3
b) 452.16 cm3
Is 7.787887888... rational? EXPLAIN.
No; it has a pattern which is predictable, but not repeating
Solve the equation:
24 + 0.44x = 19 + 1.69x
a) x = 4
b) x = 0.44
c) x = 5
d) x = 5.4
a) x = 4
What is the simplified slope between the two points? (80, 20) and (120, 30)?
a) 1/4
b) 4
c) 10
d) 40
a) 1/4
Which statements are true about rotations?
a) the shape of the figure does not change
b) the position of the figure does not change
c) the size of the figure does not change
d) the orientation of the figure does not change
e) the coordinates of the figure do not change
a) the shape of the figure does not change
c) the size of the figure does not change
What is the length of the third side of a right triangle if the hypotenuse measures 16 inches, and one leg measures 7 inches?
14.4 inches
Solve the equations: x2 = 121
x = 11 AND x = -11
Solve the equation:
75 - 3.5y - 4y = 4y + 6
y = 6
What are all the true statements about a graph of a line that slants downward from left to right?
a) The slope is negative
b) As the value of one variable increase, the value of the other variable decreases
c) The slope is a fraction
d) The graph has very small values
a) The slope is negative
b) As the value of one variable increase, the value of the other variable decreases
What is a sequence of transformations?
Multiple transformations performed to the same figure.
Find the volume of a soccer ball that has a diameter of 11 cm.
396.6 cm3
Between which two consecutive whole numbers is square root 18?
between 4 and 5
Solve the equation: -4(x - 26) = -200
x = 76
Which statements could be true about a NON-proportional relationship?
a) the y-intercept is positive
b) the y-intercept is zero
c) The line intersects the origin
d) The y-intercept is negative
a) the y-intercept is positive
d) The y-intercept is negative
A figure is dilated by a scale factor of 3/2. What is the new ordered pair for A(6, -4)
A'(9, -6)
Find the volume of the cone if the diameter is 8 meters, and the slant height is 15 meters.
242.1 m3