Download Part I Review Questions

Part I Review Questions
1.
Solve for x: 2(x - 4) = 1.6 – x
2.
Point ( -2, k ) lies on the line whose equation is x – 3y = -14. What is the value of k ?
3.
9x 3 12x 2  3x
What is the polynomial that is the quotient of
?
3x
4.

 2
The expression x 3 y 2 xy2  is equivalent to

 

5.
3
2
3
2
The sum
 of 2x  6x  3 and 4x  5x  4 is
6.


Put the numbers in order from smallest value to largest value.
22
,
, 2 3, 10
7
7.
2
What is the equation of
 the axis of symmetry for the equation y  x  6x  4 ?
8.
If 4ax 2b  3b then x equals
9.

The solution set for the equation x2 - x – 6 = 0 is
10.
Find the area of the rectangle whose length is 3x2 and whose width is 4x3 - 6y.
11.
The expression (x - 3)2 is equivalent to
12.

0
The value of 2x 2  is:



.

13.
Given:
Set U {M , A,T, H, R,O, X }
Set G {M , A,T, H}
If set G is a subset of set U, what is the complement of set G?
14.
15.
16.

Write an expression that is equal to 43.
Write an interval that represents the set of all numbers from -2 through 4,
inclusive?

The end of a dog's leash is attached to the top of a 5-foot-tall fence post, as
shown in the diagram below. The dog is 9 feet away from the base of the fence
post. How long is the leash, to the nearest tenth of a foot?
leash
5 feet
dog
9 feet
17.
What is the slope of the line whose equation is y - 3x = 5?
18.
What is the solution for the following system of equations?
-x + y = 3
x+y=7
19,
20.
Which of the following equations has a graph that is parallel to the graph of
2x + 4y = 8?
(1) y = 2x + 4
(3) y = - ½x - 4
(2) y = -2x - 4
(4) y = ½x + 2
Which value of x is not in the solution set of the inequality 4  2x  12 ?
(1) 2
(3) -5
(2) -4
(4) 5

21.
Which of the following equations has a graph that is perpendicular to the graph
of 2x + 4y = 8?
(1) y = 2x + 4
(3) y = - ½x - 4
(2) y = -2x - 4
(4) y = ½x + 2
22.
In the diagram below, MATH is a rectangle, GB = 6, MH = 8, and HT = 12. What is
the area of polygon MBATH?
23.
Factor:
2.4.
If 5x2 + 8x – 2 is subtracted from 2x2 – 4x + 6, the difference is

25.
A cylindrical container has a diameter of 8 inches and a height of 14 inches.
What is the volume of this container to the nearest tenth of a cubic inch?
26.
One of the roots of the equation x2 - 4x – 12 = 0 is 6. What is the other root?
27.
.000521 is equivalent to 5.21 x 10n, what is the value of n?
28.
The groundskeeper is replacing the turf on a football field. His measurements of
the field are 124 yards by 58 yards. The actual measurements are 120 yards by 50
yards. What is the relative error in the measurement?
29
Which ordered pair is a solution of the system of equations y  x  3 and y  x2  x ?
(1) (6,9)
(2) (3,6)
(3) (3,−1)
(4) (2,5)
27  3x 2


Part II Review Questions
1.
Factor Completely: 3x2  27

2.
3

3x 2 y 



Simplify:

3.
Solve for x:
x2
3

6
x 1

4.
Marie typed a 1,500-word essay in 22 minutes. At this rate, determine how many
words she can type in 44 minutes?
5.
Find the slope of the line that passes through the points (-2,5) and (4,-3).
Part III Review Questions
1.
Find three consecutive integers such that the sum of the first two is 16 less than
three times the third.
Part IV Review Questions
1.
Solve the following system of equations graphically or algebraically and state the
coordinates of all points in the solution set.
y  x 2  6x  3
x y 7

2.
A hot-air balloon is tied to the ground with two taut (straight) ropes, as shown in
the diagram below. One rope is directly under the balloon and makes a right
angle with the ground. The other rope forms an angle of 50º with the ground.
Determine the height, to the nearest foot, of the balloon directly above the
ground. Determine the distance, to the nearest foot, on the ground between the
two ropes.