Review
Know all of the formulas of variations
Algebra II Review
Chapter 8
Question 1:
As y varies directly with x, write an equation when y = 6 when x = 3
1.
2.
3.
4.
5.
6.
y=x
y = 2x
y= 1/2x
y = 18/x
2y = x
Not here
Question 1:
As y varies directly with x, write an equation when y = 6 when x = 3
1.
2.
3.
4.
5.
6.
y=x
y = 2x
y= 1/2x
y = 18/x
2y = x
Not here
Question 2: As y varies inversely with the square of x and y = 1 when
x = 2, what is the value of y when x = –4?
1.
2.
3.
4.
5.
6.
–2
–1/2
1/4
4
16
Not here
Question 2: As y varies inversely with the square of x and y = 1 when
x = 2, what is the value of y when x = –4?
1.
2.
3.
4.
5.
6.
–2
–1/2
1/4
4
16
Not here
Question 3: The area A of a triangle varies jointly as the base, B
and the height H. If A= 12 when B = 6 and h = 4, find B when A =
36 and H = 8
1.
2.
3.
4.
5.
6.
4
9
6
8
1/2
None given
Question 3: The area A of a triangle varies jointly as the base, B
and the height H. If A= 12 when B = 6 and h = 4, find B when A =
36 and H = 8
1.
2.
3.
4.
5.
6.
4
9
6
8
1/2
None given
Question 4: 2For which values of x is the expression
6 x  13x  5
undefined?
2
6 x  23x  7
1.
2.
3.
4.
5.
6.
–1/3 and 7/2
1/3 and –7/2
1/3 and 7/2
–1/3 and –7/2
–5/2 and 7/2
Not here
Question 4: 2 For which values of x is the expression
6 x  13x  5
undefined?
2
6 x  23x  7
1.
2.
3.
4.
5.
6.
–1/3 and 7/2
1/3 and –7/2
1/3 and 7/2
–1/3 and –7/2
–5/2 and 7/2
Not here
Question 5: The area of a rectangle is equal to 3x2 + 11x – 4. If
the length of the rectangle is equal to x + 4, determine its width
1.
2.
3.
4.
5.
6.
3x – 1
3x + 1
3x + 4
3x + 4
x–7
Not here
Question 5: The area of a rectangle is equal to 3x2 + 11x – 4. If
the length of the rectangle is equal to x + 4, determine its width
1.
2.
3.
4.
5.
6.
3x – 1
3x + 1
3x + 4
3x + 4
x–7
Not here
Question 6: Simplify the following,
12 x 2 y 5x 2 y 5

2 xy 3
6y
1.
2.
3.
4.
5.
6.
7 x5 y 2
2
5x3y2
5x7y2
15x6y3/2
2 x5 y 2
7
Not here
Question 6: Simplify the following,
12 x 2 y 5x 2 y 5

2 xy 3
6y
1.
2.
3.
4.
5.
6.
7 x5 y 2
2
5x3y2
5x7y2
15x6y3/2
2 x5 y 2
7
Not here
Question 7: Simplify the following,
x 2  16  x 2  9 


x 3  x  4 
1.
2.
3.
4.
5.
6.
4/3
(x – 4)/(x + 3)
(x + 3)/(x + 3)
(x + 3)(x + 4)
(x + 4)(x – 3)
Not here
1
Question 7: Simplify the following,
x 2  16  x 2  9 


x 3  x  4 
1.
2.
3.
4.
5.
6.
1
4/3
(x – 4)/(x + 3)
(x + 3)/(x + 3)
(x + 3)(x + 4)
(x + 4)(x – 3)
Not here
Answer Now
15
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Question 8: Which of these statements below is NOT a step to
add and subtract rational expressions?
1.
2.
3.
4.
5.
6.
The common denominator is needed
The greatest common factor is taken
The factors can be “crossed–cancelled”
The factors must be simplified
B and C
Not here
Question 8: Which of these statements below is NOT a step to
add and subtract rational expressions?
1. The common denominator is
needed
2. The greatest common factor
is taken
3. The factors can be “crossed–
cancelled”
4. The factors must be
simplified
5. B and C
6. Not here
Answer Now
15
Countdown
Question 9:
Simplify the
following,
2
2
6 x  x  15
3x  5 x

4 x3  28 x 2  48 x  x 2  6 x  9
2 x2  9 x  9
4 x3  16 x 2
2 x2  9 x  9
4 x3  4 x 2
2 x2  9 x  9
4 x3  16 x 2
2 x 2  9 x  9
4 x3  4 x 2
2 x 2  9 x  9
4 x3  16 x 2
1.
2.
3.
4.
5.
6. Not here
Question 9:
Simplify the
following,
2
2
6 x  x  15
3x  5 x

4 x3  28 x 2  48 x  x 2  6 x  9
2 x2  9 x  9
4 x3  16 x 2
2 x2  9 x  9
4 x3  4 x 2
2 x2  9 x  9
4 x3  16 x 2
2 x 2  9 x  9
4 x3  4 x 2
2 x 2  9 x  9
4 x3  16 x 2
1.
2.
3.
4.
5.
6. Not here
Answer Now
15
Countdown
Question 10: Simplify the following
x 1 x  2
x

 2
x  1 x  2 x  3x  2
2x2  2 x 1
( x  1)( x  2)
2x2  x  4
( x  1)( x  2)
2 x2  7 x  4
( x  1)( x  2)
2x2  x  4
( x  1)( x  2)
x2  2x  4
( x  1)( x  2)
1.
2.
3.
4.
5.
6. Not here
Question 10: Simplify the following
x 1 x  2
x

 2
x  1 x  2 x  3x  2
2x2  2 x 1
( x  1)( x  2)
2x2  x  4
( x  1)( x  2)
1.
2.
2x  7 x  4
3. ( x 1)( x  2)
2x  x  4
4. ( x 1)( x  2)
x  2x  4
5. ( x 1)( x  2)
6. Not here
2
2
2
Answer Now
15
Countdown
Question 11: Simplify the following
2
3x  4
5x  3
(3x  4)
(5 x  3)
2
(3x  4)(5 x  3)
1.
2.
x  3)
3. (3x  4)(5
2
4. (3(5xx  4)3)
2
5. (3x  4)(5
x  3)
6. Not here
Question 11: Simplify the following
2
3x  4
5x  3
(3x  4)
(5 x  3)
2
(3x  4)(5 x  3)
1.
2.
3. (3x  4)(5 x  3)
2
4. (5x  3)
(3x  4)
2
5. (3x  4)(5
x  3)
6. Not here
Answer Now
15
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