MATH-A
Day 5 - Exponents / Radicals
Exam not valid for Paper Pencil Test Sessions
1
If x ≠ 0 and y ≠ 0, which is equivalent to the following expression? -16x 9y 2 4x 5y A -4xy
B 4xy
C -4x 4y
D 4x 4y
2
Simplify: (3 x -2)2
A 3x 4
9 B
x 4 C
D
3
3 x 4 1 9x 4 Which expression is equivalent to ax 0 + a 2y 0 ?
A a + a 2
B a 3
C
1 a D ax + a 2y
[Exam ID:0F01DH
4
Simplify the expression. (x-2y3 · x2y3)4
A x-16y36
B 2x8y12
C y13
D y24
m-2 • m2
5
Simplify:
A 1
B m -4
C 0
D m1
6
Which of the following expressions below is equivalent to the following expression: x6y5z -3 ?
x4y-2z 1 A
x2y7 z4 B x10y3z-2
x2y3 C
z2 D x2y3z-2
7
Type your answer in the box.
What is the value of the exponent when the expression below is simplified? (x-3)-5 = x?
4 -2 (x )
8
Directions: Click on a box to choose each expression you want to select. You must select all correct expressions.
Identify each expression that is equivalent to 36x 8 .
y 13 (2x 2y -6)2(3x 2y -1)2
(3x 6y -12)2(4y -3)
(3x 4y -5)2(4y -3)
(6x 3y -6)2(x 2y -1)
(9x 6y -5)2(2x -4y -3)
9
Directions: Click on a box to choose each answer you want to select. You must select all correct answers.
Identify each true statement.
(3x 4y )2 = 9x 6y 3
(3x y 4)3 = 9x 3y 12
(4x 3y 4)2 = 16x 6y 8
(4x 3y )4 = 256x 12y 4
10 What is the product of the following expression? 1 (12x2y-2z) · ( x-3y2z 4)
3 5 A 4yz
x 5 B 4z
x 4 C 4z
x D 4xz4
11
The continent of North America has an area of approximately 9.4 x 106 square miles. The area of Asia is approximately 1.74 x 107 square miles. How many square miles larger is Asia than North America?
A 8.0 x 106
B 8.0 x 101
C 7.6 x 10-1
D 7.6 x 101
12 Which is equivalent to the following expression? (8 x 9y -2)(10xy 5)
A 80x 10y 3
B 8xy
C -80x 10y 3
D 80x 9y -10
13
Mercury is 3.6 x 107 miles from the sun and Neptune is 2.796 x 109 miles from the sun. Expressed in scientific notation, what is the ratio of distance from Mercury to the sun compared to the distance from Neptune to the sun?
A 2.76 x 109
B 1.29 x 10-2
C 1.29 x 10-1
D 1.29 x 10-3
14 What is the value of m if 2 3 1 B 665 2 C 11
D 36.5
A 443 15
Written in simplest radical form, the expression shown is equal to —
A
B
C
D
16 Simplify. A
B
C
D
17 Simplify the expression: √8x5y6
A
B
C
D
2x2y3√2x
2x2y3√2
4xy√2x
4x2y3√2x
18 Click on a box to choose the expression.
Which expression is the simplest form of √300x4y9 ?
A 5x2y4√12y
B 10x2y4√3y
C 3x2y4√10y
D 5x2y3√12
E 10x2y3√3
19 Directions: Type your answer in the box.
Look at the equation. Which expression can be placed under the radical symbol to make this statement true?
20 Directions: Click on a box to choose each expression you want to select. You must select all correct expressions.
If x > 0 and y > 0, identify the expressions equivalent to 6x 2y 6√5x.
21 Which point on the number line best represents the cube root of 204? A
B
C
D
A
B
C
D
22 Which expression is in simplest form?
A 4x√10x
B 2x√12x
C 4x√3x3
D 2x√8x3
23 Directions: Type your answer in the box.
What value can be placed in front of the radical symbol to make this statement true? 24 Click on a box to choose an answer. You must select all correct answers.
When √405x49y36 is simplified completely, what terms are found on the outside of the radical?
5
y6
x24
y18
x7
9