Question 1

Use the product rule to simplify the expression.
-$\left( - 4 x y ^ { 3 } \right) \left( x ^ { 3 } y ^ { 6 } \right) \left( - 8 x ^ { 6 } \right)$

Accepted Answer

A)  $32 x ^ { 10 } y ^ { 9 }$ 
B)  $32 x ^ { 9 } y ^ { 9 }$ 
C)  $- 32 x ^ { 10 } y ^ { 9 }$ 
D)  $32 x ^ { 10 } y ^ { 6 }$ 
A)  $32 x ^ { 10 } y ^ { 9 }$ 
B)  $32 x ^ { 9 } y ^ { 9 }$ 
C)  $- 32 x ^ { 10 } y ^ { 9 }$ 
D)  $32 x ^ { 10 } y ^ { 6 }$

Question 2

Solve. Write the answer in scientific notation.
-If the density of a substance is  5.56 s 10-3 tons per cubic foot, what would be the mass of  8.69 x 10-7 cubic feet of this substance. (Use the formula D=$\frac { \mathrm { M } } { \mathrm { V } }$.  )

Accepted Answer

A)   4.83 x 10-8  tons 
B)   0.48 x 10-9  tons 
C)   4.83 x 10-10  tons 
D)   4.83 x 10-9  tons 
A)   4.83 x 10-8  tons 
B)   0.48 x 10-9  tons 
C)   4.83 x 10-10  tons 
D)   4.83 x 10-9  tons

Question 3

Find the absolute value.
-$| 0 |$

Accepted Answer

A)   -1 
B)  0 
C)  10 
D)  1 
A)   -1 
B)  0 
C)  10 
D)  1

Question 4

Simplify the expression.
-$\frac { 12 + 4 \cdot 9 } { 3 ^ { 2 } - 3 \cdot 6 + 10 - 1 ^ { 3 } }$

Accepted Answer

A)  $- \frac { 16 } { 5 }$ 
B)   $\frac { 16 } { 11 }$ 
C)  48 
D)  undefined 
A)  $- \frac { 16 } { 5 }$ 
B)   $\frac { 16 } { 11 }$ 
C)  48 
D)  undefined

Question 5

Perform the indicated operation. Write the answer in scientific notation.
-$\left( 5 \times 10 ^ { 8 } \right) \left( 4.3 \times 10 ^ { 8 } \right)$

Accepted Answer

A)   2.15 x 1064 
B)   215 x 1016 
C)   21.5 x 1017 
D)   2.15 x 1017 
A)   2.15 x 1064 
B)   215 x 1016 
C)   21.5 x 1017 
D)   2.15 x 1017

Question 6

Simplify and write with positive exponents only.
-$\frac { 3 m ^ { - 3 } n ^ { - 4 } } { 4 p ^ { - 2 } }$

Accepted Answer

A)  $\frac { 4 p ^ { 2 } } { 3 m ^ { 3 } n ^ { 4 } }$ 
B)  $\frac { 3 } { 4 m ^ { 3 } n ^ { 4 } p ^ { 2 } }$ 
C)  $\frac { 3 p ^ { 2 } } { 4 m ^ { 3 } n ^ { 4 } }$ 
D)  $\frac { 16 p ^ { 2 } } { 27 m ^ { 3 } n ^ { 4 } }$ 
A)  $\frac { 4 p ^ { 2 } } { 3 m ^ { 3 } n ^ { 4 } }$ 
B)  $\frac { 3 } { 4 m ^ { 3 } n ^ { 4 } p ^ { 2 } }$ 
C)  $\frac { 3 p ^ { 2 } } { 4 m ^ { 3 } n ^ { 4 } }$ 
D)  $\frac { 16 p ^ { 2 } } { 27 m ^ { 3 } n ^ { 4 } }$

Question 7

Evaluate the expression.
- 2x0

Accepted Answer

A)  2 
B)   2x+1 
C)  3 
D)  4 
A)  2 
B)   2x+1 
C)  3 
D)  4

Question 8

Complete the statement to illustrate the given property.
- (8 x+8y)+7z=________ Associative property of addition

Accepted Answer

A)   (8y+8 x)+7z 
B)   8x+8y+7z 
C)   (8x+ y+7z) 
D)   8x+(8y+7z) 
A)   (8y+8 x)+7z 
B)   8x+8y+7z 
C)   (8x+ y+7z) 
D)   8x+(8y+7z)

Question 9

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\left( x ^ { 9 b + 2 } \right) ^ { 5 }$

Accepted Answer

A)  $x ^ { 9 b + 10 }$ 
B)  $5 x ^ { 9 b + 2 }$ 
C)  $\mathrm { x } ^ { 9 b + 7 }$ 
D)  $x ^ { 45 b } + 10$ 
A)  $x ^ { 9 b + 10 }$ 
B)  $5 x ^ { 9 b + 2 }$ 
C)  $\mathrm { x } ^ { 9 b + 7 }$ 
D)  $x ^ { 45 b } + 10$

Question 10

Simplify.
- 5.6x-1.7-3.4x+7+2.2x

Accepted Answer

A)   4.4x+8.7 
B)   4.4x+5.3 
C)   4.4x-5.3 
D)   11.2x+5.3 
A)   4.4x+8.7 
B)   4.4x+5.3 
C)   4.4x-5.3 
D)   11.2x+5.3

Question 11

Simplify. Write the answer using positive exponents only.
-$\left(\frac{x^{-4}}{y^{6}}\right)$-1

Accepted Answer

A)  $\frac { 1 } { x ^ { 4 } y ^ { 6 } }$ 
B)  $x ^ { 4 } y ^ { 6 }$ 
C)  $\frac { x ^ { 4 } } { y ^ { 6 } }$ 
D)  $\frac { x ^ { - 5 } } { y ^ { 5 } }$ 
A)  $\frac { 1 } { x ^ { 4 } y ^ { 6 } }$ 
B)  $x ^ { 4 } y ^ { 6 }$ 
C)  $\frac { x ^ { 4 } } { y ^ { 6 } }$ 
D)  $\frac { x ^ { - 5 } } { y ^ { 5 } }$

Question 12

Write the number in scientific notation.
- 531.613

Accepted Answer

A)   5.31613 x 103 
B)   5.31613 x 10-3  
C)   5.31613 x 10-2 
D)   5.31613 x 102 
A)   5.31613 x 103 
B)   5.31613 x 10-3  
C)   5.31613 x 10-2 
D)   5.31613 x 102

Question 13

Simplify and write with positive exponents only.
-$6 z ^ { - 4 }$

Accepted Answer

A)  $\frac { 1 } { 1296 z ^ { 4 } }$ 
B)  - $\frac { 1 } { 1296 z ^ { 4 } }$ 
C)   $\frac { 6 } { z ^ { 4 } }$ 
D)  - $\frac { 1296 } { z ^ { 4 } }$ 
A)  $\frac { 1 } { 1296 z ^ { 4 } }$ 
B)  - $\frac { 1 } { 1296 z ^ { 4 } }$ 
C)   $\frac { 6 } { z ^ { 4 } }$ 
D)  - $\frac { 1296 } { z ^ { 4 } }$

Question 14

Perform the indicated operation. Write the answer in scientific notation.
-$\left( 8 \times 10 ^ { 4 } \right) \left( 1.1 \times 10 ^ { 7 } \right)$

Accepted Answer

A)   88 x 1011 
B)   8.8 x 1011 
C)   8.8 x 1012 
D)   8.8 x 1028 
A)   88 x 1011 
B)   8.8 x 1011 
C)   8.8 x 1012 
D)   8.8 x 1028

Question 15

Simplify. Write the answer using positive exponents only.
-$\left( 6 ^ { - 6 } \right) ^ { - 3 }$

Accepted Answer

A)  $\frac { 1 } { 6 ^ { 18 } }$ 
B)  $6 ^ { 18 }$ 
C)  $\frac { 1 } { 6 ^ { 9 } }$ 
D)  $6 ^ { 9 }$ 
A)  $\frac { 1 } { 6 ^ { 18 } }$ 
B)  $6 ^ { 18 }$ 
C)  $\frac { 1 } { 6 ^ { 9 } }$ 
D)  $6 ^ { 9 }$

Question 16

Write the phrase as a variable expression. Use x to represent "a number."
-5 less than 9 times a number

Accepted Answer

A)   5-9x 
B)   5x-9 
C)   9-5x 
D)   9x-5 
A)   5-9x 
B)   5x-9 
C)   9-5x 
D)   9x-5

Question 17

Add or subtract as indicated.
--15.8+(-11.3)

Accepted Answer

A)   4.5 
B)   27.1 
C)   -4.5 
D)   -27.1 
A)   4.5 
B)   27.1 
C)   -4.5 
D)   -27.1

Question 18

Simplify the expression.
-92 - 3.23 + 54 ÷ (-6)

Accepted Answer

A)  2038 
B)  14 
C)  -1142 
D)  -28 
A)  2038 
B)  14 
C)  -1142 
D)  -28

Question 19

Determine whether the statement is true or false.
-$- 3.4 > 3.44$

Accepted Answer

A) True 
 B)False

Question 20

Determine if the statement is true or false.
- 16 $\geq$ 9

Accepted Answer

A) True 
 B)False

Use the product rule to simplify the expression. - $\left( - 4 x y ^ { 3 } \right) \left( x ^ { 3 } y ^ { 6 } \right) \left( - 8 x ^ { 6 } \right)$

Solve. Write the answer in scientific notation. -If the density of a substance is 5.56 s 10^-3 tons per cubic foot, what would be the mass of 8.69 x 10^-7 cubic feet of this substance. (Use the formula D= $\frac { \mathrm { M } } { \mathrm { V } }$ . )

Find the absolute value. - $| 0 |$

Simplify the expression. - $\frac { 12 + 4 \cdot 9 } { 3 ^ { 2 } - 3 \cdot 6 + 10 - 1 ^ { 3 } }$

Perform the indicated operation. Write the answer in scientific notation. - $\left( 5 \times 10 ^ { 8 } \right) \left( 4.3 \times 10 ^ { 8 } \right)$

Simplify and write with positive exponents only. - $\frac { 3 m ^ { - 3 } n ^ { - 4 } } { 4 p ^ { - 2 } }$

Evaluate the expression. - 2x⁰

Complete the statement to illustrate the given property. - (8 x+8y)+7z=________ Associative property of addition

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\left( x ^ { 9 b + 2 } \right) ^ { 5 }$

Simplify. - 5.6x-1.7-3.4x+7+2.2x

Simplify. Write the answer using positive exponents only. - $\left(\frac{x^{-4}}{y^{6}}\right)$ ^-1

Write the number in scientific notation. - 531.613

Simplify and write with positive exponents only. - $6 z ^ { - 4 }$

Perform the indicated operation. Write the answer in scientific notation. - $\left( 8 \times 10 ^ { 4 } \right) \left( 1.1 \times 10 ^ { 7 } \right)$

Simplify. Write the answer using positive exponents only. - $\left( 6 ^ { - 6 } \right) ^ { - 3 }$

Write the phrase as a variable expression. Use x to represent "a number." -5 less than 9 times a number

Add or subtract as indicated. --15.8+(-11.3)

Simplify the expression. -92 - 3.23 + 54 ÷ (-6)

Determine whether the statement is true or false. - $- 3.4 > 3.44$

Determine if the statement is true or false. - 16 $\geq$ 9

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

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Filters

Exam 1: Real Numbers and Algebraic Expressions

Use the product rule to simplify the expression. - (−4xy3)(x3y6)(−8x6)\left( - 4 x y ^ { 3 } \right) \left( x ^ { 3 } y ^ { 6 } \right) \left( - 8 x ^ { 6 } \right)(−4xy3)(x3y6)(−8x6)

Solve. Write the answer in scientific notation. -If the density of a substance is 5.56 s 10-3 tons per cubic foot, what would be the mass of 8.69 x 10-7 cubic feet of this substance. (Use the formula D= MV\frac { \mathrm { M } } { \mathrm { V } }VM​ . )

Find the absolute value. - ∣0∣| 0 |∣0∣

Simplify the expression. - 12+4⋅932−3⋅6+10−13\frac { 12 + 4 \cdot 9 } { 3 ^ { 2 } - 3 \cdot 6 + 10 - 1 ^ { 3 } }32−3⋅6+10−1312+4⋅9​

Perform the indicated operation. Write the answer in scientific notation. - (5×108)(4.3×108)\left( 5 \times 10 ^ { 8 } \right) \left( 4.3 \times 10 ^ { 8 } \right)(5×108)(4.3×108)

Simplify and write with positive exponents only. - 3m−3n−44p−2\frac { 3 m ^ { - 3 } n ^ { - 4 } } { 4 p ^ { - 2 } }4p−23m−3n−4​

Evaluate the expression. - 2x0