Question 1

Simplify and write with positive exponents only.
-$4 ^ { - 3 }$

Accepted Answer

A)  64 
B)   -64 
C)   $\frac { 1 } { 12 }$ 
D)   $\frac { 1 } { 64 }$ 
A)  64 
B)   -64 
C)   $\frac { 1 } { 12 }$ 
D)   $\frac { 1 } { 64 }$

Question 2

Write the phrase as a variable expression. Use x to represent "a number."
-A number less than five and nine-tenths

Accepted Answer

A)  $x - 5 \frac { 9 } { 10 }$ 
B)  $5 \frac { 9 } { 10 } - x$ 
C)  $5 \frac { 9 } { 10 } x$ 
D)  $x + 5 \frac { 9 } { 10 }$ 
A)  $x - 5 \frac { 9 } { 10 }$ 
B)  $5 \frac { 9 } { 10 } - x$ 
C)  $5 \frac { 9 } { 10 } x$ 
D)  $x + 5 \frac { 9 } { 10 }$

Question 3

Write the number in standard notation.
-$5.4435 \times 10 ^ { 5 }$

Accepted Answer

A)   272.175 
B)  54,435 
C)   5,443,500 
D)  544,350 
A)   272.175 
B)  54,435 
C)   5,443,500 
D)  544,350

Question 4

Find the root.
-$\sqrt [ 5 ] { 32 }$

Accepted Answer

A)  4 
B)  2 
C)  16 
D)  8 
A)  4 
B)  2 
C)  16 
D)  8

Question 5

Simplify and write with positive exponents only.
-$x ^ { - 5 } \cdot x ^ { 3 }$

Accepted Answer

A)  $- x ^ { 2 }$ 
B)   $x ^ { 2 }$ 
C)  -$\frac { 1 } { x ^ { 2 } }$ 
D)   $\frac { 1 } { x ^ { 2 } }$ 
A)  $- x ^ { 2 }$ 
B)   $x ^ { 2 }$ 
C)  -$\frac { 1 } { x ^ { 2 } }$ 
D)   $\frac { 1 } { x ^ { 2 } }$

Question 6

Determine if the statement is true or false.
- 25>14

Accepted Answer

A) True 
 B)False

Question 7

Simplify. Write the answer using positive exponents only.
-$\left( \frac { x ^ { - 5 } } { y ^ { 5 } } \right) ^ { - 3 }$

Accepted Answer

A)  $\frac { x ^ { - 8 } } { y ^ { 2 } }$ 
B)  $\frac { y ^ { 2 } } { x ^ { - 8 } }$ 
C)  $\frac { 1 } { \mathrm { x } ^ { 15 } \mathrm { y } ^ { 15 } }$ 
D)  $x ^ { 15 } y 15$ 
A)  $\frac { x ^ { - 8 } } { y ^ { 2 } }$ 
B)  $\frac { y ^ { 2 } } { x ^ { - 8 } }$ 
C)  $\frac { 1 } { \mathrm { x } ^ { 15 } \mathrm { y } ^ { 15 } }$ 
D)  $x ^ { 15 } y 15$

Question 8

Add or subtract as indicated.
- -14+(-13)

Accepted Answer

A)  27 
B)   -27 
C)  1 
D)   -1 
A)  27 
B)   -27 
C)  1 
D)   -1

Question 9

Simplify. Write the answer using positive exponents only.
-$\left( x ^ { 2 } \right) ^ { - 7 }$

Accepted Answer

A)  $- 7 x ^ { 2 }$ 
B)  $- 7 \times 14$ 
C)  $- x ^ { 14 }$ 
D)  $\frac { 1 } { x ^ { 14 } }$ 
A)  $- 7 x ^ { 2 }$ 
B)  $- 7 \times 14$ 
C)  $- x ^ { 14 }$ 
D)  $\frac { 1 } { x ^ { 14 } }$

Question 10

Use the quotient rule to simplify.
-$\frac { x ^ { 13 } y ^ { 11 } } { x ^ { 2 } y ^ { 5 } }$

Accepted Answer

A)  $x ^ { 10 } y ^ { 5 }$ 
B)  $x y ^ { 6 }$ 
C)  $x ^ { 10 } y ^ { 6 }$ 
D)  $x ^ { 11 } y ^ { 6 }$ 
A)  $x ^ { 10 } y ^ { 5 }$ 
B)  $x y ^ { 6 }$ 
C)  $x ^ { 10 } y ^ { 6 }$ 
D)  $x ^ { 11 } y ^ { 6 }$

Question 11

Simplify.
- 7 x+15 y-4 x-7.2+10

Accepted Answer

A)   11 x+15 y+2.8 
B)   3 x+15 y+2.8 
C)   3 x+15 y-7.2+10 
D)   3 x+7.8 y+10 
A)   11 x+15 y+2.8 
B)   3 x+15 y+2.8 
C)   3 x+15 y-7.2+10 
D)   3 x+7.8 y+10

Question 12

Simplify.
-$\frac { 7 + ( - 4 ) ^ { 2 } + 6 ( 2 ) } { 6 ( 8 - 6 ) }$

Accepted Answer

A)  $\frac { 35 } { 12 }$ 
B)  2 
C)  0 
D)  $\frac { 44 } { 21 }$ 
A)  $\frac { 35 } { 12 }$ 
B)  2 
C)  0 
D)  $\frac { 44 } { 21 }$

Question 13

Complete the statement to illustrate the given property.
-z+0=_____  Additive identity property

Accepted Answer

A)  1 
B)  0 
C)   0+z 
D)   z 
A)  1 
B)  0 
C)   0+z 
D)   z

Question 14

Simplify the expression.
-$6 ( - 5 ) - ( - 3 ) ^ { 3 } + \sqrt { 36 }$

Accepted Answer

A)   -35,931 
B)   -51 
C)   -19,677 
D)  3 
A)   -35,931 
B)   -51 
C)   -19,677 
D)  3

Question 15

Evaluate the expression.
-$4 ( x + y ) ^ { 0 }$

Accepted Answer

A)  1 
B)  0 
C)   4x+4y 
D)  4 
A)  1 
B)  0 
C)   4x+4y 
D)  4

Question 16

Which of these is NOT listed as a tip to help you succeed in this course?

Accepted Answer

A)  Hand in assignments on time. 
B)  Read your textbook after you attend class. 
C)  Exchange names and phone numbers with at least one other person in class. 
D)  Know how to get help if you need it. 
A)  Hand in assignments on time. 
B)  Read your textbook after you attend class. 
C)  Exchange names and phone numbers with at least one other person in class. 
D)  Know how to get help if you need it.

Question 17

Simplify. Write the answer using positive exponents only.
-$\left( \frac { - 4 p } { q } \right) ^ { 2 }$

Accepted Answer

A)  $\frac { - 8 p ^ { 2 } } { q ^ { 2 } }$ 
B)  $\frac { - 8 p } { q }$ 
C)  $\frac { 16 p ^ { 2 } } { q ^ { 2 } }$ 
D)  $\frac { 16 p } { q ^ { 2 } }$ 
A)  $\frac { - 8 p ^ { 2 } } { q ^ { 2 } }$ 
B)  $\frac { - 8 p } { q }$ 
C)  $\frac { 16 p ^ { 2 } } { q ^ { 2 } }$ 
D)  $\frac { 16 p } { q ^ { 2 } }$

Question 18

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }$

Accepted Answer

A)  $x ^ { 8 z } + 2$ 
B)  $z x ^ { - 108 z + 2 }$ 
C)  $x ^ { - 108 z + 2 }$ 
D)  $z x ^ { 8 z + 2 }$ 
A)  $x ^ { 8 z } + 2$ 
B)  $z x ^ { - 108 z + 2 }$ 
C)  $x ^ { - 108 z + 2 }$ 
D)  $z x ^ { 8 z + 2 }$

Question 19

Simplify.
- 1+8(2-8 m)

Accepted Answer

A)   -64 m+16 
B)   64m+17 
C)   -8m+17 
D)   -64m+17 
A)   -64 m+16 
B)   64m+17 
C)   -8m+17 
D)   -64m+17

Question 20

Use the quotient rule to simplify.
-$\frac { 56 x ^ { 9 } y ^ { 13 } } { 8 x ^ { 3 } y ^ { 4 } }$

Accepted Answer

A)  $7 x ^ { 5 } y ^ { 6 }$ 
B)  $7 x ^ { 5 } y ^ { 8 }$ 
C)  $x ^ { 6 } y ^ { 9 }$ 
D)  $7 x ^ { 6 } y ^ { 9 }$ 
A)  $7 x ^ { 5 } y ^ { 6 }$ 
B)  $7 x ^ { 5 } y ^ { 8 }$ 
C)  $x ^ { 6 } y ^ { 9 }$ 
D)  $7 x ^ { 6 } y ^ { 9 }$

Simplify and write with positive exponents only. - $4 ^ { - 3 }$

Write the phrase as a variable expression. Use x to represent "a number." -A number less than five and nine-tenths

Write the number in standard notation. - $5.4435 \times 10 ^ { 5 }$

Find the root. - $\sqrt [ 5 ] { 32 }$

Simplify and write with positive exponents only. - $x ^ { - 5 } \cdot x ^ { 3 }$

Determine if the statement is true or false. - 25>14

Simplify. Write the answer using positive exponents only. - $\left( \frac { x ^ { - 5 } } { y ^ { 5 } } \right) ^ { - 3 }$

Add or subtract as indicated. - -14+(-13)

Simplify. Write the answer using positive exponents only. - $\left( x ^ { 2 } \right) ^ { - 7 }$

Use the quotient rule to simplify. - $\frac { x ^ { 13 } y ^ { 11 } } { x ^ { 2 } y ^ { 5 } }$

Simplify. - 7 x+15 y-4 x-7.2+10

Simplify. - $\frac { 7 + ( - 4 ) ^ { 2 } + 6 ( 2 ) } { 6 ( 8 - 6 ) }$

Complete the statement to illustrate the given property. -z+0=_____ Additive identity property

Simplify the expression. - $6 ( - 5 ) - ( - 3 ) ^ { 3 } + \sqrt { 36 }$

Evaluate the expression. - $4 ( x + y ) ^ { 0 }$

Which of these is NOT listed as a tip to help you succeed in this course?

Simplify. Write the answer using positive exponents only. - $\left( \frac { - 4 p } { q } \right) ^ { 2 }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }$

Simplify. - 1+8(2-8 m)

Use the quotient rule to simplify. - $\frac { 56 x ^ { 9 } y ^ { 13 } } { 8 x ^ { 3 } y ^ { 4 } }$

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

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

Simplify and write with positive exponents only. - 4−34 ^ { - 3 }4−3

Write the phrase as a variable expression. Use x to represent "a number." -A number less than five and nine-tenths

Write the number in standard notation. - 5.4435×1055.4435 \times 10 ^ { 5 }5.4435×105

Find the root. - 325\sqrt [ 5 ] { 32 }532​

Simplify and write with positive exponents only. - x−5⋅x3x ^ { - 5 } \cdot x ^ { 3 }x−5⋅x3

Determine if the statement is true or false. - 25>14

Simplify. Write the answer using positive exponents only. - (x−5y5)−3\left( \frac { x ^ { - 5 } } { y ^ { 5 } } \right) ^ { - 3 }(y5x−5​)−3

Add or subtract as indicated. - -14+(-13)

Simplify. Write the answer using positive exponents only. - (x2)−7\left( x ^ { 2 } \right) ^ { - 7 }(x2)−7

Use the quotient rule to simplify. - x13y11x2y5\frac { x ^ { 13 } y ^ { 11 } } { x ^ { 2 } y ^ { 5 } }x2y5x13y11​

Simplify. - 7 x+15 y-4 x-7.2+10

Simplify. - 7+(−4)2+6(2)6(8−6)\frac { 7 + ( - 4 ) ^ { 2 } + 6 ( 2 ) } { 6 ( 8 - 6 ) }6(8−6)7+(−4)2+6(2)​

Complete the statement to illustrate the given property. -z+0=_____ Additive identity property

Simplify the expression. - 6(−5)−(−3)3+366 ( - 5 ) - ( - 3 ) ^ { 3 } + \sqrt { 36 }6(−5)−(−3)3+36​

Evaluate the expression. - 4(x+y)04 ( x + y ) ^ { 0 }4(x+y)0

Which of these is NOT listed as a tip to help you succeed in this course?

Simplify. Write the answer using positive exponents only. - (−4pq)2\left( \frac { - 4 p } { q } \right) ^ { 2 }(q−4p​)2

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - x−4z⋅x3z⋅x9z+2x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }x−4z⋅x3z⋅x9z+2

Simplify. - 1+8(2-8 m)

Use the quotient rule to simplify. - 56x9y138x3y4\frac { 56 x ^ { 9 } y ^ { 13 } } { 8 x ^ { 3 } y ^ { 4 } }8x3y456x9y13​

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

Conic Sections

Fractions

Filters

Simplify and write with positive exponents only. - $4 ^ { - 3 }$

Write the number in standard notation. - $5.4435 \times 10 ^ { 5 }$

Find the root. - $\sqrt [ 5 ] { 32 }$

Simplify and write with positive exponents only. - $x ^ { - 5 } \cdot x ^ { 3 }$

Simplify. Write the answer using positive exponents only. - $\left( \frac { x ^ { - 5 } } { y ^ { 5 } } \right) ^ { - 3 }$

Simplify. Write the answer using positive exponents only. - $\left( x ^ { 2 } \right) ^ { - 7 }$

Use the quotient rule to simplify. - $\frac { x ^ { 13 } y ^ { 11 } } { x ^ { 2 } y ^ { 5 } }$

Simplify. - $\frac { 7 + ( - 4 ) ^ { 2 } + 6 ( 2 ) } { 6 ( 8 - 6 ) }$

Simplify the expression. - $6 ( - 5 ) - ( - 3 ) ^ { 3 } + \sqrt { 36 }$

Evaluate the expression. - $4 ( x + y ) ^ { 0 }$

Simplify. Write the answer using positive exponents only. - $\left( \frac { - 4 p } { q } \right) ^ { 2 }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { - 4 z } \cdot x ^ { 3 z } \cdot x ^ { 9 z + 2 }$

Use the quotient rule to simplify. - $\frac { 56 x ^ { 9 } y ^ { 13 } } { 8 x ^ { 3 } y ^ { 4 } }$