Question 1

Write 7,000,000 in scientific notation.

Accepted Answer

A)  $( 0.7 ) ( 10 ) ^ { 6 }$ 
B)  $( 7 ) ( 10 ) ^ { 6 }$ 
C)  $( 7 ) ( 10 ) ^ { 7 }$ 
D)  $( 0.7 ) ( 10 ) ^ { 7 }$ 
E)  $( 7 ) ( 10 ) ^ { 5 }$ 
A)  $( 0.7 ) ( 10 ) ^ { 6 }$ 
B)  $( 7 ) ( 10 ) ^ { 6 }$ 
C)  $( 7 ) ( 10 ) ^ { 7 }$ 
D)  $( 0.7 ) ( 10 ) ^ { 7 }$ 
E)  $( 7 ) ( 10 ) ^ { 5 }$

Question 2

Solve the equation. $\sqrt { - 5 x + 26 } = x - 4$

Accepted Answer

A)  x = 5 
B)  x = -4 
C)  x = 4 
A)  x = 5 
B)  x = -4 
C)  x = 4

Question 3

Solve the equation. $\sqrt { x + 10 } = \sqrt { x - 1 } + 1$

Accepted Answer

A)  x = -6 
B)  x = 6 
C)  x = 26 
A)  x = -6 
B)  x = 6 
C)  x = 26

Question 4

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 11 } { 18 x ^ { 2 } } }$

Accepted Answer

A)  $\frac { \sqrt { 22 } } { 6 x }$ 
B)  $\frac { x \sqrt { 11 } } { 18 }$ 
C)  $\frac { \sqrt { 22 } } { 18 x }$ 
D)  $\frac { x \sqrt { 22 } } { 6 }$ 
A)  $\frac { \sqrt { 22 } } { 6 x }$ 
B)  $\frac { x \sqrt { 11 } } { 18 }$ 
C)  $\frac { \sqrt { 22 } } { 18 x }$ 
D)  $\frac { x \sqrt { 22 } } { 6 }$

Question 5

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { 12 x + 8 y }$

Accepted Answer

A)  $2 \sqrt { 3 x + 2 y }$ 
B)  $4 \sqrt { 5 x y }$ 
C)  $4 \sqrt { 3 x + 2 y }$ 
D)  $2 \sqrt { x + y }$ 
A)  $2 \sqrt { 3 x + 2 y }$ 
B)  $4 \sqrt { 5 x y }$ 
C)  $4 \sqrt { 3 x + 2 y }$ 
D)  $2 \sqrt { x + y }$

Question 6

Change the radical to simplest radical form. $2 \sqrt { 18 }$

Accepted Answer

The answer of Change the radical to simplest radical form....

Question 7

Change the radical to simplest radical form. $\frac { 3 } { 8 } \sqrt { 320 }$

Accepted Answer

The answer of Change the radical to simplest radical form....

Question 8

Solve the equation. $\sqrt { 5 y - 19 } - 3 = 0$

Accepted Answer

The answer of Solve the equation. \(\sqrt { 5 y...

Question 9

Evaluate. $\sqrt [ 3 ] { \frac { 64 } { 125 } }$

Accepted Answer

The answer of Evaluate. \(\sqrt [ 3 ] { \frac...

Question 10

Write $y ^ { \frac { 8 } { 3 } }$ in radical form.

Accepted Answer

The answer of Write \(y ^ { \frac { 8...

Question 11

When switching from scientific notation to ordinary decimal notation, if the exponent on 10 is negative, move the decimal point to the left.

Accepted Answer

A) True 
 B)False

Question 12

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 20 x } + 3 \sqrt { 80 x } - 6 \sqrt { 125 x }$

Accepted Answer

A)  $5 \sqrt { - 14 x }$ 
B)  $- 14 \sqrt { x }$ 
C)  $5 \sqrt { x }$ 
D)  $- 14 \sqrt { 5 x }$ 
A)  $5 \sqrt { - 14 x }$ 
B)  $- 14 \sqrt { x }$ 
C)  $5 \sqrt { x }$ 
D)  $- 14 \sqrt { 5 x }$

Question 13

Solve the equation. $\sqrt { 3 y + 10 } = 5$

Accepted Answer

A)  y = 6 
B)  y = 5 
C)  y = 3 
A)  y = 6 
B)  y = 5 
C)  y = 3

Question 14

Use the distributive property to help simplify the expression. $9 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }$

Accepted Answer

A)  $28 \sqrt { 2 }$ 
B)  $40 \sqrt { 2 }$ 
C)  $33 \sqrt { 2 }$ 
D)  $31 \sqrt { 2 }$ 
A)  $28 \sqrt { 2 }$ 
B)  $40 \sqrt { 2 }$ 
C)  $33 \sqrt { 2 }$ 
D)  $31 \sqrt { 2 }$

Question 15

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )$

Accepted Answer

The answer of Find the following product and express answer...

Question 16

Evaluate the numerical expression. $\left( \frac { 1 } { 49 } \right) ^ { - \frac { 3 } { 2 } }$

Accepted Answer

The answer of Evaluate the numerical expression. \(\left( \frac {...

Question 17

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 8 x } + 6 \sqrt { 18 x } - 2 \sqrt { 32 x }$

Accepted Answer

The answer of Use the distributive property to help simplify...

Question 18

The exponent $\frac { 1 } { 2 }$ means the same as square root.

Accepted Answer

A) True 
 B)False

Question 19

To solve a radical equation with one radical, isolate the radical on one side of the equation.

Accepted Answer

A) True 
 B)False

Question 20

Simplify the expression. Express final results without using zero or negative integers as exponents. ( 2 x 4 y -5 ) -3 Please enter your answer as a fraction.

Accepted Answer

Write 7,000,000 in scientific notation.

Solve the equation. $\sqrt { - 5 x + 26 } = x - 4$

Solve the equation. $\sqrt { x + 10 } = \sqrt { x - 1 } + 1$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 11 } { 18 x ^ { 2 } } }$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { 12 x + 8 y }$

Change the radical to simplest radical form. $2 \sqrt { 18 }$

Change the radical to simplest radical form. $\frac { 3 } { 8 } \sqrt { 320 }$

Solve the equation. $\sqrt { 5 y - 19 } - 3 = 0$

Evaluate. $\sqrt [ 3 ] { \frac { 64 } { 125 } }$

Write $y ^ { \frac { 8 } { 3 } }$ in radical form.

When switching from scientific notation to ordinary decimal notation, if the exponent on 10 is negative, move the decimal point to the left.

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 20 x } + 3 \sqrt { 80 x } - 6 \sqrt { 125 x }$

Solve the equation. $\sqrt { 3 y + 10 } = 5$

Use the distributive property to help simplify the expression. $9 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }$

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )$

Evaluate the numerical expression. $\left( \frac { 1 } { 49 } \right) ^ { - \frac { 3 } { 2 } }$

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 8 x } + 6 \sqrt { 18 x } - 2 \sqrt { 32 x }$

The exponent $\frac { 1 } { 2 }$ means the same as square root.

To solve a radical equation with one radical, isolate the radical on one side of the equation.

Simplify the expression. Express final results without using zero or negative integers as exponents. ( 2 x ⁴ y ^-5 ) ^-3 Please enter your answer as a fraction.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Exam 10: Exponents and Radicals

Write 7,000,000 in scientific notation.

Solve the equation. −5x+26=x−4\sqrt { - 5 x + 26 } = x - 4−5x+26​=x−4

Solve the equation. x+10=x−1+1\sqrt { x + 10 } = \sqrt { x - 1 } + 1x+10​=x−1​+1

Express the following expression in simplest radical form. All variables represent positive real numbers. 1118x2\sqrt { \frac { 11 } { 18 x ^ { 2 } } }18x211​​

Express the following expression in simplest radical form. All variables represent positive real numbers. 12x+8y\sqrt { 12 x + 8 y }12x+8y​

Change the radical to simplest radical form. 2182 \sqrt { 18 }218​

Change the radical to simplest radical form. 38320\frac { 3 } { 8 } \sqrt { 320 }83​320​

Solve the equation. 5y−19−3=0\sqrt { 5 y - 19 } - 3 = 05y−19​−3=0

Evaluate. 641253\sqrt [ 3 ] { \frac { 64 } { 125 } }312564​​

Write y83y ^ { \frac { 8 } { 3 } }y38​ in radical form.

When switching from scientific notation to ordinary decimal notation, if the exponent on 10 is negative, move the decimal point to the left.

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. 220x+380x−6125x2 \sqrt { 20 x } + 3 \sqrt { 80 x } - 6 \sqrt { 125 x }220x​+380x​−6125x​

Solve the equation. 3y+10=5\sqrt { 3 y + 10 } = 53y+10​=5

Use the distributive property to help simplify the expression. 950−22−589 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }950​−22​−58​

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. 21003(10103−201003)2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )23100​(10310​−203100​)

Evaluate the numerical expression. (149)−32\left( \frac { 1 } { 49 } \right) ^ { - \frac { 3 } { 2 } }(491​)−23​

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. 28x+618x−232x2 \sqrt { 8 x } + 6 \sqrt { 18 x } - 2 \sqrt { 32 x }28x​+618x​−232x​

The exponent 12\frac { 1 } { 2 }21​ means the same as square root.

To solve a radical equation with one radical, isolate the radical on one side of the equation.

Simplify the expression. Express final results without using zero or negative integers as exponents. ( 2 x 4 y -5 ) -3 Please enter your answer as a fraction.

Some Basic Concepts of Arithmetic and Algebra

The Real Numbers

Equations, Inequalities and Problem Solving

Formulas and Problem Solving

Coordinate Geometry and Linear Systems

Exponents and Polynomials

Factoring, Solving Equations and Problem Solving

A Transition From Elementary Algebra to Intermediate Algebra

Rational Expressions

Quadratic Equations and Inequalities

Coordinate Geometry: Lines, Parabolas, Circles, Ellipses and Hyperbolas

Functions

Exponential and Logarithmic Functions

Systems of Equations: Matrices and Determinants

Filters

Solve the equation. $\sqrt { - 5 x + 26 } = x - 4$

Solve the equation. $\sqrt { x + 10 } = \sqrt { x - 1 } + 1$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { \frac { 11 } { 18 x ^ { 2 } } }$

Express the following expression in simplest radical form. All variables represent positive real numbers. $\sqrt { 12 x + 8 y }$

Change the radical to simplest radical form. $2 \sqrt { 18 }$

Change the radical to simplest radical form. $\frac { 3 } { 8 } \sqrt { 320 }$

Solve the equation. $\sqrt { 5 y - 19 } - 3 = 0$

Evaluate. $\sqrt [ 3 ] { \frac { 64 } { 125 } }$

Write $y ^ { \frac { 8 } { 3 } }$ in radical form.

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 20 x } + 3 \sqrt { 80 x } - 6 \sqrt { 125 x }$

Solve the equation. $\sqrt { 3 y + 10 } = 5$

Use the distributive property to help simplify the expression. $9 \sqrt { 50 } - 2 \sqrt { 2 } - 5 \sqrt { 8 }$

Find the following product and express answer in simplest radical form. All variables represent nonnegative real numbers. $2 \sqrt [ 3 ] { 100 } ( 10 \sqrt [ 3 ] { 10 } - 20 \sqrt [ 3 ] { 100 } )$

Evaluate the numerical expression. $\left( \frac { 1 } { 49 } \right) ^ { - \frac { 3 } { 2 } }$

Use the distributive property to help simplify the following expression. All variables represent positive real numbers. $2 \sqrt { 8 x } + 6 \sqrt { 18 x } - 2 \sqrt { 32 x }$

The exponent $\frac { 1 } { 2 }$ means the same as square root.

Simplify the expression. Express final results without using zero or negative integers as exponents. ( 2 x ⁴ y ^-5 ) ^-3 Please enter your answer as a fraction.