Question 1

Simplify the exponential expression.

Accepted Answer

A)  -36 p 
B)  6 p 2 
C)  36 p 2 
D)  not a real number 
A)  -36 p 
B)  6 p 2 
C)  36 p 2 
D)  not a real number

Question 2

Use the distributive property to help simplify the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 3

Simplify the expression.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 4

__________

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Multiply and simplify where possible.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Find the value.

Accepted Answer

A)  -9 
B)  9 
C)    
D)  - 1 
E)  1 
A)  -9 
B)  9 
C)    
D)  - 1 
E)  1

Question 7

Find the distance between points P and Q , where P (5, 6) and Q (8, -7).

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 8

Find the square root without using a calculator.

Accepted Answer

A)  1.3 
B)  12 
C)  0.12 
D)  1.1 
E)  1.2 
A)  1.3 
B)  12 
C)  0.12 
D)  1.1 
E)  1.2

Question 9

Find the length of AB, if BC =   .

Accepted Answer

A)  18 
B)    
C)    
D)    
E)  6 
A)  18 
B)    
C)    
D)    
E)  6

Question 10

Perform the operation. Do not use negative exponents in the answer. Assume that all variables represent positive numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Write the expression in a + bi form.

Accepted Answer

A)    
B)    
C)    
D)    
A)    
B)    
C)    
D)

Question 12

Rationalize the numerator of a fraction.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

After joining two pieces of picture frame molding together, a frame maker checks her work by making a diagonal measurement (see the illustration). If the sides of the frame that form a right angle are   in. and   in., what measurement should the frame maker read on the yardstick?

Accepted Answer

A)    in. 
B)    in. 
C)  11 in. 
D)  13 in. 
E)  17 in. 
A)    in. 
B)    in. 
C)  11 in. 
D)  13 in. 
E)  17 in.

Question 14

Perform the operation. Do not use negative exponents in the answer.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Simplify the expression. All variables represent positive real numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Solve the equation. Check all solutions.

Accepted Answer

A)  39 
B)  64 
C)  41 
D)  52 
E)  no solution 
A)  39 
B)  64 
C)  41 
D)  52 
E)  no solution

Question 17

Write the expression in   form.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Simplify the expression. Assume that all variables represent positive numbers.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Johannes Kepler discovered that a planet's mean distance   from the sun (in astronomical units) is related to its period   (in years) by the formula   Find   when   and   .

Accepted Answer

A)  19.17 AU 
B)  15.34 AU 
C)  17.25 AU 
D)  18.58 AU 
E)  13.42 AU 
A)  19.17 AU 
B)  15.34 AU 
C)  17.25 AU 
D)  18.58 AU 
E)  13.42 AU

Question 20

The formula   relates the speed   (in mph) of a car and the distance   of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement,   .

Accepted Answer

A)  about 73 ft 
B)  about 90 ft 
C)  about 113 ft 
D)  about 95 ft 
E)  about 106 ft 
A)  about 73 ft 
B)  about 90 ft 
C)  about 113 ft 
D)  about 95 ft 
E)  about 106 ft

Simplify the exponential expression.

Use the distributive property to help simplify the expression.

Simplify the expression.

__________

Multiply and simplify where possible.

Find the value.

Find the distance between points P and Q , where P (5, 6) and Q (8, -7).

Find the square root without using a calculator.

Find the length of AB, if BC = .

Perform the operation. Do not use negative exponents in the answer. Assume that all variables represent positive numbers.

Write the expression in a + bi form.

Rationalize the numerator of a fraction. $Rationalize the numerator of a fraction.$

After joining two pieces of picture frame molding together, a frame maker checks her work by making a diagonal measurement (see the illustration). If the sides of the frame that form a right angle are in. and in., what measurement should the frame maker read on the yardstick?

Perform the operation. Do not use negative exponents in the answer.

Simplify the expression. All variables represent positive real numbers.

Solve the equation. Check all solutions.

Write the expression in form.

Simplify the expression. Assume that all variables represent positive numbers.

Johannes Kepler discovered that a planet's mean distance from the sun (in astronomical units) is related to its period (in years) by the formula Find when and .

The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Exam 7: Radical Expressions and Equations

Simplify the exponential expression.

Use the distributive property to help simplify the expression.

Simplify the expression.

__________

Multiply and simplify where possible.

Find the value.

Find the distance between points P and Q , where P (5, 6) and Q (8, -7).

Find the square root without using a calculator.

Find the length of AB, if BC = .

Perform the operation. Do not use negative exponents in the answer. Assume that all variables represent positive numbers.

Write the expression in a + bi form.

Rationalize the numerator of a fraction.

After joining two pieces of picture frame molding together, a frame maker checks her work by making a diagonal measurement (see the illustration). If the sides of the frame that form a right angle are in. and in., what measurement should the frame maker read on the yardstick?

Perform the operation. Do not use negative exponents in the answer.

Simplify the expression. All variables represent positive real numbers.

Solve the equation. Check all solutions.

Write the expression in form.

Simplify the expression. Assume that all variables represent positive numbers.

Johannes Kepler discovered that a planet's mean distance from the sun (in astronomical units) is related to its period (in years) by the formula Find when and .

The formula relates the speed (in mph) of a car and the distance of the skid when a driver hits the brakes. How far will a car skid if it is going 52 mph on dry pavement? On dry pavement, .

A Review of Basic Algebra

Graphs, Equations of Lines, and Functions

Systems of Linear Equations

Inequalities

Polynomials, Polynomial Functions, and Equations

Rational Expressions

Quadratic Equations and Functions; Inequalities; and Algebra, Composition, and Inverses of Functions

Exponential and Logarithmic Functions

Conic Sections and More Graphing

Miscellaneous Topics

Filters

Rationalize the numerator of a fraction. $Rationalize the numerator of a fraction.$