Question 1

Write the expression in the form $a + b i$ , where a and b are real numbers. $( 4 - 2 i ) ^ { 2 }$

Accepted Answer

A)  $20 + 0 i$ 
B)  $12 - 16 i$ 
C)  $12 - 8 i$ 
D)  $20 - 8 i$ 
E)  $20 - 16 i$ 
A)  $20 + 0 i$ 
B)  $12 - 16 i$ 
C)  $12 - 8 i$ 
D)  $20 - 8 i$ 
E)  $20 - 16 i$

Question 2

Solve the formula for p. $\frac { 1 } { g } = \frac { 1 } { w } + \frac { 1 } { p }$

Accepted Answer

A)  $p = \frac { g w } { w + g }$ 
B)  $p = \frac { g - w } { g w }$ 
C)  $p = \frac { g w } { g - w }$ 
D)  $p = \frac { g w } { w - g }$ 
E)  $p = \frac { w - g } { g w }$ 
A)  $p = \frac { g w } { w + g }$ 
B)  $p = \frac { g - w } { g w }$ 
C)  $p = \frac { g w } { g - w }$ 
D)  $p = \frac { g w } { w - g }$ 
E)  $p = \frac { w - g } { g w }$

Question 3

Approximate the real-number expression. Express the answer in scientific notation accurate to four significant figures. $\sqrt { \left| 8.24 - 4.76 \times 10 ^ { 4 } \right| + 10 ^ { 5 } }$

Accepted Answer

A)  $3.672 \times 10 ^ { 3 }$ 
B)  $2.603 \times 10 ^ { 3 }$ 
C)  $4.264 \times 10 ^ { 2 }$ 
D)  $4.965 \times 10 ^ { 2 }$ 
E)  $3.842 \times 10 ^ { 2 }$ 
A)  $3.672 \times 10 ^ { 3 }$ 
B)  $2.603 \times 10 ^ { 3 }$ 
C)  $4.264 \times 10 ^ { 2 }$ 
D)  $4.965 \times 10 ^ { 2 }$ 
E)  $3.842 \times 10 ^ { 2 }$

Question 4

Express as a polynomial. $\frac { 7 x ^ { 5 } y z ^ { 6 } - x y ^ { 3 } z } { x y z }$

Accepted Answer

A)  7x 6 z 5  - y 3  
B)  7x 4 z 5  - y 3  
C)  7x 6 yz 5  - y 2  
D)  7x 6 z 5  - y 2  
E)  7x 4 z 5  - y 2  
A)  7x 6 z 5  - y 3  
B)  7x 4 z 5  - y 3  
C)  7x 6 yz 5  - y 2  
D)  7x 6 z 5  - y 2  
E)  7x 4 z 5  - y 2

Question 5

Approximate the real-number expression to four decimal places. $( - 5.05 ) ^ { \frac { 13 } { 3 } }$

Accepted Answer

A)  -1,116.8247 
B)  -1,115.9247 
C)  1,115.9247 
D)  1,115.8247 
E)  -1,115.8247 
A)  -1,116.8247 
B)  -1,115.9247 
C)  1,115.9247 
D)  1,115.8247 
E)  -1,115.8247

Write the expression in the form $a + b i$ , where a and b are real numbers. $( 4 - 2 i ) ^ { 2 }$

Solve the formula for p. $\frac { 1 } { g } = \frac { 1 } { w } + \frac { 1 } { p }$

Approximate the real-number expression. Express the answer in scientific notation accurate to four significant figures. $\sqrt { \left| 8.24 - 4.76 \times 10 ^ { 4 } \right| + 10 ^ { 5 } }$

Express as a polynomial. $\frac { 7 x ^ { 5 } y z ^ { 6 } - x y ^ { 3 } z } { x y z }$

Approximate the real-number expression to four decimal places. $( - 5.05 ) ^ { \frac { 13 } { 3 } }$

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

Exam 1: Topics From Algebra

Write the expression in the form a+bia + b ia+bi , where a and b are real numbers. (4−2i)2( 4 - 2 i ) ^ { 2 }(4−2i)2

Solve the formula for p. 1g=1w+1p\frac { 1 } { g } = \frac { 1 } { w } + \frac { 1 } { p }g1​=w1​+p1​

Approximate the real-number expression. Express the answer in scientific notation accurate to four significant figures. ∣8.24−4.76×104∣+105\sqrt { \left| 8.24 - 4.76 \times 10 ^ { 4 } \right| + 10 ^ { 5 } }∣8.24−4.76×104∣+105​

Express as a polynomial. 7x5yz6−xy3zxyz\frac { 7 x ^ { 5 } y z ^ { 6 } - x y ^ { 3 } z } { x y z }xyz7x5yz6−xy3z​

Approximate the real-number expression to four decimal places. (−5.05)133( - 5.05 ) ^ { \frac { 13 } { 3 } }(−5.05)313​

Functions and Graphs

Polynomial and Rational Functions

Inverse, Exponential, and Logarithmic Functions

Trigonometric Functions

Analytic Trigonometry

Applications of Trigonometry

Systems of Equations and Inequalities

Sequences, Series, and Probability

Topics From Analytical Geometry

Filters

Write the expression in the form $a + b i$ , where a and b are real numbers. $( 4 - 2 i ) ^ { 2 }$

Solve the formula for p. $\frac { 1 } { g } = \frac { 1 } { w } + \frac { 1 } { p }$

Approximate the real-number expression. Express the answer in scientific notation accurate to four significant figures. $\sqrt { \left| 8.24 - 4.76 \times 10 ^ { 4 } \right| + 10 ^ { 5 } }$

Express as a polynomial. $\frac { 7 x ^ { 5 } y z ^ { 6 } - x y ^ { 3 } z } { x y z }$

Approximate the real-number expression to four decimal places. $( - 5.05 ) ^ { \frac { 13 } { 3 } }$