Question 1

Find the LCD. Do not combine fractions.
-$$\frac { 1 } { x ^ { 2 } + 8 x + 16 } , \frac { 1 } { x ^ { 2 } + 4 x }$$

Accepted Answer

A)  $( x + 4 ) ^ { 2 }$ 
B)  $x ( x + 1 ) ( x + 4 )$ 
C)  $x ( x + 4 )$ 
D)  $x ( x + 4 ) ^ { 2 }$ 
A)  $( x + 4 ) ^ { 2 }$ 
B)  $x ( x + 1 ) ( x + 4 )$ 
C)  $x ( x + 4 )$ 
D)  $x ( x + 4 ) ^ { 2 }$

Question 2

Perform the operation indicated. Simplify.
-$$\frac { 2 x } { x - 5 } - \frac { x + 2 } { x - 5 }$$

Accepted Answer

A)  $\frac { x + 2 } { x - 5 }$ 
B)  $\frac { 3 x + 2 } { x - 5 }$ 
C)  $\frac { 3 x - 2 } { x - 5 }$ 
D)  $\frac { x - 2 } { x - 5 }$ 
A)  $\frac { x + 2 } { x - 5 }$ 
B)  $\frac { 3 x + 2 } { x - 5 }$ 
C)  $\frac { 3 x - 2 } { x - 5 }$ 
D)  $\frac { x - 2 } { x - 5 }$

Question 3

Find the LCD. Do not combine fractions.
-$\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }$

Accepted Answer

A)  $40 \mathrm { x } ^ { 4 } \mathrm { y } ^ { 3 }$ 
B)  $40 x y$ 
C)  $40 x ^ { 4 } y ^ { 2 }$ 
D)  $40 \mathrm { xy } ^ { 3 }$ 
A)  $40 \mathrm { x } ^ { 4 } \mathrm { y } ^ { 3 }$ 
B)  $40 x y$ 
C)  $40 x ^ { 4 } y ^ { 2 }$ 
D)  $40 \mathrm { xy } ^ { 3 }$

Question 4

Perform the operation indicated. Simplify.
-$$\frac { 4 y } { x ^ { 2 } - y ^ { 2 } } + \frac { 4 x } { y ^ { 2 } - x ^ { 2 } }$$

Accepted Answer

A)  $\frac { 4 } { x - y }$ 
B)  $\frac { y - x } { x ^ { 2 } - y ^ { 2 } }$ 
C)  $- \frac { 4 } { x + y }$ 
D)  $\frac { 4 } { x + y }$ 
A)  $\frac { 4 } { x - y }$ 
B)  $\frac { y - x } { x ^ { 2 } - y ^ { 2 } }$ 
C)  $- \frac { 4 } { x + y }$ 
D)  $\frac { 4 } { x + y }$

Question 5

Perform the operation indicated.
-$$\frac { x ^ { 2 } + 13 x + 42 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } + 9 x + 18 }$$

Accepted Answer

A)  $\frac { x + 6 } { x + 2 }$ 
B)  $\frac { x + 2 } { x + 6 }$ 
C)  $\frac { 1 } { x + 3 }$ 
D)  1 
A)  $\frac { x + 6 } { x + 2 }$ 
B)  $\frac { x + 2 } { x + 6 }$ 
C)  $\frac { 1 } { x + 3 }$ 
D)  1

Question 6

Perform the operation indicated. Simplify.
-5x + 6 x - 1 2x - 5 + 2x - 5

Accepted Answer

A) 4x + 5 
B) 6x + 5 
C) 4x + 7 
D) 6x + 7 
A) 4x + 5 
B) 6x + 5 
C) 4x + 7 
D) 6x + 7

Find the LCD. Do not combine fractions. - $\frac { 1 } { x ^ { 2 } + 8 x + 16 } , \frac { 1 } { x ^ { 2 } + 4 x }$

Perform the operation indicated. Simplify. - $\frac { 2 x } { x - 5 } - \frac { x + 2 } { x - 5 }$

Find the LCD. Do not combine fractions. - $\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }$

Perform the operation indicated. Simplify. - $\frac { 4 y } { x ^ { 2 } - y ^ { 2 } } + \frac { 4 x } { y ^ { 2 } - x ^ { 2 } }$

Perform the operation indicated. - $\frac { x ^ { 2 } + 13 x + 42 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } + 9 x + 18 }$

Perform the operation indicated. Simplify. -5x + 6 x - 1 2x - 5 + 2x - 5

Real Numbers and Variables

Equations, Inequalities, and Applications

Graphing and Functions

Systems of Linear Equations and Inequalities

Exponents and Polynomials

Factoring

Rational Exponents and Radicals

Quadratic Equations and Inequalities

The Conic Sections

Additional Properties of Functions

Logarithmic and Exponential Functions

Filters

Exam 7: Rational Expressions and Equations

Find the LCD. Do not combine fractions. - 1x2+8x+16,1x2+4x\frac { 1 } { x ^ { 2 } + 8 x + 16 } , \frac { 1 } { x ^ { 2 } + 4 x }x2+8x+161​,x2+4x1​

Perform the operation indicated. Simplify. - 2xx−5−x+2x−5\frac { 2 x } { x - 5 } - \frac { x + 2 } { x - 5 }x−52x​−x−5x+2​

Find the LCD. Do not combine fractions. - 810xy3,28x4y2\frac { 8 } { 10 x y ^ { 3 } } , \frac { 2 } { 8 x ^ { 4 } y ^ { 2 } }10xy38​,8x4y22​

Perform the operation indicated. Simplify. - 4yx2−y2+4xy2−x2\frac { 4 y } { x ^ { 2 } - y ^ { 2 } } + \frac { 4 x } { y ^ { 2 } - x ^ { 2 } }x2−y24y​+y2−x24x​

Perform the operation indicated. - x2+13x+42x2+9x+14⋅x2+5x+6x2+9x+18\frac { x ^ { 2 } + 13 x + 42 } { x ^ { 2 } + 9 x + 14 } \cdot \frac { x ^ { 2 } + 5 x + 6 } { x ^ { 2 } + 9 x + 18 }x2+9x+14x2+13x+42​⋅x2+9x+18x2+5x+6​