Question 1

Write an equation that expresses the statement that $A$ is proportional to the square of $x$ and inversely proportional to $t$ and the cube root of $y$ .

Accepted Answer

@#LAT-DLM& , where @#LAT-DLM&

Question 2

Multiply the algebraic expressions using a Special Product Formula and simplify. $( \sqrt { y } + \sqrt { 3 } ) ( \sqrt { y } - \sqrt { 3 } )$

Accepted Answer

The answer of Multiply the algebraic expressions using a Special...

Question 3

Perform the division and simplify. $\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }$

Accepted Answer

The answer of Perform the division and simplify. \(\frac {...

Question 4

A running track has the shape of a rectangle with a semicircle on both ends. If the length of the track is $550$ yards and the length of the side of the rectangle is $125$ yards, what is the radius of the of the semicircular parts?

Accepted Answer

If you form a circle from the

Question 5

Factor the expression completely. Begin by factoring out the lowest power of each common factor. $( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }$

Accepted Answer

The answer of Factor the expression completely. Begin by factoring...

Question 6

Solve the equation for x. $b ^ { 2 } x ^ { 2 } - 4 b x + 3 = 0 \quad ( b \neq 0 )$

Accepted Answer

The answer of Solve the equation for x. \(b ^...

Question 7

A circle has a radius of $4$ cm. By how much should the radius be reduced so that the area is reduced by a third?

Accepted Answer

The area of the original circl

Question 8

Make a table of values and sketch the graph of the equation $x + 3 y + 2 = 0$ Find the $x$ - and $y$ -intercepts and test for symmetry.

Accepted Answer

@#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& @#LAT-DLM& . C

Question 9

Solve the absolute value inequality. Express the answer using interval notation. $| 8 x + 5 | > 15$

Accepted Answer

The answer of Solve the absolute value inequality. Express the...

Question 10

Evaluate $( 512 ) ^ { - \frac { 1 } { 9 } }$

Accepted Answer

A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $16$ 
D)  $\frac { 1 } { 16 }$ 
E)  $256$ 
A)  $\frac { 1 } { 4 }$ 
B)  $\frac { 1 } { 2 }$ 
C)  $16$ 
D)  $\frac { 1 } { 16 }$ 
E)  $256$

Question 11

Express the value (in cents) of the change in a purse that contains half as many dimes as pennies, four more nickels than dimes, and as many quarters as dimes and pennies combined, if the number of pennies in the purse is $p$ .

Accepted Answer

A)  $46 p + 20$ 
B)  $27 p - 13$ 
C)  $100 p - 81$ 
D)  $32 p - 14$ 
E)  $107 p - 27$ 
A)  $46 p + 20$ 
B)  $27 p - 13$ 
C)  $100 p - 81$ 
D)  $32 p - 14$ 
E)  $107 p - 27$

Question 12

Find all real solutions of the equation. $7 ( x - 1 ) ^ { 3 } - 2401 = 0$

Accepted Answer

A)  No real solution 
B)  $- 8$ 
C)  $8$ 
D)  $\pm 8$ 
E)  $\pm 7$ 
A)  No real solution 
B)  $- 8$ 
C)  $8$ 
D)  $\pm 8$ 
E)  $\pm 7$

Question 13

Perform the indicated operations and simplify. $\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }$

Accepted Answer

A)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { 3 x } { y ^ { 4 } } + \frac { 1 } { y ^ { 6 } }$ 
B)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { x } { y ^ { 2 } } + \frac { 1 } { y ^ { 6 } }$ 
C)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 3 x ^ { 2 } } { y ^ { 4 } } + \frac { 3 } { y ^ { 3 } }$ 
D)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 1 } { y ^ { 6 } }$ 
E)  $x ^ { 3 } + \frac { 1 } { y ^ { 6 } }$ 
A)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { 3 x } { y ^ { 4 } } + \frac { 1 } { y ^ { 6 } }$ 
B)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y ^ { 2 } } + \frac { x } { y ^ { 2 } } + \frac { 1 } { y ^ { 6 } }$ 
C)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 3 x ^ { 2 } } { y ^ { 4 } } + \frac { 3 } { y ^ { 3 } }$ 
D)  $x ^ { 3 } + \frac { 3 x ^ { 2 } } { y } + \frac { 1 } { y ^ { 6 } }$ 
E)  $x ^ { 3 } + \frac { 1 } { y ^ { 6 } }$

Question 14

Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$

Accepted Answer

A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { - 9 } { 4 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  $1$ 
A)  $\frac { 9 } { 4 }$ 
B)  $\frac { 4 } { 9 }$ 
C)  $\frac { - 9 } { 4 }$ 
D)  $\frac { 1 } { 4 }$ 
E)  $1$

Question 15

Write an equation that expresses the statement.
J is proportional to s and inversely proportional to t.

Accepted Answer

The answer of Write an equation that expresses the statement.
J...

Question 16

Solve the equation. $x ^ { 2 } + 4 x - 4 = 0$

Accepted Answer

A)  $x = - 2 \pm 2 \sqrt { 2 }$ 
B)  $x = 2 \pm \sqrt { 2 }$ 
C)  $x = 1 \pm \sqrt { 3 }$ 
D)  $x = - 1 \pm \sqrt { 2 }$ 
E)  $x = \pm 2 \sqrt { 2 }$ 
A)  $x = - 2 \pm 2 \sqrt { 2 }$ 
B)  $x = 2 \pm \sqrt { 2 }$ 
C)  $x = 1 \pm \sqrt { 3 }$ 
D)  $x = - 1 \pm \sqrt { 2 }$ 
E)  $x = \pm 2 \sqrt { 2 }$

Question 17

Express the repeating decimal as a fraction. $1.1 \overline { 35 }$

Accepted Answer

The answer of Express the repeating decimal as a fraction....

Question 18

Perform the indicated operations. $\frac { \frac { 2 } { 3 } + \frac { 1 } { 2 } } { \frac { 1 } { 10 } + \frac { 3 } { 5 } }$

Accepted Answer

The answer of Perform the indicated operations. \(\frac { \frac...

Question 19

Find the solution set for the nonlinear inequality $4 x ^ { 2 } \leq 256$ .

Accepted Answer

A)  $[ - 8,8 ]$ 
B)  $[ - 16,16 ]$ 
C)  $[ - 4,4 ]$ 
D)  $( - \infty , - 4 ] \cup [ 4 , \infty )$ 
E)  $\left[ - \frac { 1 } { 8 } , \frac { 1 } { 8 } \right]$ 
A)  $[ - 8,8 ]$ 
B)  $[ - 16,16 ]$ 
C)  $[ - 4,4 ]$ 
D)  $( - \infty , - 4 ] \cup [ 4 , \infty )$ 
E)  $\left[ - \frac { 1 } { 8 } , \frac { 1 } { 8 } \right]$

Question 20

Simplify the expression and eliminate any negative exponents(s).
Assume that all letters denote positive numbers. $\sqrt [ 3 ] { z ^ { 2 } s } \sqrt [ 3 ] { 64 r ^ { 4 } s ^ { 2 } }$

Accepted Answer

The answer of Simplify the expression and eliminate any negative...

Write an equation that expresses the statement that $A$ is proportional to the square of $x$ and inversely proportional to $t$ and the cube root of $y$ .

Multiply the algebraic expressions using a Special Product Formula and simplify. $( \sqrt { y } + \sqrt { 3 } ) ( \sqrt { y } - \sqrt { 3 } )$

Perform the division and simplify. $\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }$

A running track has the shape of a rectangle with a semicircle on both ends. If the length of the track is $550$ yards and the length of the side of the rectangle is $125$ yards, what is the radius of the of the semicircular parts?

Factor the expression completely. Begin by factoring out the lowest power of each common factor. $( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }$

Solve the equation for x. $b ^ { 2 } x ^ { 2 } - 4 b x + 3 = 0 \quad ( b \neq 0 )$

A circle has a radius of $4$ cm. By how much should the radius be reduced so that the area is reduced by a third?

Make a table of values and sketch the graph of the equation $x + 3 y + 2 = 0$ Find the $x$ - and $y$ -intercepts and test for symmetry.

Solve the absolute value inequality. Express the answer using interval notation. $| 8 x + 5 | > 15$

Evaluate $( 512 ) ^ { - \frac { 1 } { 9 } }$

Express the value (in cents) of the change in a purse that contains half as many dimes as pennies, four more nickels than dimes, and as many quarters as dimes and pennies combined, if the number of pennies in the purse is $p$ .

Find all real solutions of the equation. $7 ( x - 1 ) ^ { 3 } - 2401 = 0$

Perform the indicated operations and simplify. $\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }$

Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$

Write an equation that expresses the statement. J is proportional to s and inversely proportional to t.

Solve the equation. $x ^ { 2 } + 4 x - 4 = 0$

Express the repeating decimal as a fraction. $1.1 \overline { 35 }$

Perform the indicated operations. $\frac { \frac { 2 } { 3 } + \frac { 1 } { 2 } } { \frac { 1 } { 10 } + \frac { 3 } { 5 } }$

Find the solution set for the nonlinear inequality $4 x ^ { 2 } \leq 256$ .

Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers. $\sqrt [ 3 ] { z ^ { 2 } s } \sqrt [ 3 ] { 64 r ^ { 4 } s ^ { 2 } }$

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Exam 1: Fundamentals

Write an equation that expresses the statement that AAA is proportional to the square of xxx and inversely proportional to ttt and the cube root of yyy .

Multiply the algebraic expressions using a Special Product Formula and simplify. (y+3)(y−3)( \sqrt { y } + \sqrt { 3 } ) ( \sqrt { y } - \sqrt { 3 } )(y​+3​)(y​−3​)

Perform the division and simplify. x+29x2−4÷x2+6x+83x2+13x−10\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }9x2−4x+2​÷3x2+13x−10x2+6x+8​

A running track has the shape of a rectangle with a semicircle on both ends. If the length of the track is 550550550 yards and the length of the side of the rectangle is 125125125 yards, what is the radius of the of the semicircular parts?

Factor the expression completely. Begin by factoring out the lowest power of each common factor. (x−1)5/2−(x−1)3/2( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }(x−1)5/2−(x−1)3/2

Solve the equation for x. b2x2−4bx+3=0(b≠0)b ^ { 2 } x ^ { 2 } - 4 b x + 3 = 0 \quad ( b \neq 0 )b2x2−4bx+3=0(b=0)

A circle has a radius of 444 cm. By how much should the radius be reduced so that the area is reduced by a third?

Make a table of values and sketch the graph of the equation x+3y+2=0x + 3 y + 2 = 0x+3y+2=0 Find the xxx - and yyy -intercepts and test for symmetry.

Solve the absolute value inequality. Express the answer using interval notation. ∣8x+5∣>15| 8 x + 5 | > 15∣8x+5∣>15

Evaluate (512)−19( 512 ) ^ { - \frac { 1 } { 9 } }(512)−91​

Express the value (in cents) of the change in a purse that contains half as many dimes as pennies, four more nickels than dimes, and as many quarters as dimes and pennies combined, if the number of pennies in the purse is ppp .

Find all real solutions of the equation. 7(x−1)3−2401=07 ( x - 1 ) ^ { 3 } - 2401 = 07(x−1)3−2401=0

Perform the indicated operations and simplify. (x+1y2)3\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }(x+y21​)3

Evaluate (−23)−2\left( - \frac { 2 } { 3 } \right) ^ { - 2 }(−32​)−2

Write an equation that expresses the statement. J is proportional to s and inversely proportional to t.

Solve the equation. x2+4x−4=0x ^ { 2 } + 4 x - 4 = 0x2+4x−4=0

Express the repeating decimal as a fraction. 1.135‾1.1 \overline { 35 }1.135

Perform the indicated operations. 23+12110+35\frac { \frac { 2 } { 3 } + \frac { 1 } { 2 } } { \frac { 1 } { 10 } + \frac { 3 } { 5 } }101​+53​32​+21​​

Find the solution set for the nonlinear inequality 4x2≤2564 x ^ { 2 } \leq 2564x2≤256 .

Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers. z2s364r4s23\sqrt [ 3 ] { z ^ { 2 } s } \sqrt [ 3 ] { 64 r ^ { 4 } s ^ { 2 } }3z2s​364r4s2​

Functions

Polynomial and Rational Functions

Exponential and Logarithmic Functions

Trigonometric Functions: Unit Circle Approach

Trigonometric Functions: Right Triangle Approach

Analytic Trigonometry

Polar Coordinates and Parametric Equations

Vectors in Two and Three Dimensions

Systems of Equations and Inequalities

Conic Sections

Sequences and Series

Limits: a Preview of Calculus

Filters

Write an equation that expresses the statement that $A$ is proportional to the square of $x$ and inversely proportional to $t$ and the cube root of $y$ .

Multiply the algebraic expressions using a Special Product Formula and simplify. $( \sqrt { y } + \sqrt { 3 } ) ( \sqrt { y } - \sqrt { 3 } )$

Perform the division and simplify. $\frac { x + 2 } { 9 x ^ { 2 } - 4 } \div \frac { x ^ { 2 } + 6 x + 8 } { 3 x ^ { 2 } + 13 x - 10 }$

A running track has the shape of a rectangle with a semicircle on both ends. If the length of the track is $550$ yards and the length of the side of the rectangle is $125$ yards, what is the radius of the of the semicircular parts?

Factor the expression completely. Begin by factoring out the lowest power of each common factor. $( x - 1 ) ^ { 5 / 2 } - ( x - 1 ) ^ { 3 / 2 }$

Solve the equation for x. $b ^ { 2 } x ^ { 2 } - 4 b x + 3 = 0 \quad ( b \neq 0 )$

A circle has a radius of $4$ cm. By how much should the radius be reduced so that the area is reduced by a third?

Make a table of values and sketch the graph of the equation $x + 3 y + 2 = 0$ Find the $x$ - and $y$ -intercepts and test for symmetry.

Solve the absolute value inequality. Express the answer using interval notation. $| 8 x + 5 | > 15$

Evaluate $( 512 ) ^ { - \frac { 1 } { 9 } }$

Express the value (in cents) of the change in a purse that contains half as many dimes as pennies, four more nickels than dimes, and as many quarters as dimes and pennies combined, if the number of pennies in the purse is $p$ .

Find all real solutions of the equation. $7 ( x - 1 ) ^ { 3 } - 2401 = 0$

Perform the indicated operations and simplify. $\left( x + \frac { 1 } { y ^ { 2 } } \right) ^ { 3 }$

Evaluate $\left( - \frac { 2 } { 3 } \right) ^ { - 2 }$

Solve the equation. $x ^ { 2 } + 4 x - 4 = 0$

Express the repeating decimal as a fraction. $1.1 \overline { 35 }$

Perform the indicated operations. $\frac { \frac { 2 } { 3 } + \frac { 1 } { 2 } } { \frac { 1 } { 10 } + \frac { 3 } { 5 } }$

Find the solution set for the nonlinear inequality $4 x ^ { 2 } \leq 256$ .

Simplify the expression and eliminate any negative exponents(s). Assume that all letters denote positive numbers. $\sqrt [ 3 ] { z ^ { 2 } s } \sqrt [ 3 ] { 64 r ^ { 4 } s ^ { 2 } }$