Question 1

Solve each equation using factoring techniques. Match each equation with the corresponding solution set.
-$x = - 6 , x = - 8$

Accepted Answer

A)  $x ^ { 2 } + 26 x + 165 = 0$ 
B)  $x ^ { 2 } + 14 x + 48 = 0$ 
C)  $x ^ { 2 } + 18 x + 65 = 0$ 
A)  $x ^ { 2 } + 26 x + 165 = 0$ 
B)  $x ^ { 2 } + 14 x + 48 = 0$ 
C)  $x ^ { 2 } + 18 x + 65 = 0$

Question 2

Solve the inequality and express the solution sets in interval notation. $0.08 x + 0.05 ( 5 x ) \geq 33$

Accepted Answer

A)  $( 100 , \infty )$ 
B)  $( - \infty , 100 )$ 
C)  $[ 100 , \infty )$ 
D)  $( - \infty , 100 ]$ 
E)  $[ - 100,100 ]$ 
A)  $( 100 , \infty )$ 
B)  $( - \infty , 100 )$ 
C)  $[ 100 , \infty )$ 
D)  $( - \infty , 100 ]$ 
E)  $[ - 100,100 ]$

Question 3

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 6 } + 1 \right) \div ( x + 1 )$

Accepted Answer

The answer of Use synthetic division to determine the quotient...

Question 4

The area of a triangular sheet of paper is 104 square inches. One side of the triangle is 2 inches more than three times the length of the altitude to that side. Find the length of that side and the altitude to the side. Please enter your answer as two numbers, separated by a comma, without the units.

Accepted Answer

The answer of The area of a triangular sheet of...

Question 5

Solve the compound inequality. Express the solution sets in interval notation. $5 x + 2  - 3$

Accepted Answer

The answer of Solve the compound inequality. Express the solution...

Question 6

Find the indicated product. ( 5 x + 8 ) ( x + 8 )

Accepted Answer

The answer of Find the indicated product. ( 5 x...

Question 7

Factor the polynomial completely. $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$

Accepted Answer

A)  $2 \left( n ^ { 2 } + 1 \right) ( n + 4 )$ 
B)  $2 ( n + 1 ) ( n + 4 )$ 
C)  $2 n \left( n ^ { 2 } + 3 n + 4 \right)$ 
D)  $2 n \left( n ^ { 2 } - 3 n + 4 \right)$ 
E)  not factorable 
A)  $2 \left( n ^ { 2 } + 1 \right) ( n + 4 )$ 
B)  $2 ( n + 1 ) ( n + 4 )$ 
C)  $2 n \left( n ^ { 2 } + 3 n + 4 \right)$ 
D)  $2 n \left( n ^ { 2 } - 3 n + 4 \right)$ 
E)  not factorable

Question 8

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 18 x ^ { 6 } y ^ { 7 } } { - x y }$

Accepted Answer

A)  $- 14 + 16 x y - 18 x ^ { 6 } y ^ { 7 }$ 
B)  $- 14 + 16 x y + 18 x ^ { 5 } y ^ { 6 }$ 
C)  $- 14 - 16 x y + 18 x ^ { 6 } y ^ { 6 }$ 
D)  $- 14 - 16 x y - 18 x ^ { 5 } y ^ { 6 }$ 
E)  $14 - 16 x y - 18 x ^ { 5 } y ^ { 6 }$ 
A)  $- 14 + 16 x y - 18 x ^ { 6 } y ^ { 7 }$ 
B)  $- 14 + 16 x y + 18 x ^ { 5 } y ^ { 6 }$ 
C)  $- 14 - 16 x y + 18 x ^ { 6 } y ^ { 6 }$ 
D)  $- 14 - 16 x y - 18 x ^ { 5 } y ^ { 6 }$ 
E)  $14 - 16 x y - 18 x ^ { 5 } y ^ { 6 }$

Question 9

Solve the following compound inequality using the compact form. Express the solution sets in interval notation. $- 3 \leq \frac { x - 8 } { 6 } \leq 3$

Accepted Answer

The answer of Solve the following compound inequality using the...

Question 10

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )$

Accepted Answer

A)  $Q : x ^ { 2 } + 2 x - 6$
$\mathrm { R } : 0$ 
B)  $\begin{array} { l } 
\text { Q: } x ^ { 2 } - 2 x + 6 \
\text { R: } - 1
\end{array}$ 
C)  $\mathrm { Q } : x ^ { 2 } - 2 x + 6$
$\mathrm { R } : 0$ 
D)  $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 0$ 
E)  $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 1$ 
A)  $Q : x ^ { 2 } + 2 x - 6$
$\mathrm { R } : 0$ 
B)  $\begin{array} { l } 
\text { Q: } x ^ { 2 } - 2 x + 6 \
\text { R: } - 1
\end{array}$ 
C)  $\mathrm { Q } : x ^ { 2 } - 2 x + 6$
$\mathrm { R } : 0$ 
D)  $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 0$ 
E)  $Q : x ^ { 2 } - 2 x - 6$
$\mathrm { R } : 1$

Question 11

The perimeter of a rectangle is 50 inches and its area is 144 square inches. Find the length and width of the rectangle. Width = __________ inches Length = __________ inches Please enter your answer as two numbers, separated by a comma.

Accepted Answer

The answer of The perimeter of a rectangle is 50...

Question 12

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 12 x ^ { 3 } - 5 x ^ { 2 } - 2 x + 1 \right) \div \left( x + \frac { 1 } { 3 } \right)$

Accepted Answer

The answer of Use synthetic division to determine the quotient...

Question 13

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 9 )$

Accepted Answer

The answer of Find the indicated product. \(( x -...

Question 14

If the remainder is 0, then the dividend is factorable.

Accepted Answer

A) True 
 B)False

Question 15

Solve the inequality and express the solution set using interval notation. $x \geq 3.25 + 0.35 x$

Accepted Answer

A)  $( - \infty , 5 ]$ 
B)  $( - \infty , 3 ]$ 
C)  $[ - 5 , \infty )$ 
D)  $[ 3 , \infty )$ 
E)  $[ 5 , \infty )$ 
A)  $( - \infty , 5 ]$ 
B)  $( - \infty , 3 ]$ 
C)  $[ - 5 , \infty )$ 
D)  $[ 3 , \infty )$ 
E)  $[ 5 , \infty )$

Question 16

Solve each equation using factoring techniques. Match each equation with the corresponding solution set.
-$t = \frac { 1 } { 4 } , t = - 7$

Accepted Answer

A)  $4 t ^ { 2 } + 27 t - 7 = 0$ 
B)  $3 t ^ { 2 } - 14 t - 24 = 0$ 
A)  $4 t ^ { 2 } + 27 t - 7 = 0$ 
B)  $3 t ^ { 2 } - 14 t - 24 = 0$

Question 17

Solve the equation. $0.05 x - 3 ( x + 0.5 ) = 0.6$

Accepted Answer

The answer of Solve the equation. \(0.05 x - 3...

Question 18

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $725. How much did she invest at each rate? She invested $__________ at 4%. She invested $__________ at 7%. Please enter your answer as two numbers, separated by a semicolon.

Accepted Answer

The answer of Desa invested a certain amount of money...

Question 19

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement.
-$3 s ^ { 8 } - 8 s ^ { 2 } + 11 s$

Accepted Answer

A)  $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } - 77 s } { 7 s }$ 
B)  $\frac { - 21 s ^ { 9 } + 56 s ^ { 3 } - 77 s ^ { 2 } } { - 7 s }$ 
C)  $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } + 77 s } { - s }$ 
D)  $\frac { 21 s q - 56 s ^ { 2 } q ^ { 2 } - 77 s ^ { 8 } q ^ { 9 } } { - s q }$ 
E)  $\frac { - 21 s ^ { 8 } q ^ { 8 } + 56 s ^ { 9 } q ^ { 8 } - 77 s ^ { 8 } q ^ { 9 } } { 7 s q }$ 
A)  $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } - 77 s } { 7 s }$ 
B)  $\frac { - 21 s ^ { 9 } + 56 s ^ { 3 } - 77 s ^ { 2 } } { - 7 s }$ 
C)  $\frac { 21 s ^ { 8 } - 56 s ^ { 2 } + 77 s } { - s }$ 
D)  $\frac { 21 s q - 56 s ^ { 2 } q ^ { 2 } - 77 s ^ { 8 } q ^ { 9 } } { - s q }$ 
E)  $\frac { - 21 s ^ { 8 } q ^ { 8 } + 56 s ^ { 9 } q ^ { 8 } - 77 s ^ { 8 } q ^ { 9 } } { 7 s q }$

Question 20

Solve the inequality. $| 3 x + 15 | \leq 36$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| 3 x +...

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $x = - 6 , x = - 8$

Solve the inequality and express the solution sets in interval notation. $0.08 x + 0.05 ( 5 x ) \geq 33$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 6 } + 1 \right) \div ( x + 1 )$

Solve the compound inequality. Express the solution sets in interval notation. $5 x + 2 < - 3 \text { or } 5 x + 2 > - 3$

Find the indicated product. ( 5 x + 8 ) ( x + 8 )

Factor the polynomial completely. $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 18 x ^ { 6 } y ^ { 7 } } { - x y }$

Solve the following compound inequality using the compact form. Express the solution sets in interval notation. $- 3 \leq \frac { x - 8 } { 6 } \leq 3$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )$

The perimeter of a rectangle is 50 inches and its area is 144 square inches. Find the length and width of the rectangle. Width = inches Length = inches Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 12 x ^ { 3 } - 5 x ^ { 2 } - 2 x + 1 \right) \div \left( x + \frac { 1 } { 3 } \right)$

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 9 )$

If the remainder is 0, then the dividend is factorable.

Solve the inequality and express the solution set using interval notation. $x \geq 3.25 + 0.35 x$

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $t = \frac { 1 } { 4 } , t = - 7$

Solve the equation. $0.05 x - 3 ( x + 0.5 ) = 0.6$

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $725. How much did she invest at each rate? She invested $ at 4%. She invested $ at 7%. Please enter your answer as two numbers, separated by a semicolon.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $3 s ^ { 8 } - 8 s ^ { 2 } + 11 s$

Solve the inequality. $| 3 x + 15 | \leq 36$ Please enter your answer in interval notation.

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

Rational Expressions

Exponents and Radicals

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 8: A Transition From Elementary Algebra to Intermediate Algebra

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - x=−6,x=−8x = - 6 , x = - 8x=−6,x=−8

Solve the inequality and express the solution sets in interval notation. 0.08x+0.05(5x)≥330.08 x + 0.05 ( 5 x ) \geq 330.08x+0.05(5x)≥33

Use synthetic division to determine the quotient and remainder for the division problem. (x6+1)÷(x+1)\left( x ^ { 6 } + 1 \right) \div ( x + 1 )(x6+1)÷(x+1)

Solve the compound inequality. Express the solution sets in interval notation. 5x+2<−3 or 5x+2>−35 x + 2 < - 3 \text { or } 5 x + 2 > - 35x+2<−3 or 5x+2>−3

Find the indicated product. ( 5 x + 8 ) ( x + 8 )

Factor the polynomial completely. 2n3+6n2+8n2 n ^ { 3 } + 6 n ^ { 2 } + 8 n2n3+6n2+8n

Perform the indicated division of the polynomial by the monomial. 14xy−16x2y2−18x6y7−xy\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 18 x ^ { 6 } y ^ { 7 } } { - x y }−xy14xy−16x2y2−18x6y7​

Solve the following compound inequality using the compact form. Express the solution sets in interval notation. −3≤x−86≤3- 3 \leq \frac { x - 8 } { 6 } \leq 3−3≤6x−8​≤3

Use synthetic division to determine the quotient and remainder for the division problem. (x3−10x−12)÷(x+2)\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )(x3−10x−12)÷(x+2)

The perimeter of a rectangle is 50 inches and its area is 144 square inches. Find the length and width of the rectangle. Width = __________ inches Length = __________ inches Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. (12x3−5x2−2x+1)÷(x+13)\left( 12 x ^ { 3 } - 5 x ^ { 2 } - 2 x + 1 \right) \div \left( x + \frac { 1 } { 3 } \right)(12x3−5x2−2x+1)÷(x+31​)

Find the indicated product. (x−1)(x+5)(x−9)( x - 1 ) ( x + 5 ) ( x - 9 )(x−1)(x+5)(x−9)

If the remainder is 0, then the dividend is factorable.

Solve the inequality and express the solution set using interval notation. x≥3.25+0.35xx \geq 3.25 + 0.35 xx≥3.25+0.35x

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - t=14,t=−7t = \frac { 1 } { 4 } , t = - 7t=41​,t=−7

Solve the equation. 0.05x−3(x+0.5)=0.60.05 x - 3 ( x + 0.5 ) = 0.60.05x−3(x+0.5)=0.6

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $725. How much did she invest at each rate? She invested $__________ at 4%. She invested $__________ at 7%. Please enter your answer as two numbers, separated by a semicolon.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - 3s8−8s2+11s3 s ^ { 8 } - 8 s ^ { 2 } + 11 s3s8−8s2+11s

Solve the inequality. ∣3x+15∣≤36| 3 x + 15 | \leq 36∣3x+15∣≤36 Please enter your answer in interval notation.

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

Rational Expressions

Exponents and Radicals

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 each equation using factoring techniques. Match each equation with the corresponding solution set. - $x = - 6 , x = - 8$

Solve the inequality and express the solution sets in interval notation. $0.08 x + 0.05 ( 5 x ) \geq 33$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 6 } + 1 \right) \div ( x + 1 )$

Solve the compound inequality. Express the solution sets in interval notation. $5 x + 2 < - 3 \text { or } 5 x + 2 > - 3$

Factor the polynomial completely. $2 n ^ { 3 } + 6 n ^ { 2 } + 8 n$

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 18 x ^ { 6 } y ^ { 7 } } { - x y }$

Solve the following compound inequality using the compact form. Express the solution sets in interval notation. $- 3 \leq \frac { x - 8 } { 6 } \leq 3$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } - 10 x - 12 \right) \div ( x + 2 )$

The perimeter of a rectangle is 50 inches and its area is 144 square inches. Find the length and width of the rectangle. Width = inches Length = inches Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 12 x ^ { 3 } - 5 x ^ { 2 } - 2 x + 1 \right) \div \left( x + \frac { 1 } { 3 } \right)$

Find the indicated product. $( x - 1 ) ( x + 5 ) ( x - 9 )$

Solve the inequality and express the solution set using interval notation. $x \geq 3.25 + 0.35 x$

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $t = \frac { 1 } { 4 } , t = - 7$

Solve the equation. $0.05 x - 3 ( x + 0.5 ) = 0.6$

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $725. How much did she invest at each rate? She invested $ at 4%. She invested $ at 7%. Please enter your answer as two numbers, separated by a semicolon.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $3 s ^ { 8 } - 8 s ^ { 2 } + 11 s$

Solve the inequality. $| 3 x + 15 | \leq 36$ Please enter your answer in interval notation.