Question 1

Equivalent equations are equations that have the same solution set.

Accepted Answer

A) True 
 B)False

Question 2

Solve the system of equations. $\left( \begin{array} { l } 
3 x + 4 y = - 24 \
5 x - 7 y = - 40
\end{array} \right)$

Accepted Answer

A)  $( - 9,0 )$ 
B)  $( 0 , - 8 )$ 
C)  $( 9,0 )$ 
D)  $( - 10,0 )$ 
E)  $( - 8,0 )$ 
A)  $( - 9,0 )$ 
B)  $( 0 , - 8 )$ 
C)  $( 9,0 )$ 
D)  $( - 10,0 )$ 
E)  $( - 8,0 )$

Question 3

Factor the polynomial completely. $9 x ^ { 2 } + 16$

Accepted Answer

A)  $( 3 x + 1 ) ( 3 x - 16 )$ 
B)  $\left( 3 x ^ { 2 } + 4 \right) ( 3 x - 4 )$ 
C)  $( 9 x + 4 ) ( x - 4 )$ 
D)  $( 3 x + 4 ) ( 3 x - 4 )$ 
E)  not factorable 
A)  $( 3 x + 1 ) ( 3 x - 16 )$ 
B)  $\left( 3 x ^ { 2 } + 4 \right) ( 3 x - 4 )$ 
C)  $( 9 x + 4 ) ( x - 4 )$ 
D)  $( 3 x + 4 ) ( 3 x - 4 )$ 
E)  not factorable

Question 4

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } + 2 x ^ { 2 } - 23 x - 40 \right) \div ( x + 5 )$

Accepted Answer

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

Question 5

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 4 } { 5 } = - 4$

Accepted Answer

The answer of Solve the equation. \(\frac { 2 x...

Question 6

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 2 } { 5 } = - 4$

Accepted Answer

A)  $\{ - 51 \}$ 
B)  $\{ - 47 \}$ 
C)  $\{ - 49 \}$ 
D)  $\{ 49 \}$ 
E)  $\varnothing$ 
A)  $\{ - 51 \}$ 
B)  $\{ - 47 \}$ 
C)  $\{ - 49 \}$ 
D)  $\{ 49 \}$ 
E)  $\varnothing$

Question 7

Find the indicated product. (4 x $-$ 5) 3

Accepted Answer

A)  64 x 3 $-$ 240 x 2 + 300 x $-$ 125 
B)  64 x 3 $-$ 300 x 2 + 240 x $-$ 125 
C)  64 x 3 + 240 x 2 $-$ 300 x + 125 
D)  64 x 3 $-$ 240 x 2 + 300 x $-$ 5 
A)  64 x 3 $-$ 240 x 2 + 300 x $-$ 125 
B)  64 x 3 $-$ 300 x 2 + 240 x $-$ 125 
C)  64 x 3 + 240 x 2 $-$ 300 x + 125 
D)  64 x 3 $-$ 240 x 2 + 300 x $-$ 5

Question 8

Factor the polynomial completely. Indicate if it is not factorable using integers. $x ^ { 3 } - 27$

Accepted Answer

The answer of Factor the polynomial completely. Indicate if it...

Question 9

The temperatures for a 24-hour period ranged between 13 o F and 5 o F, inclusive. What was the range in Celsius degrees? ( Use $F = \frac { 9 } { 5 } C + 32$ ). Please enter your answer in interval notation.

Accepted Answer

The answer of The temperatures for a 24-hour period ranged...

Question 10

Find the quotient. $\frac { 6 x ^ { 5 } y ^ { 6 } } { 3 x y ^ { 2 } }$

Accepted Answer

The answer of Find the quotient. \(\frac { 6 x...

Question 11

Solve the equation. $- 4 ( 3 x - 1 ) - 3 ( 4 x + 3 ) = - 5 ( 4 x - 6 )$

Accepted Answer

The answer of Solve the equation. \(- 4 ( 3...

Question 12

The degree of a polynomial is the degree of the term with the highest degree in the polynomial.

Accepted Answer

A) True 
 B)False

Question 13

Marsha bowled 132 and 177 in her first two games. What must she bowl in the third game to have an average of at least 164 for the three games? Please enter your answer as an inequality. Use " x " for decision variable.

Accepted Answer

The answer of Marsha bowled 132 and 177 in her...

Question 14

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $835. How much did she invest at each rate?

Accepted Answer

A)  $7,000 at 4% and $9,500 at 7% 
B)  $8,500 at 4% and $6,000 at 7% 
C)  $6,000 at 4% and $8,500 at 7% 
D)  $5,000 at 4% and $7,500 at 7% 
E)  $8,000 at 4% and $10,500 at 7% 
A)  $7,000 at 4% and $9,500 at 7% 
B)  $8,500 at 4% and $6,000 at 7% 
C)  $6,000 at 4% and $8,500 at 7% 
D)  $5,000 at 4% and $7,500 at 7% 
E)  $8,000 at 4% and $10,500 at 7%

Question 15

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 x + 4 y + a x + a y$

Accepted Answer

The answer of Factor the polynomial completely. Indicate if it...

Question 16

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)$

Accepted Answer

A)  $x ^ { k ^ { 2 } } - 64$ 
B)  $x ^ { 2 k } - 64$ 
C)  $x ^ { 2 k } + 64$ 
D)  $x ^ { 2 ^ { k } } - 64$ 
E)  $x ^ { k ^ { 2 } } + 64$ 
A)  $x ^ { k ^ { 2 } } - 64$ 
B)  $x ^ { 2 k } - 64$ 
C)  $x ^ { 2 k } + 64$ 
D)  $x ^ { 2 ^ { k } } - 64$ 
E)  $x ^ { k ^ { 2 } } + 64$

Question 17

Find the quotient and remainder for the division problem. $\left( 3 t ^ { 3 } + 7 t ^ { 2 } - 4 t - 2 \right) \div ( 3 t + 1 )$

Accepted Answer

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

Question 18

Solve the inequality. $| x + 4 | \leq 10$

Accepted Answer

A)  $[ 4,10 ]$ 
B)  $( - \infty , - 14 ] \cup [ 6 , \infty )$ 
C)  $-$ 14, 6 
D)  $\phi$ 
A)  $[ 4,10 ]$ 
B)  $( - \infty , - 14 ] \cup [ 6 , \infty )$ 
C)  $-$ 14, 6 
D)  $\phi$

Question 19

Factor the polynomial completely. Indicate if it is not factorable using integers. $1 - 16 n ^ { 2 }$

Accepted Answer

The answer of Factor the polynomial completely. Indicate if it...

Question 20

Solve the equation using factoring techniques. 5 w 3 $-$ 60 w 2 + 175 w = 0 Please enter your answer as three numbers, separated by commas.

Accepted Answer

The answer of Solve the equation using factoring techniques. 5...

Equivalent equations are equations that have the same solution set.

Solve the system of equations. $\left( \begin{array} { l } 3 x + 4 y = - 24 \\5 x - 7 y = - 40\end{array} \right)$

Factor the polynomial completely. $9 x ^ { 2 } + 16$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } + 2 x ^ { 2 } - 23 x - 40 \right) \div ( x + 5 )$

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 4 } { 5 } = - 4$

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 2 } { 5 } = - 4$

Find the indicated product. (4 x $-$ 5) 3

Factor the polynomial completely. Indicate if it is not factorable using integers. $x ^ { 3 } - 27$

The temperatures for a 24-hour period ranged between 13 o F and 5 o F, inclusive. What was the range in Celsius degrees? ( Use $F = \frac { 9 } { 5 } C + 32$ ). Please enter your answer in interval notation.

Find the quotient. $\frac { 6 x ^ { 5 } y ^ { 6 } } { 3 x y ^ { 2 } }$

Solve the equation. $- 4 ( 3 x - 1 ) - 3 ( 4 x + 3 ) = - 5 ( 4 x - 6 )$

The degree of a polynomial is the degree of the term with the highest degree in the polynomial.

Marsha bowled 132 and 177 in her first two games. What must she bowl in the third game to have an average of at least 164 for the three games? Please enter your answer as an inequality. Use " x " for decision variable.

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $835. How much did she invest at each rate?

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 x + 4 y + a x + a y$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)$

Find the quotient and remainder for the division problem. $\left( 3 t ^ { 3 } + 7 t ^ { 2 } - 4 t - 2 \right) \div ( 3 t + 1 )$

Solve the inequality. $| x + 4 | \leq 10$

Factor the polynomial completely. Indicate if it is not factorable using integers. $1 - 16 n ^ { 2 }$

Solve the equation using factoring techniques. 5 w 3 $-$ 60 w 2 + 175 w = 0 Please enter your answer as three numbers, separated by commas.

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

Equivalent equations are equations that have the same solution set.

Solve the system of equations. (3x+4y=−245x−7y=−40)\left( \begin{array} { l } 3 x + 4 y = - 24 \\5 x - 7 y = - 40\end{array} \right)(3x+4y=−245x−7y=−40​)

Factor the polynomial completely. 9x2+169 x ^ { 2 } + 169x2+16

Use synthetic division to determine the quotient and remainder for the division problem. (x3+2x2−23x−40)÷(x+5)\left( x ^ { 3 } + 2 x ^ { 2 } - 23 x - 40 \right) \div ( x + 5 )(x3+2x2−23x−40)÷(x+5)

Solve the equation. 2x−13−3x+45=−4\frac { 2 x - 1 } { 3 } - \frac { 3 x + 4 } { 5 } = - 432x−1​−53x+4​=−4

Solve the equation. 2x−13−3x+25=−4\frac { 2 x - 1 } { 3 } - \frac { 3 x + 2 } { 5 } = - 432x−1​−53x+2​=−4

Find the indicated product. (4 x −-− 5) 3

Factor the polynomial completely. Indicate if it is not factorable using integers. x3−27x ^ { 3 } - 27x3−27

The temperatures for a 24-hour period ranged between 13 o F and 5 o F, inclusive. What was the range in Celsius degrees? ( Use F=95C+32F = \frac { 9 } { 5 } C + 32F=59​C+32 ). Please enter your answer in interval notation.

Find the quotient. 6x5y63xy2\frac { 6 x ^ { 5 } y ^ { 6 } } { 3 x y ^ { 2 } }3xy26x5y6​

Solve the equation. −4(3x−1)−3(4x+3)=−5(4x−6)- 4 ( 3 x - 1 ) - 3 ( 4 x + 3 ) = - 5 ( 4 x - 6 )−4(3x−1)−3(4x+3)=−5(4x−6)

The degree of a polynomial is the degree of the term with the highest degree in the polynomial.

Marsha bowled 132 and 177 in her first two games. What must she bowl in the third game to have an average of at least 164 for the three games? Please enter your answer as an inequality. Use " x " for decision variable.

Desa invested a certain amount of money at 4% interest and $2,500 more than that amount at 7%. Her total yearly interest was $835. How much did she invest at each rate?

Factor the polynomial completely. Indicate if it is not factorable using integers. 4x+4y+ax+ay4 x + 4 y + a x + a y4x+4y+ax+ay

Find the indicated product. Assume the variable that appears as exponent represents positive integer. (xk−8)(xk+8)\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)(xk−8)(xk+8)

Find the quotient and remainder for the division problem. (3t3+7t2−4t−2)÷(3t+1)\left( 3 t ^ { 3 } + 7 t ^ { 2 } - 4 t - 2 \right) \div ( 3 t + 1 )(3t3+7t2−4t−2)÷(3t+1)

Solve the inequality. ∣x+4∣≤10| x + 4 | \leq 10∣x+4∣≤10

Factor the polynomial completely. Indicate if it is not factorable using integers. 1−16n21 - 16 n ^ { 2 }1−16n2

Solve the equation using factoring techniques. 5 w 3 −-− 60 w 2 + 175 w = 0 Please enter your answer as three numbers, separated by commas.

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 the system of equations. $\left( \begin{array} { l } 3 x + 4 y = - 24 \\5 x - 7 y = - 40\end{array} \right)$

Factor the polynomial completely. $9 x ^ { 2 } + 16$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 3 } + 2 x ^ { 2 } - 23 x - 40 \right) \div ( x + 5 )$

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 4 } { 5 } = - 4$

Solve the equation. $\frac { 2 x - 1 } { 3 } - \frac { 3 x + 2 } { 5 } = - 4$

Find the indicated product. (4 x $-$ 5) 3

Factor the polynomial completely. Indicate if it is not factorable using integers. $x ^ { 3 } - 27$

The temperatures for a 24-hour period ranged between 13 o F and 5 o F, inclusive. What was the range in Celsius degrees? ( Use $F = \frac { 9 } { 5 } C + 32$ ). Please enter your answer in interval notation.

Find the quotient. $\frac { 6 x ^ { 5 } y ^ { 6 } } { 3 x y ^ { 2 } }$

Solve the equation. $- 4 ( 3 x - 1 ) - 3 ( 4 x + 3 ) = - 5 ( 4 x - 6 )$

Factor the polynomial completely. Indicate if it is not factorable using integers. $4 x + 4 y + a x + a y$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( x ^ { k } - 8 \right) \left( x ^ { k } + 8 \right)$

Find the quotient and remainder for the division problem. $\left( 3 t ^ { 3 } + 7 t ^ { 2 } - 4 t - 2 \right) \div ( 3 t + 1 )$

Solve the inequality. $| x + 4 | \leq 10$

Factor the polynomial completely. Indicate if it is not factorable using integers. $1 - 16 n ^ { 2 }$

Solve the equation using factoring techniques. 5 w 3 $-$ 60 w 2 + 175 w = 0 Please enter your answer as three numbers, separated by commas.