Question 1

Solve each inequality. Match each inequality with the corresponding answer.
-$( - \infty , 3 ) \cup ( 11 , \infty )$

Accepted Answer

A) $| x - 7 | > 4$ B) $| x + 5 | < 7$ A) $| x - 7 | > 4$ B) $| x + 5 | < 7$

Question 2

Solve the inequality. $| x - 4 | \geq 7$ Please enter your answer in interval notation.

Accepted Answer

The answer of Solve the inequality. \(| x - 4...

Question 3

Sean bought 5 lemons and 3 limes for $3.30. At the same prices, Kim bought 4 lemons and 7 limes for $4.25. Find the price per lemon and the price per lime.

Accepted Answer

A)  $0.65 each for lemons and $0.55 each for limes 
B)  $0.35 each for lemons and $0.45 each for limes 
C)  $0.55 each for lemons and $0.45 each for limes 
D)  $0.45 each for lemons and $0.55 each for limes 
E)  $0.45 each for lemons and $0.35 each for limes 
A)  $0.65 each for lemons and $0.55 each for limes 
B)  $0.35 each for lemons and $0.45 each for limes 
C)  $0.55 each for lemons and $0.45 each for limes 
D)  $0.45 each for lemons and $0.55 each for limes 
E)  $0.45 each for lemons and $0.35 each for limes

Question 4

Find the indicated product. $( 4 x ) \left( - 2 x ^ { 3 } \right) \left( - 5 x ^ { 4 } \right)$

Accepted Answer

A)  $40 x ^ { 7 }$ 
B)  $40 x ^ { 8 }$ 
C)  $- 40 x ^ { 7 }$ 
D)  $40 x ^ { 13 }$ 
E)  $- 40 x ^ { 8 }$ 
A)  $40 x ^ { 7 }$ 
B)  $40 x ^ { 8 }$ 
C)  $- 40 x ^ { 7 }$ 
D)  $40 x ^ { 13 }$ 
E)  $- 40 x ^ { 8 }$

Question 5

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 5 < 3 - x < 5$

Accepted Answer

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

Question 6

A person s intelligence quotient ( I ) is found by dividing mental age ( M ), as indicated by standard tests, by chronological age ( C ) and then multiplying this ratio by 20. The formula $I = \frac { 20 \mathrm { M } } { C }$ can be used. If the I range of a group of 12-year-olds is given by $76 \leq I \leq 189$ , find the range of the mental age of this group.

Accepted Answer

A)  $3.8 \leq M \leq 9.45$ 
B)  $912 \leq M \leq 2268$ 
C)  $76 \leq M \leq 189$ 
D)  $45.6 \leq M \leq 113.4$ 
E)  $91.2 \leq M \leq 226.8$ 
A)  $3.8 \leq M \leq 9.45$ 
B)  $912 \leq M \leq 2268$ 
C)  $76 \leq M \leq 189$ 
D)  $45.6 \leq M \leq 113.4$ 
E)  $91.2 \leq M \leq 226.8$

Question 7

Solve the equation. $\frac { 2 } { 3 } x - \frac { 1 } { 2 } + \frac { 1 } { 4 } x = \frac { 5 } { 8 }$

Accepted Answer

A)  $\left\{ \frac { 25 } { 22 } \right\}$ 
B)  $\left\{ - \frac { 25 } { 22 } \right\}$ 
C)  $\left\{ \frac { 27 } { 22 } \right\}$ 
D)  $\left\{ - \frac { 27 } { 22 } \right\}$ 
E)  $\varnothing$ 
A)  $\left\{ \frac { 25 } { 22 } \right\}$ 
B)  $\left\{ - \frac { 25 } { 22 } \right\}$ 
C)  $\left\{ \frac { 27 } { 22 } \right\}$ 
D)  $\left\{ - \frac { 27 } { 22 } \right\}$ 
E)  $\varnothing$

Question 8

Find the indicated product. ( x + 4)( x $-$ 5)( x $-$ 6)

Accepted Answer

A)  x 3 $-$ 7 x 2 $-$ 14 x + 20 
B)  x 3 $-$ 7 x 2 $-$ 14 x $-$ 30 
C)  x 3 $-$ 7 x 2 + 14 x + 24 
D)  x 3 $-$ 7 x 2 $-$ 14 x + 120 
A)  x 3 $-$ 7 x 2 $-$ 14 x + 20 
B)  x 3 $-$ 7 x 2 $-$ 14 x $-$ 30 
C)  x 3 $-$ 7 x 2 + 14 x + 24 
D)  x 3 $-$ 7 x 2 $-$ 14 x + 120

Question 9

Solve the equation by inspection. | 6 x $-$ 30 | = 0

Accepted Answer

A)  x = $-$ 5 
B)  x = 5 
C)  x = 5, x = $-$ 5 
D)  $\phi$ 
A)  x = $-$ 5 
B)  x = 5 
C)  x = 5, x = $-$ 5 
D)  $\phi$

Question 10

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 10 x + 8 \right) \div ( x - 9 )$

Accepted Answer

A)  Q: $x + 1$
R: 1 
B)  Q: $x - 1$
R: 1 
C)  Q: $x - 1$
$\mathrm { R } : - 1$ 
D)  Q: $x + 1$
$\mathrm { R } : - 1$ 
E)  Q: $x - 1$
R: 0 
A)  Q: $x + 1$
R: 1 
B)  Q: $x - 1$
R: 1 
C)  Q: $x - 1$
$\mathrm { R } : - 1$ 
D)  Q: $x + 1$
$\mathrm { R } : - 1$ 
E)  Q: $x - 1$
R: 0

Question 11

Solve the equation. $- 9 = 11 x + 2$

Accepted Answer

The answer of Solve the equation. \(- 9 = 11...

Question 12

Compound statements that use "or" are called disjunctions.

Accepted Answer

A) True 
 B)False

Question 13

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement.
-$- 21 + 56 s q + 77 s s ^ { 7 } q ^ { 8 }$

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 14

The ratio of male students to female students at a certain university is 5 to 7. If there is a total of 16,800 students, find the number of male and the number of female students. The number of male students is __________. The number of female students is __________. Please enter your answer as two numbers, separated by a semicolon.

Accepted Answer

The answer of The ratio of male students to female...

Question 15

Solve each inequality. Match each inequality with the corresponding answer.
-$( 6,12 )$

Accepted Answer

A)  $| x - 9 |  4$ 
A)  $| x - 9 |  4$

Question 16

Solve the equation using factoring techniques. ( x + 5 ) 2 $-$ 16 = 0

Accepted Answer

A)  x = -1, x = 9 
B)  x = -1, x = -9 
C)  x = 1, x = 9 
A)  x = -1, x = 9 
B)  x = -1, x = -9 
C)  x = 1, x = 9

Question 17

Solve the equation. $0.05 x + 0.21 ( x + 200 ) = 120$

Accepted Answer

The answer of Solve the equation. \(0.05 x + 0.21...

Question 18

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

Accepted Answer

A)  Q: $7 a - 19$
R: $4 a - 6$ 
B)  $Q : 7 a - 19$
R: $4 a + 6$ 
C)  $Q : 4 a + 6$
$\mathrm { R } : 7 a - 19$ 
D)  $Q : 7 a + 19$
R: $4 a - 6$ 
E)  $Q : 4 a - 6$
$\mathrm { R } : 7 a + 19$ 
A)  Q: $7 a - 19$
R: $4 a - 6$ 
B)  $Q : 7 a - 19$
R: $4 a + 6$ 
C)  $Q : 4 a + 6$
$\mathrm { R } : 7 a - 19$ 
D)  $Q : 7 a + 19$
R: $4 a - 6$ 
E)  $Q : 4 a - 6$
$\mathrm { R } : 7 a + 19$

Question 19

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 22 x ^ { 8 } y ^ { 9 } } { - x y }$

Accepted Answer

The answer of Perform the indicated division of the polynomial...

Question 20

Solve the system of equations. $\left( \begin{array} { c } 
x - 2 y = 8 \
3 x + 7 y = - 15
\end{array} \right)$

Accepted Answer

A)  $( - 2,5 )$ 
B)  $( 2 , - 4 )$ 
C)  $( 2,3 )$ 
D)  $( 2 , - 3 )$ 
E)  $( 2 , - 5 )$ 
A)  $( - 2,5 )$ 
B)  $( 2 , - 4 )$ 
C)  $( 2,3 )$ 
D)  $( 2 , - 3 )$ 
E)  $( 2 , - 5 )$

Solve each inequality. Match each inequality with the corresponding answer. - $( - \infty , 3 ) \cup ( 11 , \infty )$

Solve the inequality. $| x - 4 | \geq 7$ Please enter your answer in interval notation.

Sean bought 5 lemons and 3 limes for $3.30. At the same prices, Kim bought 4 lemons and 7 limes for $4.25. Find the price per lemon and the price per lime.

Find the indicated product. $( 4 x ) \left( - 2 x ^ { 3 } \right) \left( - 5 x ^ { 4 } \right)$

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 5 < 3 - x < 5$

Solve the equation. $\frac { 2 } { 3 } x - \frac { 1 } { 2 } + \frac { 1 } { 4 } x = \frac { 5 } { 8 }$

Find the indicated product. ( x + 4)( x $-$ 5)( x $-$ 6)

Solve the equation by inspection. | 6 x $-$ 30 | = 0

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 10 x + 8 \right) \div ( x - 9 )$

Solve the equation. $- 9 = 11 x + 2$

Compound statements that use "or" are called disjunctions.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $- 21 + 56 s q + 77 s s ^ { 7 } q ^ { 8 }$

Solve each inequality. Match each inequality with the corresponding answer. - $( 6,12 )$

Solve the equation using factoring techniques. ( x + 5 ) 2 $-$ 16 = 0

Solve the equation. $0.05 x + 0.21 ( x + 200 ) = 120$

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

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 22 x ^ { 8 } y ^ { 9 } } { - x y }$

Solve the system of equations. $\left( \begin{array} { c } x - 2 y = 8 \\3 x + 7 y = - 15\end{array} \right)$

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 inequality. Match each inequality with the corresponding answer. - (−∞,3)∪(11,∞)( - \infty , 3 ) \cup ( 11 , \infty )(−∞,3)∪(11,∞)

Solve the inequality. ∣x−4∣≥7| x - 4 | \geq 7∣x−4∣≥7 Please enter your answer in interval notation.

Sean bought 5 lemons and 3 limes for $3.30. At the same prices, Kim bought 4 lemons and 7 limes for $4.25. Find the price per lemon and the price per lime.

Find the indicated product. (4x)(−2x3)(−5x4)( 4 x ) \left( - 2 x ^ { 3 } \right) \left( - 5 x ^ { 4 } \right)(4x)(−2x3)(−5x4)

Solve the compound inequality using the compact form. Express the solution sets in interval notation. −5<3−x<5- 5 < 3 - x < 5−5<3−x<5

Solve the equation. 23x−12+14x=58\frac { 2 } { 3 } x - \frac { 1 } { 2 } + \frac { 1 } { 4 } x = \frac { 5 } { 8 }32​x−21​+41​x=85​

Find the indicated product. ( x + 4)( x −-− 5)( x −-− 6)

Solve the equation by inspection. | 6 x −-− 30 | = 0

Use synthetic division to determine the quotient and remainder for the division problem. (x2−10x+8)÷(x−9)\left( x ^ { 2 } - 10 x + 8 \right) \div ( x - 9 )(x2−10x+8)÷(x−9)

Solve the equation. −9=11x+2- 9 = 11 x + 2−9=11x+2

Compound statements that use "or" are called disjunctions.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - −21+56sq+77ss7q8- 21 + 56 s q + 77 s s ^ { 7 } q ^ { 8 }−21+56sq+77ss7q8

Solve each inequality. Match each inequality with the corresponding answer. - (6,12)( 6,12 )(6,12)

Solve the equation using factoring techniques. ( x + 5 ) 2 −-− 16 = 0

Solve the equation. 0.05x+0.21(x+200)=1200.05 x + 0.21 ( x + 200 ) = 1200.05x+0.21(x+200)=120

Find the quotient and remainder for the division problem. (4a3−2a2+7a−1)÷(a2−2a+3)\left( 4 a ^ { 3 } - 2 a ^ { 2 } + 7 a - 1 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)(4a3−2a2+7a−1)÷(a2−2a+3)

Perform the indicated division of the polynomial by the monomial. 14xy−16x2y2−22x8y9−xy\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 22 x ^ { 8 } y ^ { 9 } } { - x y }−xy14xy−16x2y2−22x8y9​

Solve the system of equations. (x−2y=83x+7y=−15)\left( \begin{array} { c } x - 2 y = 8 \\3 x + 7 y = - 15\end{array} \right)(x−2y=83x+7y=−15​)

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 inequality. Match each inequality with the corresponding answer. - $( - \infty , 3 ) \cup ( 11 , \infty )$

Solve the inequality. $| x - 4 | \geq 7$ Please enter your answer in interval notation.

Find the indicated product. $( 4 x ) \left( - 2 x ^ { 3 } \right) \left( - 5 x ^ { 4 } \right)$

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 5 < 3 - x < 5$

Solve the equation. $\frac { 2 } { 3 } x - \frac { 1 } { 2 } + \frac { 1 } { 4 } x = \frac { 5 } { 8 }$

Find the indicated product. ( x + 4)( x $-$ 5)( x $-$ 6)

Solve the equation by inspection. | 6 x $-$ 30 | = 0

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 10 x + 8 \right) \div ( x - 9 )$

Solve the equation. $- 9 = 11 x + 2$

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $- 21 + 56 s q + 77 s s ^ { 7 } q ^ { 8 }$

Solve each inequality. Match each inequality with the corresponding answer. - $( 6,12 )$

Solve the equation using factoring techniques. ( x + 5 ) 2 $-$ 16 = 0

Solve the equation. $0.05 x + 0.21 ( x + 200 ) = 120$

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

Perform the indicated division of the polynomial by the monomial. $\frac { 14 x y - 16 x ^ { 2 } y ^ { 2 } - 22 x ^ { 8 } y ^ { 9 } } { - x y }$

Solve the system of equations. $\left( \begin{array} { c } x - 2 y = 8 \\3 x + 7 y = - 15\end{array} \right)$