Solve the equation using factoring techniques. x 2 + 29 x + 180 = 0

A) x = 9, x = 20 B) x = -9, x = -20 C) x = 9, x = -20 A) x = 9, x = 20 B) x = -9, x = -20 C) x = 9, x = -20

Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

The combined area of a square and a rectangle is 116 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimensions of the square and the rectangle.

(Multiple Choice)

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Question 101

Solve the equation using factoring techniques. x ² + 29 x + 180 = 0

(Multiple Choice)

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Question 102

Solve the inequality and express the solution set using interval notation. $7 ( x - 9 ) - 3 ( x - 7 ) < 6$

(Short Answer)

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Question 103

There are 54 students in a certain class. The number of females is 6 less than three times the number of males. Find the number of females and the number of males in the class. The number of males is . The number of females is . Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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Question 104

Solve the equation. $0.05 x - 5 ( x + 0.5 ) = 1.2$

(Multiple Choice)

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Question 105

Find the indicated product. ( 2 x $-$ 7 ) 3

(Short Answer)

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Question 106

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 2 x ^ { n } + 9 \right) ^ { 2 }$

(Short Answer)

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Question 107

Solve the equation using factoring techniques. w 2 $-$ 2 w = 15

(Multiple Choice)

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Question 108

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , 0 ) \cup \left( \frac { 16 } { 15 } , \infty \right)$

(Multiple Choice)

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Question 109

Pascal's triangle is used to find the coefficients in a binomial expansion.

(True/False)

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Question 110

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$

(Multiple Choice)

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Question 111

Perform the indicated division of polynomial by monomial. $\frac { 28 x ^ { 15 } + 56 x ^ { 6 } } { 4 x }$

(Short Answer)

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Question 112

A prime polynomial is factorable using prime integers.

(True/False)

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Question 113

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 7 y - 2 \right) \div \left( y ^ { 2 } - y \right)$ $\text { Q: }$ $\mathrm { R } :$

(Short Answer)

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Question 114

Find the indicated product. $\left( - 3 a b ^ { 3 } \right) ^ { 2 }$

(Multiple Choice)

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Question 115

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , - 6 ) \cup \left( - \frac { 1 } { 13 } , \infty \right)$

(Multiple Choice)

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Question 116

The area of a triangular sheet of paper is 116 square inches. One side of the triangle is 5 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.

(Multiple Choice)

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Question 117

Solve the equation. | 3 x $-$ 3 | + 15 = 21 Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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Question 118

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 4 } - x ^ { 3 } - 8 x ^ { 2 } - 2 x - 2 \right) \div ( x + 2 )$

(Short Answer)

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Question 119

Solve the system of equations. $\left( \begin{array} { l } 3 x + 5 y = - 12 \\5 x - 6 y = - 20\end{array} \right)$

(Short Answer)

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Question 120

The combined area of a square and a rectangle is 116 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimensions of the square and the rectangle.

Solve the equation using factoring techniques. x ² + 29 x + 180 = 0

Solve the inequality and express the solution set using interval notation. $7 ( x - 9 ) - 3 ( x - 7 ) < 6$

There are 54 students in a certain class. The number of females is 6 less than three times the number of males. Find the number of females and the number of males in the class. The number of males is . The number of females is . Please enter your answer as two numbers, separated by a comma.

Solve the equation. $0.05 x - 5 ( x + 0.5 ) = 1.2$

Find the indicated product. ( 2 x $-$ 7 ) 3

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 2 x ^ { n } + 9 \right) ^ { 2 }$

Solve the equation using factoring techniques. w 2 $-$ 2 w = 15

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , 0 ) \cup \left( \frac { 16 } { 15 } , \infty \right)$

Pascal's triangle is used to find the coefficients in a binomial expansion.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$

Perform the indicated division of polynomial by monomial. $\frac { 28 x ^ { 15 } + 56 x ^ { 6 } } { 4 x }$

A prime polynomial is factorable using prime integers.

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 7 y - 2 \right) \div \left( y ^ { 2 } - y \right)$ $\text { Q: }$ $\mathrm { R } :$

Find the indicated product. $\left( - 3 a b ^ { 3 } \right) ^ { 2 }$

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , - 6 ) \cup \left( - \frac { 1 } { 13 } , \infty \right)$

The area of a triangular sheet of paper is 116 square inches. One side of the triangle is 5 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.

Solve the equation. | 3 x $-$ 3 | + 15 = 21 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 4 } - x ^ { 3 } - 8 x ^ { 2 } - 2 x - 2 \right) \div ( x + 2 )$

Solve the system of equations. $\left( \begin{array} { l } 3 x + 5 y = - 12 \\5 x - 6 y = - 20\end{array} \right)$

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

The combined area of a square and a rectangle is 116 square centimeters. The width of the rectangle is 2 centimeters more than the length of a side of the square, and the length of the rectangle is 2 centimeters more than its width. Find the dimensions of the square and the rectangle.

Solve the equation using factoring techniques. x 2 + 29 x + 180 = 0

Solve the inequality and express the solution set using interval notation. 7(x−9)−3(x−7)<67 ( x - 9 ) - 3 ( x - 7 ) < 67(x−9)−3(x−7)<6

Solve the equation. 0.05x−5(x+0.5)=1.20.05 x - 5 ( x + 0.5 ) = 1.20.05x−5(x+0.5)=1.2

Find the indicated product. ( 2 x −-− 7 ) 3

Find the indicated product. Assume the variable that appears as exponent represents positive integer. (2xn+9)2\left( 2 x ^ { n } + 9 \right) ^ { 2 }(2xn+9)2

Solve the equation using factoring techniques. w 2 −-− 2 w = 15

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - (−∞,0)∪(1615,∞)( - \infty , 0 ) \cup \left( \frac { 16 } { 15 } , \infty \right)(−∞,0)∪(1516​,∞)

Pascal's triangle is used to find the coefficients in a binomial expansion.

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - −3s7q7+8s8q7−11s7q8- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }−3s7q7+8s8q7−11s7q8

Perform the indicated division of polynomial by monomial. 28x15+56x64x\frac { 28 x ^ { 15 } + 56 x ^ { 6 } } { 4 x }4x28x15+56x6​

A prime polynomial is factorable using prime integers.

Find the quotient and remainder for the division problem. (2y3−3y2−7y−2)÷(y2−y)\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 7 y - 2 \right) \div \left( y ^ { 2 } - y \right)(2y3−3y2−7y−2)÷(y2−y) Q: \text { Q: } Q: __________ R:\mathrm { R } :R: __________

Find the indicated product. (−3ab3)2\left( - 3 a b ^ { 3 } \right) ^ { 2 }(−3ab3)2

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - (−∞,−6)∪(−113,∞)( - \infty , - 6 ) \cup \left( - \frac { 1 } { 13 } , \infty \right)(−∞,−6)∪(−131​,∞)

The area of a triangular sheet of paper is 116 square inches. One side of the triangle is 5 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.

Solve the equation. | 3 x −-− 3 | + 15 = 21 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. (2x4−x3−8x2−2x−2)÷(x+2)\left( 2 x ^ { 4 } - x ^ { 3 } - 8 x ^ { 2 } - 2 x - 2 \right) \div ( x + 2 )(2x4−x3−8x2−2x−2)÷(x+2)

Solve the system of equations. (3x+5y=−125x−6y=−20)\left( \begin{array} { l } 3 x + 5 y = - 12 \\5 x - 6 y = - 20\end{array} \right)(3x+5y=−125x−6y=−20​)

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 equation using factoring techniques. x ² + 29 x + 180 = 0

Solve the inequality and express the solution set using interval notation. $7 ( x - 9 ) - 3 ( x - 7 ) < 6$

Solve the equation. $0.05 x - 5 ( x + 0.5 ) = 1.2$

Find the indicated product. ( 2 x $-$ 7 ) 3

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( 2 x ^ { n } + 9 \right) ^ { 2 }$

Solve the equation using factoring techniques. w 2 $-$ 2 w = 15

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , 0 ) \cup \left( \frac { 16 } { 15 } , \infty \right)$

Perform the indicated divisions of polynomials by monomials. Match each of the expressions with the corresponding polynomial to obtain a true statement. - $- 3 s ^ { 7 } q ^ { 7 } + 8 s ^ { 8 } q ^ { 7 } - 11 s ^ { 7 } q ^ { 8 }$

Perform the indicated division of polynomial by monomial. $\frac { 28 x ^ { 15 } + 56 x ^ { 6 } } { 4 x }$

Find the quotient and remainder for the division problem. $\left( 2 y ^ { 3 } - 3 y ^ { 2 } - 7 y - 2 \right) \div \left( y ^ { 2 } - y \right)$ $\text { Q: }$ $\mathrm { R } :$

Find the indicated product. $\left( - 3 a b ^ { 3 } \right) ^ { 2 }$

Solve each compound inequality. Express the solution sets in interval notation. Match each compound inequality with the interval to obtain a true statement. - $( - \infty , - 6 ) \cup \left( - \frac { 1 } { 13 } , \infty \right)$

Solve the equation. | 3 x $-$ 3 | + 15 = 21 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 4 } - x ^ { 3 } - 8 x ^ { 2 } - 2 x - 2 \right) \div ( x + 2 )$

Solve the system of equations. $\left( \begin{array} { l } 3 x + 5 y = - 12 \\5 x - 6 y = - 20\end{array} \right)$