Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 2 } + 5 x - 21 \right) \div ( x + 3 )$

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(Short Answer)

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Question 1

Correct Answer:

Verified

Q: $4 x - 7$ R: 0

Solve the inequality. $| x | \leq 6$ Please enter your answer in interval notation.

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(Short Answer)

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Question 2

Correct Answer:

Verified

$[ - 6,6 ]$

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 2 < 4$

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(Short Answer)

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Question 3

Correct Answer:

Verified

$\left( - \frac { 2 } { 5 } , \frac { 6 } { 5 } \right)$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - 9 x ^ { 3 } - 10 x ^ { 2 } + 8 x - 20 \right) \div ( x - 3 )$

(Short Answer)

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Question 4

Solve the compound inequality and graph the solution sets. $2 x - 1 \geq 5 \text { and } x > 0$

(Multiple Choice)

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Question 5

The perimeter of a rectangle is 46 inches and its area is 120 square inches. Find the length and width of the rectangle.

(Multiple Choice)

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Question 6

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

(Short Answer)

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Question 7

Solve the inequality by inspection. | 4 x $-$ 32 | $-$ 56 Please enter your answer in interval notation.

(Short Answer)

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Question 8

Solve the equation using factoring techniques. ( x + 3 ) 2 $-$ 25 = 0 Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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Question 9

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 3 < 4$

(Multiple Choice)

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Question 10

Solve the equation. $\frac { 5 x + 3 } { 3 } + \frac { 2 x + 1 } { 9 } = \frac { 5 } { 6 }$

(Short Answer)

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Question 11

Solve the inequality. | 72 $-$ 8 x | 104

(Multiple Choice)

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(84)

Question 12

The cross products in a proportion are equal.

(True/False)

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Question 13

Solve the inequality and express the solution set using interval notation. $6 ( x - 9 ) - 4 ( x - 12 ) < 20$

(Multiple Choice)

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Question 14

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - $( - \infty , 18 ]$

(Multiple Choice)

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Question 15

Find the indicated product. (3 x + 1)(3 x $-$ 1)

(Multiple Choice)

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Question 16

Factor the polynomial completely. $2 n ^ { 3 } + 10 n ^ { 2 } - 16 n$

(Multiple Choice)

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Question 17

Solve the equation. | 7 x $-$ 63 | = 42 Please enter your answer as two numbers, separated by a comma.

(Short Answer)

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(85)

Question 18

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 11 x + 21 \right) \div ( x - 8 )$

(Short Answer)

4.8/5

(85)

Question 19

Solve the inequality. | 56 $-$ 7 x | 70 Please enter your answer in interval notation.

(Short Answer)

4.7/5

(70)

Question 20

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 2 } + 5 x - 21 \right) \div ( x + 3 )$

Solve the inequality. $| x | \leq 6$ Please enter your answer in interval notation.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 2 < 4$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - 9 x ^ { 3 } - 10 x ^ { 2 } + 8 x - 20 \right) \div ( x - 3 )$

Solve the compound inequality and graph the solution sets. $2 x - 1 \geq 5 \text { and } x > 0$

The perimeter of a rectangle is 46 inches and its area is 120 square inches. Find the length and width of the rectangle.

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

Solve the inequality by inspection. | 4 x $-$ 32 | $-$ 56 Please enter your answer in interval notation.

Solve the equation using factoring techniques. ( x + 3 ) 2 $-$ 25 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 3 < 4$

Solve the equation. $\frac { 5 x + 3 } { 3 } + \frac { 2 x + 1 } { 9 } = \frac { 5 } { 6 }$

Solve the inequality. | 72 $-$ 8 x | 104

The cross products in a proportion are equal.

Solve the inequality and express the solution set using interval notation. $6 ( x - 9 ) - 4 ( x - 12 ) < 20$

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - $( - \infty , 18 ]$

Find the indicated product. (3 x + 1)(3 x $-$ 1)

Factor the polynomial completely. $2 n ^ { 3 } + 10 n ^ { 2 } - 16 n$

Solve the equation. | 7 x $-$ 63 | = 42 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 11 x + 21 \right) \div ( x - 8 )$

Solve the inequality. | 56 $-$ 7 x | 70 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

Use synthetic division to determine the quotient and remainder for the division problem. (4x2+5x−21)÷(x+3)\left( 4 x ^ { 2 } + 5 x - 21 \right) \div ( x + 3 )(4x2+5x−21)÷(x+3)

Solve the inequality. ∣x∣≤6| x | \leq 6∣x∣≤6 Please enter your answer in interval notation.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. −4<5x−2<4- 4 < 5 x - 2 < 4−4<5x−2<4

Use synthetic division to determine the quotient and remainder for the division problem. (4x4−9x3−10x2+8x−20)÷(x−3)\left( 4 x ^ { 4 } - 9 x ^ { 3 } - 10 x ^ { 2 } + 8 x - 20 \right) \div ( x - 3 )(4x4−9x3−10x2+8x−20)÷(x−3)

Solve the compound inequality and graph the solution sets. 2x−1≥5 and x>02 x - 1 \geq 5 \text { and } x > 02x−1≥5 and x>0

The perimeter of a rectangle is 46 inches and its area is 120 square inches. Find the length and width of the rectangle.

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 inequality by inspection. | 4 x −-− 32 | −-− 56 Please enter your answer in interval notation.

Solve the equation using factoring techniques. ( x + 3 ) 2 −-− 25 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. −4<5x−3<4- 4 < 5 x - 3 < 4−4<5x−3<4

Solve the equation. 5x+33+2x+19=56\frac { 5 x + 3 } { 3 } + \frac { 2 x + 1 } { 9 } = \frac { 5 } { 6 }35x+3​+92x+1​=65​

Solve the inequality. | 72 −-− 8 x | 104

The cross products in a proportion are equal.

Solve the inequality and express the solution set using interval notation. 6(x−9)−4(x−12)<206 ( x - 9 ) - 4 ( x - 12 ) < 206(x−9)−4(x−12)<20

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - (−∞,18]( - \infty , 18 ](−∞,18]

Find the indicated product. (3 x + 1)(3 x −-− 1)

Factor the polynomial completely. 2n3+10n2−16n2 n ^ { 3 } + 10 n ^ { 2 } - 16 n2n3+10n2−16n

Solve the equation. | 7 x −-− 63 | = 42 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. (x2−11x+21)÷(x−8)\left( x ^ { 2 } - 11 x + 21 \right) \div ( x - 8 )(x2−11x+21)÷(x−8)

Solve the inequality. | 56 −-− 7 x | 70 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

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 2 } + 5 x - 21 \right) \div ( x + 3 )$

Solve the inequality. $| x | \leq 6$ Please enter your answer in interval notation.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 2 < 4$

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 4 x ^ { 4 } - 9 x ^ { 3 } - 10 x ^ { 2 } + 8 x - 20 \right) \div ( x - 3 )$

Solve the compound inequality and graph the solution sets. $2 x - 1 \geq 5 \text { and } x > 0$

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

Solve the inequality by inspection. | 4 x $-$ 32 | $-$ 56 Please enter your answer in interval notation.

Solve the equation using factoring techniques. ( x + 3 ) 2 $-$ 25 = 0 Please enter your answer as two numbers, separated by a comma.

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 4 < 5 x - 3 < 4$

Solve the equation. $\frac { 5 x + 3 } { 3 } + \frac { 2 x + 1 } { 9 } = \frac { 5 } { 6 }$

Solve the inequality. | 72 $-$ 8 x | 104

Solve the inequality and express the solution set using interval notation. $6 ( x - 9 ) - 4 ( x - 12 ) < 20$

Solve each of the inequalities and express the solution sets in interval notation. Match each of the inequalities with the interval to obtain a true statement. - $( - \infty , 18 ]$

Find the indicated product. (3 x + 1)(3 x $-$ 1)

Factor the polynomial completely. $2 n ^ { 3 } + 10 n ^ { 2 } - 16 n$

Solve the equation. | 7 x $-$ 63 | = 42 Please enter your answer as two numbers, separated by a comma.

Use synthetic division to determine the quotient and remainder for the division problem. $\left( x ^ { 2 } - 11 x + 21 \right) \div ( x - 8 )$

Solve the inequality. | 56 $-$ 7 x | 70 Please enter your answer in interval notation.