Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

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

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.