Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

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. - $\left( - \infty , \frac { - 71 } { 11 } \right)$

Solve the inequality and express the solution set using interval notation. $- 5 ( 5 x + 4 ) - 4 ( 6 x + 3 ) \geq 0$

Find the indicated product. Assume the variable that appears as exponent represents positive integer. $\left( x ^ { k } - 1 \right) \left( x ^ { k } + 1 \right)$

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

Solve the inequality. $| 9 x + 9 | \geq 63$

Solve the equation. | x $-$ 9 | = 5

Find the indicated product. ( x ² + 4 x + 5 ) ( x ² + 6 x + 4 )

Use synthetic division to determine the quotient and remainder for the division problem. $\left( 2 x ^ { 2 } + 3 x - 14 \right) \div ( x - 2 )$

Find the product. $\left( \frac { 7 } { 8 } x ^ { 5 } y ^ { 4 } \right) \left( - x ^ { 4 } y \right)$

Find the quotient and remainder for the division problem. $\left( 5 x ^ { 3 } + 18 x ^ { 2 } - 3 x - 1 \right) \div \left( x ^ { 2 } + 4 x \right)$

Solve the equation. | x $-$ 7 | = 9 Please enter your answer as two numbers, separated by a comma.

A parenthesis on a graph indicates that the endpoint is to be included in the solution.

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

The sum of the present ages of Eric and his father is 56 years. In 8 years, his father will be twice as old as Eric will be at that time. Find their present ages. Eric is __________ years old. His father is __________ years old. Please enter your answer as two numbers, separated by a comma.

Solve the inequality and express the solution sets in interval notation. $\frac { x + 3 } { 16 } - \frac { x + 9 } { 9 } \geq \frac { 7 } { 18 }$

Solve the inequality. $\left| \frac { 7 x - 63 } { 7 } \right| > 5$

Find the quotient and remainder for the division problem. $\left( 6 a ^ { 3 } - 4 a ^ { 2 } + 9 a - 3 \right) \div \left( a ^ { 2 } - 2 a + 3 \right)$ $\text { Q }$ __________ $\mathrm { R } :$ __________

Solve the inequality. $| x - 6 | > 1$

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $x = - 5 , x = - 13$

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. - $( 800 , \infty )$