Exam 8: A Transition From Elementary Algebra to Intermediate Algebra

Domenica and Javier start from the same location at the same time and ride their bicycles in opposite directions for 4 hours, at which time they are 128 miles apart. Domenica rides 4 miles per hour faster than Javier. Find the rate of each rider.

Solve each equation using factoring techniques. Match each equation with the corresponding solution set. - $t = \frac { - 4 } { 3 } , t = 6$

Solve the inequality and express the solution set using interval notation. $\frac { x - 4 } { 4 } - \frac { x - 5 } { 6 } \leq \frac { 5 } { 12 }$

Find the indicated product. (5 x + 8)( x + 6)

Solve the inequality and express the solution set using interval notation. $9 ( x - 13 ) \leq - 12 ( x + 8 )$

Find three consecutive integers whose sum is $- 60$ . Please enter your answer as three numbers, separated by commas.

The absolute value of an expression can be less than zero.

Factor the polynomial completely. $9 a ^ { 2 } - 24 a + 16$

Find the quotient and remainder for the division problem. $\left( 8 x ^ { 2 } + 6 x - 9 \right) \div ( 4 x - 3 )$ $\text { Q }$ __________ $\mathrm { R } :$ __________

Find three consecutive integers whose sum is $- 57$ .

Solve the compound inequality using the compact form. Express the solution sets in interval notation. $- 2 < 1 - x < 2$

Solve the inequality and express the solution set using interval notation. $10 ( x + 2 ) - 5 ( x - 7 ) < 0$

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. - $( 6 , \infty )$

The factoring process, $a b + a c = a ( b + c )$ , is referred to as factoring out the highest common factor.

Solve the equation. $- 5 = 7 x + 2$

Synthetic division is used to simplify the process of dividing a polynomial by a binomial.