Exam 6: Topics in Algebra

Solve by using the quadratic formula. $6 x ^ { 2 } - x - 3 = 0$ A) $\left\{ \frac { 1 \pm \sqrt { 73 } } { 6 } \right\}$ B) $\left\{ \frac { - 1 \pm \sqrt { 73 } } { 12 } \right\}$ C) $\left\{ \frac { 1 \pm \sqrt { 73 } } { 12 } \right\}$ D) $\left\{ \frac { - 1 \pm \sqrt { 73 } } { 6 } \right\}$

Determine whether the given value is a solution to the equation. $- 5 ( x + 4 ) = - 3 x ; x = - 4$

Solve: $3 ( x + 20 ) = - 12$

List the coefficients in the expression. $\frac { 4 } { 5 } x + y - 5.8 z$ A) $\frac { 4 } { 5 } , 1 , - 5.8$ В) $\frac { 4 } { 5 } , - 5.8$ C) $\frac { 4 } { 5 } , 0 , - 5.8$ D) $+ , + , -$

An arithmetic student needs at least a 70% average to receive credit for the course. If she scored 85%, 79%, and 69% on the first three exams, what is the lowest score she can get on the fourth exam to receive credit for the course?

Solve the inequality: $x - 15 < 8$ A) $\{ x \mid x > - 7 \}$ B) $\{ \mathrm { x } \mid x > 23 \}$ C) $\{ \mathrm { x } \mid x < 23 \}$ D) $\{ x \mid x < - 7 \}$

Joe has $10,000 to purchase a used car. If the sales tax is 7% and the fee for title and license plates is $200, what is the maximum amount Joe can spend for a car?

The time to complete a project is inversely proportional to the number of people who are working on the project. A class project can be completed by 3 students in 24 days. In order to finish the project in 6 days, how many more students should the group add?

State whether the equation is a linear equation in one variable or not. $- 5 x ( 2 - x ) = x + 8$

A bus leaves from campus headed east at 25 miles per hour and another bus leaves from campus headed south at 35 miles per hour. How long will it take for the buses to be 172 miles apart? Round answer to the nearest hour.

State whether the equation is a linear equation in one variable or not. $2 x = 7 ( x - 2 )$

Solve. $\quad - 10 - x > - 7$ A) $\{ \mathrm { x } \mid x < - 3 \}$ B) $\{ x \mid x < - 17 \}$ C) $\{ x \mid x > - 3 \}$ D) $\{ x \mid x > - 17 \}$

Write in symbols: A number increased by 9.

A person sold their house for $100,000 and made a profit of 35%. How much did they pay for their home?

Solve by factoring. $- 15 x ^ { 2 } - 4 x + 4 = 0$

The simple interest (I) on a certain amount of money (p) that is invested at a specified interest rate (r) for a specific period of time (t) can be found by the formula I = prt. Find the interest on a principal of $100 invested at 3% yearly for 7 years.

At a certain restaurant, one out of every 7 customers orders a hamburger. If the restaurant has 126 customers in one day, how many hamburgers will they sell?