1. Add.
11 + ( - 13)1+ I - 181 II + ( - 13)1+ I - 181 =
2. Simplify the following expression.
5 - 1 + 4 - I 5 -1 + 4 - 1 = (Type a simplified fraction.)
3. Graph the linear equation.
6x — 12y + 3 = 0
Choose the correct graph below.
4. Approximately 2127 heart transplants were performed in a country in 2001. In 2006, the number of heart transplants in the country rose to 2412.
Complete parts a) — c). a) Write two ordered pairs of the form (year, number of heart transplants). (Use a comma to separate answers as needed.) b) Find the slope of the line between the two points. m = D c) Write a sentence explaining the meaning of the slope as a rate of change. Choose the correct interpretation of the slope.
OA- The number of heart transplants increased at a rate of about per year. OB. Time increased at a rate of about U years per number of heart transplants. OC The number of heart transplants increased at a rate of about 1 per • years.
5. Solve the equation. 2 1 15x — 5 = 1 x = J (Simplify your answer.)
6. Find the slope of the line if it exists.
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
Ok The slope is a. (Simplify your answer. Type an integer or a fraction.) OB. The slope is undefined.
7. Find an equation of the line passing through the pair of points. Write the equation in the form Ax + By = C.
( — 7,6), ( — 8, — 5) Choose the equation of the line in the form Ax + By = C.
OA. Ilx+y= —83 OB. —11x—y=83 OC. x +y= 83 OD. —11x+y=83
8. Susan Marciano invested part of her $20,000 bonus in a fund that paid a 12% profit and invested the rest in stock that suffered a 3% loss. Find the amount of each investment if her overall net profit was $1,500. The amount invested at 12% is SD. The amount invested in stock is SO.
9. William and Debra Pierce are celebrating their 20th anniversary by having a reception at a local reception hall. They have budgeted $2,000 for their reception. If the reception hall charges a S60 cleanup fee plus S36 per person, find the greatest number of people that they may invite and still stay within their budget. William and Debra can invite at most El people to the reception. (Round down to the nearest whole person.)
10. Factor the following binomial completely.
36x2— 121y2 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. 36x2 - 121y2 = (Factor completely.) OB. The polynomial is prime.
If x = — 1 and y = — 3, evaluate the expression.
8x2-5y2 Select the correct choice below and fill in any answer boxes within your choice.
OA- The answer is.. (Type an integer or a simplified fraction.) OB. The expression is undefined.
12. Find the slope of the line.
— 7x — 6y = I Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. The slope is.. (Simplify your answer.) OB. The slope is undefined.
13. Factor completely.
20b2 — 28b — 96 Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
OA. 20b22 - 28b — 96 = II (Factor completely.) OB. The polynomial is prime.
14. Subtract. (3x2 + y2 — 5) — (8x2 + y2— 2) (3x 2 + y2— 5) — (8x 2 + y2— 2) =? (Do not factor.)
Solve the equation for x.
—6(5x —4) + 2 —30x + 26 Select the L... ....I choice below and if necessity. fill in the answer box to complete your choice.
x (Type an integer or a fraction. Simplify your answer.) 08 The solution is all real numbers. OC There is no solution.
16. Factor out the GCF from the polynomial.
35e + Sy'
35,8+ 5y3 =? (Simplify your answer.)
17. A train leaves Link Rock. Arkansas. and travels north at 55 kilometers per hour. Another train leaves at the same time and travels south at 55 kilometers per hour. How long will it take before they are 330 kilometers apart? It will take ? hours.
18.
Solve.
3(9 — z)
2
Select the correct choice below and. if necessary. fill in the answer box to complete your choice.
OA = (Simplify your answer.) 08 The solution is the set of all real numbers. Oc There is no solution.
9. Use the power rule, the power of a product rule, and the power of a quotient rule to simplify the expression.
20. Solve the equation. 6— 2(a+2)= 8 +a a =?
21. Multiply. (x — 2) (x2 - 6x + 3) (x — 2)(x2— 6x + 3) =?
22. Simplify.
—4 +(-6)2 7-15
—4+ (— 6)2
7 — 15 —?(Type an integer or a simplified fraction.)
23. Use the product rule to simplify the expression. Write the results using exponents. (2z I) ( — 5z2)(z2) (2zI2)( — 5z2)(z2) =?
24. Solve the inequality. Graph the solution set and write it in interval notation. — 2x+ 6 —(x— 6) Choose the correct graph below.
25. The number of registered vehicles on the road in a country is constantly increasing. In 2009, there were approximately 350 million registered vehicles. This represents a 5% increase over 2002. How many registered vehicles were there in the country in 2002? Round to the nearest million.
million registered vehicles (Round to the nearest million as needed.)