Accelerated Algebra 2
Test 1 Review
Fall 13’
1. Put the equation 3x – 2y = 6 in slope intercept form. Identify the slope and y intercept.
2. Given the graph of the function, find:
Domain b. Range c. f(3) (estimate) d. Where is f(x)=6? (estimate)
3. Determine if the following relation is a function. Explain.
{(1,3), (2,5), (4,-9), (5, -9), (4, 10)}
4. Find the equation for the line with the given conditions.
a. passes through (2,4) and (4, 5)
b. vertical line through (2.8, 4)
5. Find the equation of a line that is parallel to y = -2x + 3 and passes through the point (3, -1)
6. Find the x an y intercepts of the linear function 5x – 2y = 12
7. Dan Abbey is a building contractor. If he hires 7 day laborers and 2 concrete finishers, his payroll for the day is $1384. If he hires 1 day laborer and 5 concrete finishers, his daily cost is $952. Find the daily wage for each type of worker.
9. A chemist has two prepared acid solutions, one of which is 2% acid by volume, another 7% acid. How many cubic centimeters of each should the chemist mix together to obtain 40 cm3 of a 3.2% solution?
Solve the system of two equations.
10. x/3 + y/5 = 12
x – y = 4
11. Solve the system of 3 equations
a) 2x + 3y + 2z = 7
x + 3y – z = -2
x – y + 2z = 8
b) x + y + z = 2
2x – 3y + 2z = 4
4x + z = 1
12. Solve the system by method of your choice
a. 4x + 2y = 16
x – 5y = 70
b. x + 4y = 8
3x + 12y = 2
c. 25x – 75y = 100
-10x + 30 y = -40
13. A population of deer is growing at a constant rate. If the initial population is 2480 and the population in ten years is 6,460, find an equation to describe the population over time. What is the population after 15 years?
14. In 2 ½ hours an airplane travels 600 miles against the wind. It takes 50 minutes to travel with the wind. Find the speed of the wind and the speed of the plane.
15. A boat on a river travels downstream between two points, 20 miles apart, in one hour. The return trip against the current takes 2.5 hours. What is the boat’s speed and speed of the current?
16. Solve the inequality. Write the solution set in interval notation.
a. |x-9| - 3 < 12
b. |2x + 1 | > 6