Download Q: What do you get if you add two apples and three apples

Algebra 1
Quadratics Assessment
Thursday, April 22, 2010
Q: What do you get if you add two apples and three apples?
A: A high school math problem!
Good Luck to_______________________________________________________
Directions: You are asked to solve each problem. You do not have to answer in sequential order,
answer the types of problems that you are most familiar with, going back and attempt the problems
you skipped. Please show your work.
Evaluate each expression.
1. (5  5) *7
2.
[4* 2  (3  9)  (8  2*3)]
3. 4[30  (10  2) *3]
4.
(5)(2)  (5)(3)
25
Simplify each expression.
5. 7x-(-2x)+8
6. 9  y  ( x)  5  8 y  4  3  2 x
7. 4  (7 x)  7 x  14  x  1
8. 6  4  2  7  5 1  3
Algebra 1
Quadratics Assessment
Thursday, April 22, 2010
Solve the following equations.
9. 3 11x  8x 15
10. 5x  2  x  6
11. 9x  4  2x  25
12. 2x  3x  4x  5x 16
Solve the following systems using either elimination or substitution; be sure to show your work.
15.
16.
x  7  3y
x  4y  5
y  7x  5
2 x  y  13
17.
18.
2 x  3 y  9
x  y  2
4 x  4 y  14
2x  4 y  8
Algebra 1
Quadratics Assessment
Thursday, April 22, 2010
Identify the slope and the y-intercept in the following equations.
19. 6 x  3 y  8
21. 4 x  3  y
20. 3  2 y  8 x
22. 2 x  y  5  0
Write the equation of the line parallel to the given line that goes through the given point.
23. y 
3
x  2 , (0, 0)
5
24. y  2 x  5 , (4, 2)
Write the equation of the line perpendicular to the given line that goes through the given point.
25. y  4 x  1 , (-2, 6)
1
26. y  x  1 , (6, -2)
3
Algebra 1
Quadratics Assessment
Thursday, April 22, 2010
Write the equation of the line containing each pair of points.
27. (5, 4) and (1, 1)
28. (-2, 3) and (3, 5)
Find the values for x in the following quadratics (factoring).
29. x 2  x  12  0
31. x 2  45  4 x
30. 3x 2  7 x  6
32. 2 x 2  8 x  6  0
Solve each of these using the Quadratic Formula.
33. x 2  x  2  0
34. 6  4 x  3 x 2  8
Algebra 1
35. 3 x 2  2 x  1  0
Quadratics Assessment
Thursday, April 22, 2010
36. x 2  5 x  1  2
Story Problems…because mathematics would just be numbers without them.
37. Jacques will wash the windows of a house for $15.00 plus $1.00 per window. Ray will wash
them for $5.00 plus $2.00 per window. Let x be the number of windows and y be the total
charge for washing them. Write an equation that represents how much each person charges
to wash windows. Solve the system of equations and explain what the solution means and
when it would be most economical to use each window washer.
38. Larry and his sister, Betty, are saving money to buy their own laptop computers. Larry has
$215 and can save $35 each week. Betty has $380 and can save $20 each week. When will
Larry and Betty have the same amount of money?
Algebra 1
Quadratics Assessment
Thursday, April 22, 2010
39. RJ’s car has a gas tank which holds 19 gallons of fuel. If the gas tank was full and he used
eight gallons to drive 200 miles, does the car have enough gas to go another 250 miles?
40. It is now 7:51pm. The movie that you have waited three weeks to see starts at 8:15 pm.
While standing in line for the movie, you count 146 people ahead of you. Nine people buy
their tickets in 70 seconds. Will you be able to buy your ticket before the movie starts?
Solve and explain your reasoning.
41. Alice knows six cups of rice will make enough Spanish rice to feed 15 people. How much
rice is needed to feed 75 people?
42. About eight out of every 100 people in the state have red hair. If a typical classroom in the
state has 31 students, how many would you expect to have red hair? If the school has 2150
students, how many would you expect to have red hair?
43. Ben needs to buy 360 cherries for a large salad. He can buy nine cherries for $0.57. How
much will 360 cherries cost?