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Algebra 1
Mid-Term Exam Review
Simplify
1.
 62
2.
 7 2
3.
53
4. Mr. and Mrs. Phillips are going to build a new home with a foundation that is in the shape of a
square. The house will cover 222 square yards. Find the length of the side of the house to the
nearest tenth of a yard.
5. Simplify:
400
6. Simplify:
6  2  3  9  7 2
7. Simplify:
5 x 2  2 x  3x 2
8. Solve for x:


3x  3  18
9. Solve for a: 15 
a
2
3
10. Solve for c:
3c  5  2c  5
11. Solve for x:
3 1

x 8
12. Solve for f:
f 3 7

12
2
13. Solve for y:
3
16

2y y  2
14. Roger is 5 ft tall and casts a shadow that is 3.5 ft long. At the same time, the flagpole outside
his school casts a shadow that is 14 ft long. Write and solve a proportion to find the height
of the flagpole.
15. A tower casts a 450 ft shadow at the same time that a 4 ft child casts a 6 ft shadow. Write
and solve a proportion to find the height of the tower.
16. 40 is what percent of 25?
17. 16 is 10% of what number?
18. Joe earns $150 per week plus 12% commission on sales. Pete earns $200 per week plus 8%
commission on sales. Last week, both had sales of $1500. Who earned more money?
19. Solve and graph on a number line:
20. Solve for x:
2x  4x  6
21. Solve for k:
2k  7  2k  14
4x  3  24
22. Is {(6,2), (-1,2), (-3,2), (-5,2)} a function?
23. An amusement park charges a $6.00 parking fee plus $29.99 per person. Write a rule in
function notation, and find the total cost for 4 people parking together to go to the
amusement park.
Identify whether the correlation would be positive, negative, or no correlation.
24. The temperature in Houston and the number of cars sold in Boston.
25. The number of members in a family and the size of their grocery bill.
26. Find the x and y-intercepts of  3 x  5 y  30 .
Find the slope of the line with the given information.
27. the line contains the points (-2,3) and (5,6).
28. a horizontal line
29. a vertical line
30. the line contains the points (2,7) and (4,4)
31. The value of y varies directly with x, and y = 6 when x = 12. Find y when x = 27.
32. Write the equation of the line in slope-intercept form: 6 x  3 y  12
33. Write the equation of the line in slope-intercept form: 4 x  y  9
34. Graph
y  12 x  2 .
Write an equation of the line in point-slope form with the given slope and point that it passes
through.
35. slope of 5, passes through (1,4)
36. slope of
2
, passes through (6,4)
3
Write an equation in slope-intercept form with the given information.
37. slope of
1
, passes through (6,4)
2
38. passes through the points (-1,2) and (4, -23)
Tell whether the following lines are parallel, perpendicular, or neither.
39.
y   56 x  8 ; y   56 x  4
40. x  6 y  15 ; y  6 x  8
41.
y  9  3x  1 ; y  0
Find the equation of the line in slope-intercept form.
42. parallel to
y  12 x  4 and has a y-intercept of 6
43. perpendicular to
y  12 x  4 and has a y-intercept of -3
Use f(x) = 4x + 2 for the following questions.
44. What is the function that results from reflecting it across the y-axis?
45. What is the function that results from translating it down 4 units?
46. Write a function that has taken the original function and rotated it counterclockwise about the
y-intercept.
47. Solve the following equations by substitution
48. Solve the following equations by elimination
49. Solve the following equations by graphing
50. Brianna’s family spent $134 on 2 adult
tickets and 3 youth tickets at an amusement
park. Max’s family spent $146 on 3 adult
tickets and 2 youth tickets. What is the price of
a youth ticket?
51. Carl bought 19 apples of 2 different
varieties to make a pie. The total cost of the
apples was $5.10. Granny Smith apples cost
$0.25 each and Gala apples cost $0.30 each.
How many of each type of apple did Carl buy?