Download Algebra 1 Fall Final Review Packet Evaluate the following

Algebra 1
Fall Final Review Packet
Evaluate the following expressions.
1.
when
2.
.
3. 16 + 12x –
when
4. 6y + 7 – 3x
when
x = 3.
y = 3 and
x = 4.
5. Write an expression for "three times the difference of a number
x and 5."
6. A man buys 13 shirts at $26.43 each. Find his total bill. Use a calculator.
7. Is x = 2 a solution of the inequality
?
8. Write the numbers in decreasing order.
9. After a week of tracking imaginary stock portfolios, four students each calculated the change in the price
of the best performing stock they had chosen. Some students preferred decimal form, some preferred
fraction form, and the changes are shown in the table below. Which stock was the second best performer?
Find the difference.
10. (–10)
(–7)
Find the product.
11.
12. Find the product
.
Use the distributive property to write an equivalent variable expression.
13.
14. Simplify
Algebra 1
Solve the equation. Check your solution.
16. 4x = 20
17. 8x = 44
18.
19.
20.
Use the diagram (not drawn to scale).
21. Use an equation to find the value of
.
Solve the equation.
23.
Solve the equation. Round the solution to two decimal places.
24.
Solve the proportion. Check your solution.
25.
=
26. An airplane traveled 372 miles in the first 3 hours of a 500-mile trip.
total time, in hours, required for the trip traveling at this rate.
Write a proportion to find t, the
27. A youth soccer team eats 8 pounds of oranges per game. Write and solve a proportion to determine how
many pounds of oranges the team eats in 6 games.
Round your answer to the nearest tenth of a percent, if necessary.
29. What is 18% of 180 miles?
30. What is 38% of 1250 yards?
Algebra 1
31. Solve
for
.
32. Solve
for
.
33. What are the coordinates of point
A?
34.
35. Sketch the graphs of
x = –3 and y = 4. Find the point at which the two graphs intersect.
Algebra 1
36. Complete the table. Then graph the function.
37. What is the
-intercept of the line with the equation
Identify the x-intercept and the
?
y-intercept of the line.
38.
39. Find the slope of the line that contains (–5, 8) and (–5, –5).
40. Find the slope of the line through the points (–1, –3) and (–1, 7).
41.
Write the equation
42. Write the equation
43. Write the equation
in slope-intercept form.
in slope-intercept form, and sketch the line.
in slope-intercept form, and sketch the line.
46. Write an equation of the line with slope
and y-intercept –4.
Algebra 1
47. Write an equation of the line shown on the graph.
48. Write an equation of the line shown.
49. Find the
y-intercept of a line that passes through
50. A line passes through the point (–1, –3) and has a slope of
and has a slope of –1.
. Sketch the line and write its equation in
slope-intercept form.
Write an equation in point-slope form of the line that passes through the given points.
51. (4, –4), (7, 6)
52. (–1, –8), (4, –6)
53. (4, –6), (–3, –8)
Algebra 1
Graph the equation.
54.
55.
56. Write the standard form of the equation of the line with slope 4 passing through the point (–2, 3).
57. Write the equation of the line passing through (2, –7), (2, 0), and (2, 5).
Write an equation in standard form of the line that passes through the given point and has the given slope
m or that passes through the two given points.
58.
59. Write an equation of the line that passes through (5, 7) and is perpendicular to the line
60.
Write an equation of the line that passes through (5, 3) and is parallel to the line
.
Algebra 1