Name:
Class:
Date:
Summer Assignment 2014 Honors Algebra 2
This assignment must be completed and turned in on
the first day of school. Please bring it to class on the
first day. Students who do not complete the summer
assignment will not be permitted to take Honors
Algebra 2. There will be a quiz on this material during
the first two weeks of school. Honors Algebra
2 students are expected to earn an 80% or higher on
this quiz. Show all work for each question on
notebook paper which should be submitted with this
assignment.
Use the graph at the right to determine
whether each system has no solution, one
solution, or infinitely many solutions.
Simplify.
13. 3x – y = –3
2x – 3y = –2
1.
2.
14. x + y = 3
y = –x + 3
3.
4.
Solve each equation.
5. 7 + t = 11
15. Nature’s Best wants to combine nuts they sell for
$3.60 a pound with dried fruit they sell for $2.40 a
pound to create a trail mix. How much of each snack
should they use to make 10 pounds of trail mix that
would sell for $3.30 a pound?
6. 3 – 5b = –32
16. Find the x-intercept of 3x – y = 7.
7. Ian has $6000. He wants to buy a car within $1500
of this amount. Define a variable, write an inequality,
and find the range of car prices. Write your answer
in sentence form please.
Name the property used in each equation.
17. ( 6 + n ) + x = x + ( 6 + n )
Solve each equation. Check the solutions.
8. (3n + 2)(n – 2) = 0
9. 8n 2 + 4 = 12n
10. 8n + 11 = 4 + 5(2n – 1)
Use the data that shows age and percent of
budget spent on entertainment in the table to
answer the following questions.
18. Make a scatter plot relating the age to the percent of
the person’s budget spent on entertainment.
Factor each polynomial, if possible. If the
polynomial cannot be factored, write prime.
11. 9a 2 + 42a – 49
12. 10y2 – 31y + 15
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Summer Assignment 2014 Honors Algebra 2
19. Write the slope-intercept form of the equation for a
line of fit for the data. Use your equation to predict
the percent of a 65­year­old person’s budget.
Factor each polynomial.
20. t2 – 11t + 24
21. Write an equation in slope-intercept form for the line
that passes through (5, 4) and (6, –1).
Find each product.
22. (4x2 + 2y2)(2x2 – y2)
Solve each inequality. Then graph the solution
set.
23. | 3 – 2x | 1
31. Brent has $3.35 in quarters and dimes. If he has 23
coins in all, find the number of quarters and dimes.
32. A store has all board games on sale for 25% off the
regular price. A checker set has a sale price of $12.
It is then moved to a clearance table where every
item is discounted 40% off its regular price. What is
the clearance price of the checker set?
Simplify each expression. If not possible, write
simplified.
33. 3 + 6(5a + 4an) + 9na
34. In 1995, 57.5% of students at Gardiner University
graduated in 4 or fewer years of study. In 2009, that
number had fallen to 52.8%. What was the rate of
change for percent of students graduating within 4
years from 1995 to 2009?
35. Evaluate |3t – n| if t = –3 and n = 2.
Determine the best method to solve each
system of equations. Then solve the system.
24. 5x – 15y = –20
5x – 4y = –9
25. y = 3x + 1
x – 2y = 8
36. Each day David drives to work in the morning,
returns home for lunch, drives back to work, and
then goes to a gym to exercise before he returns
home for the evening. Draw a reasonable graph to
show the distance David is from his home for a twoday period.
Evaluate each expression.
37. 6 • 8 + 29 + 7 + 3 • 7
Solve each equation.
26. 9 – t = t + 3
Find the slope of the line passing through each
pair of points. If the slope is undefined, write
“undefined.”
38. (4, 1) and (–4, 1)
27. 17 + 3(z – 2) – 11z = –7(z + 2) + 14
28. Graph the equation x + 4y – 3 = 0.
Evaluate each product or quotient. Express the
results in both scientific notation and standard
form.
39. (2.8
29. Simplify
10–4)(7.7
109)
.
Solve each equation. Then graph the solution
set.
30. |2t + 4| = 2
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Summer Assignment 2014 Honors Algebra 2
49. The sum of two numbers is 16 and their difference is
20. What are the two numbers?
40. Graph y = x.
Solve the system of inequalities by graphing.
50. y < x + 1
Write an algebraic expression for each verbal
expression.
41. 42 decreased by twice some number
y
51. y
2x – 3 x+3
Use the graph that shows the average daily
circulation of the Evening Telegraph.
y > – x – 2 52. Write a verbal expression for
.
Evaluate each expression if w = 4, n = 8, v = 5,
and t = 2.
53. w2 + n(v2 – t)
42. Identify the independent and dependent variables.
54. One number is 5 times another number. The product
of the two numbers is 245. Find the two numbers.
Solve each inequality.
43. –19.8 - 3.6y
44.
55. ​
Graph
14
.
45. 7 + z < 3
46. Evaluate
.
Simplify. Assume that no denominator is equal
to zero.
Find each sum or difference.
47.
56. (11m2 – 2mt + 8t2) + (8m2 + 4mt – 2t2)
48.
57. Write an equation in standard form for the line that
has an undefined slope and passes through (5, –3).
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Summer Assignment 2014 Honors Algebra 2
58. Use cross products to determine whether the pair of
ratios
and
form a proportion. Write yes or no.
59. Write the slope-intercept form of the equation of the
line perpendicular to the graph of 4x – y = 12 that
passes through (8, 2).
Determine whether each equation is a linear
equation. Write yes or no. If so, write the
equation in standard form.
60.
+
Use the table below that shows the amount of
gasoline a car consumes for different distances
driven.
65. How many gallons will the car consume after driving
for 140 miles?
66. Graph the line with y-intercept 2 and slope
.
=
Use the graph.
67. Translate the following sentence into an equation.
A number n added to 18 is seven times the
difference of n and three.
61. Interpret the end behavior of the function.
Use elimination to solve each system of
equations.
62. 2x + 3y = 19
2x – 3y = 1
Solve each compound inequality. Then graph
the solution set.
68. –4 ≤ n or 3n + 1 < –2
69. Graph y > – x + 2.
63. 2x + 2y = 6
3x – 2y = –11
64. GARDENING The length of a rectangular garden
is 8 feet longer than its width. The garden is
surrounded by a sidewalk. The sidewalk is 4 feet
wide and has an area of 320 square feet. Find the
dimensions of the garden.
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Summer Assignment 2014 Honors Algebra 2
70. ​
Graph –3 = –2y – 1 .
71. Simplify 2(x + 3y – 2z) .
72. Write the slope-intercept form of an equation for the
line graphed below.
73. Solve
.
74. Paula leaves home driving 40 miles per hour. One
hour later, her brother Dan leaves home driving in
the same direction at a speed of 50 miles per hour.
How long will it take Dan to catch up to Paula?
75. Square the binomial
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