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Algebra 1
Mid-Term Exam Review
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Solve the equation, if possible.
1. y – 6 = 8
2. n + 5 =  10
4. 14 – r = 3
5.
7. -
2 1
= x
3 9
10. – x – 5 + 3x = 1
x
=2
10
8. -
11.
3. a – ( 6) = 22
6. x = 2(x – 1) + 6
2
3
=
x 2x - 4
9.
(
12. 3(3.1x – 4.2) = 6.2x + 3.1
)
3
x + 2 = 3x - 10
4
1
2
1
x-4= x+
2
3
6
C
2p
13. Solve for b in terms of A and h.: A = bh
14. Solve for C in terms of r: r =
15. Solve for y in terms of x: xy – 3 = 4y
16. Solve for y: 2(x – 4) = 2(y + 5)
17. Use a table of values to graph the equations of the line:
y = 2x + 3
x
y
18. Find the x-intercept and the y-intercept to graph the equation of the line 6x + 3y = 12.
19. a) Find the slope of the line passing through the points (7, 2) and (8, 6).
b) Find the missing coordinate if m=2 and the line passes through (6, -4) and (r, -12).
c) In 2000, there were approximately 800 students in Pascack Hills High School. In 2009, that
number increased to 881. Find the annual rate of change in the number of students in the band. Be
sure to include units!
20. Graph the equations of the line using slope-intercept form
y = 3x + 2
4x – 3y = 15.
21. Write an equation of the line whose slope is –6 and whose y-intercept is –2.
22. Write an equation of the line that passes through the point (2, 4) and has a slope of –5.
23. Write an equation of the line that is parallel to y =
1
x – 3 and passes through the point (4, 0).
2
24. Write an equation of the line that passes through the points (5, 1) and (3, 2).
25. Write an equation of the line that is perpendicular to y =
26.
2
x+ 10 and passes through the point (2, 7).
5
A car rental company charges a flat fee of $100 to rent a car. They charge an additional $.10 per mile
driven.
a) Write an equation to model the cost of renting a car. Let x represent the number of miles driven.
b) If you drove 500 miles, how much would you pay?
c) If you paid $200, how many miles did you drive?
27.
28.
If f(x) = 4x – 5 and g(x) = x2 + 1, find each value.
a)
f(2) =
b)
g(-1) =
c)
f(-3) =
d)
g(f(7)) =
e)
f(g(2x))=
The table below shows the average weekly hours spent watching TV.
Year
1990
1992
1994
1996
1998
TV
20
19
18
15
14
a) Make a scatter plot of the data. Let t be the number of years since 1990.
b) Write an equation of the best fit line for hours spent watching TV.
c) Use the equation to predict the number of hours spent watching TV in 2004.
29.
Describe the correlation of each graph as having positive, negative, or no correlation:
a)
30.
b)
Describe each transformation as a reflection, rotation, translation, or dilation.
a)
b)
c)
31.
32.
d)
What happens to the coordinates of a figure if it is:
a)
reflected over the x – axis?
b)
reflected over the y – axis?
Find the percent of change for each. State whether the change is an increase or a decrease.
a)
original: 72
new: 36
b)
original: 14
new: 16
33.
A clock radio was on sale for 20% off the original price, which was $34.50. The sales tax is 7%. Find
the final price of the clock radio.
34.
Find three consecutive odd integers whose sum is 51.
35.
Find four consecutive integers whose sum is 94.
36.
A rectangle has length one more than three times the width. The perimeter of the rectangle is 24
inches. Find the length and width of the rectangle. (HINT: Set up an equation.)
37.
A plane travels at 450 mph on the way to Florida in 2.5 hours. On the return flight, the plane was only
going 400 mph and took 3.5 hours to get home. What was the average speed of the plane?
38.
Exactly 12 minutes after the Postmans head north on the Parkway, the Jaspers set out from the same
point to overtake them. The Postmans travel at a steady 45 mph and the Jaspers travel at 54 mph. How
long will it take the Jaspers to overtake the Postmans.
rate
39.
time
distance
Delectable Cookie Company sells chocolate chip cookies for $6.95 per pound and white chocolate
cookies for $5.95 per pound. How many pounds of chocolate chip cookies should be mixed with 4
pounds of white chocolate cookies to obtain a mixture that sells for $6.75 per pound?
40.
Express the relation as a table, graph, and mapping. Then determine the domain, range, and inverse.
{(4, 3), (1, 7), (1, 3), (2, 9)}
x
41.
42.
x
y
Domain:
{__________________}
Range:
{__________________}
Inverse:
{____________________________}
Write each of the following in standard form.
a.
-2x + 5y = 7
b.
6 – y = 2x
c.
1
x = 2y - 5
4
d.
3y = 9x + 12
Find the probability of each outcome if a computer randomly chooses a letter in the word
REPRESENTING.
a.
P(S)
b.
P(E)
c.
P(not N)
d.
P(R or P)
y
43.
Identify the graph that represents the following statement.
As the temperature increases, the number of cups of hot chocolate decreases.
Use the line graph for questions 55 and 56.
44.
How much more did a bushel of wheat cost in 1996 than in 1998?
45.
Describe why the graph is misleading.
Use the bar graph for questions 57 and 58.
46.
How many more people visited France than the United States?
47.
How many tourists visited Canada and the United States?
48.
Determine whether each relation is a function.
49.
W varies directly as v and w = 10 when z = 30. What is the value of w when z = 15.
50.
Identify the property listed in each of the following:
51.
2 a
× =1
a 2
a. 8 + (b + c) = (8 + b) + c
b.
c. 3m – 4 + 0 = 3m – 4
d. 28a + (-28a) = 0
e. (7xy)(3a)(1) = (7xy)(3a)
f. (2m + 1)(0) = 0
g. 4(x + y) = 4x + 4y
h. (x + y) + z = (y + x) + z
Write each set of numbers in order from least to greatest.
a.)
50, 7,
20
3
b.)
2
- 65, -6 ,- 27
5