Name_________________________________
Study Guide for Algebra 1 Midterm
Evaluate the expression for the given values of the variables.
1.
when a
3
when a = –4
2.
Evaluate.
3. 4[44 (10 8) 2 ] 7
4.
6. Is 5 a solution to 10x 4
20 ?
Tell whether the pairing is a function.
Translate.
9.
5.
7.
Input
1
2
3
4
Output
20
21
21
22
“Five is less than a number x divided by 7.”
11. Graph the function y
x 4 , for domain
8.
10.
15. Volume of a Cone:
13.
Solve for h.
Output
10
15
20
25
“The perimeter P of a square is less than
or equal to four times the difference of a
number n and 5.
2 x 5
Simplify.
12.
Input
5
10
10
20
14.
Solve the equation.
16.
17.
18.
19.
20.
21.
5
x
6
15
22.
A local gym charges nonmembers $10 per day. Members pay a yearly fee of $80 and $4 per day to use the gym.
Write and solve an equation to find how many days you must use the gym justify becoming a member.
23.
Rewrite the equation so that y is a function of x.
24.
Graph the equation.
25.
Find the x and y –intercept of
3x 6 y
24
Then graph the equation using the intercepts.
26.
Find the y-intercept.
27.
Find the slope of the line passing through the points.
28.
Find the value of y so that the line passing through the two points has the given slope.
29.
Takeru “The Tsunami” Kobyashi eats 4 Nathan’s hot dogs in 2 minutes and 56 in 12 minutes.
Over the time interval given, calculate the rate of change.
30.
31.
The variables x and y vary directly. Use the given values to write an equation that relates x and y.
Graph the equation.
32.
Decide whether the graphs of the two functions are parallel lines.
33.
A music store sells CDs for $12.99 each.
a. Write a rule for the cost of CDs as a function of the number of
CDs purchased.
b. Let the domain equal 0, 1, 2, and 3. Make a table and identify
the range.
34.
Which equation has infinitely many solutions?
Which has no solutions?
35.
Write
36.
State the x- and y-intercepts of the line with the
equation
.
37.
Determine the slope of
the line graphed.
Write the equation of the line between the two points:
38. (2, 4),( 8, 4)
39. ( 3, 6), (3,15)
41.
Rewrite the equation
in slope-intercept form.
43.
Determine if the line
as a function of x.
40.
42.
( 1,3), ( 1, 7)
Find the slope and y-intercept of the line
with the equation
.
is parallel, perpendicular or neither, to the line
.
44.
In the equation y =
, does y vary directly with x?
45. True or False:
Graph the equation
equations always contain the point (0, 0).
46.
Let
48.
What is the value of the function
when
?.
50.
For the given data set -2, 8, 12, -7, 10, 3 find:
a. the mean
b. the variance
51.
The graphs of direct variation
Find x when
47.
Compare the graph with the graph of
to the parent function f ( x) x .
49.
Find the value of x so that g ( x)
When g ( x) 2 x 6 .
14
c. standard deviation
A set of data has mean of 33 and a standard deviation of 4. Assuming the distribution is normal, draw and label a
normal bell curve. What is the percentage if the data would fall between:
a.
29 and 37
b.
25 and 41
c.
21 and 45
e.
above 37
f.
below 33
g.
between 25 and 37
h.
What number would produce a z-score of zero?
d. 29 and 45
52.
You scored an 82 on your statistics test. The mean for the class was 85 and the standard deviation was 3.4.
a. Calculate you z-score.
b. Mark where you z-score falls on a bell curve.
c. Within how many deviations of the mean is your score?
53.
95% of the students scored between 85 and 95 on a science test. The data is normally distributed.
What is the standard deviation?
54.
200 students took a Check up. How many scored with 1 standard deviation of the mean?
55.
You took a test and earned a z-score of 2.5. The mean for the test was 79 and the standard deviation was 6.
What was your raw score?
56.
The triangle has a perimeter = 36. Solve for x.
2x+2
57.
( y 1)
Graph the equation
Point:__________
Slope:__________
2x+2
x
58.
Write the equation of a line that passes through the point (4,-2) and has a slope of
59.
Write the equation of the line parallel to the given line and through point (-4,4).
1
.
2
2
( x 4)
3
60.
Write the equation of the line graphed in slope-intercept and standard form.
61.
Find the zero of the function f ( x)
62.
Use the graph to answer the following questions.
a. Function?
YES
2 x 10
NO
a. Domain:________________
c. Range: _________________
63.
d.
f ( 2) = __________________
e.
What is x if f ( x)
f.
What is the zero of the function?_______
6 ? ______
Use the box and whisker plot to answer the following:
a.
What percent of the population score above 7?
b.
What percent scored between 5 and 9?
c.
What percent below 9?