Midterm Review Packet Algebra 1 Frye
Name_________________________
Due _________Exam Date________
Teacher___________Block______
STUDY AND REVIEW OFTEN IN SMALL CHUNKS, THIS STRATEGY HELPS IMPROVE
PERFORMANCE!! Use old quizzes,tests,notes, etc. along with IXL and this packet.
Show work where needed. Reference your notes, hw, reviews and tests/quizzes from each unit.
Unit 1 – Square and Cube Roots
1.
Evaluate :
2. Evaluate:
√64
3
√125
3. A baseball field has bases 90 feet apart, what is the area of the infield? (Correct units please)
4. A cube has a volume of 27 cubic inches. What is the length of each side?
5.) The
√97
is between which two consecutive integers?
and
6.) The
3
√−1067
is between which two consecutive integers?
and
7. Explain why √−64 is not possible but
8.
3
√−64 is possible.
Order the following numbers from least to greatest.
3
√−64
3
√425
3
√26
√48
−√100
√26
Simplify:
9.
√75
10.
√98𝑥 6
11.
√180𝑥 10 𝑦 9
Unit 2: Solving Equations
Write an algebraic expression or equation for each phrase or sentence.
12.
14.
The difference of twice a number and 7 is 30.
Simplify.
16.
4(x + 6)
20.
13. the quotient of 6 and a number, decreased by 3
6 times a number increased by 3
5 – 32 + 14
2+3
15. The product of six and a number cubed is at least twenty-four.
17.
6(x + 3)
18.
(x  7)
19.
21.
2x + 4(x  5)
22.
3x  5(x + 4)
23. ½ (6X - 10)
Solve each equation. Show all work.
24.
5x + 7 = 22
25.
26.
3
x  7 = 2
4
27.
28.
7(x + 4) + 2x = 46
29.
x(3x + 7)
3  2x = 13
1
2
x  2
4
3
3x – 7  8x = 18
Find the solution to each equation. If the equation has infinite solutions, please write MANY SOLUTIONS. If the
equation does not have a solution, please write NO SOLUTION. Otherwise, clearly show the value of x. Be sure
and check your answers! You may want to use another sheet of paper!!
30.
33.
6x + 3 = 5x  10
5x + 27 = 2x
31.
34.
5(x  3) = 8x
7x  (5) - 2x = 5x + 17
32.
35.
8x + 3x =  33
4x + 7 = ½ (8x + 12) + 1
36.
Write an equation given the area (A=lw) of the rectangle is 84 sq. feet then solve for x.
7
x+1
Literal Equations -solve for the given variable.
37. Given the formula for interest earned, I = prt, solve for t.
38. Using the equation in #37, if you deposited a principal of $5200 and earned $624 in interest at a rate of 3%,
how long did you keep the money in the bank?
Unit 3 – Statistics
1.50
Round to hundredths.
Circle
Directions: Please
e
39.
4.00
your answer!
MAD=
40. 𝜎 =
41.
𝜎2 =
42) The average score on a test was 75 with a standard deviation of 6. What is the z-score of a student who
scored a 70 on the test? Round to the tenth.
z-score=
43) Ben’s average yearly electric bill is $210 per month. If Ben’s last bill had a z-score of -1.5 and a standard
deviation of $8, what is the electric bill for the month ? Round to hundredths.
Average bill= $
44) The speed of a remote control car I got for my birthday is 28mph. When the toy company tested my car, the
researchers reported it had a z-score of 1.2, based on their data set for the cars tested with a standard deviation
of 0.8 mph. Using this information, what was the average speed of the cars tested in this set? Round to tenths.
Speed=
45) This table shows data on the number of dollars raised during a fundraiser for four different classes and for
one student in each class. Find the amount raised by each student. Round to hundredths.
Number of Dollars Raised
Mean for class
Standard Deviation
Student’s Z-score
Christi
66
4
2.8
Sai
78
9.5
0.5
Ryan
77
10
1.4
Tim
87
8
-2.5
Christi made _____________
Ryan made ____________
Sai made____________
Tim made ____________
__________ made the most.
46) The number of points two basketball teams scored is summarized in these box-and-whisker plots.
LA Lakers
20
30
40
50
60
70
80
90
100
Miami Heat
The Lakers scored a different number of points in each of the team’s 14 games.
The Heat scored a different number of points in each of the team’s 20 games.
What is the total number of games that the Celtics and Heat scored 80 or more points?
Round to whole numbers.
_________________________
Units 4 & 5: Functions & Graphing
47.
Choose the ordered pair that is a solution of 2x − 3y = 6.
A.
(5, 1)
B.
(0, 6)
C.
(4, 3)
D.
(6, 2)
48 & 49: Given the equation:
48. Find the x intercept
5x − 2y = 10
49.
Find the y intercept:
50.
What are the x and y-intercepts of the line shown on this graph?
Express as points.
51.
The bowling alley charged $4.50 per game (g) and a shoe rental fee of $3. Write an expression to model
the cost of bowling.
52. If your total charge was $21 for the night, how many games did you play? Use your expression in #57 to
write and equation and solve.
53.
Graph this equation using x/y intercepts:
3x − y = 6
x
y
0
0
54.
a. Find the slope of the line passing through the points (3, 8) and (−3, 5)
b. Find the slope of the line passing through the points (3 , −4) and (7, -4)
c. Find the slope of the line passing through the points (6, 10) and (6, 5)
55.
Name the slope of the line shown in the graph.
56.
Find the slope of the line from a table of points on the line:
57.
Name the slope of the graph of y = -5x + 8.
x
0
1
2
3
y
3
6
9
12
(Write in function form, meaning solve for y)
58.
Write in function form: 2y − 2x = 8
59.
Write in function form:
5x − y = 9
60 & 61: Graph each equation two ways. First, use the x/y table to find points to graph if the domain is -1,0,1.
Then use m and b to graph the equation. The graphs should look the same !!
60.
y = x − 3
x
x
graph using
m=_____b=_____
y
y = −2x + 1
61.
62.
graph using points from table
graph using points from table
y
Graph using the method of your choice.
2x - 3y = 6
graph using
m=_____b=_____
63.
Graph x = 2.
64. Graph y = -3
What is the slope?
What is the slope?
65. If f(x) = −5x + 2, find f(−2).
67. Given the function f(x) =
1
2
66. Find the range of f(x) = x + 2 given the domain {0, 1, 2}.
x – 3; find the value of x given the value of the function f(x) = 11.
68.
Consider this function: {(2, 3), (3, 4), (4, 5)}. Add a point so that the relation is no longer a function .
69.
Which graph represents a function? Why?
A.
B.
70. Name the zero(s) of the graph.
Inequalities
71. Solve the inequalities then graph on the number line.
a. x + 6 > 1
b. -2y + 4 ≥ 19
c. 2(f – 6) < 2f - 1 + 13
C.
D.
72. Graph the inequalities.
a. y > - ½ x + 3
b.
d. y > 2
6x + 3y > 12
c. 2x – 5y > 30
e. -5 > x
Unit 6: WRITING THE EQUATION OF LINES given the following information.
The formula for slope-intercept form is:
The formula for point-slope is:
73. Write the equation of the line in slope-intercept form with slope -3 and y-intercept (0,4)
Slope-intercept form:
1
74. passes through (2, -4); m= − 2
Point-slope form:
75. passes through (-3, 5) and (-1, 6)
Slope-intercept form:
Point-slope form:
Given the table of values.
76.
x
0
y
-12
1
-5
2
2
3
9
Slope-intercept form:
Write two equations of a line in slope intercept form that pass thru the given point, one parallel and one perpendicular.
1
76. (9, -2); 𝑦 = 3 𝑥 − 6
Parallel:
Perpendicular:
STUDY AND REVIEW OFTEN IN SMALL CHUNKS, THIS STRATEGY HELPS IMPROVE PERFORMANCE!!