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Name: ___________________________________
Period: _________
Date: ______________
Final Day/Date: __________________________
Algebra 1 Fall Semester Review
Students will be responsible for all information covered on this review as well
as all material covered thus far. I have provided a majority of the
concepts/topics covered this semester, but please take notice that not all are
included on this review (may be tested on all material covered throughout the
semester). It is the student’s responsibility to ensure that he/she prepares
accordingly for the success of the exam. Students will have 1 hour and 20
minutes to take and complete the exam on his/her scheduled day.
Topics Included on Review:
1. Associative, Commutative and Distributive Property; Identity and Inverse
2. Linear Equations and Inequalities (one-variable)
3. Linear Equations and Inequalities (two-variables)
4. Determining the Domain & Range of a Linear Function
5. Compound Inequalities (AND/OR)
6. Determining if a Relation is a Function
7. Function Notation
8. Literal Equations (solving for indicated variable)
9. Direct Variation
10. Transformations of Graphs of Linear Functions
11. Problems involving Slope-Intercept Form, Point-Slope Form, and Standard
Form
12. Determining slope/rate of change of a line
13. Writing equations of lines that are parallel and perpendicular to x-axis and
y-axis
Sample problems will be provided for practice in order listed above. (13 Sections)
Good Luck! 
Section 1.
7+2=2+7
6 + (2 + 11) = (6 + 2 ) + 11
5 (2 + 4) = 5 • 2 + 5 •4
(12 • 44) • 13 • 5= 12 • 44 • (13 • 5)
5 • 3 • 11 = 11 • 5 • 3
6 (3 +11+4) =6 • 3 + 6 •11+ 6 •4
Section 2.
For items 1 through 3, solve each equation. Then select the appropriate choice from the three
choices below the problem, and fill in that blank space for that choice only.
1. 4x + 2x +18 = 5x + x +18
A. There is one solution, and it is __________.
B. The equation is always true, because __________________________________.
C. The equation is never true, because ___________________________________.
2. 5(x ─ 2) = 6x + 20
A. There is one solution, and it is __________.
B. The equation is always true, because __________________________________.
C. The equation is never true, because ___________________________________.
3. 9(x ─ 3) = 9x + 15
A. There is one solution, and it is __________.
B. The equation is always true, because __________________________________.
C. The equation is never true, because ___________________________________.
Symbol
Meaning
Open or closed
Circle?
>
<
>
≤
Solve each inequality. Graph solution on a number line.
1. 2m + 7 > 17
2. 2x + 5 < 3x - 7
3.
2x  3
7
5

4. 5(2h – 6) – 7(h + 7) > 4h
Define a variable, write an inequality, and solve each problem. Then check your solution.
5. Two thirds of a number decreased by 27 is at least 9.
6. πx = ─2π
7. On January 22, 1943, the temperature in Spearfish, South Dakota, fell from 54 ̊F at 9:00 am to
-4 ̊F at 9:27 am. How many degrees did the temperature fall?
8. On page 11 in textbook, review how to find the value of variable and then find each angle
measure in a polygon.
Sections 3-4.
Domain and range (review notes of linear functions) pgs.90-95 in
textbook.
Linear Equations and Inequalities (chapters 1-2 in textbook for
clarification)
Section 5.
1. A number m is less than 10 or at least 20. Write this sentence as an inequality and graph on
number line.
2. A number x is more than -6 and at most 8. Write this sentence as an inequality and graph
on number line.
3. Solve 2y -3 ≤ -5 or 3y ─ 1 > 8. Graph solution.
4. Solve -1 ≤ -2d + 7 ≤ 9. Graph solution.
Section 6.
Determine whether the relation is a function. (may be given in a table, mapping, ordered
pairs, or graph )
1. { (6, 1), (4, 2), (6, -3), (2, 5) }
2. { (5, 8), (3, -2), (-2, -5), (0, 0)}
3.
x
y
-7
9
-3
11
-1
-8
6
8
-3
19
-9
-10
Section 7.
1. Which of the following statements is true about the statement f (5) = 12?
A. The point (5, 12) is on the graph of the function f.
B. The number 5 is an element of the range of f.
C. 12 would be the value of the independent variable, and 5 would be the value of
the dependent variable.
2. If f (x) = 3x ─ 2, what is the value of f (5)?
Section 8.
1. Jack wants to put a fence around his property. He knows that the perimeter of the fence
is given by the formula P = 2L + 2W. Solve this formula for W.
2. Gino knows that the formula for converting degrees Celsius (C) to degrees Fahrenheit (F)
9
is F = C + 32. Solve for C.
5
Section 9.
State whether the representation shows direct variation between x and y.
1.
What is the constant of variation for the following?
2. d = 4t
Section 10.
3. n = ½ f
Use graphs f and g to describe the transformation from the graph of f to the graph of g.
1. f(x) = 2 x + 1; g(x) = f(x) +3
2. f(x) = 2 x + 1; g(x) = f(x +3)
3. f(x) = 2 x + 1; g(x) = ─ f(x)
4. f(x) = 2 x + 1; g(x) = f(─ x)
1
5. f(x) = x ─ 1; g(x) = f ( x)
3
6. f(x) = x ─ 1; g(x) = 3 f(x)
Sections 11-12.
1. Find the slope of the line that passes through
a. (-2, 7) and (3, -3)
b. (-5, 9) and (-5, 3)
2. Find the slope and y intercept:
a. y = 5x – 6 m=____b=____
b. -4x + 6y = -30 m=_____ b=______
3. Find the equation of the line that passes through (0, -3) with a slope of 5
_________________________
4. Find the equation of the line that passes through (0, -5) with a slope of –2
______________________
5. Find the x and y intercepts:
a. 4x – 3y = 12
b. -2x + 7y = -28
6. Does (-3, 4) lie on the line y = 2x + 10? Show your work to prove it!!
Section 13.
1. Write the equation of the line that is parallel to the line y = – 5x + 4 and passes through the
point (1, 2).
2. Write an equation of a line that passes through (7, 10) and is perpendicular to the equation
y=
1
x – 9.
2
3. Write the equation of a line perpendicular to the x-axis and passes through the point
(-4, -7).
4. Write two equations in standard form that are equivalent to –9x – 12y = 6.