Algebra I & Concepts - Windsor C

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Algebra I & Concepts
Ch. 1 Test Review
Directions
1) Get out a sheet of paper, title it “Ch. 1 Test
Review”, and put your name on the paper!
2) Complete the questions on the slide. If you think
you will not finish all the questions, make sure
to hit a couple from each set
3) When the answers are revealed, check your
answers and see what you got correct, or what
mistakes you made.
4) If necessary, ask for help!
5) This will be turned in with your
homework/assignment sheet
Vocabulary: Match the vocabulary
word to the correct definition
1) Variable
2) Function
3) Domain
4) Range
5) Expression
a) An equation such that for every input
there is exactly one output
b) Terms that are being added or
subtracted
c) The output of a function
d) The input of a function
e) A symbol used to represent an
unknown value
Vocabulary: Match the vocabulary
word to the correct definition
1) Variable
2) Function
3) Domain
4) Range
5) Expression
a) An equation such that for every input
there is exactly one output
b) Terms in a mathematical sentence
that are being added or subtracted
c) The output of a function
d) The input of a function
e) A symbol used to represent an
unknown value
Answers: (1,e), (2,a), (3,d), (4,c), (5,b)
Functions
Which of the following graphs represent a
function? (Look at the red lines)
1)
2)
3)
Functions
Which of the following graphs represent a
function?
1)
2)
3)
Graph 3. It is the only one that does not fail the
Vertical Line Test
Functions
Which of the following tables does NOT represent a
function?
4
5
6
7
1) Input
2)
3)
Output
-1
0
1
2
Input
2
4
6
2
Output
3
2
3
4
Input
0
3
6
9
Output
2
4
6
8
Functions
Which of the following tables does NOT represent a
function?
1) Input
4
5
6
7
2)
3)
Output
-1
0
1
2
Input
2
4
6
2
Output
3
2
3
4
Input
0
3
6
9
Output
2
4
6
8
Table 2 because when the input is 2, there are two
different outputs
Write an algebraic expression for the
verbal phrase
1) The sum of a number x squared and 15
2) The quotient of a number x and 7
3) Five less than twice a number x
4) The difference of 3 times a number x and 6
Write an algebraic expression for the
verbal phrase
1) The sum of a number x squared and 15
x +15
2
2) The quotient of a number x and 7
x
7
3) Five less than twice a number x
2x – 5
4) The difference of 3 times a number x and 6
3x – 6
Write a verbal phrase for the algebraic
expression
1) 4x + 10
2) 7x 2 -12
3) 10
x
4) 8 – 2x
Write a verbal phrase for the algebraic
expression
1) 4x + 10 The sum of 4 times a number x and 10
2)
The difference of 7 times a number x
7x -12
squared and 12
2
10
3)
x
The quotient of 10 and a number x
4) 8 – 2x 8 is decreased by the product of 2 and a
number x
Solve using O.O.O.
You may want to write the problems down, they
disappear on the answer slide
Solve using O.O.O. Answers
37) 19
38) 32
39) 25
40) 11
41) 13
42) 44
43) 48
44) 144
45) 72
46) 184
47) 8
48) 152
Evaluate the expressions: Reduce all
fractions!
Evaluating the Expressions Answers
1)
2)
3)
4)
5)
6)
7)
8)
9)
53
29
35/8
7/2
11/6
19/3
1
49
0
Simplify: Distribute
1) 3(x + 2)
2) -4(x + 5)
3) – (x – 7)
4) 5(4x – 13)
5) 8(-2x + 5)
6) 4(-3x – 1)
Simplify : Distribute
1) 3(x + 2) = 3x + 6
2) -4(x + 5) = -4x – 20
3) – (x – 7) = -x + 7
4) 5(4x – 13) = 20x – 65
5) 8(-2x + 5) = -16x + 40
6) 4(-3x – 1) = -12x – 4
Simplify: Combine like terms
1) 5x + 7 + 3x – 4
2) 2x 2 + 9x + 4 + 6x 2 - 2x +17
3) 3x 3 - 5x 2 - x + 4 + x3 + 2x 2 + x - 2
4) -x – 6 – 3x – 1
Simplify: Combine like terms
1) 5x + 7 + 3x – 4 = 8x + 3
2) 2x 2 + 9x + 4 + 6x 2 - 2x +17 = 8x 2 + 7x + 21
3) 3x 3 - 5x 2 - x + 4 + x3 + 2x 2 + x - 2 = 4x3 - 3x 2 + 2
4) -x – 6 – 3x – 1 = -4x – 7
Simplify: Distribute and Combine Like
Terms
1) 4 – 5(2x + 7)
2) -7(4 – x) + 9x
3) -6x + 8(-3 + 4x)
4) 2(x – 4) + 3(x + 5)
5) 9(4 – 7x) – 3(2 + 5x)
6) -5(2x – 3) + 7(x – 1)
Simplify: Distribute and Combine Like
Terms
1) 4 – 5(2x + 7) = 4 – 10x – 35  -10x – 31
2) -7(4 – x) + 9x = -28 +7x + 9x 16x – 28
3) -6x + 8(-3 + 4x) = -6x – 24 + 32x  26x – 24
4) 2(x – 4) + 3(x + 5) = 2x – 8 + 3x + 15  5x + 7
5) 9(4 – 7x) – 3(2 + 5x) = 36 – 63x – 6 – 15x 
-78x + 30
6) -5(2x – 3) + 7(x – 1) = -10x + 15 +7x – 7 
-3x + 8
Plot and label the points on the Graph
A (5, 3)
B (-4, 1)
C (0, -7)
D (-3, -6)
E (2, -8)
F (6, 0)
Plot and label the points on the Graph
A (5, 3)
B (-4, 1)
C (0, -7)
D (-3, -6)
E (6, -8)
F (6, 0)
*B
*D *C
*A
*F
*E
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