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Algebra I Semester 1 Review
Review for Semester Final (HRW Text)
78
Mathematics
9th Grade
06/19/2008

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Cards

Term
If the value of x is independent of the value of y,
is y the

dependent variable?
independent variable?
indirect variable?
Definition
Dependent Variable
Term
In this equation

4a + 7 = b

Which variable is the dependent variable?
Definition
b is the dependent variable
Term
In this equation

2x – 3 = y

Which variable is the independent variable?
Definition
x is the independent variable
Term
As one variable increases, the other variable
decreases.

Are these variables related?

If so, directly or inversely?
Definition
Yes, these are inversely related
Term
The cords of firewood sold and the temperature outside.

Are these two things directly, inversely, or not related?
Definition
These two things are inversely related
Term
The hours one studies and the grades one receives on a test.

Are these two variables directly, inversely, or not related?
Definition
These two variables are directly related
Term
Which one(s) of the following are constant?  Which are variable(s)?

The temperature outside when you leave school.
The number of centimeters in a meter.
The age of a grandmother.
The number of eggs in a dozen.
The number of items in a bag of groceries.
Definition

The temperature outside when you leave school - variable
The number of centimeters in a meter. - constant
The age of a grandmother - variable

The number of eggs in a dozen - constant

The number of items in a bag of groceries - variable

Term
Write an algebraic expression for

Subtract the sum of x and 4 from 72.
Definition
72 – (x + 4)
Term
Write an algebraic expression for

2 less than the product of 5 and a number.
Definition
5x – 2
Term
Plot (-1, 6)  

(Draw your own sketch)

What quadrant is this point in?
Definition
[image]
Term
Plot (2, 4)

(Draw your own sketch)

What quadrant is this point in?
Definition
[image]
Term
Plot (-8, -4)

(Draw your own sketch)

What quadrant is this point in?
Definition
[image]
Term
Plot (5, -7)

(Draw your own sketch)

What quadrant is this point in?
Definition
[image]
Term
Draw (on your own paper)
a scatter plot with no association.
Definition
[image]
Term
Draw (on your own paper)
a scatter plot showing a positive association.
Definition
[image]
Term
Draw (on your own paper)
a scatter plot showing a negative association.
Definition
[image]
Term
[image]
Definition
No association.
Term
[image]
Definition
Positive association
Term
[image]
Definition
Negative association
Term
What is the mean of this group?

{100, 76, 99, 85, 59, 88, 64, 99}
Definition
The mean is 83.75
Term
What is the mean of this group?

{9, 8, 15, 11, 16, 20, 13, 5, 13}
Definition
The mean is approximately 12.22
Term
What is the median of this group?

{-6, 14, 18, -8, 14, -21, -13, 5}
Definition
The median is -1/2 or -0.5
Term
What is the median of this group?

{-45, -12, -62, -50, -33, -29, -33, 0}
Definition
The median is -33
Term
What is the mode of this group?

{0, -1, 2, -1, 3, 2, 1}
Definition
There are two modes: -1 and 2
Term
What is the mode of this group?

{3, 4, 5, 1, 0, 2, 3, 6, 1, 1, 2, 5}
Definition
The mode is 1
Term
[image]
Definition
[image]
Term
[image]
Definition
Can't be done - not the same dimension
Term
[image]
Definition
[image]
Term
Which is an example of the commutative property?

a. 7 x 4a = 4a x 7

b. 12 x 4 = 48

c. 7(3 + a) = 21 + 7a
Definition
a. 7 x 4a = 4a x 7

This is an example of the commutative property.
Term
Which is an example of the associative property?

a. 4a + 4b = 4(a + b)

b. (4a + 6) + 7 = 4a + (6 + 7)

c. 2 x 3 = 3 x 2
Definition
b. (4a + 6) + 7 = 4a + (6 + 7)

This is an example of the associative property.
Term
Which is an example of the distributive property?

a. 2(3 - d) = 6 - 2d

b. 2 + (6 + 4a) = (2 + 6) + 4a

c. 4 + 8a = 8a + 4
Definition
a. 2(3 - d) = 6 - 2d

This is an example of the distributive property.
Term

Simplify:

 

     -2

     -2

 

Do NOT use your calculator!

Definition
1
Term

Simplify

     12
    24

 

Do NOT use your calculator! 

Definition
 1
2
Term

Simplify:

           17 - 2    –  2
  3

 

Do NOT use your calculator! 

Definition
3
Term

Simplify: 

 

6  x  22 x ( 8 – 6 ÷ 2)

 

Do NOT use your calculator! 

Definition
120
Term

Simplify:

 -(4 – (-2 – 4))

 

Do NOT use your calculator! 

Definition
-10
Term

Simplify:

 

18 ÷ 9 x 3

 

Do NOT use your calculator! 

Definition
6
Term

Simplify:

 

2(3 + 4) ÷ 7

 

Do NOT use your calculator! 

Definition
2
Term

72 is 40% of what number?

 

Do NOT use your calculator 

Definition
180
Term

12 is 20% of what number?

 

Do NOT use your calculator! 

Definition
60
Term

36% of 25 is what number?
   

Do NOT use your calculator! 

Definition
9
Term

12 is what percent of 50?

 

Do NOT use your calculator! 

Definition
24%
Term

38 is what percent of 57?

 

Do NOT use your calculator! 

Definition
66 2/3% or 66.67%
Term

What is 65% of 12?

 

Do NOT use your calculator! 

Definition
7.8
Term
[image]
Definition
[image]
Term
[image]
Definition
[image]
Term
[image]
Definition
This is NOT a function because it does not pass the "vertical line test."  Note that when x=0, there would be two values for y.
Term
[image]
Definition
Yes, this is a function.  This passes the "vertical line test."  For each value of x, there is only one value of y that goes with it.
Term
Which of the following are linear functions?

                a.    y  =  4x  + 6
                b.    y  =  7
                c.    y  =  -x2 + 12
                d.    y  =  -0.5x  – 47
                e.    y  =  1/x + 8
 
Choose all that represent linear functions.
Definition
                a.    y  =  4x  + 6
                b.    y  =  7
                d.    y  =  -0.5x  – 47
 
These choices represent linear functions. 
Term
[image]
Definition
The correct equation is choice a.
Term
[image]
Definition
The correct choice is equation b.
Term
[image]
Definition
The correct choice is equation c.
Term
[image]
Definition
The correct choice is equation d.
Term
[image]
Definition
No, this is not a function because when x=1, the value for y is not always the same.  Sometimes y=3, while sometimes y=13.
Term
Simplify

5(4x + 3) – 20x – 15
Definition
0
Term
Simplify

-2(7f + 5g – 4) + 3(4f + 3g – 2)
Definition
-2f - g + 2
Term
Solve


3x + 15 = 18
Definition
x = 1
Term
Solve


2x + 4 = 6.2
Definition
x = 1.1
Term
Solve


10 – 6a  = 7
Definition
a = 1/2 or a = 0.5
Term
Solve


-5c + 3(2c + 1) = 2c – 1
Definition
c = 2
Term
Susie bought gumdrops at the candy store.  Six out of 42 gumdrops were green.  What is the probability that the first gumdrop Susie pulls out of the bag is green?
Definition
The probability that the first gumdrop is green is 1/7 (or approximately 14.3%)
Term
You are playing a board game.  You roll one die when it is your turn. You need a four to win.  What is the probability that you will roll a four?
Definition
The probability is 1/6 (or approximately 16.7%)
Term
Write each number as a percentage, a decimal and as a fraction.

                        a.  45%

                        b.  0.18

                        c.  7/8
Definition
a.  45%, 0.45, 9/20
 
b.  18%, 0.18, 9/50
 
c.  87.5%, 0.875, 7/8 
Term
Which of the following are constants and which are variables?

        a.  The number of centimeters in a meter.
        b.  The temperature when you leave school.
        c.  The age of a grandmother.
        d.  The price of a sweater at Macy's.
        e.  The number of eggs in a dozen.
Definition
a. constant
b. variable
c. variable
d. variable
e. constant 
Term

Evaluate if x = 2, y  = 3, z = 7

 

4x  – 3y  +  49/z

Definition
6
Term

Which school has twice as many students

as School D?

[image]

Definition
School C has twice as many students as School D.
Term

Solve:

 

10 = 4/(x + 2)

Definition
x = -8/5 or  x = -1.6
Term
Solve


4.6x + 93.1 = 5.6 + 2.1x
Definition
x = -35
Term
Solve


3(x + 7) = 2(x + 9)
Definition
x = -3
Term
Solve


-2x  – 3 <  13 + 2(x – 6)
Definition
x > -1
Term

Solve:

 

4/5d + 2/3 ≥ 1/5

Definition
d ≥ -7/12
Term
Which of these side measurements can form a triangle?

                    a.  4 ft., 8 ft., 12 ft.
                    b.  9 ft., 12 ft., 18 ft.
                    c.  2 in., 2 in., 3 in.
                    d.  5 m., 5m., 5m.
                    e.  1 in., 1 in., 3 in.
Definition

The following can form triangles:

 

                    b.  9 ft., 12 ft., 18 ft.
                    c.  2 in., 2 in., 3 in.
                    d.  5 m., 5m., 5m.
Term

What is the range of possible values for the third side of these triangles?

 

[image]

 

Definition

2 < x < 10

and

11 < y < 33 

Term

Does this line have  a positive, negative, or nonexistent slope?

 

[image]

Definition
This line has a positive slope.
Term

Does this line have  a positive, negative, or nonexistent slope?

 

 [image]

Definition
This line has a negative slope.
Term

What is the slope of this line?

 

 [image]

Definition
The slope of this line is m=3/4
Term

What is the slope of this line?

 

[image]

Definition
The slope of this line is m=2
Term

Match the sections.

 

[image]

Definition

A=33%

B=40%

C=17%

D=10%

 

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