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If the value of x is independent of the value of y,
is y the
dependent variable?
independent variable?
indirect variable? |
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In this equation
4a + 7 = b
Which variable is the dependent variable? |
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| b is the dependent variable |
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In this equation
2x – 3 = y
Which variable is the independent variable? |
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| x is the independent variable |
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As one variable increases, the other variable
decreases.
Are these variables related?
If so, directly or inversely? |
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| Yes, these are inversely related |
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The cords of firewood sold and the temperature outside.
Are these two things directly, inversely, or not related? |
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| These two things are inversely related |
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The hours one studies and the grades one receives on a test.
Are these two variables directly, inversely, or not related? |
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| These two variables are directly related |
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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. |
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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
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Write an algebraic expression for
Subtract the sum of x and 4 from 72. |
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Write an algebraic expression for
2 less than the product of 5 and a number. |
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Plot (-1, 6)
(Draw your own sketch)
What quadrant is this point in? |
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Plot (2, 4)
(Draw your own sketch)
What quadrant is this point in? |
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Plot (-8, -4)
(Draw your own sketch)
What quadrant is this point in? |
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Plot (5, -7)
(Draw your own sketch)
What quadrant is this point in? |
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Draw (on your own paper)
a scatter plot with no association. |
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Draw (on your own paper)
a scatter plot showing a positive association. |
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Draw (on your own paper)
a scatter plot showing a negative association. |
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What is the mean of this group?
{100, 76, 99, 85, 59, 88, 64, 99} |
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What is the mean of this group?
{9, 8, 15, 11, 16, 20, 13, 5, 13} |
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Definition
| The mean is approximately 12.22 |
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What is the median of this group?
{-6, 14, 18, -8, 14, -21, -13, 5} |
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Definition
| The median is -1/2 or -0.5 |
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What is the median of this group?
{-45, -12, -62, -50, -33, -29, -33, 0} |
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What is the mode of this group?
{0, -1, 2, -1, 3, 2, 1} |
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| There are two modes: -1 and 2 |
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What is the mode of this group?
{3, 4, 5, 1, 0, 2, 3, 6, 1, 1, 2, 5} |
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| Can't be done - not the same dimension |
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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 |
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Definition
a. 7 x 4a = 4a x 7
This is an example of the commutative property. |
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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 |
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Definition
b. (4a + 6) + 7 = 4a + (6 + 7)
This is an example of the associative property. |
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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 |
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Definition
a. 2(3 - d) = 6 - 2d
This is an example of the distributive property. |
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Simplify: -2 -2 Do NOT use your calculator! |
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Simplify
12
24 Do NOT use your calculator! |
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Definition
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Simplify:
17 - 2 – 2
3 Do NOT use your calculator! |
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Simplify: 6 x 22 x ( 8 – 6 ÷ 2) Do NOT use your calculator! |
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Simplify:
-(4 – (-2 – 4)) Do NOT use your calculator! |
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Simplify: 18 ÷ 9 x 3 Do NOT use your calculator! |
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Simplify: 2(3 + 4) ÷ 7 Do NOT use your calculator! |
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72 is 40% of what number? Do NOT use your calculator |
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12 is 20% of what number? Do NOT use your calculator! |
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36% of 25 is what number?
Do NOT use your calculator! |
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12 is what percent of 50? Do NOT use your calculator! |
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38 is what percent of 57? Do NOT use your calculator! |
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What is 65% of 12? Do NOT use your calculator! |
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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. |
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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. |
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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. |
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Definition
a. y = 4x + 6
b. y = 7
d. y = -0.5x – 47 These choices represent linear functions. |
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| The correct equation is choice a. |
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| The correct choice is equation b. |
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Definition
| The correct choice is equation c. |
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Definition
| The correct choice is equation d. |
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| 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. |
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Simplify
5(4x + 3) – 20x – 15 |
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Simplify
-2(7f + 5g – 4) + 3(4f + 3g – 2) |
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Solve
-5c + 3(2c + 1) = 2c – 1 |
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| 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? |
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Definition
| The probability that the first gumdrop is green is 1/7 (or approximately 14.3%) |
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| 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? |
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Definition
| The probability is 1/6 (or approximately 16.7%) |
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Write each number as a percentage, a decimal and as a fraction.
a. 45%
b. 0.18
c. 7/8
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a. 45%, 0.45, 9/20 b. 18%, 0.18, 9/50 c. 87.5%, 0.875, 7/8 |
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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. |
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Definition
a. constant b. variable c. variable d. variable e. constant |
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Evaluate if x = 2, y = 3, z = 7 4x – 3y + 49/z |
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Which school has twice as many students as School D? [image] |
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| School C has twice as many students as School D. |
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Solve
4.6x + 93.1 = 5.6 + 2.1x |
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Solve
-2x – 3 < 13 + 2(x – 6) |
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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.
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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.
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What is the range of possible values for the third side of these triangles? [image] |
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Does this line have a positive, negative, or nonexistent slope? [image] |
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Definition
| This line has a positive slope. |
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Does this line have a positive, negative, or nonexistent slope? [image] |
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Definition
| This line has a negative slope. |
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What is the slope of this line? [image] |
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Definition
| The slope of this line is m=3/4 |
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What is the slope of this line? [image] |
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Definition
| The slope of this line is m=2 |
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Match the sections. [image] |
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