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95 Cards in this Set
- Front
- Back
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A letter used to represent one or more numbers.
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variable
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The base of 4^6
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4
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The exponent of 5^2
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2
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The name of type of expression that looks like: 2^3
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power
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Rules established by mathematicians to evaluate expressions with more than one operation.
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order of operations
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Explain each step of PEMDAS
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Parentheses first, exponents next, multiplication/division next and addition/subtraction last.
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This is formed when an equal sign is placed between two expressions.
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An equation
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This is formed when a comparative symbol such as > or < is placed between two expressions.
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inequality
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A rule that establishes are relationship between two quantities where the input can have exactly one output.
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function
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Evaluate the expression when b = 12: b/4
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12
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Evaluate the expression when x = 3
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4x^2
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Evaluate (6 + 2^2)/18 - 2 x 3
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5/6 or .83 (3 repeating)
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Graph X > 4
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see graphs
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Graph x < -2
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see graphs
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You are given money to buy juice for your club. Each juice bottle costs $.75. Write an equation to model this situation. Define variables.
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x = number of juice bottles
y = total cost y = $.75x |
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All possible input values (often labeled x)
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domain
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All possible output values (often labeled y)
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range
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Write the verbal phrase as an algebraic expression: five less then eight to the fourth power.
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8^4 - 5
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Make an input-output table for the function y = x^2 + 4. Use -1, 0, 1 and 2 for the domain.
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(-1, 5), (0,4) (1, 5), (2, 8)
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The counting numbers, their negatives and 0.
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Integers
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All rational and irrational numbers.
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real numbers
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The point labeled (0,0).
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origin
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Distance between the origin and the point representing a real number.
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absolute value
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Two points that are the same distance from the origin but on different sides of the origin.
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opposites
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Express -2 as an absolute value.
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|-2|
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|3|=
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3
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This shows a statement is not true by providing a single instance when it is not true.
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counterexample
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True or False. For |x|; x is never negative.
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False
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2/3 + 7/8 = (fraction answer)
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37/24
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8/9 - 2/5 = (fraction answer)
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22/45
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7/4 * 9/2 = (fraction answer)
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31/3
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(5/9) / (3/7) = (fraction answer)
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35/27
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Evaluate the expression when p = 4: (5/6)p + 2 (exact answer)
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16/3
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Write the verbal sentence as an inequality: nine more than three fourths of y is less than six times w
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3/4y + 9 < 6w
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Solve 8^4 - 5 =
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4091
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Give an example of the commutative property of addition
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a + b = b + a
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Give an example of the identity property of multiplication
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a * 1 = a
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Find the sum: -8 + 15
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7
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Solve: -23 + 4 =
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19
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The yearly profits for a bakery are: 2009 = $12,291.56, 2010 = -$1,290.54, 2011 = 21,390.36. What is the total profit/loss?
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$32,391.38
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(-4)(-7) =
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28
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(5)(-9)=
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-45
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51/-17=
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-3
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-66/-11=
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6
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Give an example of the distributive property
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a(b + c) = ab + ac
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Simplify by combining terms:
x^2 + 2x + x(4 + x) |
2x^2 + 6x
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Last year it snowed 7 days, was sunny 20 days and was cloudy 8 days. What is the probability it will snow?
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7/35 or 20%
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There red and white marbles in a bag. There are 8 red marbles and 40 marbles total. What are the odds you will pick a white marble?
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32:8 or 4:1
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Solve the equation: y - 7 = -10
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y = -3
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Solve the equation:
(4/5)c - 12 = -32 |
c = -25
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Solve the equation:
6m - 3 = 10 - 6(2 - m) |
no solution
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Solve the equation:
24a - 8 - 10a = -2(4 - 7a) |
all real numbers
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12 - 4h = -18 + 11h
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h = 2
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One tomato plant is 12" and grows 1 1/2 "/week. Another is 6" tall and grows 2"/week. When will they be the same height?
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12 weeks
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One tomato plant is 12" and grows 1 1/2 "/week. Another is 6" tall and grows 2"/week. Write the algebraic model/define variable.
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x= time
12 + 1.5x = 6 + 2x |
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Rewrite the equation V = 2(pi)rh so that h is a function of V
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h = V/(2(pi)r)
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A cab driver receives 15% of the fare charged as tip. To earn $30 in tips how much does he need to collect in fares?
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$200
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This is formed by two real number lines that intersect at right angles.
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coordinate plane
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Each point in the coordinate plane corresponds to a pair of real numbers called:
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ordered pair
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Show a coordinate plane with the quadrants labeled.
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see graphs
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Plot the point (-4,2). Label your graph
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see graphs
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Plot the point (-5, -3) Label your graph
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see graphs
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What are the x and y intercepts of 4x - 5y = 40?
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x-intercept = (10,0)
y-intercept = (0,-8) |
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What is the slope of a line passing through the points (2,4) and (5,0)
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-4/3
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If x and y vary directly and x is 4 and y is -18. Write an equation that relates x and y.
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y = -4.5x
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Graph the line -x + 6y = -24
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see graphs (0,-4), (24,0)
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Evaluate the function
f(x) = -x - 4 when x = 6 |
f(x) = -10
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Does this set of numbers represent a function?
(0,9), (1,7), (7,9), (2,2) |
yes, all the inputs have unique outputs.
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What is the domain of the function:
(14 + x)/(2x - 3) |
all real numbers except x = 3/2
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What is the general form of a linear equation in slope intercept form?
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y = mx + b
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What is the general form of a linear equation in point slope form?
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(y - y1) = m (x - x1)
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What is the general form of a linear equation in standard form?
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Ax + By = C with either A or B not equal to zero and A, B and
C real numbers. |
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What is the general equation of a vertical line?
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x = b
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What is the general equation of a horizontal line?
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y = a
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What is the slope of a line parallel to y = -1/5x + 7
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-1/5
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What is the slope of a line that is perpendicular to y = -7x + 10
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1/7
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What is the equation for slope?
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m = (y1 - y2)/(x1 - x2)
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Write the equation of a line in slope intercept form that passes through (-3,2) with m = -1
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y = -x - 1
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Write the slope intercept form of an equation of the line that passes through (1,8), (-2, -1)
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y = 3x + 5
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Write the equation in point slope form of the line that passes through (-2,3), (5,0)
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(y-3) = -3/7(x + 2)
OR y = -3/7(x - 5) |
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Write in standard form with integer coefficients:
y = 3/4x + 1/2 |
-3x + 4y = 2
OR 3x - 4y = -2 |
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Gumballs are $.25/piece and chocolate drops are $.40/piece. You have $3.50. Write an equation in standard form to model how much of each you can buy. Define variables.
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x = # of gumballs
y = # of chocolate drops .25x + .40y = 3.50 |
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Plot the line y = 3x + 5.
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see graphs
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Plot: x > -2
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see graph
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A number multiplied by a variable in a term.
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coefficient
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Term with no variable factors.
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constants
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A rule that establishes a relationship between two quantities where each input has exactly one output.
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function
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Terms that have the same variable raised to the same power.
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like-terms
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Rules established to evaluate an expression involving more than one operation.
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order of operations or PEMDAS
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Solve:
3 + 4 * 6 - 8/2 |
23
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Measures rate of change
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slope
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Measures steepness of a line.
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slope
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The product of a number and its reciprocal.
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1
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A letter that is used to represent one or more numbers.
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variable
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Write the verbal phrase for
2y + 4 |
Two times a number plus four
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