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Three Consecutive Even Integers for the Sides of a Triangle

5/28/2021

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The lengths of the sides of a triangle are three consecutive even integers.  If the perimeter of the triangle
is 48 inches, what is the length, in inches, of the longest side?
A.)  12
B.)  14
C.)  16
D.)  18
​E.)  24

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Evaluate a Rational Expression

5/27/2021

 
When x = 1/2, what is the value of:

 8x - 3
--------
      x

A.)  1/2
B.)  2
C.)  5/2
D.)  5
E.)  10

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The graph represents which inequality?

5/24/2021

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The graph below represents which of the following inequalities?
Picture
A.)  x > 1
B.)  x < -1
C.)  x ≤ -1
D.)  x ≥ -1
E.)  -1 > x > 1

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Ladder Against a Building

5/24/2021

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A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder standing on concrete 7 feet from the base of the building.  If the top of the ladder slips down 4 feet, then the bottom of the ladder will slide out how many feet?
A.)  4 feet
B.)  5 feet
C.)  6 feet
D.)  7 feet
E.)  8 feet

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What is the value of the function?

5/22/2021

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Let a function of 2 variables be defined by f(a,b) = ab - (a - b).  What is the value of f(8,9)?
A.)  89
B.)  73
C.)  71
D.)  34
E.)  0

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How much is saved?

5/21/2021

 
Excluding sales tax, how much will you save if you purchase a $12.00 item that is on sale for 25% off?
​A.) $0.30
B.) $0.48
C.) $3.00
D.) $5.00
​E.) $9.00

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Describe the graph of the system

5/20/2021

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A system of linear equations is shown below.

                                    4y = 3x + 12
                                  -4y = -3x - 8
​
Which of the following describes the graph of the
system of linear equations in the standard (x,y) coordinate plane?
A.)  Two parallel lines with negative slope
B.)  Two parallel lines with positive slope
C.)  A single line with a negative slope
D.)  A single line with a positive slope
E.)  Two perpendicular lines

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Solve the equation for x

5/19/2021

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If 9 - x³ + 2 = 19, what is the value of x ?
A.)  -2
B.)  -1
C.)  2
D.)  3
​E.)  8

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Slopes of perpendicular lines

5/19/2021

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If two lines in the standard (x,y) coordinate plane are perpendicular, and the slope of one of the lines is -5/7, what is the slope of the other line ?
A.)  7/5
B.)  5/7
C.)  -5/7
D.)  -7/5
​E.)  -5

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Solving a system of equations

5/19/2021

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If 2x + 3y = 4  and  5x + 6y = 7,  what is the value of 8x + 9y ?
A.)  -10
B.)  -1
C.)  2
D.)  7
​E.)  10

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