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​Algebra 1   State Test Practice

Find the mistake in solving the equation

12/14/2016

 
Consider this solution to a problem.
Problem:  -4(6 - y) + 4 = -4
Step 1:  -24 - 4y + 4 = -4
Step 2:  -20 - 4y = -4
Step 3:  -4y = 16
Step 4:  y = 4

Choose the number of the step where the first mistake was made.
​Then, solve the equation correctly.

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Solution to system of inequalities

12/11/2016

 
Which graph best represents the solution to the system?
x + y ≤ 6
​x + 2y ≤ 8
Picture

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Finding zeros of a function

12/10/2016

 
Several points are plotted on the graph.

Which of the plotted points on the graph represent 
the zeros of the function
f(x) = (x² + 2x - 8)(x - 6) ?   Select all that apply.
A.)  (2,0)
B.)  (6,0)
C.)  (0,-8)
D.)  (-4,0)
E.)  (-6,0)
F.)  (0,2)
G.)  (0,8)
Picture

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Find the rate

12/9/2016

 
The formula for the rate at which water is flowing is
         v
R =  ---  ,  where
         t

- R is the rate
- V is the volume of water, measured in gallons (g)
- t is the amount of time, in seconds (s), for which the water was measured

Select an appropriate measurement unit for rate:

A.)  gs

         g
B.)   ---
         s

         s
C.)   ---
         g

         1
D.)  -----
        sg

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Systems of equations for video game purchases

12/9/2016

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A store sells used and new video games.  New video games cost more than used video games.  All used video games cost the same.  All new video games cost the same.

Omar spent a total of $84 on 4 used video games and 2 new video games.  Sally spent a total of $78 on 6 used video games and 1 new video game.  Janet has $120 to spend.

Find the number of used video games Janet can purchase after she purchases 3 new video games.

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Distance, rate, time problem

12/9/2016

 
A train travels 250 miles at a constant speed (x), in miles per hour.
Enter an equation that can be used to find the speed of the train, if the time to travel 250 miles is 5 hours.

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Find the trigonometric ratio

12/4/2016

 
Consider the right triangle.
Picture
Enter the equivalent to sin (B).

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Solve the inequality

12/4/2016

 
Which inequality represents all possible solutions of  -6n < -12 ?
A.)  n < 72
B.)  n > 2
C.)  n < 2
​D.)  n > 72

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Simplifying an algebraic expression

12/3/2016

0 Comments

 
Enter an expression equivalent to:
(3x² + 2y² - 3x) + (2x² + y² - 2x) - (x² + 3y² + x)
​

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Factoring a difference of two squares

12/3/2016

 
Select the expression that is equivalent to m² - 25.
A.)  (m² - 10m + 25)
B.)  (m² + 10m + 25)
C.)  (m - 5)(m + 5)
D.)  (m - 5)²

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Algebra House
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