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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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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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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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0 Comments

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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Getting a quadratic equation from the x-intercepts

12/3/2016

 
The graph of a quadratic function f(x) intersects the x-axis at -3 and 5.  
What is a possible equation for f(x)?

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Solving a quadratic equation by factoring

12/3/2016

 
An equation is shown.

2x² - 5x - 3 = 0

​What value of x makes the equation true?

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Algebra House
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