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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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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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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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Equivalent expressions

12/2/2016

 
Select all of the expressions that are equivalent to:
Picture
A.)  (3x² - y)²
B.)  (3x²)² - (y)²
C.)  9(x²)² - (y)²
D.)  (9x²)² - (y)²
​E.)  (3x² + y)(3x² - y)

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Multiplying binomials

12/2/2016

 
Which expression is equivalent to (2x² + 3)(x + 4) ?
A.)  2x³ + 12
B.)  2x² + 11x + 12
C.)  2x³ + 6x² + 4x + 12
D.)  2x³ + 8x² + 3x + 12

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