Algebra 1 section of MathBitsNotebook.com

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Practice Test 1 - CCSS Algebra 1
Interactive Version - Multiple Choice

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Directions:  Choose the best answer.  Answer ALL questions (or only a few at a time), then use the BUTTON at the BOTTOM of the page to check your answers.  If you are told that an answer is incorrect, go back and redo that question and CHECK ANSWERS again.   You may CHECK ANSWERS at any time. You may use your graphing calculator when working on these problems.

1.  Which choice represents the solution(s) to the equation (x - 4)2 = 3x - 12 ?

[1]   x = 7 only [2]  x = -7 only [3]  x = 7, x = 4 [4]  x = -7, x = -5



2. 
Which choice is equivalent to
T12a?

[1]  4a2c [2]  4a3c-1 [3]  4a5c5 [4]  2a3c-1
 


3. 
Which expression is NOT equivalent to 32x + 28y ?
[1] 4(8x + 7y) [2] 4(5x + 7y + 3x) [3] 30(2x - 2y) [4] 2(16x + 14y)
 


4. 
At which point does the function y = -x2 + 6x - 5 reach its maximum value?

[1] (3,4) [2] (-3,4) [3] (1,4) [4] (4,3)
 


5. 
Which table represents a linear relationship?

[1] tablechart4 [2] tablechart3 [3] tablechart2 [4] tablechart1
 


6. 
The slope of a line is ½ and the y-intercept is 4. Which choice is the x-intercept of this line?

[1] -8 [2] 8 [3] -4 [4] 4
 


7. 
For which function defined by a polynomial, are the zeros of the polynomial -2 and -7?

[1] y = x2 + 9x - 14 [2] y = x2 - 9x + 14 [3] y = x2 + 9x + 14 [4] y = x2 - 9x - 14
 


8. 
Let x and y be numbers such that 0 < x < y < 1, and let d = x - y. Which graph could represent the location of d on the number line?

[1] line1 [2] line2
[3] line3 [4] line4
 


9. 
If h (x) = 2x2 + 3x + 1, find h (-2).

[1] 15 [2] -13 [3] 3 [4] -3
 


10.  In the diagram at the right, the dimensions of the large rectangle are (3x - 1) by (3x + 7) units. The dimensions of the cut-out rectangle are x by 2x + 5 units. Which choice expresses the area of the shaded region, in square units?
t110
[1] x2 + 23x - 7 [2] x2 + 13x - 7 [3] 7x2 + 23x - 7 [4] 7x2 + 13x - 7
 


11. 
Given y = 2x2 - 10x. Find all real values of x for which y = -3.

[1] 10a [2] 10b [3] 10c [4] 10d
 


12. 
Given the equations 2x + y = 1 and y = x + 7. Find the value of x - y.

[1] -7 [2] 7 [3] -5 [4] 5
 


13. 
A sequence is defined recursively by: f (1) = 4; f (n) = f (n-1) + 3n. Find f (5).

[1] 16 [2] 24 [3] 33 [4] 46
 


14. 
The expression x4 - 9 is equivalent to

[1] (x2 - 3)(x2 - 3) [2] (x2 + 3)(x2 - 3) [3] (x2 + 3)(x2 + 3) [4] (x2 + 1)(x2 - 9)


15.  A two-way frequency table is shown at the right. What is the marginal relative frequency of the number of students ages 14-17 ?
t15
[1] 36% [2] 40% [3] 47% [4] 60%
 


16. 
Which graph represents the function T16 on the interval T162?

[1]16g1 [2]162 [3]16g3 [4]16g4
 


17. 
What is the average rate of change between f (1) and f (5) in the function f (x) = x2 - x - 6 ?

[1] -6 [2] -5 [3] 5 [4] 14
 


18. 
The expression 17a is equivalent to

[1]17aa [2]17b [3]17c [4]17d
 


19. 
Which ordered pair is not in the solution set of the system y < 2x + 4 and y > (½)x - 3 ?

[1] (3,2) [2] (0,0) [3] (-1,-3) [4] (1,6)
 


20. 
The volume of a cone is 20, where r is the radius and h is the height. Which formula may be used to find the height?

[1] 20a [2] 20b [3] 20d [4] 20c
 


21. 
Function g (x) is defined as:
21T. Find g(-2).

[1] 1 [2] 6 [3] -4 [4] 4
 


22. 
A model rocket is launched vertically from a platform 64 feet above the ground. The height the rocket reaches during the flight is modeled by the equation s(t) = -16t2 + 48t + 64, where s is the height of the rocket and t is the time in seconds since the launch. After how many seconds will the rocket hit the ground?

[1] 1 [2] 2 [3] 3 [4] 4
 


23. 
What is the range of the function y = | x | - 3 ?

[1] { y | y > -3 } [2] { x | x > 3 } [3]{ y | y > 0 } [4] All Reals

 

24.  Which of the following statements is true regarding the parabolic graph at the right?
24T
[1] it is increasing from -2 to ∞
[2] it is increasing from -4 to ∞
[3] it is increasing from - ∞ to -2
[4] it is increasing from - ∞ to -4