Algebra 1 Practice Test 1 NY Multiple Choice (2024)

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

Which choice is equivalent to

Algebra 1 Practice Test 1 NY Multiple Choice (1)

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

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]

Algebra 1 Practice Test 1 NY Multiple Choice (2)

[2]

Algebra 1 Practice Test 1 NY Multiple Choice (3)

[3]

Algebra 1 Practice Test 1 NY Multiple Choice (4)

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Algebra 1 Practice Test 1 NY Multiple Choice (5)

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. Three consecutive odd integers have a sum of -45. Which of the these three integers has the largest numeric value?

[1] -11 [2] -9 [3] -7 [4] -13

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?

Algebra 1 Practice Test 1 NY Multiple Choice (6)

[1] x² + 23x - 7 [2] x² + 13x - 7 [3] 7x² + 23x - 7 [4] 7x² + 13x - 7

11. Simplify:

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Algebra 1 Practice Test 1 NY Multiple Choice (8)

[2]

Algebra 1 Practice Test 1 NY Multiple Choice (9)

[3] [4]

12. What is the 30^th term of the arithmetic sequence 3,8,13, 18, 23, ...?

[1] 28 [2] 38 [3] 148 [4] 153

13. What is an equation of a line that passes through the points (-4,2) and (2,5)?

[1] y - 2 = 2(x - 4) [2] y - 5 = ½(x - 2) [3] y + 5 = ½(x + 2) [4] y - 2 = 2(x + 4)

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 ?

Algebra 1 Practice Test 1 NY Multiple Choice (12)

[1] 36% [2] 40% [3] 47% [4] 60%

16. A fungus attacks a forest of 180 elm trees. Each month after the attack, the living trees decrease by one-third. If x = time in months, and y = the number of living trees, which graph represents this situation ove 5 month?

[1]
[2]
[3]
[4]

Algebra 1 Practice Test 1 NY Multiple Choice (16)

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. Anna invests $200 compounded annually at a fixed rte of 12% for 4 years. What will be the amount in the account at the end of 4 years?

[1] $322.26 [2] $320.45 [3] $314.70 [4] $312.50

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 , where r is the radius and h is the height. Which formula may be used to find the height?

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Algebra 1 Practice Test 1 NY Multiple Choice (18)

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Algebra 1 Practice Test 1 NY Multiple Choice (19)

[3] [4]

Algebra 1 Practice Test 1 NY Multiple Choice (21)

21. Function g (x) is defined as: . 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?

[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