Worksheets2025 Alg 1 Finals Study Guide
Total questions: 22
Worksheet time: 11mins
Name
Class
Date
1.
1. Which expression is equivalent to x² + 18x +81?
a)
A. (x + 10)(x + 8)
b)
B. (x +9)(x + 9)
c)
C. (x + 1) (x + 81)
d)
D. (x+3) (x+27)
2.
2. The quadratic function f is shown on the graph. Which of the following is NOT a true statement?
a)
A. The vertex is located at (-2, 0).
b)
B. The function has a minimum at -2.
c)
C. The y-intercept is located at (0, -2).
d)
D. The function has two zeros.
3.
3. Which of the following best describes the domain of the function on the graph below?
a)
A. y = 6
b)
B. -6 < x < 8
c)
C. -6 ≤ x ≤ 8
d)
D. x = 6
4.
4. Solve the equation by factoring.
a)
A. x = -4 and x = 10
b)
B. x = 8 and x = -5
c)
C. x = -10 and x = 4
d)
D. x = -8 and x = 5
5.
5.
a)
A.
b)
B.
c)
C.
d)
D.
6.
6.
a)
A. The graph has an asymptote at y = 0.
b)
B. The coordinates of the x-intercept are (8, 0).
c)
C. The coordinates of the y-intercept are (0, 1.2).
d)
D. The graph includes the point (3, 8.64).
7.
7. The graph shows the quadratic function b(x). Which of the following describes the interval of values where b(x) is decreasing?
a)
A. x > 3
b)
B. x < 3
c)
C. y < 6
d)
D. -1.5 < x < 6.5
8.
8. The graph of quadratic function h is shown on the grid. Which best represents the domain of h?
a)
A. -3 ≤ x ≤ 4
b)
B. All real numbers
c)
C. y ≤ 5
d)
D. None of the above
9.
9. Two students multiplied binomials as shown. Which student(s) multiplied correctly?
a)
A. Jeb only
b)
B. Isaiah only
c)
C. Both students multiplied correctly.
d)
D. Neither student multiplied correctly.
10.
10. Given the function h(x) = 5 – 2(x² – 18), which of the following is a true statement?
a)
A. h(-10) = -201
b)
B. h(-4) = 9
c)
C. h(0) = 52
d)
D. h(5) = -10
11.
11. Write an equation in slope-intercept form of the line that passes through the points (-6, 14) and (5, -41).
a)
A. y = 5x + 44
b)
B. y = 2x – 51
c)
C. y = -5x – 16
d)
D. y = -3x + 32
12.
12. The graph of a quadratic function is shown below. Which equation best represents the axis of symmetry?
a)
A. y = 4
b)
B. y = -1
c)
C. x = 4
d)
D. x = 2
13.
13. Find the solution set to the inequality below.
a)
A. w > -1
b)
B. w < -1
c)
C. w > 1
d)
D. w < 1
14.
14.
a)
A. The number of dragonflies increases at a rate of 50 each year.
b)
B. The number of dragonflies increases at a rate of 5% each year.
c)
C. There were 50 dragonflies in 2011.
d)
D. The number of dragonflies decreases at a rate of 5% each year.
15.
15. Three students wrote sequences. Which of the following is true?
a)
A. Only Josiah wrote an arithmetic sequence.
b)
B. Only Marco wrote a geometric sequence.
c)
C. Meredith and Marco wrote geometric sequences.
d)
D. All the students wrote arithmetic sequences.
16.
16. Which of the following is equivalent to the expression below?
a)
A. 7g² – 6g – 7
b)
B. -17g² – 6g + 7
c)
C. 60g² + 42g – 35
d)
D. -17g² – 10g – 7
17.
17. Which of the following does NOT have a slope of -3?
a)
A. The graph of y = -3x +5.
b)
B. The graph of y – 10 = -3(x + 12).
c)
C. The line that passes through the points (-3, 5) and (0, 4).
d)
D. The line that passes through the points (3, 2) and (7, -10).
18.
18. The numbers below represent a sequence. Which formula correctly represents the sequence?
a)
A.
b)
B.
c)
C.
d)
D.
19.
19. Zane poured water from a watering can into his garden. The graph represents the ounces of water in the can as a linear function of x, the number of seconds Zane had been pouring the water. Which best represents the range of the function?
a)
A. 16
b)
B. All real numbers
c)
C. All real numbers greater than or equal to 0 and less than or equal to 10
d)
D. All real numbers greater than or equal to 0 and less than or equal to 16
20.
20. Solve the equation.
a)
A. k = 3
b)
B. k = -4
c)
C. No solution
d)
D. All real numbers
21.
21. The table shows some of the points on the graph of an exponential function. Which function represents the relationship in the table?
a)
A.
b)
B.
c)
C.
d)
D.
22.
22. The parent function is f(x) = x². The graph of m(x) is a transformation of f(x). If the graph of f(x) is shifted 8 units to the left to create m(x), which of the following represents m(x)?
a)
A. m(x) = f(x – 8)
b)
B. m(x) = f(x + 8)
c)
C. m(x) = f(x) – 8
d)
D. m(x) = f(x) + 8
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