Algebra 1 — Semester B
Free Practice · 8 Questions · 180 min
180:00
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Question 1 of 8
TEKS 12A-12E
Easy
Calc
Word
What is the 5th term of geometric sequence: 2, 6, 18, ...?
A
486
B
108
C
162
D
54
Explanation
📌 r = 3. a₅ = 2·3⁴ = 2·81 = 162
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Question 2 of 8
TEKS 11A-11B
Easy
Calc
Simplify: x³ · x⁴
A
x¹²
B
x⁷
C
2x⁷
D
x¹
Explanation
📌 Same base → add exponents: x³⁺⁴ = x⁷
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Question 3 of 8
TEKS 6A-6C
Easy
Calc
Solve: x² − 9 = 0
A
9
B
−9
C
3 only
D
±3
Explanation
📌 x² = 9 → x = ±3. This is a difference of squares: (x+3)(x−3) = 0.
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Question 4 of 8
TEKS 8A-8B
Medium
Calc
Word
A rocket's height is h = −5t² + 30t. Maximum height?
A
60
B
45
C
90
D
30
Explanation
📌 t = −b/(2a) = −30/(2·(−5)) = 3. h(3) = −5(9)+30(3) = −45+90 = 45
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Question 5 of 8
TEKS 9A-9C
Easy
Word
Which represents exponential growth?
A
y = 2/x
B
y = x²
C
y = 2(3)ˣ
D
y = 3x + 2
Explanation
📌 Exponential growth: y = a·bˣ where b > 1. y = 2(3)ˣ has b = 3 > 1.
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Question 6 of 8
TEKS 10A-10E
Easy
Calc
Word
Simplify: (3x² + 2x) + (x² − 5x)
A
4x² − 3x
B
4x² + 3x
C
3x⁴ − 3x
D
4x² + 7x
Explanation
📌 Combine like terms: (3x² + x²) + (2x − 5x) = 4x² − 3x
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Question 7 of 8
TEKS 1A-1G
Easy
Calc
Solve: x² = 64
A
8 only
B
±8
C
−8 only
D
32
Explanation
📌 x = ±√64 = ±8. Don't forget the negative root!
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Question 8 of 8
TEKS 7A-7C
Easy
Calc
Word
Diagram
Which graph represents a quadratic function?
A
B
A
B
B
A
C
Neither
D
Both
Explanation
📌 Quadratic = U-shaped parabola. Graph A shows a parabola.
Graph B is a straight line → linear, not quadratic.
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