Algebra 1 — Semester B Practice

Question 1 of 10

TEKS 11A-11B Easy Calc

Simplify: x³ · x⁴

A 2x⁷

B x¹²

C x⁷

D x¹

Explanation

📌 Same base → add exponents: x³⁺⁴ = x⁷

Question 2 of 10

TEKS 9A-9C Easy Word

Which represents exponential growth?

A y = 3x + 2

B y = x²

C y = 2/x

D y = 2ˣ

Explanation

📌 Exponential growth: y = a·bˣ where b > 1. y = 2(3)ˣ has b = 3 > 1.

Question 3 of 10

TEKS 7A-7C Easy Calc Word

The vertex of y = (x − 3)² + 2 is:

A (3, −2)

B (−3, 2)

C (3, 2)

D (2, 3)

Explanation

📌 Vertex form: y = a(x−h)² + k. Vertex = (h, k) = (3, 2).

Question 4 of 10

TEKS 7A-7C Easy Calc Word Diagram

Which graph represents a quadratic function?

A Both

B B

C Neither

D A

Explanation

📌 Quadratic = U-shaped parabola. Graph A shows a parabola.
Graph B is a straight line → linear, not quadratic.

Question 5 of 10

TEKS 1A-1G Easy Calc

Solve: x² = 64

A −8 only

B 32

C ±8

D 8 only

Explanation

📌 x = ±√64 = ±8. Don't forget the negative root!

Question 6 of 10

TEKS 8A-8B Easy Calc

Discriminant = 0 means:

A exactly one real solution

B two real solutions

C no real solutions

D cannot determine

Explanation

📌 D = 0 → exactly ONE real solution (the parabola touches the x-axis at one point).

Question 7 of 10

TEKS 10A-10E Easy Word Diagram

A rectangular vegetable garden has a length of (x + 7) feet and a width of (x + 3) feet. Which polynomial represents the area of the garden in square feet?

A x² + 4x + 21

B 2x + 10

C x² + 10x + 21

D x² + 21

Explanation

Area = length × width = (x + 7)(x + 3). Use FOIL: x·x + x·3 + 7·x + 7·3 = x² + 3x + 7x + 21 = x² + 10x + 21. Choice A only multiplies the first and last terms (skips the middle). C is the perimeter formula 2(L + W) wrongly applied. D mixes up the middle coefficient.

Question 8 of 10

TEKS 12A-12E Easy Calc Word

What is the 5th term of geometric sequence: 2, 6, 18, ...?

A 54

B 108

C 486

D 162

Explanation

📌 r = 3. a₅ = 2·3⁴ = 2·81 = 162

Question 9 of 10

TEKS 6A-6C Medium Calc Word Diagram

The parabola in the graph below has a vertex at which point?

A (2, 1)

B (-1, 2)

C (1, -2)

D (0, 0)

Explanation

The vertex is the lowest point of an upward-opening parabola, marked at approximately (1, -2).

Question 10 of 10

TEKS 12A-12E Easy Calc

f(x) = x² + 1. Find f(−2).

A −3

B 5

C 3

D −5

Explanation

📌 f(−2) = (−2)² + 1 = 4 + 1 = 5

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