B.E.S.T. Algebra 1 — EOC Practice

Question 1 of 10

Florida standards 5A-5CHard Calc

Solve: 3x+4y=10, 2x−4y=−5

A(0, 2.5)

B(1, 1.75)

C(1, 2)

D(2, 1)

Explanation

📌 Add: 5x=5 → x=1. 3(1)+4y=10 → 4y=7 → y=7/4=1.75

Question 2 of 10

Florida standards 1A-1GEasy Calc Word Diagram

A cell phone plan charges $30 per month plus $0.10 per text. Which equation represents the monthly cost C for t texts?

AC = 30 + 0.10t

BC = 30t + 0.10

CC = 0.10(30 + t)

DC = 30.10t

Explanation

📌 Fixed cost = $30 (base monthly charge)
Variable cost = $0.10 per text = 0.10t
Total: C = 30 + 0.10t

💡 This is a linear equation in slope-intercept form: y = mx + b where m = 0.10 and b = 30.

Question 3 of 10

Florida standards 5A-5CMedium Calc Word Diagram

The system of equations is graphed below. How many solutions does it have?

ATwo solutions

BInfinitely many solutions

CNo solution

DOne solution

Explanation

📌 The lines are parallel (same slope, different y-intercepts).
Parallel lines NEVER intersect → NO solution.

Systems with no solution are called 'inconsistent.'

Question 4 of 10

Florida standards 7A-7CEasy Calc Word Diagram

Which graph represents a quadratic function?

BBoth

CNeither

Explanation

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

Question 5 of 10

Florida standards 6A-6CHard Calc Word

Use quadratic formula: 2x²−5x−3=0

Ax=2 or x=−3

Bx=3 or x=−1/2

Cx=5 or x=−3

Dx=−3 or x=1/2

Explanation

📌 x=(5±√(25+24))/4=(5±7)/4. x=3 or x=−1/2

Question 6 of 10

Florida standards 5A-5CMedium Calc Word Diagram

The graph shows two lines. What is the solution to the system?

A(3, 0)

B(2, 3)

C(1, 2)

D(0, 1)

Explanation

📌 The solution is where the lines intersect = (1, 2).
Verify: y = x + 1 → 2 = 1 + 1 ✓
y = −x + 3 → 2 = −1 + 3 ✓

Question 7 of 10

Florida standards 1A-1GMedium Calc Word

A ball is thrown upward. Its height is h = −16t² + 48t. When does it hit the ground?

A4 sec

B1 sec

C2 sec

D3 sec

Explanation

📌 h = 0: −16t² + 48t = 0 → t(−16t + 48) = 0 → t = 0 or t = 3 seconds

Question 8 of 10

Florida standards 5A-5CHard Calc Word

Solve: 2x + 3y = 13, 4x − y = 5

A(4, 1)

B(1, 4)

C(2, 3)

D(3, 2)

Explanation

📌 From eq2: y = 4x − 5
Substitute: 2x + 3(4x−5) = 13 → 2x + 12x − 15 = 13 → 14x = 28 → x = 2
y = 4(2) − 5 = 3

Question 9 of 10

Florida standards 2A-2HEasy Calc Word Diagram

What is the slope of the line shown?

C1/2

D−1

Explanation

📌 slope = rise/run = (3-(-1))/(2-(-2)) = 4/4 = 1

💡 Positive slope → line goes UP from left to right.

Question 10 of 10

Florida standards 1A-1GEasy Calc

A square garden has an area of 64 square feet. If the side length is x feet, the relationship is x² = 64.

The algebra gives two mathematical solutions, but only one makes physical sense as a side length. Which choice gives BOTH algebraic solutions AND correctly identifies the physical side length?

Ax = ±8 algebraically; the garden's side length is +8 ft

BOnly x = 8 — that's the only solution to x² = 64

COnly x = −8, because squaring a negative gives a positive

Dx = 32, because half of 64 is the side length

Explanation

Taking the square root of both sides gives x = ±√64 = ±8, because both (+8)² = 64 AND (−8)² = 64. In pure algebra you must report both roots. For the physical garden, length can't be negative, so only +8 ft applies in context — but the algebraic answer set is {−8, +8}.

Common mistakes: (A) Dropping the negative root entirely. (D) Dividing 64 by 2 instead of taking a square root.

Tip: when you see x² = N, always write x = ±√N first, then decide which roots fit the real-world context.

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