B.E.S.T. Algebra 1 — EOC Practice

Question 1 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?

A2 sec

B3 sec

C1 sec

D4 sec

Explanation

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

Question 2 of 10

Florida standards 5A-5CMedium Calc Word Diagram

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

A(0, 1)

B(1, 2)

C(3, 0)

D(2, 3)

Explanation

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

Question 3 of 10

Florida standards 5A-5CMedium Calc Word Diagram

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

ANo solution

BInfinitely many solutions

COne solution

DTwo solutions

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 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 = 0.10(30 + t)

BC = 30t + 0.10

CC = 30 + 0.10t

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 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=3 or x=−1/2

Dx=5 or x=−3

Explanation

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

Question 6 of 10

Florida standards 6A-6CHard Calc Word

Complete the square: x² + 6x + ___ = (x + ___)²

A3, 9

B9, 3

C6, 3

D36, 6

Explanation

📌 Half of 6 = 3. Square it = 9.
x² + 6x + 9 = (x + 3)²

Question 7 of 10

Florida standards 7A-7CEasy Calc Word Diagram

Which graph represents a quadratic function?

ANeither

DBoth

Explanation

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

Question 8 of 10

Florida standards 5A-5CHard Calc

Solve: 3x+4y=10, 2x−4y=−5

A(2, 1)

B(1, 1.75)

C(1, 2)

D(0, 2.5)

Explanation

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

Question 9 of 10

Florida standards 3A-3GEasy Calc Word Diagram

Which graph represents y = 2x + 1?

BBoth

DNeither

Explanation

📌 y = 2x + 1:
• Slope = 2 (positive → goes UP)
• y-intercept = 1 (crosses y-axis above origin)
Graph A shows positive slope with y-intercept above origin.

Question 10 of 10

Florida standards 1A-1GMedium Calc Word

A car rental costs $25 per day plus $0.15 per mile. If the total cost is $70 for one day, how many miles were driven?

A250

B300

C350

D200

Explanation

📌 70 = 25 + 0.15m
45 = 0.15m
m = 300 miles

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