📌 Find two numbers that multiply to 6 and add to 5: 2 and 3. (x + 2)(x + 3)
Question 2 of 10
Florida standards 5A-5CHard Calc Word
Solve: 2x + 3y = 13, 4x − y = 5
A(3, 2)
B(2, 3)
C(4, 1)
D(1, 4)
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 3 of 10
Florida standards 4A-4CMedium Calc Word Diagram
The scatter plot shows the relationship between hours studied and test scores. What type of correlation is shown?
ANegative correlation
BCannot determine
CPositive correlation
DNo correlation
Explanation
📌 Points trend upward from left to right → positive correlation. As hours studied increases, test score increases. The trend line slopes upward → positive relationship.
Question 4 of 10
Florida standards 6A-6CMedium Calc Word
Use the quadratic formula for x² − 4x + 3 = 0
Ax = 1, 3
Bx = 2, 4
Cx = −1, −3
Dx = 0, 4
Explanation
📌 a=1, b=−4, c=3. x = (4 ± √(16−12))/2 = (4±2)/2 → x=3 or x=1
Question 5 of 10
Florida standards 5A-5CHard Calc
Solve: 3x+4y=10, 2x−4y=−5
A(2, 1)
B(1, 2)
C(0, 2.5)
D(1, 1.75)
Explanation
📌 Add: 5x=5 → x=1. 3(1)+4y=10 → 4y=7 → y=7/4=1.75
Question 6 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?
A200
B300
C350
D250
Explanation
📌 70 = 25 + 0.15m 45 = 0.15m m = 300 miles
Question 7 of 10
Florida standards 6A-6CMedium Calc Word Diagram
The parabola in the graph below has a vertex at which point?
A(1, -2)
B(0, 0)
C(2, 1)
D(-1, 2)
Explanation
The vertex is the lowest point of an upward-opening parabola, marked at approximately (1, -2).
Question 8 of 10
Florida standards 6A-6CHard Calc Word
Use quadratic formula: 2x²−5x−3=0
Ax=2 or x=−3
Bx=5 or x=−3
Cx=3 or x=−1/2
Dx=−3 or x=1/2
Explanation
📌 x=(5±√(25+24))/4=(5±7)/4. x=3 or x=−1/2
Question 9 of 10
Florida standards 6A-6CHard Calc Word
Complete the square: x² + 6x + ___ = (x + ___)²
A6, 3
B36, 6
C3, 9
D9, 3
Explanation
📌 Half of 6 = 3. Square it = 9. x² + 6x + 9 = (x + 3)²
Question 10 of 10
Florida standards 2A-2HMedium Calc Word Diagram
Which line has a negative slope?
AB
BA
CNeither
DBoth
Explanation
📌 Negative slope = line goes DOWN from left to right (↘). Positive slope = line goes UP from left to right (↗). Graph B has negative slope.