Algebra 1 — Semester A
Free Practice · 10 Questions · 20 min
20:00 Exit
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Question 1 of 10
TEKS 5A-5C Medium Calc Word Diagram
The system of equations is graphed below. How many solutions does it have? -6-4-2246-6-4-2246O
A Infinitely many solutions
B Two solutions
C No solution
D One 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 2 of 10
TEKS 5A-5C Hard Calc Word
Solve: 2x + 3y = 13, 4x − y = 5
A (4, 1)
B (3, 2)
C (2, 3)
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
TEKS 5A-5C Medium Calc Word Diagram
The graph shows two lines. What is the solution to the system? -6-4-2246-6-4-2246O
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 4 of 10
TEKS 1A-1G Easy 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? Monthly Phone PlanBase: $30 per monthEach text: $0.10
A C = 0.10(30 + t)
B C = 30 + 0.10t
C C = 30.10t
D C = 30t + 0.10
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
TEKS 2A-2H Easy Calc Word Diagram
What is the slope of the line shown? -6-4-2246-6-4-2246O
A 1
B 1/2
C 2
D −1
Explanation
📌 slope = rise/run = (3-(-1))/(2-(-2)) = 4/4 = 1

💡 Positive slope → line goes UP from left to right.
Question 6 of 10
TEKS 2A-2H Medium Calc Word Diagram
Which line has a negative slope? AB
A B
B A
C Neither
D Both
Explanation
📌 Negative slope = line goes DOWN from left to right (↘).
Positive slope = line goes UP from left to right (↗).
Graph B has negative slope.
Question 7 of 10
TEKS 1A-1G Medium 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?
A 300
B 350
C 200
D 250
Explanation
📌 70 = 25 + 0.15m
45 = 0.15m
m = 300 miles
Question 8 of 10
TEKS 5A-5C Hard Calc
Solve: 3x+4y=10, 2x−4y=−5
A (0, 2.5)
B (2, 1)
C (1, 1.75)
D (1, 2)
Explanation
📌 Add: 5x=5 → x=1. 3(1)+4y=10 → 4y=7 → y=7/4=1.75
Question 9 of 10
TEKS 4A-4C Medium Calc Word Diagram
The scatter plot shows the relationship between hours studied and test scores. What type of correlation is shown? Hours StudiedTest Score
A No correlation
B Negative correlation
C Cannot determine
D Positive 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 10 of 10
TEKS 3A-3G Easy Calc Word Diagram
Which graph represents y = 2x + 1? AB
A A
B Both
C Neither
D B
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.

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