Algebra 1 — Semester A Practice

Question 1 of 10

TEKS 5A-5C Hard Calc Word

Solve: 2x + 3y = 13, 4x − y = 5

A (2, 3)

B (4, 1)

C (1, 4)

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 2 of 10

TEKS 5A-5C Hard Calc

Solve: 3x+4y=10, 2x−4y=−5

A (2, 1)

B (1, 2)

C (1, 1.75)

D (0, 2.5)

Explanation

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

Question 3 of 10

TEKS 2A-2H Easy Calc Word Diagram

What is the slope of the line shown?

A 1

B 2

C 1/2

D −1

Explanation

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

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

Question 4 of 10

TEKS 3A-3G Easy Calc Word Diagram

Which graph represents y = 2x + 1?

A B

B Both

C A

D Neither

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 5 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?

A C = 30 + 0.10t

B C = 30t + 0.10

C C = 30.10t

D C = 0.10(30 + t)

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 6 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?

A Cannot determine

B Negative correlation

C Positive correlation

D No 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 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 250

B 350

C 200

D 300

Explanation

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

Question 8 of 10

TEKS 2A-2H Medium Calc Word Diagram

Which line has a negative slope?

A B

B Neither

C Both

D A

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 9 of 10

TEKS 5A-5C Medium Calc Word Diagram

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

A (0, 1)

B (1, 2)

C (2, 3)

D (3, 0)

Explanation

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

Question 10 of 10

TEKS 5A-5C Medium Calc Word Diagram

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

A Infinitely many solutions

B One solution

C No solution

D Two solutions

Explanation

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

Systems with no solution are called 'inconsistent.'

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