Algebra 1 — Semester A Practice

Question 1 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 Two solutions

D No 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 3A-3G Easy Calc Word Diagram

Which graph represents y = 2x + 1?

A B

B Both

C Neither

D A

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 3 of 10

TEKS 2A-2H Easy Calc Word Diagram

What is the slope of the line shown?

A 2

B 1/2

C −1

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 12A-12E Easy Calc Word

What is the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...?

A 43

B 35

C 39

D 37

Explanation

📌 Common difference d = 7 − 3 = 4
a_n = a_1 + (n−1)d = 3 + (10−1)(4) = 3 + 36 = 39

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 = 30t + 0.10

B C = 30 + 0.10t

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 5A-5C Medium Calc Word Diagram

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

A (0, 1)

B (2, 3)

C (1, 2)

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 7 of 10

TEKS 2A-2H Medium Calc Word Diagram

Which line has a negative slope?

A Both

B A

C Neither

D B

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 8 of 10

TEKS 12A-12E Easy Calc Word

If f(x) = 2x + 5, what is f(3)?

A 16

B 11

C 13

D 8

Explanation

📌 f(3) = 2(3) + 5 = 6 + 5 = 11
Function notation: replace x with 3.

Question 9 of 10

TEKS 4A-4C Easy Calc Word Diagram

What type of correlation does this scatter plot show?

A Positive

B No correlation

C Negative

D Perfect

Explanation

📌 Points trend downward from left to right → negative correlation.
As x increases, y decreases.

Question 10 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 Positive correlation

C No correlation

D Negative 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.

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