Algebra 1 — Semester A Practice

Question 1 of 7

TEKS 3A-3G Easy Calc Word Diagram

Which graph represents y = 2x + 1?

A A

B Both

C B

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 2 of 7

TEKS 1A-1G Easy Calc Word

A store sells notebooks for $3 each. If you have $21, how many notebooks can you buy?

A 7

B 6

C 8

D 9

Explanation

📌 21 ÷ 3 = 7 notebooks
This is a division problem: total money ÷ price per item.

Question 3 of 7

TEKS 5A-5C Medium Calc Word Diagram

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

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 7

TEKS 12A-12E Easy Calc Word

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

A 35

B 37

C 43

D 39

Explanation

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

Question 5 of 7

TEKS 2A-2H Easy Calc Word Diagram

What is the slope of the line shown?

A 2

B 1

C −1

D 1/2

Explanation

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

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

Question 6 of 7

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 No correlation

C Positive 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.

Question 7 of 7

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 = 30.10t

C C = 30 + 0.10t

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.

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