Algebra 1 — Semester A Practice

Question 1 of 10

TEKS 5A-5CMedium Calc Word Diagram

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

ATwo solutions

BNo solution

COne solution

DInfinitely many solutions

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 2A-2HMedium Calc Word Diagram

Which line has a negative slope?

BNeither

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.

Question 3 of 10

TEKS 1A-1GEasy 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?

AC = 30t + 0.10

BC = 30 + 0.10t

CC = 30.10t

DC = 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 4 of 10

TEKS 3A-3GEasy Calc Word Diagram

Which graph represents y = 2x + 1?

BNeither

DBoth

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-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?

A300

B200

C250

D350

Explanation

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

Question 6 of 10

TEKS 5A-5CHard Calc

Solve: 3x+4y=10, 2x−4y=−5

A(1, 1.75)

B(2, 1)

C(0, 2.5)

D(1, 2)

Explanation

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

Question 7 of 10

TEKS 5A-5CHard Calc Word

Solve: 2x + 3y = 13, 4x − y = 5

A(3, 2)

B(4, 1)

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 8 of 10

TEKS 2A-2HEasy Calc Word Diagram

What is the slope of the line shown?

A−1

D1/2

Explanation

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

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

Question 9 of 10

TEKS 5A-5CMedium Calc Word Diagram

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

A(0, 1)

B(2, 3)

C(3, 0)

D(1, 2)

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 4A-4CMedium Calc Word Diagram

The scatter plot shows the relationship between hours studied and test scores. What type of correlation is shown?

APositive correlation

BCannot determine

CNo correlation

DNegative 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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