Algebra 1 — Semester 1 Practice — Michigan Test Out™

Question 1 of 10

Michigan Standards 12A-12EEasy Calc Word

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

A43

B37

C39

D35

Explanation

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

Question 2 of 10

Michigan Standards 3A-3GEasy Calc Word Diagram

Which graph represents y = 2x + 1?

ANeither

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 3 of 10

Michigan Standards 4A-4CMedium Calc Word Diagram

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

ANo correlation

BNegative correlation

CPositive correlation

DCannot determine

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 4 of 10

Michigan Standards 2A-2HMedium Calc Word Diagram

Which line has a negative slope?

ABoth

CNeither

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 5 of 10

Michigan Standards 12A-12EEasy Calc Word

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

A11

C13

D16

Explanation

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

Question 6 of 10

Michigan Standards 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 7 of 10

Michigan Standards 5A-5CMedium Calc Word Diagram

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

A(0, 1)

B(3, 0)

C(2, 3)

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 8 of 10

Michigan Standards 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 = 0.10(30 + t)

BC = 30t + 0.10

CC = 30.10t

DC = 30 + 0.10t

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 9 of 10

Michigan Standards 2A-2HEasy Calc Word Diagram

What is the slope of the line shown?

B−1

D1/2

Explanation

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

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

Question 10 of 10

Michigan Standards 4A-4CEasy Calc Word Diagram

What type of correlation does this scatter plot show?

APerfect

BPositive

CNegative

DNo correlation

Explanation

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

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