Algebra 1 — Semester 1 Practice — Michigan Test Out™

Question 1 of 10

Michigan Standards 5A-5CMedium Calc Word Diagram

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

AInfinitely many solutions

BOne solution

CTwo solutions

DNo 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

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?

APositive correlation

BNegative correlation

CCannot determine

DNo 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 3 of 10

Michigan Standards 5A-5CMedium Calc Word Diagram

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

A(2, 3)

B(0, 1)

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 4 of 10

Michigan Standards 2A-2HEasy Calc Word Diagram

What is the slope of the line shown?

A1/2

D−1

Explanation

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

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

Question 5 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 = 30.10t

BC = 0.10(30 + t)

CC = 30t + 0.10

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 6 of 10

Michigan Standards 12A-12EEasy Calc Word

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

A11

B16

D13

Explanation

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

Question 7 of 10

Michigan Standards 2A-2HMedium Calc Word Diagram

Which line has a negative slope?

BBoth

DNeither

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

Michigan Standards 4A-4CEasy Calc Word Diagram

What type of correlation does this scatter plot show?

ANo correlation

BNegative

CPositive

DPerfect

Explanation

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

Question 9 of 10

Michigan Standards 3A-3GEasy Calc Word Diagram

Which graph represents y = 2x + 1?

ANeither

CBoth

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 10 of 10

Michigan Standards 12A-12EEasy Calc Word

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

A39

B37

C43

D35

Explanation

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

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