Algebra 1 — Semester A
Free Practice · 10 Questions · 20 min
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Question 1 of 10
Massachusetts 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? Monthly Plan$30+ $0.10/textC = ?t = number of texts
AC = 30 + 0.10t
BC = 0.10(30 + t)
CC = 30.10t
DC = 30t + 0.10
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 2 of 10
Massachusetts 1A-1GMedium Calc Word Diagram
Simplify the expression: 8x³y² ÷ 2xy 8x³y²÷2xy= ?
A4x²y
B4xy
C6x²y
D4x²y²
Explanation
Divide coefficients: 8 ÷ 2 = 4. Subtract exponents of like bases: x^(3-1) = x², y^(2-1) = y. Result: 4x²y.
Question 3 of 10
Massachusetts 3A-3GEasy Calc Word Diagram
Which graph represents y = 2x + 1? AB
AA
BB
CBoth
DNeither
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 4 of 10
Massachusetts 5A-5CMedium Calc Word Diagram
The graph shows two lines. What is the solution to the system? xyy=x+1y=-x+3
A(3, 0)
B(1, 2)
C(2, 3)
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 5 of 10
Massachusetts 12A-12EEasy Calc Word
What is the 10th term of the arithmetic sequence: 3, 7, 11, 15, ...?
A37
B39
C35
D43
Explanation
📌 Common difference d = 7 − 3 = 4
a_n = a_1 + (n−1)d = 3 + (10−1)(4) = 3 + 36 = 39
Question 6 of 10
Massachusetts 12A-12EEasy Calc Word

A mobile data plan charges a flat $5 per month plus $2 for each gigabyte used. The total monthly cost can be modeled by the linear function:

f(x) = 2x + 5, where x = gigabytes used.

If a customer uses 3 GB this month, what does f(3) tell us their bill will be?

A$8 — 2 + 5 + 3·0 = 8
B$13 — (2 + 3)(5 − 4) + 8 = 13
C$16 — 2 × 3 × 5 ÷ 2 + 1 = 16
D$11 — 2(3) + 5 = 6 + 5
Explanation
Function notation f(3) means *"evaluate the function at x = 3"*. Replace every x in the expression with 3, then simplify using order of operations:

f(3) = 2(3) + 5 = 6 + 5 = $11.

Real-world reading: at 3 GB, the bill is the $5 flat fee plus $2 × 3 = $6 of data charges = $11 total.

Why the distractors fail: each one applies the wrong operation order or invents extra terms. Always do multiplication (2 × 3) BEFORE addition when evaluating a linear function.
Question 7 of 10
Massachusetts 1A-1GEasy Calc Word
A store sells notebooks for $3 each. If you have $21, how many notebooks can you buy?
A8
B9
C7
D6
Explanation
📌 21 ÷ 3 = 7 notebooks
This is a division problem: total money ÷ price per item.
Question 8 of 10
Massachusetts 4A-4CEasy Calc Word Diagram
What type of correlation does this scatter plot show? xy
APerfect
BPositive
CNegative
DNo correlation
Explanation
📌 Points trend downward from left to right → negative correlation.
As x increases, y decreases.
Question 9 of 10
Massachusetts 4A-4CMedium Calc Word Diagram
The scatter plot shows the relationship between hours studied and test scores. What type of correlation is shown? Hours StudiedTest Score
ACannot determine
BPositive correlation
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.
Question 10 of 10
Massachusetts 3A-3GMedium Calc Word Diagram
Which inequality is represented by the shaded graph? shaded
Ay > x + 1
By ≤ x + 1
Cy < x + 1
Dy ≥ x + 1
Explanation
📌 Dashed line = strict inequality (< or >, not ≤ or ≥).
Shaded below the line → y < mx + b.
Line appears to be y = x + 1, shaded below → y < x + 1.

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