This comprehensive Algebra 1 quiz is aligned with U.S. Common Core standards and covers essential topics including compound inequalities, functions, graph analysis, scatter plots, transformations, and arithmetic & geometric sequences. Students receive instant scoring and detailed feedback to help strengthen foundational algebra skills required for high-school success.

Algebra 1 — Common Core Interactive Quiz (Aviate Learning)

🧠 Algebra 1 — Common Core Interactive Quiz

Practice Common Core Algebra I topics: inequalities, functions, graphs, scatter plots, transformations & sequences. Instant scoring • Topic breakdown • Handy tips ✨

Common Core — Algebra 1

24 questions • Time: self-paced ⏱️

Auto scoring • Printable results 📄

Progress

🔗 Compound inequalities

1) Solve: `−3 ≤ x` and `x < 5`

x < −3 or x > 5 −3 ≤ x < 5 x ≤ −3 and x ≥ 5 No solution

2) Solve: `x + 1 < 0` or `x − 3 > 0`

−1 < x < 3 x = −1 or x = 3 x ≤ −1 and x ≥ 3 x < −1 or x > 3

3) Rewrite and solve: `−2 < x` and `x ≤ 1`

−2 < x ≤ 1 x ≤ −2 or x > 1 x < −2 or x ≤ 1 No solution

4) Solve: if `x − 4 ≥ 0`

x < 4 x ≤ 4 x ≥ 4 x = 0

📈 Functions & graphing

5) Which graph fails the vertical line test (not a function)?

A line y = 2x + 1 A parabola y = x² A circle x² + y² = 4 An exponential y = 2^x

6) If `f(x) = 2x + 1`, what is `f(3)`?

7 6 3 0

7) Which equation is a line with slope −1 and y-intercept 2?

y = x + 2 y = −x + 2 y = 2x − 1 y = −2x + 1

8) For `f(x) = √(x + 5)`, what is the domain?

x < −5 x > −5 x ≤ −5 x ≥ −5

🧩 Scatter plots & correlation

9) If taller students tend to lift heavier weights, the scatter plot shows:

Positive correlation Negative correlation No correlation Causation (always)

10) True or false: A correlation always means one variable causes the other.

True — correlation = causation True sometimes — if r > 0.5 False — correlation does not imply causation Only when sample size is > 100

11) A point far away from a cluster in a scatter plot is called:

Trend Outlier Median Line of best fit

12) The best straight line summarising a linear scatter plot is called:

Histogram Box plot Dot plot Line of best fit

🌀 Transformations of graphs

13) `y = f(x) + 3` moves the graph of `f(x)`:

Left by 3 Up by 3 Right by 3 Down by 3

14) `y = −f(x)` is a:

Horizontal stretch Vertical translation Horizontal reflection Reflection in the x-axis

15) `y = f(x − 2)` moves the graph of `f(x)` how?

Right by 2 Left by 2 Up by 2 Down by 2

16) `y = 3 f(x)` behaves as a:

Horizontal stretch by 3 Vertical shrink by 3 Vertical stretch by 3 Horizontal reflection

🔢 Sequences — Arithmetic & Geometric

17) Sequence `3, 7, 11, 15, ...` is:

Geometric with ratio 4 Arithmetic, common difference 4 Geometric with ratio 1/4 Harmonic

18) If arithmetic sequence has first term `2` and common difference `6`, what is the 4^th term?

12 14 8 20

19) Sum of first `n` terms of an arithmetic sequence with first = `5` and last = `25` is:

Sₙ = (n/2)(5 + 25) Sₙ = 5n + 25 Sₙ = 30n Sₙ = 5(25ⁿ)

20) Which formula gives the `n`^th term of an arithmetic sequence?

aₙ = a₁ × r⁽ⁿ−¹⁾ aₙ = a₁ ÷ n aₙ = a₁ + (n−1)d aₙ = a₁ⁿ

21) `2, 6, 18, 54, ...` is a:

Arithmetic sequence Geometric sequence, r = 3 Fibonacci sequence Harmonic sequence

22) Formula for `n`^th term of a geometric sequence is:

aₙ = a₁ + (n−1)d aₙ = a₁ × n aₙ = a₁ × r⁽ⁿ−¹⁾ aₙ = (a₁)ʳ

23) For geometric sequence `2, 4, 8, 16, ...` what is the 3^rd term?

8 6 4 16

24) Infinite geometric series with first term `a` and ratio `r` (|r| < 1) sums to:

a × r / (1 − r) a(1 − rⁿ) / n a + r a / (1 − r)

🧠 Algebra 1 — Common Core Interactive Quiz

🔗 Compound inequalities

1) Solve: `−3 ≤ x` and `x < 5`

2) Solve: `x + 1 < 0` or `x − 3 > 0`

3) Rewrite and solve: `−2 < x` and `x ≤ 1`

4) Solve: if `x − 4 ≥ 0`

📈 Functions & graphing

5) Which graph fails the vertical line test (not a function)?

6) If `f(x) = 2x + 1`, what is `f(3)`?

7) Which equation is a line with slope −1 and y-intercept 2?

8) For `f(x) = √(x + 5)`, what is the domain?

🧩 Scatter plots & correlation

9) If taller students tend to lift heavier weights, the scatter plot shows:

10) True or false: A correlation always means one variable causes the other.

11) A point far away from a cluster in a scatter plot is called:

12) The best straight line summarising a linear scatter plot is called:

🌀 Transformations of graphs

13) `y = f(x) + 3` moves the graph of `f(x)`:

14) `y = −f(x)` is a:

15) `y = f(x − 2)` moves the graph of `f(x)` how?

16) `y = 3 f(x)` behaves as a:

🔢 Sequences — Arithmetic & Geometric

17) Sequence `3, 7, 11, 15, ...` is:

18) If arithmetic sequence has first term `2` and common difference `6`, what is the 4^th term?

19) Sum of first `n` terms of an arithmetic sequence with first = `5` and last = `25` is:

20) Which formula gives the `n`^th term of an arithmetic sequence?

21) `2, 6, 18, 54, ...` is a:

22) Formula for `n`^th term of a geometric sequence is:

23) For geometric sequence `2, 4, 8, 16, ...` what is the 3^rd term?

24) Infinite geometric series with first term `a` and ratio `r` (|r| < 1) sums to:

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Algebra , Functions and Sequences Mastery Quiz for Us common core

🔗 Compound inequalities

1) Solve: −3 ≤ x and x < 5

2) Solve: x + 1 < 0 or x − 3 > 0

3) Rewrite and solve: −2 < x and x ≤ 1

4) Solve: if x − 4 ≥ 0

📈 Functions & graphing

5) Which graph fails the vertical line test (not a function)?

6) If f(x) = 2x + 1, what is f(3)?

7) Which equation is a line with slope −1 and y-intercept 2?

8) For f(x) = √(x + 5), what is the domain?

🧩 Scatter plots & correlation

9) If taller students tend to lift heavier weights, the scatter plot shows:

10) True or false: A correlation always means one variable causes the other.

11) A point far away from a cluster in a scatter plot is called:

12) The best straight line summarising a linear scatter plot is called:

🌀 Transformations of graphs

13) y = f(x) + 3 moves the graph of f(x):

14) y = −f(x) is a:

15) y = f(x − 2) moves the graph of f(x) how?

16) y = 3 f(x) behaves as a:

🔢 Sequences — Arithmetic & Geometric

17) Sequence 3, 7, 11, 15, ... is:

18) If arithmetic sequence has first term 2 and common difference 6, what is the 4th term?

19) Sum of first n terms of an arithmetic sequence with first = 5 and last = 25 is:

20) Which formula gives the nth term of an arithmetic sequence?

21) 2, 6, 18, 54, ... is a:

22) Formula for nth term of a geometric sequence is:

23) For geometric sequence 2, 4, 8, 16, ... what is the 3rd term?

24) Infinite geometric series with first term a and ratio r (|r| < 1) sums to:

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1) Solve: `−3 ≤ x` and `x < 5`

2) Solve: `x + 1 < 0` or `x − 3 > 0`

3) Rewrite and solve: `−2 < x` and `x ≤ 1`

4) Solve: if `x − 4 ≥ 0`

6) If `f(x) = 2x + 1`, what is `f(3)`?

8) For `f(x) = √(x + 5)`, what is the domain?

13) `y = f(x) + 3` moves the graph of `f(x)`:

14) `y = −f(x)` is a:

15) `y = f(x − 2)` moves the graph of `f(x)` how?

16) `y = 3 f(x)` behaves as a:

17) Sequence `3, 7, 11, 15, ...` is:

18) If arithmetic sequence has first term `2` and common difference `6`, what is the 4^th term?

19) Sum of first `n` terms of an arithmetic sequence with first = `5` and last = `25` is:

20) Which formula gives the `n`^th term of an arithmetic sequence?

21) `2, 6, 18, 54, ...` is a:

22) Formula for `n`^th term of a geometric sequence is:

23) For geometric sequence `2, 4, 8, 16, ...` what is the 3^rd term?

24) Infinite geometric series with first term `a` and ratio `r` (|r| < 1) sums to: