SC READY Grade 8 Patterns, Algebra, and Functional Reasoning. Practice it free.

Determine if a table, graph, verbal description, or equation represents a function and describe its characteristics; write, simplify, and evaluate algebraic expressions; write and solve algebraic equations and inequalities; apply mathematical patterns, properties, and algorithms to the set of rational numbers to find sums, differences, products, and quotients and to write equivalent expressions. This Grade 8 reporting domain maps to 9 practice skills and 8 representative questions from the playable bank.

Grade 8PAFR9 mapped skills
What the test measures

Patterns, Algebra, and Functional Reasoning skills

  1. 8.PAFR.1.1 to 1.6

  2. 8.PAFR.2.1 to 2.5

  3. 8.PAFR.3.1 to 3.3

Standards basis

2025 South Carolina College- and Career-Ready Mathematics Standards — South Carolina

How the SC READY reports it

SC READY is South Carolina’s state assessment program and does not use a national blueprinted framework like SBAC or NAEP. Its math tests are aligned to the 2025 South Carolina College- and Career-Ready Mathematics Standards and organized into state-specific reporting categories.

Blueprint & weighting

The blueprint publishes approximate item-count ranges by reporting category, not percentages. Grade 3: DPSR 7-10, MGSR 15-18, NR 15-18, PAFR 9-13; Grade 4: DPSR 7-9, MGSR 12-15, NR 12-15, PAFR 15-19; Grade 5: DPSR 8-10, MGSR 11-14, NR 9-11, PAFR 17-21; Grade 6: DPSR 9-11, MGSR 11-14, NR 7-9, PAFR 18-21; Grade 7: DPSR 11-14, MGSR 13-17, NR 6-8, PAFR 14-18; Grade 8: DPSR 8-10, MGSR 15-19, NR 7-9, PAFR 14-18. All grades are 50 operational items, with additional field-test items; DOK ranges are 15-40% level 1, 55-85% level 2, and 0-10% level 3.

Try it now

8 free questions · 0/0 correct

Practice playeasy

Rewrite a2a^{-2} with a positive exponent.

The Negative Exponent Property says that a nonzero base raised to a negative exponent equals the reciprocal of that base raised to the positive exponent, written an=1an.a^{-n} = \dfrac{1}{a^{n}}\textsf{.} Applying the property, a2=1a2.a^{-2} = \dfrac{1}{a^{2}}\textsf{.}

Practice playeasy

What is 64\sqrt{64}?

8×8=648 \times 8 = 64, so 64=8\sqrt{64} = 8.

Practice playeasy

What is the slope of the line y=32x+2y = \dfrac{3}{2}x + 2?

In y=mx+by = mx + b, the slope is m=32m = \dfrac{3}{2}.

Practice playmedium

Consider the linear function tt given by t(x)=nx+150t(x) = nx + 150, where nn is a constant. Knowing that t(10)=80t(10) = 80, determine t(20)t(20).

Substitute x=10x = 10: 10n+150=8010n + 150 = 80, so 10n=7010n = -70 and n=7n = -7. The rule is t(x)=7x+150t(x) = -7x + 150, so t(20)=7(20)+150=140+150=10t(20) = -7(20) + 150 = -140 + 150 = 10.

Practice playeasy

An amusement park charges $12\text{\char36}12 for admission and $3\text{\char36}3 for each ride. Let xx be the number of rides and yy be the total cost in dollars. Which equation models the situation?

Admission is the starting cost ($12\text{\char36}12) and each ride adds $3\text{\char36}3, so y=3x+12.y = 3x + 12\textsf{.}

Practice playeasy

What is the slope of the line through (1,2)(1, 2) and (3,8)(3, 8)?

Slope =8231=62=3.= \dfrac{8 - 2}{3 - 1} = \dfrac{6}{2} = 3\textsf{.}

Practice playmedium

Solve 13(6x9)+2x=11\dfrac{1}{3}(6x - 9) + 2x = 11 for xx.

Distribute 13\dfrac{1}{3}: 2x3+2x=112x - 3 + 2x = 11. Combine like terms: 4x3=114x - 3 = 11. Add 33 to both sides: 4x=144x = 14. Divide by 44: x=72.x = \dfrac{7}{2}\textsf{.}

Practice playmedium

If 2y=4x+8-2y = 4x + 8, which expression is equal to xx?

Subtract 88 from both sides: 2y8=4x-2y - 8 = 4x. Divide both sides by 44: x=2y84x = \dfrac{-2y - 8}{4}.

Keep practicing

Turn patterns, algebra, and functional reasoning into game time.

The SC READY placement starts with this test's real coverage map and finds the right difficulty.