MCAP Algebra I Algebra Practice — Sports Academy Games

Algebra skills

A.SSE.A Interpret the structure of expressions.

A.SSE.B Write expressions in equivalent form to solve problems.

A.APR.A Perform arithmetic operations on polynomials.

A.APR.B Understand the relationship between zeros and factors of polynomials.

A.CED.A Create equations that describe numbers or relationships.

A.REI.A Understand solving equations as a process of reasoning and explain the reasoning.

A.REI.B Solve equations and inequalities in one variable.

A.REI.C Solve systems of equations.

A.REI.D Represents and solve equations and inequalities graphically.

Standards basis

Maryland College and Career Ready Standards for Mathematics (MCCRSM) — Maryland

How the MCAP reports it

MCAP is Maryland's statewide successor to PARCC, built on the Maryland College and Career Ready Standards for Mathematics (which mirror CCSS-M) — it is not a Smarter Balanced administration despite the claims-style family resemblance. Each grade/course High Level Blueprint (September 2022) organizes the assessment into three subclaims: Content (23-24 one-point machine-scored items, listed per domain/conceptual category as MCCRSM cluster headings), Reasoning (6 items), and Modeling (6 items), the latter two defined by per-grade evidence statements and including constructed-response items. Cluster headings are transcribed verbatim from the blueprints, including their minor typographical deviations from the parallel CCSS-M headings; two evident misprints are normalized (a duplicated sentence fragment on 4.OA.C, and the domain codes printed as G.P.E / T.TF for G.GPE / F.TF). Since March 2025, grade 6-7 students enrolled in a high-school mathematics course may take the corresponding MCAP course assessment instead of the grade-level test.

Blueprint & weighting

Each High Level Blueprint (September 2022) publishes per-domain operational item counts. Content Subclaim (1-point machine-scored items): Grade 3 — OA 7, NBT 2, NF 7, Measurement 5, Geometry 2 (23 items); Grade 4 — OA 4, NBT 5, NF 10, Measurement 3, Geometry 1 (23); Grade 5 — OA 2, NBT 6, NF 9, Measurement 4, Geometry 2 (23); Grade 6 — RP 3, NS 8, EE 8, Geometry 2, SP 2 (23); Grade 7 — RP 8, NS 4, EE 5, Geometry 3, SP 3 (23); Grade 8 — NS 2, EE 10, Functions 5, Geometry 4, SP 2 (23); Algebra I — Number and Quantity 1, Algebra 12, Functions 9, Statistics 2 (24); Geometry — G.CO 7, G.SRT 8, G.C 3, G.GPE 3, G.GMD 1, G.MG 1 (23); Algebra II — Number and Quantity 3, Algebra 8, Functions 11, Statistics 1 (23). Every assessment adds 6 Reasoning Subclaim and 6 Modeling Subclaim operational items — four 1-point machine-scored each, plus two constructed-response items (two 3-point in grades 3-4; one 3-point and one 4-point in grades 5-8; two 4-point in Algebra I, Geometry, and Algebra II) — so a form carries 35 operational items (36 for Algebra I).

Official sources

MSDE — MCAP Mathematics (current program page: grades 3-8, Algebra I, Geometry, Algebra II)
MSDE — MCAP Overview / High Level Blueprints summary
MSDE — MCAP Grade 3 Mathematics High Level Blueprint (September 2022)

8 free questions · 0/0 correct

Practice playeasy

Which is a factored form of $x^2 + x - 12$ ?

Find two numbers with product $-12$ and sum $1$ : $4$ and $-3$ . So $x^2 + x - 12 = (x+4)(x-3)$ .

Practice playmedium

The polynomial function defined by $p(x)=x^3-4x^2+x+6$ has $(x-2)$ as one of its linear factors. What are all and only the zeros of $p$ ?

Since $(x-2)$ is a factor, dividing by $(x-2)$ gives $p(x)=(x-2)(x^2-2x-3)=(x-2)(x-3)(x+1)$ . The zeros come from the linear factors, so set each equal to zero: $(x-2)=0 \Rightarrow x=2$ ; $(x-3)=0 \Rightarrow x=3$ ; $(x+1)=0 \Rightarrow x=-1$ . The zeros are $2$ , $3$ , and $-1$ .

Practice playmedium

If $\dfrac{4x - y}{x + 2y} = \dfrac{3}{2}$ , then $\dfrac{x}{y}=$

Cross-multiply to clear the fraction: $2(4x - y) = 3(x + 2y)$ , so $8x - 2y = 3x + 6y$ . Collect like terms to get $5x = 8y$ . Divide both sides by $y$ , then by $5$ , to obtain $\dfrac{x}{y} = \dfrac{8}{5}\textsf{.}$

Practice playmedium

If $\dfrac{x^{2} + 10x + 25}{x + 5} = 3$ and $x \neq -5\textsf{,}$ what is the value of $x\textsf{?}$

Factor the numerator as a perfect square: $x^{2} + 10x + 25 = (x+5)^{2}$ . For $x \neq -5$ , one factor of $x+5$ cancels, giving $x+5 = 3$ , so $x = -2\textsf{.}$

Practice playeasy

$\begin{cases} y \ge -x + 3 \\ y < 2x + 7 \end{cases}$
The point $(x, y)$ is a solution to the system of inequalities in the coordinate plane. If $x = 1$ , which of the following could be a value of $y$ ?

Substitute $x = 1$ . From $y \ge -x + 3$ , $y \ge 2$ . From $y < 2x + 7$ , $y < 9$ . The value $y = 5$ satisfies $2 \le 5 < 9$ .

Practice playmedium

Which is the completely factored form of $20x^{2} - 30x$ ?

The greatest common factor of $20x^{2}$ and $30x$ is $10x\textsf{.}$ Factoring gives $10x(2x - 3)$ .

Practice playeasy

Which expression is equivalent to $4x^{2} - 9$ ?

$4x^{2} - 9 = (2x)^{2} - 3^{2} = (2x - 3)(2x + 3)$ .

Practice playmedium

Which expression is equivalent to $\dfrac{10u}{g} + 30u$ , where $g > 0$ ?

Write $30u$ with denominator $g$ : $\dfrac{10u}{g} + \dfrac{30ug}{g} = \dfrac{10u + 30ug}{g} = \dfrac{10u(1 + 3g)}{g}$ .

MCAP Algebra I Algebra. Practice it free.

Algebra skills

A.SSE.A Interpret the structure of expressions.

A.SSE.B Write expressions in equivalent form to solve problems.

A.APR.A Perform arithmetic operations on polynomials.

A.APR.B Understand the relationship between zeros and factors of polynomials.

A.CED.A Create equations that describe numbers or relationships.

A.REI.A Understand solving equations as a process of reasoning and explain the reasoning.

A.REI.B Solve equations and inequalities in one variable.

A.REI.C Solve systems of equations.

A.REI.D Represents and solve equations and inequalities graphically.

Topics mapped to this domain

Factoring quadratic expressions (ACT)

Factorable polynomial zeros (ACT)

Rational equations — find a ratio (ACT)

Rational equation solving (SAT)

Linear inequality system solutions

Common factor factoring (SAT)

Difference of squares factoring

Equivalent rational expressions (SAT)

Factoring patterns

Factoring quadratics

Quadratic expression values from equations

Monomial expression multiplication (SAT)

8 free questions · 0/0 correct

Turn algebra into game time.

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