Star Math algebra. Practice it free.

Measures algebraic thinking and symbolic reasoning, including graphing, evaluating, simplifying, and solving equations. This All grades reporting domain maps to 52 practice skills and 8 representative questions from the playable bank.

Grades K–1252 mapped skills
What the test measures

algebra skills

  1. graph points and functions

  2. evaluate variables

  3. solve linear and nonlinear equations

  4. simplify expressions

  5. other key algebraic tasks

Standards basis

Research-based, state-specific learning progressions aligned to state grade-level math standards (CCSS-like strands are visible on the product page) — national

How the Star Math reports it

Star Math is Renaissance’s proprietary adaptive assessment, not a shared framework like SBAC or NAEP. The page describes research-based, state-specific learning progressions aligned to English and Spanish, rather than a single common external blueprint.

Blueprint & weighting

Star Math uses the Independent / state-specific framework (strands structure).

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8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 7+m2+27 + m^{2} + 2?

The constants 77 and 22 are like terms: 7+2=97 + 2 = 9. The term m2m^{2} stays the same, so the expression is equivalent to m2+9.m^{2} + 9\textsf{.}

Practice playeasy

Simplify: 2(4x−3)2(4x - 3).

Distribute 2: 2⋅4x+2⋅−3=8x−62 \cdot 4x + 2 \cdot -3 = 8x - 6.

Practice playeasy

∣3x−12∣=24|3x - 12| = 24

Which of the following gives both solutions to the given equation?

The equation means 3x−12=243x - 12 = 24 or 3x−12=−243x - 12 = -24. Adding 1212 gives 3x=363x = 36 or 3x=−123x = -12. Dividing by 33 gives x=12x = 12 or x=−4x = -4. Both solutions are −4-4 and 12.12\textsf{.}

Practice playeasy

If ∣6x+12∣=48|6x + 12| = 48, what is the positive value of x+2x + 2?

Rewrite ∣6x+12∣=∣6(x+2)∣=∣6∣ ∣x+2∣=6∣x+2∣|6x + 12| = |6(x + 2)| = |6|\,|x + 2| = 6|x + 2|. Since 6∣x+2∣=486|x + 2| = 48, divide by 66 to get ∣x+2∣=8|x + 2| = 8. The expression x+2x + 2 equals 88 or −8-8; the positive value is 8.8\textsf{.}

Practice playmedium

Which is the completely factored form of 20x2−30x20x^{2} - 30x?

The greatest common factor of 20x220x^{2} and 30x30x is 10x.10x\textsf{.} Factoring gives 10x(2x−3)10x(2x - 3).

Practice playeasy

A car rental allows a trip length dd, in days, that is at least 22 days but less than 77 days. Which inequality represents the possible values of dd?

At least 22 gives d≥2d \ge 2. Less than 77 gives d<7d < 7, so 2≤d<72 \le d < 7.

Practice playeasy

A student needs 77 ounces of chocolate. Each candy bar is 44 ounces. What is the least number of candy bars the student should buy?

7÷4=1.75.7 \div 4 = 1.75\textsf{.} A bar cannot be bought in a fraction, and 11 bar is only 44 ounces. Two bars are 88 ounces, which meets the 77 ounces needed.

Practice playeasy

In the ordered pair (4,7)(4, 7), what is the xx-coordinate?

The first number in an ordered pair is the xx-coordinate. In (4,7)(4, 7) the xx-coordinate is 4.4\textsf{.}

Keep practicing

Turn algebra into game time.

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