ACAP Grade 6 Expressions and Equations. Practice it free.

Applies and extends previous understandings of arithmetic to algebraic expressions, equations, and inequalities. This Grade 6 reporting domain maps to 6 practice skills and 8 representative questions from the playable bank.

Grade 66 mapped skills
What the test measures

Expressions and Equations skills

  1. Apply and extend previous understandings of arithmetic to algebraic expressions

  2. Reason about and solve one-variable equations and inequalities

  3. Represent and analyze quantitative relationships between dependent and independent variables

Standards basis

Alabama Course of Study: Mathematics — Alabama

How the ACAP reports it

Alabama’s ACAP Summative is a state assessment tied to Alabama’s own K-12 mathematics standards and reporting structure rather than a national consortium blueprint. The publicly accessible assessment page does not expose a separate ACAP math blueprint in the fetched content, so the safest official coverage basis is Alabama’s mathematics standards organization into grade-level domains.

Blueprint & weighting

ACAP uses the Independent / state-specific framework (by grade domains structure).

Try it now

8 free questions · 0/0 correct

Practice playeasy

Which expression is equivalent to 3+w+83 + w + 8?

The constants 33 and 88 are like terms: 3+8=113 + 8 = 11. The term ww stays the same, so the expression is equivalent to w+11.w + 11\textsf{.}

Practice playeasy

Simplify: 4(7x+2)4(7x + 2).

Distribute 4: 47x+42=28x+84 \cdot 7x + 4 \cdot 2 = 28x + 8.

Practice playeasy

What is 33?3^{3}\textsf{?}

33=333=27.3^{3} = 3 \cdot 3 \cdot 3 = 27\textsf{.}

Practice playeasy

Write 5×5×5×5×55 \times 5 \times 5 \times 5 \times 5 using an exponent.

The base 55 appears 55 times as a factor, so 5×5×5×5×5=555 \times 5 \times 5 \times 5 \times 5 = 5^{5}.

Practice playeasy

Evaluate: 9+8749 + 8 \cdot 7 - 4.

Multiply first: 87=568 \cdot 7 = 56. Then 9+564=619 + 56 - 4 = 61.

Practice playeasy

Evaluate 131^3.

13=111=1\,1^3 = 1 \cdot 1 \cdot 1 = 1.

Practice playeasy

Which expression is equivalent to p+12+5p + 12 + 5?

The constants 1212 and 55 are like terms: 12+5=1712 + 5 = 17. The term pp stays the same, so the expression is equivalent to p+17.p + 17\textsf{.}

Practice playeasy

Simplify: 8x+2+8x18x + 2 + 8x - 1.

Combine xx-terms: 8x+8x=16x8x + 8x = 16x. Combine constants: 21=12 - 1 = 1. Result: 16x+116x + 1.

Keep practicing

Turn expressions and equations into game time.

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