BetterGrades Algebra · Unit A1 · Practice

Quantities, Variables, and Mathematical Objects: mixed practice

Quantities, Variables, and Mathematical Objects: mixed practice for Quantities, Variables, and Mathematical Objects, with an explicit attempt-first assessment blueprint.

Assessment

20 concrete questions

Suggested time: flexible minutes.

Grading boundary: deterministic where supported; symbolic equivalence server-side

Cumulative share: 30% prior units

Each question is fully authored and linked to a lesson skill. Detailed scoring criteria and worked solutions stay protected until a substantive attempt is submitted.

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Open-response checkA1.4

If $a=\frac{b}{c},$ rewrite $2a+1$ using $b$ and $c$ .

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Open-response checkA1.4

Evaluate $2(x+y)-xy$ for $x=-1, y=4$ .

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Open-response checkA1.4

Evaluate $3x^{2} - 4x - 2$ at $x = -2,$ showing the substitution line.

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Open-response checkA1.4

If $g(t) = t^{2} - 3t,$ find $g(a + 2)$ and simplify.

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Open-response checkA1.4

Use A $= \frac{1}{2}bh$ with $b = 7.2$ cm and $h = 5$ cm. Report the value and dimension.

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Open-response checkA1.4

A student evaluates $-x^{2}$ at $x = -4$ as $16$ . Repair the substitution and explain the grouping.

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Open-response checkA1.5

Evaluate $7 + 3\cdot 4$

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Open-response checkA1.5

Evaluate $(7+3)\cdot 4$

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Open-response checkA1.5

Evaluate $24\div 6\cdot 2$

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Open-response checkA1.5

Evaluate $24\div (6\cdot 2)$

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Open-response checkA1.5

Evaluate $3^{2} + 2^{3}$

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Open-response checkA1.5

Evaluate $-4^{2} \qquad (-4)^{2}$

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Open-response checkA1.5

Evaluate $2[5-(3-7)]$

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Open-response checkA1.5

Evaluate $\frac{18-6}{2+1}$

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Open-response checkA1.5

Type the fraction $x+3$ over $2x-1$ on one line.

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Open-response checkA1.5

Insert parentheses so $8-2\cdot 3$ equals $18$ .

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Open-response checkA1.5

A student evaluates $20-8\div 4$ as $3$ . Repair the work.

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Open-response checkA1.5

Evaluate $5 + 12\div 3^{2}$

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Open-response checkA1.5

Explain the role of the radical bar in $\sqrt{9+7}$ .

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Open-response checkA1.5

Evaluate $\frac{6}{2}(1+2)$ using standard left-to-right convention.

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