BetterGrades Algebra · Unit A2 · Review

Expressions, Equality, and Linear Equations: cumulative review

Expressions, Equality, and Linear Equations: cumulative review for Expressions, Equality, and Linear Equations, with an explicit attempt-first assessment blueprint.

Assessment

35 concrete questions

Suggested time: 35-60 minutes.

Grading boundary: mixed self-check + selected deterministic checks

Cumulative share: 25% 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.

Open the protected response guide

Open-response checkA2.3

Solve ax =b= b for xx when a0a \ne 0.

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Open-response checkA2.3

Analyze 0x=60x = 6.

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Open-response checkA2.3

Analyze 0x=00x = 0.

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Open-response checkA2.3

A student solves 4x=20-4x=20 as x=5x=5. Repair the sign.

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Open-response checkA2.3

Check x=18x = 18 in x3=6\frac{x}{3} = 6.

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Open-response checkA2.3

Solve and verify(74)x=21(\frac{7}{4})x = -21

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Open-response checkA2.3

Solve 7x=35-7x = 35 and check the sign before calculating.

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Open-response checkA2.3

Solve(49)y=14(-\frac{4}{9})y = 14

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Open-response checkA2.3

Classify 0z=00z = 0 and 0z=80z = -8.

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Open-response checkA2.3

Five equal containers hold 17.517.5 liters total. Write and solve a coefficient equation with units.

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Open-response checkA2.4

Solve2x+5x=282x + 5x = 28

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Open-response checkA2.4

Solve9x4x+6=319x - 4x + 6 = 31

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Open-response checkA2.4

Solve4(x+2)=324(x + 2) = 32

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Open-response checkA2.4

Solve3(x5)=6-3(x - 5) = 6

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Open-response checkA2.4

Solve5(x+1)2=185(x + 1) - 2 = 18

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Open-response checkA2.4

Solve2(x4)+3x=172(x - 4) + 3x = 17

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Open-response checkA2.4

Solve7+3(x1)=197 + 3(x - 1) = 19

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Open-response checkA2.4

Solve4x+2x+7=244x + 2 - x + 7 = 24

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Open-response checkA2.4

Solve6(2x1)12x=66(2x - 1) - 12x = -6

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Open-response checkA2.4

Solve2(x+3)+2x=182(x + 3) + 2x = 18

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Open-response checkA2.4

A student rewrites 2(x4)-2(x-4) as 2x8-2x-8. Repair it.

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Open-response checkA2.4

Which terms combine in 3x+2+5x2x3x + 2 + 5x^{2} - x?

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Open-response checkA2.4

Simplify, then solve82x+5=218 - 2x + 5 = 21

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Open-response checkA2.4

Solve3(2x+1)+4=253(2x + 1) + 4 = 25

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Open-response checkA2.4

Why check in the original equation after simplifying?

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Open-response checkA2.4

Solve and verify2(3x5)+4x=402(3x - 5) + 4x = 40

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Open-response checkA2.4

Solve5(2x3)4x=275(2x - 3) - 4x = 27

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Open-response checkA2.4

Solve3(2y+1)+5y=9-3(2y + 1) + 5y = 9

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Open-response checkA2.4

Solve 4(3x+6)=8x+404(3x + 6) = 8x + 40 using an efficient first move.

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Open-response checkA2.4

A student simplifies 2(x+5)3x2(x + 5) - 3x as x+5-x + 5. Locate and repair the first error.

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Open-response checkA2.5

Solve3x+8=263x + 8 = 26

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Open-response checkA2.5

Solve7x9=407x - 9 = 40

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Open-response checkA2.5

Solve122x=2412 - 2x = 24

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Open-response checkA2.5

Solve4x+5=29-4x + 5 = 29

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Open-response checkA2.5

Solve5(x2)=355(x - 2) = 35

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