BetterGrades Algebra · Unit A2 · Answer Key

Expressions, Equality, and Linear Equations: mastery answer key

Expressions, Equality, and Linear Equations: mastery answer key for Expressions, Equality, and Linear Equations, with an explicit attempt-first assessment blueprint.

Response guide

24 concrete questions

Suggested time: 30-55 minutes.

Grading boundary: deterministic + rubric-scored explanation prompts

Cumulative share: 15% older + 25% recent

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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Attempt-gated response guideA2.9

A rectangle's length is 4m4 m more than its width and its perimeter is 40m40 m. Find both dimensions.

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Attempt-gated response guideA2.9

A phone battery at 92%92\% drops 88 percentage points per hour. When will it reach 44%44\%?

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Attempt-gated response guideA2.9

A tank has 1818 L and fills at 6Lmin\frac{6 L}{min} until it has 7272 L. How long?

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Attempt-gated response guideA2.9

A $90\$90 item is discounted 30%30\%. Find the sale price.

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Attempt-gated response guideA2.9

After a25%a 25\% increase, a value is 100100. Find the original value.

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Attempt-gated response guideA2.9

One angle is 1212^\circ larger than another; together they are 9090^\circ. Find both.

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Attempt-gated response guideA2.9

Tickets cost $7\$7 each plus a one-time $3\$3 fee. Can a total of $40\$40 represent a whole number of tickets?

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Attempt-gated response guideA2.9

A student writes 52x5-2x for '55 less than twice xx.' Repair it.

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Attempt-gated response guideA2.9

Define a variable and equation: 180180 km traveled at 60kmh\frac{60 km}{h}.

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Attempt-gated response guideA2.9

Why can x=3x=-3 be algebraically correct but contextually invalid for a ticket count?

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Attempt-gated response guideA2.9

A rental costs $12\$12 plus $4\$4 per hour and totals $36\$36. Solve, check, and interpret.

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Attempt-gated response guideA2.9

A gym charges $35\$35 to join and $18\$18 per month. The total paid is $197\$197. Define a variable and find the number of months.

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Attempt-gated response guideA2.9

The length of a rectangle is 55 cm more than its width and its perimeter is 4646 cm. Find both dimensions.

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Attempt-gated response guideA2.9

Three consecutive odd integers have sum 9393. Find them.

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Attempt-gated response guideA2.9

A van holds 1212 people. An equation gives 4.254.25 vans for 5151 people. Interpret the domain and rounding.

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Attempt-gated response guideA2.10

Solve6x5=316x - 5 = 31

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Attempt-gated response guideA2.10

Solve4(x+3)=284(x + 3) = 28

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Attempt-gated response guideA2.10

Solve3x+8=x+183x + 8 = x + 18

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Attempt-gated response guideA2.10

Solve2(5x1)+3=312(5x-1)+3=31

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Attempt-gated response guideA2.10

Solvex3+12=52\frac{x}{3} + \frac{1}{2} = \frac{5}{2}

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Attempt-gated response guideA2.10

Solve0.4x+1.6=4.80.4x + 1.6 = 4.8

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Attempt-gated response guideA2.10

Classify 5(x2)=5x105(x-2)=5x-10.

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Attempt-gated response guideA2.10

Classify 2(x+4)=2x+92(x+4)=2x+9.

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Attempt-gated response guideA2.10

Solve72(x+1)=3x7-2(x+1)=3x

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