MATH 130 · Unit 1 cumulative review

Test 1 Mixed Retrieval

Interleave the four quiz windows and use errors to direct final practice

50–55 minutes · Offline capable · Test 1 · Sep 23 at 2:10 PM

Learning roadmap and pacing

  1. 1

    retrieve foundations without relying on topic labels

  2. 2

    connect equations, lines, functions, and coordinate geometry

  3. 3

    select an efficient quadratic method

  4. 4

    diagnose errors and choose targeted follow-up practice

Canvas pacing anchor

Test 1 · Sep 23 at 2:10 PM

Canvas dates are master; confirm any announced adjustment to official coverage

Coverage note

This deck is the sequential study path. Official quiz and test coverage can be adjusted in Canvas or in class.

Activate · 2 minUnit 1 sequence

Use the review as four spaced passes

  1. 1

    Foundations: intervals, exponents, factoring, rational expressions.

  2. 2

    Linear equations, formulas, slope, and lines.

  3. 3

    Functions, domain/range, midpoint, distance, and circles.

  4. 4

    Quadratics, vertices, and applications.

Activate · 4 minUnit 1 sequence

Pass 1: foundations

  1. Write $x\le-2$ or $x>4$ in interval notation.
  2. Simplify $x^{-3}y^5/(x^2y^{-1})$.
  3. Factor $4x^3-36x$ completely.
  4. Simplify $(x^2-16)/(x^2-x-12)$ and state restrictions.

Practice · 8 minUnit 1 sequence

Pass 2: equations and lines

  1. Solve $3(x-4)+7=2x+1$.
  2. Solve $A=bh/2$ for $h$.
  3. Write a line through $(3,-2)$ perpendicular to $y=-4x+1$.

Practice · 7 minUnit 1 sequence

Pass 3: functions and geometry

  1. State the domain of $f(x)=1/(x+5)$.
  2. For $(-2,1)$ and $(4,9)$, find midpoint and distance.
  3. Write the circle with center $(-3,2)$ and radius $6$.

Practice · 7 minUnit 1 sequence

Pass 4: quadratics

  1. Solve $2x^2+x-6=0$.
  2. Find the vertex of $f(x)=-x^2+10x-18$.
  3. State what the vertex means if $f$ models height.

Practice · 7 minUnit 1 sequence

Triage by error type

Concept error

You chose the wrong rule or representation. Return to the matching A–D slide deck.

Process error

You knew the rule but lost a sign, factor, restriction, or unit. Redo one same-type problem slowly.

Confidence is not evidence

Mark a skill ready only after a correct closed-notes solution with a check.

Feedback · 5 minUnit 1 sequence

Mixed correction round

Work first · then reveal

  1. Choose one missed problem from each pass.
  2. Write the rule that applies before doing algebra.
  3. Redo it without looking, then verify by substitution, expansion, or units.

Practice · 5 minUnit 1 sequence

Test 1 checkpoint: readiness check

Test 1 checkpoint
Closed notes · show complete work
  1. Complete one foundation problem selected by a partner.
  2. Complete one equation/line problem selected by a partner.
  3. Complete one function/geometry problem selected by a partner.
  4. Complete one quadratic/application problem selected by a partner.

Assess · 8 minUnit 1 sequence

Exit ticket and next step

Before you leave
  1. Name one skill you can now complete without notes.
  2. Name one error pattern to watch.
  3. Schedule the next short practice before the checkpoint.
Next step

Finish with targeted practice on the Test 1 review page; Canvas remains the date authority

Synthesize · 3 minUnit 1 sequence