D. The quantity by which another number is divided; must never equal zero.
E. A plotted symbol (solid or open circle) showing whether an endpoint is included.
F. To eliminate or clear a denominator after multiplying both sides by the LCM.
G. The measurable length of elapsed time in hours or minutes in a rate problem.
1. In Round 3 #2, "The money spent at a parking meter varies directly with time parked." What type of equation model (\(y = kx\)) represents this relationship?
Answer:
2. In Round 2 #1, multiplying \(\frac{2}{3}(12 - 3x) = 5 - \frac{1}{4}x\) by the LCM allows you to do what to all fractional denominators?
Answer:
Algebra 1 • Interim Assessment Review Turn page for "E" Vocabulary (Part 1) →
Name: Seat #:
Date:
Algebra 1 • Interim Assessment Review
Page 3 of 4
Write letter in brackets
1. Equation [ ]
2. Evaluate [ ]
3. Expression [ ]
4. Equal [ ]
5. Equivalent [ ]
6. Endpoint [ ]
7. Eliminate [ ]
8. Exponent [ ]
A. A mathematical sentence with an equal sign showing two expressions are equal.
B. To substitute known numbers for variables and simplify to a single value.
C. A mathematical phrase with numbers and operations, but NO equal sign.
D. Having the exact same numerical quantity, size, or algebraic value (\(=\)).
E. Equations or expressions that share the identical value or solution set.
F. The boundary value marking the beginning or end of an interval.
G. To clear or cancel out variables or denominators using inverse operations.
H. A superscript showing repeated multiplication of a base (\(x^1, x^2\)).
1. Do Now #2 asks: "Part A: If \(6x - 12 = -30\), find \(x\). Part B: What is the value of \(2x - 4\)?" What math action is required in Part B?
Answer:
2. In Round 1 #2, \(\frac{4}{5}(x - 7) = 8\) is transformed into \(4(x - 7) = 40\). What term describes these two equations?
Answer:
Algebra 1 • Interim Assessment Review Turn page for "E" Vocabulary (Part 2) →
Name: Seat #:
Date:
Algebra 1 • Interim Assessment Review
Page 4 of 4
Write letter in brackets
9. Expand [ ]
10. Estimate [ ]
11. Element [ ]
12. Even [ ]
13. Extraneous [ ]
14. Exact [ ]
15. Equality [ ]
A. To remove parentheses by multiplying out terms using distribution.
B. To calculate an approximate value to verify if a computed answer makes sense.
C. An individual value or member that belongs to a specific mathematical set.
D. An integer completely divisible by 2 without any remainder (\(\dots -2, 0, 2, 4 \dots\)).
E. A false algebraic solution that makes a denominator zero in the original equation.
F. A precise, unrounded numerical answer left as a simplified fraction.
G. The fundamental principle stating that balance is preserved under identical operations.
1. In Do Now #1, \(\frac{5}{x+4} = \frac{3}{x-2}\). Why must we verify that solutions do not equal \(-4\) or \(2\)? What type of false root are we guarding against?
Answer:
2. In Round 1 #4, the solution is written as \(x = \frac{7}{2}\) rather than \(3.5\). What term describes keeping an unrounded, completely accurate fraction?
Answer:
Algebra 1 • Interim Assessment Review Term Matchup Complete • Turn In for Grading
Anchor: Direct variation has constant ratio \(\frac{y}{x} = k\).
Discrete D11 • Data
Data made of distinct, individual isolated points rather than a continuous curve.
Set of coordinates \(\{(1, 16), (2, 64)\}\)
Anchor: Discrete points are counted; continuous is measured.
Divisor D12 • Division
The quantity by which another number is divided; must never equal zero.
Round 1 #2: Simplifying \(-\frac{68}{4} = -17\) (divisor is 4)
Anchor: Divisor sits on the bottom in a fraction.
Dot D13 • Graphs
A solid circle (includes point, \(\le\)) or open circle (excludes point, \(<\)).
Drill #2: Solid dot at \(x = 12 \implies x \le 12\)
Anchor: Solid dot uses brackets \([ \; ]\); open dot uses \(( \; )\).
Drop D14 • Method
To eliminate denominators or cancelled common factors across an equation.
Round 2: Multiply by 12 drops fractions instantly.
Anchor: Multiplying by LCM drops all fraction bars.
Duration D15 • Rates
The length of elapsed time in minutes or hours during a rate problem.
Round 3 #1: Roasting duration: \(20\text{ min} \times 20 = 400\text{ min}\)
Anchor: Check units (convert minutes to hours by \(\div 60\)).
"D" Mastery Check 15 Terms
Review all 15 "D" terms before moving to the "E" deck:
▢ Domain▢ Decimal ▢ Denominator▢ Degree ▢ Distribute▢ Direct ▢ Difference▢ Discrete ▢ Division▢ Divisor ▢ Decrease▢ Dot ▢ Dependent▢ Drop / Duration
Mastered 15 D terms!
Page 2 of 4 • Set 2 ("D" Words 9–15 & Mastery) Next page begins "E" Words →
Cut along dashed lines • Set 3: "E" Flashcards (1–8)
Algebra 1 • Equations Review
Equation E1 • Balance
A mathematical sentence with an equal sign (\(=\)) stating two expressions are equal.
\(3x + 2 = 5(x - 1)\) (has solution \(x = \frac{7}{2}\))
Anchor: An equation has an equal sign and can be solved.
Evaluate E2 • Compute
To replace variables with numbers and calculate the resulting simplified value.
Round 1 #5: If \(x = -5\), evaluate \(6(-5) - 7 = -37\).
Trap: Don't stop at finding \(x\); plug it in!
Expression E3 • Phrase
A mathematical phrase made of numbers, variables, and operations, with no equal sign.
\(2x - 4\) (cannot solve for \(x\); only evaluate)
Anchor: Expressions never contain an equal sign!
Equal E4 • Equality
Having the exact same numerical quantity, size, or algebraic value (\(=\)).
Left side value \(=\) Right side value
Anchor: Whatever is done to one side must be done to other.
Equivalent E5 • Same Roots
Equations that share the exact same solution set after valid transformations.
\(\frac{4}{5}(x-7) = 8 \iff 4(x-7) = 40\)
Anchor: Valid operations produce equivalent equations.
Endpoint E6 • Boundary
The extreme boundary value at the start or end of a domain or range interval.
Drill #1: Endpoints at \(t = 0\) and \(t = 4\).
Anchor: Look at dots to see if endpoints are included.
Eliminate E7 • Simplify
To remove fractions or variable terms by applying legal inverse operations.
Round 2: Multiply by LCM 12 to eliminate fractions.
Anchor: Eliminating fractions avoids tricky arithmetic.
Exponent E8 • Power
A superscript showing repeated multiplication of a base term (\(x^1, x^2\)).
In linear equations, variable exponent is 1.
Anchor: An exponent of 1 is usually unwritten: \(x = x^1\).
Page 3 of 4 • Set 3 ("E" Words 1–8) Turn over for "E" Words 9–15
Cut along dashed lines • Set 4: "E" Flashcards (9–15 & Mastery)
Algebra 1 • Equations Review
Expand E9 • Algebra
To remove parentheses by multiplying out factors using the distributive property.
Round 1 #6: Expand \(-3(x - 7)\) into \(-3x + 21\).
Anchor: Expanding is the reverse of factoring.
Estimate E10 • Check
To calculate an approximate value to verify if a computed answer is reasonable.
Round 3 #3: \(1,800 \approx 3.6 \times 500 \implies > 10\text{ hours}\).
Anchor: Use estimation to rule out crazy answer choices!
Element E11 • Set Member
An individual member or value belonging to a defined mathematical set.
\(x = 2\) is an element of the domain \([0, 4]\).
Anchor: Each \(x\)-input is an element of the domain.
Even E12 • Integers
An integer cleanly divisible by 2 with zero remainder (\(\dots -2, 0, 2, 4 \dots\)).
Round 1 #3: Solution \(m = 56\) is an even integer.
Anchor: Even numbers end in 0, 2, 4, 6, or 8.
Extraneous E13 • False Root
A false solution from solving steps that makes a denominator zero.
Do Now #1: In \(\frac{5}{x+4} = \frac{3}{x-2}\), \(x \ne -4, 2\).
Anchor: Always check roots in rational equations!
Exact E14 • Precision
A completely precise solution left as a simplified fraction, never rounded.
Round 1 #4: Exact answer is \(\frac{7}{2}\) (not 3.5).
Anchor: Standardized exams favor exact improper fractions.
Equality E15 • Balance
The fundamental law stating balance is preserved under identical operations.
Addition, Subtraction, Multiplication Properties of Equality.
Anchor: Keep the scale balanced at all times.
"E" Mastery Check 15 Terms
Review all 15 "E" terms in your study card deck:
▢ Equation▢ Expand ▢ Evaluate▢ Estimate ▢ Expression▢ Element ▢ Equal▢ Even ▢ Equivalent▢ Extraneous ▢ Endpoint▢ Exact ▢ Eliminate▢ Equality
Mastered 15 E terms!
Page 4 of 4 • Set 4 ("E" Words 9–15 & Mastery) Complete 30-Card Algebra Review Deck
