dType":"basic","front":"Which part of a term must be identical for two terms to be considered 'like terms'?","back":"The letter part (including the power).","points":1},{"id":"f972ed6e-5f06-459d-8570-9b6a85db6fe9","cardType":"cloze","front":"Simplify $r + r + r + r = \\text{[...]}.","back":"Simplify $r + r + r + r = \\boxed{4r}.","points":null},{"id":"909fdb0e-9717-468d-ac6d-349d14607516","cardType":"basic","front":"Simplify $6t + 3t - 4t$.","back":"$$5t$","points":2},{"id":"60484a6a-6368-4c83-8cf8-4fc161826beb","cardType":"basic","front":"In the expression $9a - 2a$, which term does the minus sign belong to?","back":"The term following it ($-2a$).","points":1},{"id":"eec407ed-4b21-4823-9904-4c8d0c20076a","cardType":"cloze","front":"To simplify $8g + 4h - 3g + 2h$:

Collect $g$ terms: $\\text{[...]}$
Collect $h$ terms: $6h$

","back":"To simplify $8g + 4h - 3g + 2h$:

Collect $g$ terms: $\\boxed{5g}$
Collect $h$ terms: $6h$

","points":null},{"id":"dab39544-2b8a-4b1c-b686-ab4aee18d41f","cardType":"cloze","front":"To simplify $8g + 4h - 3g + 2h$:

Collect $g$ terms: $5g$
Collect $h$ terms: $\\text{[...]}$

","back":"To simplify $8g + 4h - 3g + 2h$:

Collect $g$ terms: $5g$
Collect $h$ terms: $\\boxed{6h}$

","points":null},{"id":"97b2d4e8-21fa-493e-97f9-b0e67351b069","cardType":"basic","front":"Simplify $5a + 6 - 2a + 3$.","back":"$$3a + 9$","points":3},{"id":"931b1262-67f8-424c-99e6-f91076c94dc3","cardType":"basic","front":"Why can the expression $3a + 4b$ not be simplified?","back":"They are unlike terms (different letter parts).","points":1},{"id":"c762eda5-b9cd-4a00-a9be-4c0b9f7e60be","cardType":"cloze","front":"In algebra, $a \\times b$ is written as $\\text{[...]}$.","back":"In algebra, $a \\times b$ is written as $\\boxed{ab}$.","points":null},{"id":"2c2b8bea-74c1-480f-86a8-e1c4b0976186","cardType":"basic","front":"Simplify $5 \\times 4x$.","back":"$$20x$","points":1},{"id":"2e2ec90e-9139-4170-979d-cf865c9eaa6f","cardType":"basic","front":"Simplify $3p \\times 6q$.","back":"$$18pq$","points":2},{"id":"b821993d-44da-403d-9a84-aa5592beb2a5","cardType":"basic","front":"Identify the common mistake when simplifying $2a \\times 5b$.","back":"Adding the coefficients instead of multiplying them (result should be $10ab$, not $7ab$).","points":1},{"id":"8df34141-60e0-42bf-a08e-afbee5131dd2","cardType":"basic","front":"What does a power (or index) indicate in algebra?","back":"How many times a letter is multiplied by itself.","points":1},{"id":"5e8bf375-c547-455b-9c7d-2aeebdc89580","cardType":"cloze","front":"Simplify $z \\times z \\times z = \\text{[...]}.","back":"Simplify $z \\times z \\times z = \\boxed{z^3}.","points":null},{"id":"e46907b0-f24f-46ec-b674-701421b171f8","cardType":"basic","front":"Contrast the simplified forms of $x + x$ and $x \\times x$.","back":"

$x + x = 2x$
$x \\times x = x^2$

","points":2},{"id":"36442b28-12f3-46bb-9934-094d0a1c0c11","cardType":"basic","front":"Are $x^2$ and $x$ like terms?","back":"No (they have different powers).","points":1},{"id":"85947de9-a96a-4844-8b0e-b0046def1717","cardType":"cloze","front":"Simplify $4x^2 - 3x + 2x^2 + 5x$:

Collect squared terms: $\\text{[...]}$
Collect $x$ terms: $2x$

","back":"Simplify $4x^2 - 3x + 2x^2 + 5x$:

Collect squared terms: $\\boxed{6x^2}$
Collect $x$ terms: $2x$

","points":null},{"id":"9cba3dba-29db-4d3f-90f5-4c352544ffd1","cardType":"cloze","front":"Simplify $4x^2 - 3x + 2x^2 + 5x$:

Collect squared terms: $6x^2$
Collect $x$ terms: $\\text{[...]}$

","back":"Simplify $4x^2 - 3x + 2x^2 + 5x$:

Collect squared terms: $6x^2$
Collect $x$ terms: $\\boxed{2x}$

","points":null},{"id":"700d9c18-d817-45ce-8ee3-cb89abd0f104","cardType":"basic","front":"Simplify $\\frac{15k}{5}$.","back":"$$3k$","points":1},{"id":

Simplifying Algebra Flashcards

Simplifying Algebra Flashcards

Simplifying Algebra Flashcards

Simplifying Algebra Flashcards