341fd42-e72e-4bce-8b29-c87b77b6812b","cardType":"cloze","front":"A [ ] is a term with no variable, such as 5 or -3.","back":"A constant is a term with no variable, such as 5 or -3.","points":null},{"id":"1ca80c7e-9cad-40ac-aedd-c14b33a9d972","cardType":"basic","front":"Simplify $x + x + x$.","back":"$$3x$","points":1},{"id":"533af2a3-9232-4d99-8144-a20644848d8e","cardType":"cloze","front":"In algebra, a single $x$ means $\\text{[...]}$, not zero $x$.","back":"In algebra, a single $x$ means $\\boxed{1x}$, not zero $x$.","points":null},{"id":"70f6817b-3e76-4a71-9a2a-1d4c331ad18e","cardType":"cloze","front":"Like terms must have exactly the same [ ].","back":"Like terms must have exactly the same variable part.","points":null},{"id":"47aba6b9-2ef9-4f0a-b152-a9882c4d8e06","cardType":"basic","front":"Simplify $k + k + 9$.","back":"$$2k + 9$","points":2},{"id":"a875cdae-d480-497c-9791-83b67223449a","cardType":"basic","front":"Why can $3a$ and $3b$ not be collected together?","back":"They are unlike terms (they have different variables).","points":2},{"id":"6dc8e070-ed5b-4c94-a298-f6f783a19a3a","cardType":"basic","front":"Are $x$ and $x^2$ like terms? Why?","back":"No; they have different powers.","points":2},{"id":"f6c97b1b-bfb7-46c4-84cf-cc7a8a8b0a8d","cardType":"basic","front":"Identify the four terms in $8c - 5d + 2c - d$.","back":"

$8c$
$-5d$
$2c$
$-d$

","points":2},{"id":"8da1aff5-4615-4575-8d5f-dda3d731468c","cardType":"cloze","front":"In an expression, the sign before a term [ ].","back":"In an expression, the sign before a term belongs to that term.","points":null},{"id":"1c6b8c63-7b92-482e-ba1b-ec0bc1faf963","cardType":"basic","front":"Simplify $10a - 3b + 4a - 5b$.","back":"$$14a - 8b$","points":2},{"id":"f5965113-37dc-415b-a7ee-a8347b9b456d","cardType":"cloze","front":"The simplified way to write $a \\times b$ is $\\text{[...]}$.","back":"The simplified way to write $a \\times b$ is $\\boxed{ab}$.","points":null},{"id":"2879ff06-318c-4bac-901a-85d64c146969","cardType":"basic","front":"Simplify $5a \\times 2b$.","back":"$$10ab$","points":1},{"id":"07b705dc-0ba5-4180-a381-4311faf00aa2","cardType":"basic","front":"Why is $3a \\times 4b$ not $7ab$?","back":"Coefficients must be multiplied ($3 \\times 4$), not added.","points":2},{"id":"799306e0-9933-4aef-a7e2-d6cdc0275e8d","cardType":"cloze","front":"The expression $y^3$ means $\\text{[...]}$.","back":"The expression $y^3$ means $\\boxed{y \\times y \\times y}$.","points":null},{"id":"5adc5a0b-0ce4-473b-9c5f-e926503502ad","cardType":"basic","front":"Simplify $r \\times r \\times r$.","back":"$$r^3$","points":1},{"id":"207b5341-8c0f-43e2-99a0-05d57d655d08","cardType":"basic","front":"Simplify $4x^2 + 2x^2 - x^2$.","back":"$$5x^2$","points":1},{"id":"53487f49-2d82-462f-8d91-c46fab1ff656","cardType":"basic","front":"Simplify $\\frac{12h}{3}$.","back":"$$4h$","points":1},{"id":"412be5ac-a9f3-4e74-b63c-25ea7b2fa56d","cardType":"basic","front":"Simplify $\\frac{15d}{d}$.","back":"15","points":1},{"id":"6bfef6cf-cdbf-424a-a6a0-07d239994b8e","cardType":"basic","front":"Simplify $\\frac{8y + 4y}{2}$.","back":"

Collect: $12y / 2$
Answer: $6y$

","points":2},{"id":"0a088d3d-023e-4608-ae1f-4a528e20d169","cardType":"basic","front":"Simplify $7g + 4h - 2g + 3h$.","back":"$$5g + 7h$","points":2}]}],"examCountdown":null,"formulaUrl":null,"intro":"$L3b","title":"Simplifying Algebra Flashcards","topicSidebar":"$L3c"}]}],"topicId":"f5b9b22e-91ea-4cc6-a442-b698f8897a25","walled":"$L3d"}],"$L3e"]