{"id":6148,"date":"2026-06-25T16:32:08","date_gmt":"2026-06-25T21:32:08","guid":{"rendered":"https:\/\/www.eastcentral.edu\/learning-center\/?page_id=6148"},"modified":"2026-06-25T16:32:08","modified_gmt":"2026-06-25T21:32:08","slug":"pre-algebra-midterm-additions","status":"publish","type":"page","link":"https:\/\/www.eastcentral.edu\/learning-center\/pre-algebra-midterm-additions\/","title":{"rendered":"Pre-Algebra Midterm Additions"},"content":{"rendered":"\n
    \n
  1. Simplify the following expressions:<\/li>\n<\/ol>\n\n\n\n
    \n
    \n
    \n
    \na. \n \n \n 3<\/mn>\n (<\/mo>\n 5<\/mn>\n +<\/mo>\n 2<\/mn>\n )<\/mo>\n <\/mrow>\n \n 4<\/mn>\n +<\/mo>\n (<\/mo>\n –<\/mo>\n 4<\/mn>\n )<\/mo>\n <\/mrow>\n <\/mfrac>\n<\/math> =\n<\/div>\n\n\n\n
    \nb. \n \n \n 4<\/mn>\n +<\/mo>\n (<\/mo>\n –<\/mo>\n 4<\/mn>\n )<\/mo>\n <\/mrow>\n \n 3<\/mn>\n (<\/mo>\n 5<\/mn>\n +<\/mo>\n 2<\/mn>\n )<\/mo>\n <\/mrow>\n <\/mfrac>\n<\/math> =\n<\/div>\n<\/div>\n<\/div>\n\n\n\n
    \n
    \n
    \nc. \n \n \n 3<\/mn>\n (<\/mo>\n 2<\/mn>\n )<\/mo>\n –<\/mo>\n 6<\/mn>\n <\/mrow>\n \n 5<\/mn>\n (<\/mo>\n 1<\/mn>\n –<\/mo>\n 2<\/mn>\n )<\/mo>\n <\/mrow>\n <\/mfrac>\n<\/math> =\n<\/div>\n\n\n\n
    \nd. \n \n \n 4<\/mn>\n (<\/mo>\n 2<\/mn>\n –<\/mo>\n 3<\/mn>\n )<\/mo>\n <\/mrow>\n \n 5<\/mn>\n (<\/mo>\n 2<\/mn>\n )<\/mo>\n –<\/mo>\n 10<\/mn>\n <\/mrow>\n <\/mfrac>\n<\/math> =\n<\/div>\n<\/div>\n<\/div>\n<\/div>\n\n\n\n

    2. Identify the following as Prime or composite numbers:<\/p>\n\n\n\n

    \n
    \n

    a. 31<\/p>\n<\/div>\n\n\n\n

    \n

    b. 121<\/p>\n<\/div>\n\n\n\n

    \n

    c. 51<\/p>\n<\/div>\n\n\n\n

    \n

    d. 81<\/p>\n<\/div>\n\n\n\n

    \n

    e. 231<\/p>\n<\/div>\n<\/div>\n\n\n\n

    3. Factor the composite<\/span><\/strong> numbers from number 2. a, b, c, d, & e above: (e.g., 24 = 2 x 2 x 2 x 3 or 2\u00b3 x 3)<\/p>\n\n\n\n

    4. Identify the components of this expression by filling in the blank: <\/p>\n\n\n\n

    72<\/sup> + 6x + y3<\/sup> – 45<\/sup><\/p>\n\n\n\n

    \n
    \na.
    <\/div> is the base in the equation <\/p>\n<\/div>\n\n\n\n
    \nb.
    <\/div> is a coefficient <\/p>\n<\/div>\n\n\n\n
    \nc.
    <\/div> is squared<\/p>\n<\/div>\n<\/div>\n\n\n\n
    \n
    \nd.
    <\/div> is an exponent<\/p>\n<\/div>\n\n\n\n
    \ne.
    <\/div> is a variable in the equation<\/p>\n<\/div>\n\n\n\n
    \nf.
    <\/div> is cubed<\/p>\n<\/div>\n<\/div>\n\n\n\n

    5. Convert the following to mixed fractions:<\/p>\n\n\n\n

    \n
    \na. \n \n 25<\/mn>\n 3<\/mn>\n <\/mfrac>\n<\/math>\n<\/div>\n\n\n\n
    \nb. \n \n 46<\/mn>\n 7<\/mn>\n <\/mfrac>\n<\/math>\n<\/div>\n\n\n\n
    \nc. \n \n 159<\/mn>\n 14<\/mn>\n <\/mfrac>\n<\/math>\n<\/div>\n<\/div>\n\n\n\n

    6. Convert the following to improper fractions:<\/p>\n\n\n\n

    \n
    \na. \n \n 5<\/mn>\n \n 2<\/mn>\n 3<\/mn>\n <\/mfrac>\n <\/mrow>\n<\/math>\n<\/div>\n\n\n\n
    \nb. \n \n 4<\/mn>\n \n 6<\/mn>\n 7<\/mn>\n <\/mfrac>\n <\/mrow>\n<\/math>\n<\/div>\n\n\n\n
    \nc. \n \n 10<\/mn>\n \n 9<\/mn>\n 4<\/mn>\n <\/mfrac>\n <\/mrow>\n<\/math>\n<\/div>\n<\/div>\n\n\n\n

    7. Which are successfully divisible: (yes\/no)<\/p>\n\n\n\n

    \n
    \n

    a. divisible by 2?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n\n\n\n

    \n

    b. divisible by 3?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n\n\n\n

    \n

    c. divisible by 4?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n<\/div>\n\n\n\n

    \n
    \n

    d. divisible by 9?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n\n\n\n

    \n

    e. divisible by 5?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n\n\n\n

    \n

    f. divisible by 6?<\/p>\n\n\n\n

    \n 123,456 \n <\/span>\n<\/p>\n\n\n\n

    \n 371,115 \n <\/span>\n<\/p>\n\n\n\n

    \n 654,321 \n <\/span>\n<\/p>\n<\/div>\n<\/div>\n\n\n\n

    \n
    <\/span><\/span>

    Answers<\/h3><\/div><\/div>
    \n
      \n
    1. a. undefined\u00a0\u00a0\u00a0 b. 0 \u00a0\u00a0\u00a0c. 0 \u00a0\u00a0\u00a0d. undefined<\/li>\n\n\n\n
    2. a. prime\u00a0\u00a0\u00a0 b. composite\u00a0\u00a0\u00a0 c. composite\u00a0\u00a0\u00a0 d. composite\u00a0\u00a0\u00a0 e. composite<\/li>\n\n\n\n
    3. i. 121=11 x 11 or 11\u00b2\u00a0\u00a0\u00a0ii. 81=3 x 3 x 3 x 3 or 34<\/sup>\u00a0\u00a0\u00a0iii. 231=3 x 7 x 11\u00a0\u00a0\u00a0 iv. 51=3 x 17<\/li>\n\n\n\n
    4. a. bases: 7, y and 4\u00a0\u00a0\u00a0\u00a0 b. coefficients: 6 and 1\u00a0\u00a0\u00a0 c. 7\u00a0\u00a0\u00a0 d. 2, 3, and 5\u00a0\u00a0\u00a0 e. x or y\u00a0\u00a0\u00a0 f. y\u00a0<\/li>\n\n\n\n
    5. a. \\( 8 \\frac{1}{3} \\)\u00a0 b. \\( 6 \\frac{4}{7} \\)\u00a0 c. \\( 11 \\frac{5}{14} \\)<\/li>\n\n\n\n
    6. a. \\(\u00a0 \\frac{17}{3} \\)\u00a0 b. \\(\u00a0 \\frac{34}{7} \\) c. \\(\u00a0 \\frac{49}{4} \\)<\/li>\n\n\n\n
    7. \u00a0a. yes, no, no\u00a0
      b. yes, yes, yes\u00a0
      c. yes, no, no\u00a0
      d. no, yes, no\u00a0
      e. no, yes, no\u00a0
      f. yes, no, no<\/li>\n<\/ol>\n<\/div><\/div><\/div>\n<\/div><\/div><\/div><\/div>\n","protected":false},"excerpt":{"rendered":"

      a. 3 ( 5 + 2 ) 4 + ( – 4 ) = b. 4 + ( – 4 ) 3 ( 5 + 2 ) = c. 3 ( 2 ) – 6 5 ( 1 – 2 ) = d. 4 ( 2 – 3 ) 5 ( 2 ) – 10 […]<\/p>\n","protected":false},"author":12,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_eb_attr":"","footnotes":""},"yst_prominent_words":[],"class_list":["post-6148","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6148","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/users\/12"}],"replies":[{"embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/comments?post=6148"}],"version-history":[{"count":76,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6148\/revisions"}],"predecessor-version":[{"id":6226,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/pages\/6148\/revisions\/6226"}],"wp:attachment":[{"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/media?parent=6148"}],"wp:term":[{"taxonomy":"yst_prominent_words","embeddable":true,"href":"https:\/\/www.eastcentral.edu\/learning-center\/wp-json\/wp\/v2\/yst_prominent_words?post=6148"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}