7:[["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"Quiz\",\"name\":\"Quiz 1\",\"description\":\"Equivalent expressions quiz\",\"url\":\"https://theschoolofmathematics.com/quiz/psat-8-9-equivalent-expressions-quiz-1\",\"timeRequired\":\"PT20M\",\"educationalLevel\":\"Fundamental\",\"numberOfQuestions\":10,\"isAccessibleForFree\":true,\"about\":{\"@type\":\"Thing\",\"name\":\"Advanced Math: Equivalent expressions\"}}"}}],["$","script",null,{"type":"application/ld+json","dangerouslySetInnerHTML":{"__html":"{\"@context\":\"https://schema.org\",\"@type\":\"BreadcrumbList\",\"itemListElement\":[{\"@type\":\"ListItem\",\"position\":1,\"name\":\"Home\",\"item\":\"https://theschoolofmathematics.com\"},{\"@type\":\"ListItem\",\"position\":2,\"name\":\"Quizzes\",\"item\":\"https://theschoolofmathematics.com/quiz\"},{\"@type\":\"ListItem\",\"position\":3,\"name\":\"Quiz 1\",\"item\":\"https://theschoolofmathematics.com/quiz/psat-8-9-equivalent-expressions-quiz-1\"}]}"}}],["$","div",null,{"className":"bg-gradient-to-b from-white via-gray-50 to-white","children":["$","div",null,{"className":"container mx-auto px-4 py-8 md:py-12","children":[["$","div",null,{"className":"mb-12","children":["$undefined",["$","div",null,{"className":"mb-8","children":["$","h1",null,{"className":"text-4xl md:text-5xl lg:text-6xl font-bold text-gray-900 mb-4","children":"Quiz 1"}]}],["$","div",null,{"className":"bg-white rounded-2xl shadow-lg p-6 md:p-8 border border-gray-200","children":[["$","div",null,{"className":"text-lg md:text-xl text-gray-700 mb-8 leading-relaxed prose prose-lg max-w-none","dangerouslySetInnerHTML":{"__html":"

Equivalent expressions quiz

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Practice on equivalent expressions.

"},"excerpt":{"rendered":"

Equivalent expressions quiz

"},"featured_media":0,"featured_media_url":"$undefined","acf":{"duree_estimee":20,"niveau_difficulte":"Fundamental","categorie":"Advanced Math: Equivalent expressions","nombre_questions":10,"score_minimum":90,"ordre_questions":"Fixe","questions":[{"id":"cmrk8ez3y0x53jg8wq738608i","texte_question":"

Which expression is equivalent to $$8x+5x+2y+7y$$?

","type_question":"QCM","explication":"

Combine like terms. The $$x$$-terms are: $$8x+5x$$ Add the coefficients. $$8x+5x=13x$$ The $$y$$-terms are: $$2y+7y$$ Add the coefficients. $$2y+7y=9y$$ So the expression becomes: $$13x+9y$$ Final answer: $$13x+9y$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$13x+9y$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$13x+5y$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$10x+9y$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$8x+14y$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez410x59jg8wf982rb96","texte_question":"

Which expression is equivalent to $$(6xy)(2y)(3z)$$?

","type_question":"QCM","explication":"

Multiply the coefficients first. $$6\\cdot2\\cdot3=36$$ Now multiply the variables. $$x\\cdot y\\cdot y\\cdot z=xy^2z$$ So the expression is: $$36xy^2z$$ Final answer: $$36xy^2z$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$36xy^2z$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$36x^2yz$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$12xy^2z$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$36xyz$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez450x5fjg8wp7y7sk0b","texte_question":"

Which of the following is equivalent to $$3x^3+6$$?

","type_question":"QCM","explication":"

Find the greatest common factor. The terms are: $$3x^3$$ and: $$6$$ The greatest common factor is: $$3$$ Factor out $$3$$. $$3x^3+6=3(x^3+2)$$ Final answer: $$3(x^3+2)$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$3(x^3+2)$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$6(x^3+1)$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$3(x^3+6)$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$6(x^3+2)$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez480x5ljg8w1p870o24","texte_question":"

Which expression is equivalent to $$12(x^2-5)$$?

","type_question":"QCM","explication":"

Distribute $$12$$ to each term inside the parentheses. $$12(x^2-5)=12(x^2)-12(5)$$ Simplify. $$12x^2-60$$ Final answer: $$12x^2-60$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$12x^2-60$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$12x^2-5$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$24x^2-60$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$12x^2+60$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4c0x5rjg8wj9g79p9z","texte_question":"

Which expression is equivalent to $$18w-(6w+4w)$$?

","type_question":"QCM","explication":"

Simplify inside the parentheses first. $$6w+4w=10w$$ So the expression becomes: $$18w-10w$$ Subtract like terms. $$18w-10w=8w$$ Final answer: $$8w$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$8w$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$10w$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$12w$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$14w$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4f0x5xjg8wlwdzmn7f","texte_question":"

Which expression is equivalent to $$x^{\\frac{1}{5}}$$, where $$x$$>$$0$$?

","type_question":"QCM","explication":"

A fractional exponent represents a root. The rule is: $$x^{\\frac{1}{n}}=\\sqrt[n]{x}$$ Here: $$n=5$$ So: $$x^{\\frac{1}{5}}=\\sqrt[5]{x}$$ Final answer: $$\\sqrt[5]{x}$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

$$\\sqrt{x^5}$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$x\\sqrt{x}$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\sqrt[5]{\\frac{1}{x}}$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$\\sqrt[5]{x}$$

","correcte":true,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4j0x63jg8wdg1xfguf","texte_question":"

Which expression is equivalent to $$6x^2+9x$$?

","type_question":"QCM","explication":"

Find the greatest common factor of the terms. The terms are: $$6x^2$$ and: $$9x$$ The greatest common factor is: $$3x$$ Factor out $$3x$$. $$6x^2+9x=3x(2x+3)$$ Final answer: $$3x(2x+3)$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$3x(2x+3)$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$6x(x+9)$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$9x(6x+1)$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$3x^2(2+3x)$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4m0x69jg8wdtfwkc5n","texte_question":"

Which expression is equivalent to $$14x^3-9x^3$$?

","type_question":"QCM","explication":"

Combine like terms. Both terms are $$x^3$$-terms. Subtract the coefficients. $$14x^3-9x^3=(14-9)x^3$$ $$14-9=5$$ So: $$14x^3-9x^3=5x^3$$ Final answer: $$5x^3$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"$$$5x^3$$","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$23x^3$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$5x^6$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$23x^6$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4p0x6fjg8wkkrlhlsx","texte_question":"

Which of the following is equivalent to $$4(x+6)-8$$?

","type_question":"QCM","explication":"

Distribute $$4$$. $$4(x+6)-8=4x+24-8$$ Combine constants. $$24-8=16$$ So the expression becomes: $$4x+16$$ Final answer: $$4x+16$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

$$4x+16$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$4x+24$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$4x-2$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$4x+32$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]},{"id":"cmrk8ez4s0x6ljg8w7osfhsxb","texte_question":"

Given $$(x+7)+(3x-5)$$, which of the following is equivalent to the given expression?

","type_question":"QCM","explication":"

Remove the parentheses. $$(x+7)+(3x-5)=x+7+3x-5$$ Combine like terms. $$x+3x=4x$$ $$7-5=2$$ So the expression becomes: $$4x+2$$ Final answer: $$4x+2$$.

","points":1,"temps_limite":"$undefined","reponses":[{"texte":"

$$4x+2$$

","correcte":true,"explication":"","imageUrl":"$undefined"},{"texte":"

$$4x+12$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$3x+2$$

","correcte":false,"explication":"","imageUrl":"$undefined"},{"texte":"

$$4x-12$$

","correcte":false,"explication":"","imageUrl":"$undefined"}]}]},"categories":["advanced-math-equivalent-expressions"],"date":"2026-06-04T09:04:47.370Z","modified":"2026-07-14T05:49:52.312Z"}}],["$","div",null,{"className":"container mx-auto px-4 pb-12","children":["$","$L18",null,{"targetType":"quiz","targetSlug":"psat-8-9-equivalent-expressions-quiz-1"}]}]]}]}]]

Quiz 1

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