ACCUPLACER-Sample-Elementary-Algebra-Questions-for-Students-The-College-Board

Sep 29, 2026

Upload by Fahsai

ACCUPLACER Elementary Algebra sample questions provide 12 multiple-choice items covering numbers and quantities, algebraic expressions, and problem solving. The questions assess integer and rational-number concepts such as computation, absolute value, and ordering; evaluate and simplify expressions including monomials and polynomials, exponents, algebraic fractions, and factoring; and require translating verbal statements into algebraic equations or inequalities. The set includes an answer key for 20 questions spanning elementary algebra skills.

LanguageEnglish

CategoryExam

FormatPDF

Pages5

Reading Time13 min

AccessFree to download

Elementary Algebra

Content Areas

Sample Questions

Answer Key

ACCUPLACER® Sample Questions for Students © 2016 The College Board. College Board, ACCUPLACER, WritePlacer and the acorn logo are registered trademarks ofthe College Board. All other products and services may be trademarks oftheir respective owners. Visit the College Board on [the Web: www.collegeboard.org](the Web: www.collegeboard.org). Elementary Algebra There are 12 questions administered on the Elementary Algebra test, divided into the following content areas: • Numbers and quantities. Topics include integers and rational numbers, computation with integers and negative rationals, absolute value, and ordering. • Algebraic expressions. Topics include evaluation of simple formulas and expressions, adding and subtracting monomials and polynomials, multiplying and dividing monomials and polynomials, evaluating positive rational roots and exponents, simplifying algebraic fractions, and factoring. • Problem solving. Topics include translating written phrases into algebraic expressions, solving linear equations and inequalities, quadratic equations (by factoring), and verbal problems presented in an algebraic context. Elementary Algebra Sample Questions For each of the questions below, choose the best answer from the four choices given. You may use the paper you received as scratch paper. 1. IfA represents the number of apples purchased at 15 cents each, and B represents the number of bananas purchased at 10 cents each, which of the following represents the total value of the purchases in cents? A. A + B B. 25(A + B) C. 10A + 15B D. 15A + 10B 2. √ 2 × √ 15 = ? A. √ 17 B. √ 30 C. 17 D. 30 3. What is the value of the expression 2x2 + 3xy – 4y2 when x = 2 andy = –4? A. –80 B. –32 C. 32 D. 80 4. In the figure below, both circles have the same center, and the radius of the larger circle is R. If the radius of the smaller circle is 3 units less than R, which of the following represents the area of the shaded region? A. πR2 B. π(R – 3)2 C. πR2 – π × 32 D. πR2 – π(R – 3)2 5. (3x – 2y)2 = A. 9x2 – 4y2 B. 9x2 + 4y2 C. 9x2 – 6xy + 4y2 D. 9x2 – 12xy + 4y2 © 2016 The College Board. ACCUPLACER SAMPLE QUESTIONS 􀀗􀀏 􀀘􀀏 􀀙 . 􀀚􀀏 􀀒􀀑􀀏 􀀒􀀒􀀏 *G Y 􀀓􀀍 UIFO ~~ ~~Y􀀓Y~~ ~~~~ ~~􀀕–~~ ~~6 􀀞 A. Y o 􀀔 2 B. YY~~ ~~–o~~ ~~􀀔2~~ ~~$􀀏 Y o 􀀔 Y 􀀌 􀀓%􀀏 􀀔2~~ ~~ 􀀕 o 􀀉o􀀗􀀊 􀀞 – 5 ". \#􀀏 $􀀏 %􀀏 o􀀓 􀀓 o 􀀖 􀀓 􀀖 􀀓 *G 􀀓Y o 􀀔􀀉Y 􀀌 􀀕􀀊 􀀞 o􀀖􀀍 UIFO Y 􀀞"􀀏 o􀀒􀀘 \#􀀏 –7 $􀀏 7 %. 􀀒􀀘 o􀀔􀀉􀀖 o 􀀗􀀊 o 􀀕􀀉􀀓 o 􀀔􀀊 􀀞 "􀀏 o􀀘\#􀀏 o􀀒$􀀏 1 %􀀏 􀀘 􀀓􀀑 o 􀀕􀀖~~ ~~ Y 􀀒􀀗 8IJDI PGUIF GPMMPXJOH JOFRVBMJUJFT JT FRVJWBMFOU UP UIFJOFRVBMJUZ TIPXO BCPWF "􀀏 Y ȳ 􀀖 \#􀀏 Y ≥ 5 $􀀏 Y ȳ 6􀀓5 %􀀏 Y ȴ 􀀗􀀓􀀖 8IJDI PGUIF GPMMPXJOH MJTUT PG OVNCFST JT PSEFSFE GSPN MFBTU UP HSFBUFTU "􀀏 o 􀀒 􀀍 o ~~ ~~􀀔 􀀓 􀀔 􀀔 􀀖 􀀍 􀀔 􀀍 􀀖\#􀀏 o 􀀔 􀀍 o~~ ~~􀀒 􀀔 ~~ ~~2 􀀖 􀀔 􀀍 􀀖 􀀍 􀀔$􀀏 o 􀀒 􀀍 o ~~ ~~􀀔 􀀔 􀀓 􀀔 􀀖 􀀍 􀀖 􀀍 􀀔%􀀏 o ~~ ~~􀀔􀀖~~ ~~ 􀀍 o 􀀔􀀒 􀀍 􀀔􀀓~~ ~~ 􀀍 􀀖􀀔 􀀒􀀓􀀏 *G 􀀖U 􀀌 􀀓 􀀞 􀀗􀀍 UIFO U 􀀞 "􀀏 􀀙 \#􀀏 􀀖􀀕~~ ~~ $􀀏 􀀕􀀖~~ ~~ D. o􀀙 􀀒􀀔􀀏 'PS XIJDI PGUIF GPMMPXJOH FRVBUJPOT BSF Y 􀀞 􀀖 BOE Y 􀀞 o􀀖 CPUI TPMVUJPOT "􀀏 Y􀀓 􀀌 􀀓􀀖 􀀞 􀀑 \#􀀏 Y􀀓 o 􀀓􀀖 􀀞 􀀑 C. Y􀀓 􀀌 􀀒􀀑Y o 􀀓􀀖 􀀞 􀀑 %􀀏 Y􀀓 o 􀀖Y o 􀀓􀀖 􀀞 􀀑 􀀒􀀕􀀏 *G Y ȶ 􀀑􀀍 UIFO V 􀀌 􀀖V Vo 􀀞 Y Y 􀀖Y A. \#􀀏 $􀀏 %􀀏 􀀘Y 􀀖V 􀀖V 􀀘Y 􀀓􀀚V 􀀖Y 􀀔􀀒V 􀀖Y 􀀒􀀖􀀏 o􀀓 o􀀒 􀀑 􀀒 􀀓 5IF TPMVUJPO TFU PG XIJDI PGUIF GPMMPXJOH JOFRVBMJUJFT JT HSBQIFE PO UIF OVNCFS MJOF BCPWF "􀀏 􀀓Y ¦ 􀀕 ȴ ¦􀀔 B. 􀀓Y 􀀌 􀀖 ȳ 􀀗 $􀀏 􀀔Y ¦ 􀀒 ȳ 􀀖 %􀀏 􀀕Y ¦ 􀀒 ȴ 􀀘 􀀒􀀗􀀏 􀀓Y 􀀌 􀀗Z 􀀞 􀀖 Y 􀀌 􀀔Z 􀀞 􀀓 )PX NBOZ TPMVUJPOT 􀀋Y 􀀍 Z􀀌 BSF UIFSF UP UIF TZTUFN PG FRVBUJPOT BCPWF "􀀏 /POF \#􀀏 0OF $􀀏 5XP %􀀏 .PSF UIBO UXP 􀀒􀀘􀀏 8IJDI PGUIF GPMMPXJOH JT B GBDUPS PG CPUI Y􀀓 o Y o 􀀗 BOEY􀀓 o 􀀖Y 􀀌 􀀗 "􀀏 Y o 􀀔 \#􀀏 Y o 􀀓 $􀀏 Y 􀀌 􀀓 %􀀏 Y 􀀌 􀀔 © 2016 The College Board. ACCUPLACER SAMPLE QUESTIONS 18. 10x6 + 8x4 = 2x2 A. 9x12 B. 14x4 C. 5x4 + 4x2 D. 5x3 + 2x2 19. A rectangular yard has area 96 square feet. If the width of the yard is 4 feet less than the length, what is the perimeter, in feet, of the yard?

FAQs

How many sample questions are included for the Elementary Algebra test content areas?

The document states there are 12 questions administered for the Elementary Algebra test, divided across numbers and quantities, algebraic expressions, and problem solving.

What topics are covered under numbers and quantities?

Topics include integers and rational numbers, computation with integers and negative rationals, absolute value, and ordering.

How is the test practice format presented?

Each question asks the student to choose the best answer from four answer choices, and the document provides an answer key at the end.

Sep 29, 2026

Upload by Fahsai