# ACE Grade 9 Math PACEs (Algebra)

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (torn out from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. This set includes Math PACEs 1097-1108 which covers:

• Monomial and polynomial expressions.
• Algebraic addition, subtraction, multiplication, and division.
• Complex fractions: reducing, simplifying, and solving word problems.
• Algebraic graphs-linear equations, consistent, inconsistent, and dependent in word problems.
• Quadratic equations, factoring, positive and negative numbers, averages, percents, interest, ratios, and proportions, and translating word problems to algebraic equations.
• The Pythagorean theorem.

Paperback booklets. Grade 9. Algebra 1. PACEs 1097-1108.

Answers are not included, but are available in the sold-separately SCORE key.

• This answer key set includes four PACE SCORE keys that cover Math PACEs 1097-1108. Keys are three-hole-punched, and have each page and question number clearly labeled; answers are line-listed. Test and workbook exercises included. Worked-out solutions are given for select equations. 4 booklets. Grade 9.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1097 covers algebraic operations; algebraic expressions; radicals; simplifying expressions; positive and negative numbers; polynomials; and more.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1098 covers verifying the root of an equation; solving simple equations by transposing terms and canceling identical terms; using the Multiplicative Axiom of Equality to change the signs in an equation; removing parentheses; solving word problems with sums and differences of two unknown numbers; applying algebra to word problems; and more.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1099 covers adding and subtracting monomials with unknown and numerical exponents; arranging polynomials in order; subtracting, multiplying, and dividing polynomials; and more.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

This single ACE "PACE" score key includes the answers for the sold-separately Math PACEs 1097, 1098, and 1099. Test and workbook exercises included; answers are line-listed. This key is three-hole-punched. 58 pages, booklet. Grade 9Select equation answers are worked out.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1098 covers simplifying and evaluating algebraic expressions; multiplying two binomials; square and multiplying binomials; factoring trinomials with positive and negative terms; and do more complex factoring of polynomials.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1101 covers reducing fractions to lowest terms; factoring polynomials; finding the LCM of a group of numbers; adding and subtracting fractions with unlike denominators; simplifying complex fractions; solving fractional equations.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1102 covers graphing numbers on a number line; graphing linear equations of one and two variables on a coordinate plane; solving for one unknown in in terms of the other unknown before substituting; solving a system of two simultaneous equations by addition when none of the coefficients of like terms are additive inverses.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

This single ACE "PACE" score key includes the answers for the sold-separately Math PACEs 1100, 1101, and 1102. Test and workbook exercises included; answers are line-listed. This key is three-hole-punched. 58 pages, booklet. Grade 9

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1103 covers sets, Venn diagrams, inequalities on a number line; conjunctions and disjunctions plus graphing their solution sets, and graphing the solution set of a system of linear inequalities with two unknowns on a coordinate plane.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1104 reviews exponents, simplifying fractions, roots, simplifying radical expressions, and using the Pythagorean Theorem.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1105 covers solving radical equations; solving quadratic equations, and solving word problems with the quadratic formula.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

This single ACE "PACE" score key includes the answers for the sold-separately Math PACEs 1103, 1104, and 1105. Test and workbook exercises included; answers are line-listed. This key is three-hole-punched. 58 pages, booklet. Grade 9

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1106 covers solving word problems involving averages, percents, interest, perimeter, area, volume, bodies in motion, two-digit numerals, and common two-number word problems.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1107 covers simplifying ratios, solving proportions with an unknown, understanding the direct and inverse variation which can exist between two variables in a given equation.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

Students will develop foundational math skills needed for higher education and practical life skills with ACE's Math curriculum. Algebra 1 PACE 1108 reviews the concepts found in the previous Algebra 1 PACEs.

Word problems, example exercises, and practice exercises help with mastery of the lessons. Paperback booklet. Grade 9.

Answers are in the sold-separate PACE SCORE Key booklet.

Accelerated Christian Education (ACE) curriculum has Scripture as its foundation, fully integrating biblical principles, wisdom, and character-building concepts into education. Students move at their own speed through the self-instructional "PACE" workbooks. Following the mastery approach, PACEs are formatted for students to complete the exercises found throughout the workbook, take a practice "self test," and conclude with a "final test" (removed from the center) to measure understanding.

This single ACE "PACE" score key includes the answers for the sold-separately Math PACEs 1106, 1107, and 1108. Test and workbook exercises included; answers are line-listed. This key is three-hole-punched. 58 pages, booklet. Grade 9