1097 ALGEBRA I (PACE)
FIND THE PRODUCTS... (b)(-2b^2)(6ab)
-12ab^(1+2+1) 12ab^4
SUBTRACT THE SECOND TERM FROM THE FIRST... -16b^2, 20b^2
-16b^2 - 20b^2 -16b^2 + -20b^2 -36b^2
SIMPLIFY; PUT ANY NEGATIVE SIGNS IN FRONT OF THE FRACTION, NOT IN THE NUMERATOR OR DENOMINATOR... -50x^2y / 25xy
-2x^(2-1)y^(1-1) -2x^1y^0 -2x(1) -2x
SUBTRACT THE SECOND TERM FROM THE FIRST TERM... -320, 200
-320-200 -320+(-200) -520
SIMPLIFY... 24a^7 / -8a^5
-3a^(7-5) -3a^2
MULTIPLY... (-9a^2)(5a^2)
-45a^(2+2) -45a^4
SUBTRACT THE SECOND TERM FROM THE FIRST... -6x, -4x
-6x - (-4x) -6x + 4x -2x
EVALUATE THE EXPRESSION IF a=1, b=2, c=3, and d=4... 1/2a^5b^3d
1/2a^5b^3d 1/2 * (1*1*1*1*1)(2*2*2)(4) 1/2 * (1)(8)(4) 1/2 * (8)(4) 1/2 * (32) 16
FIND THE ROOT... √(1/16)
1/4
MULTIPLY... (25xy^3)(4xy)(x^2y^2)
100x^(1+1+2) y^(3+1+2) 100x^4y^6
SUBTRACT THE SECOND TERM FROM THE FIRST TERM... 10ab, -7ab
10ab-(-7ab) 10ab+(7ab) 17ab
FIND THE PRODUCTS... (4a^2b)(3ab)(-2ab^2)(-5)
120a^(2+1+1)b^(1+1+2) 120a^4b^4
SIMPLIFY... 125/-5
125/-5 -25
ADD THESE NUMBERS... 14, -8, -6, 4
14+4=18 -8+(-6)=-14 18+(-14) 4
EVALUATE THE EXPRESSION IF a=1, b=2, c=3, and d=4... 15d
15d 15(4) 60
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... 2 + x^2
2 + x * x
FIND THE ROOT... ∛(8/27)
2/3
FIND THE ROOTS... ∛8/27
2/3
SUBTRACT THE SECOND TERM FROM THE FIRST... 259, -73
259 - (-73) 332
SIMPLIFY... 14a^2b / 7a^2b
2a^(2-2)b^(1-1) 2(1)(1) 2
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... 3a + ac (2ab - c) + ad
3(4) + (4)(2)[(2(4)(3) - (2)] + (4)(0) 12 + 8[8(3) - 2] + 0 12+8(22) 12+176 188
ADD THESE NUMBERS... 3, -5, 2, -6
3+2=5 -5+(-6)=-11 5+(-11) -6
MULTIPLY... (360)(1/2)
360/2 180
COMBINE THE TERMS THAT CAN BE COMBINED. INDICATE THE OTHERS IN DESCENDING POWERS OF x OR a... 3a + 2b - 3a + 1 - 3
3a + 2b - 3a + 1 - 3 3a - 3a + 2b + 1 - 3 2b -2
COMBINE THE TERMS THAT CAN BE COMBINED. INDICATE THE OTHERS IN DESCENDING POWERS OF x OR a... 2x + x + 25y - y - 4
3x + 24y -4
COMBINE THE TERMS THAT CAN BE COMBINED. INDICATE THE OTHERS IN DESCENDING POWERS OF x OR a... 3x^2 - 2xy + 4x^2 - 3xy + y^2
3x^2 - 2xy + 4x^2 - 3xy + y^2 3x^2 + 4x^2 - 2xy - 3xy + y^2 7x^2 - 5xy + y^2
SIMPLIFY THE POLYNOMIALS. PLACE TERMS IN DESCENDING POWERS OF x OR a... 3x^2 - 5y^2 + 2xy + 6x^2
3x^2+6x^2+2xy-5y^2 9x^2 + 2xy -5y^2
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "four times the square of one number minus five times another number"
4x^2-5y
EVALUATE THE EXPRESSION IF a=1, b=2, c=3, and d=4... 4√c^2d
4√c^2d 4√3^2 * 4 4√(3*3) * 4 4√9(4) 4√36 4 * 6 24
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "the product of five and a number"
5x
COMBINE THE TERMS THAT CAN BE COMBINED. INDICATE THE OTHERS IN DESCENDING POWERS OF x OR a... 25ab + 6a^2 - 3b^2 + 6
6a^2 + 25ab - 3b^2 + 6
ADD THESE NUMBERS... 72, -12, 15, -3
72+15=87 -12+(-3)=-15 87+(-15) 72
COMBINE THE TERMS THAT CAN BE COMBINED. INDICATE THE OTHERS IN DESCENDING POWERS OF x OR a... 720 + 40 - 60 - 120 +15
720 + 40 - 60 - 120 +15 add all positives... 720 + 40 + 15 = 775 add all negatives... -60 + -120 = -180 now subtract them... 775-180 595
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "seven times the cube of a number"
7x^3
SIMPLIFY THE POLYNOMIALS. PLACE TERMS IN DESCENDING POWERS OF x OR a... 7xy + 3xy - 4xy + xy
7xy+3xy+xy=11xy 11xy-4xy 7xy
FIND THE ROOTS... √64
8
FIND THE ROOT... √81
9
1 CORINTHIANS 15:58
Therefore, my beloved brethren, be ye steadfast, unmovable, always abounding in the work of the Lord, forasmuch as ye know that your labour is not in vain in the Lord.
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... (a + b) - (c + d)
[(4)+(3)] - [(2)+(0)] 7-2 5
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... (a - b) - (c - d)
[(4)-(3)] - [(2)-(0)] 1-2 -1
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... a^3b^2
a * a * a * b * b
SIMPLIFY; PUT ANY NEGATIVE SIGNS IN FRONT OF THE FRACTION, NOT IN THE NUMERATOR OR DENOMINATOR... -16a^3b^2c^2 / -64a^2bc
a^(3-2)b^(2-1)c^(2-1) / 4 a^1b^1c^1 / 4 abc/4
SIMPLIFY... a^2b^2c^3 / 2a^5b^3c^3
a^(5-5)c^(3-3) / 2b^(3-2) a^0c^0 / 2b^1 (1)(1) / 2b 1/2b
SIMPLIFY THE POLYNOMIALS. PLACE TERMS IN DESCENDING POWERS OF x OR a... a^3 - 2b^3 + 3a^2b^2 - 2b^3 + 4a^3
a^3+4a^3+3a^2b^2-2b^3-2b^3 5a^3+3a^2b^2-4b^3
a polynomial consisting of the sum or difference of exactly two terms
binomial
In the term 25xy, 25 is the __________ of xy.
coefficient
A small numeral written at the upper right of a base to show how many times the base is used as a factor is a/an __________ .
exponent
Small numeral written at the upper right of a base to show how many times the base is used as a factor
exponent
numeral or letter written above and to the left of a radical sign to indicate the required root
index
a polynomial with exactly one term
monomial
In combining terms, which operations are performed first? addition and subtraction OR multiplication and division
multiplication and division
any algebraic expression with one or more terms
polynomial
the symbol placed over an expression to denote that some indicated root is to be found
radical sign
terms that have the same variables and the same exponents for corresponding variables
similar (like)
a number or quantity obtained by dividing a given expression into its two equal factors
square root
an algebraic expression consisting of a single numeral or letter, or the product or quotient of numerals and/or letters
term
a polynomial consisting of the sum or difference of exactly three terms
trinomial
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... x^2
x*x OR (x)(x)
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... x^3y^2
x*x*x*y*y
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... x^3 + 3
x*x*x+3
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "a number decreased by six"
x-6
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "the square of x multiplied by the fourth power of y"
x^2y^4
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... √ab^2
√(4)(3)^2 √(4)(3*3) √(4)(9) √36 6
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "the square root of a number"
√x
WRITE THE PHRASE USING ALGEBRAIC SYMBOLS... "the cube root of a number"
∛x
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... (4 + x)^3
(4 + x)(4 + x)(4 + x)
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... ad+bc / ac
(4)(0) + (3)(2) / (4)(2) 0+6 /8 6/8 OR 3/4
EVALUATE THESE EXPRESSION IF a=4, b=3, c=2, AND d=0... a^2 - 2ac + c^2
(4)^2 - 2(4)(2) + (2)^2 (4*4) - 2(8) + (2*2) 16-16+4 4
EVALUATE THE EXPRESSION IF a=1, b=2, c=3, and d=4... (a + b) - (c - d)
(a + b) - (c - d) [(1) + (2)] - [(3) - (4)] 3 - (-1) 3 + 1 4
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... (x + 2)^2
(x+2)(x+2)
INDICATE THE MEANING OF THE EXPRESSION BY WRITING THE TERMS WITH MULTIPLICATION SIGNS OR PARENTHESES... (xy)^2
(xy)(xy) OR x*x*y*y
SIMPLIFY... -x^3y^3 / x^4y^5
- 1 / x^(4-3)y^(5-3) - 1 / x^1y^2 - 1 / xy^2