1001 Algebra Problems.PDF

COMMON ALGEBRA ERRORS– 975.log 5 (5x2) = 2log 5 (5x) = 2[log 5 (5) + log 5 (x)] = 2[1 + log 5 (x)] a.The first equality is inc ...

983.The graph of the function f(x) = x^82 – – 6 x 4 has an open hole at x= 8. a.The graph actually has a vertical asymptote at ...

COMMON ALGEBRA ERRORS– 990.The graph ofy= f(x) – 2 is obtained by shifting the graph ofy= f(x)down 2 units. a.The graph ofy= f ...

COMMON ALGEBRA ERRORS– 995.The matrix equation has infinitely many solutions. a.Since the determinant of the coefficient matri ...

COMMON ALGEBRA ERRORS– a.You cannot add a 22 matrix and a real number because their dimensions are different. Therefore, ...

Section 1—Pre-Algebra Fundamentals Set 1(Page 2) b.Multiply the contents of each set of paren- theses first. Then, multiply the ...

d.Multiplying 5 times 5 yields 25. Then, mul- tiplying this product by 5 results in 125. Thus, 5  5 5= 125. c.By the definiti ...

a.Applying the order of operations, first per- form the exponentiation. Then, compute the quantities enclosed with parentheses. ...

Set 3 (Page 5) a.Express both fractions using the least com- mon denominator, then add:^59 – ^14 = ^59  44 – ^14 ^9 ...

b.Apply the order of operations: 1 + (^75 ^130 ) = 1 + (^75 ^53 ^2 ) = 1 + ^130 (–^170 )(^75  ) = 1 ...

d.Apply the order of operations and exponent rules: –(^25 )^0 (–3^2 + 2– 3)–1= –1( – 9 + )–1 = –1( – 9 + ^18 )–1 = –1( ...

b.The point A is exactly halfway between –2 and –3 on the number line; therefore, its value is –2.5. c.Since the digit in the t ...

b.Apply the order of operations as follows: 2(3)(6) – ( – 8) = 36 + 8 = 44 c.Apply the order of operations as follows: y= –( ...

a.The expression described by the phrase “3x^2 is multiplied by the quantity 2x^3 yraised to the fourth power” can be expressed ...

Set 9(Page 15) b.According to the order of operations, we perform exponentiation first, then multiplica- tion, and then subtrac ...

b.The phrase “p percent” can be represented symbolically as  1 p 00 . As such, since we are decreasing qby this quantity, the ...

b. 2.3(4 – 3.1x) = 1 – 6.13x 9.2 – 7.13x= 1 – 6.13x 9.2 – 7.13x+ 7.13x= 1– 6.13x+ 7.13x 9.2 = 1 + x 9.2 – 1 = 1 – 1 + x 8.2 = x ...

b. ^52 (x– 2) + 3x= 3(x + 2) – 10 ^52 x– 5 + 3x= 3x+ 6 – 10 ^121 x– 5 = 3x– 4 ^121 x– 3x– 5 = –4 ^52 x= –4 + 5 = 1 x= ...

d. a= ^7 b 4 –4 4 a= 4^7 b 4 –4 4 a= 7b– 4 4 a+ 4 = 7b b= ^4 a 7 +4 b. ^2 x 5 +8= ^5 x 6 –6 30 ^2 x 5 +8= 30^ ...

d. ax + b = cx + d ax– cx=d– b (a – c)x = (d – b) = ((da––bc)) x= da––bc a.Let x be the smallest of the four whole num- ber ...