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mathematics
college algebra
Questions and Answers of
College Algebra
The least common denominator of two fractions is the (sum / product) of all the different (terms / factors) from each denominator, with each factor raised to the (least / greatest) power that occurs
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = X x + 3
What is the LCD for the expressions 4 a and 2 a + 6 -?
Consider the following incorrect “solution.”Solution set: {1} Give the correct solution set. X 1 9 X -8 x-9 = -8x 9x = 9 x = 1
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x)= 6x - 5 7x + 1
Give the domain of the variable in each equation. 1 3x + 1 X 3 2x ||
Simplify. ترا | ال 6
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 5 7t || 52 7 3 t
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = 8x - 3 2x + 7
As review, add or subtract the rational numbers as indicated. Write answers n lowest terms. 8 4 + 15 15
Give the domain of the variable in each equation. 5 6х | 8 2x || x 4
Simplify. 3 4 5 12
Simplify. 5 6 4 ·la
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. x-5 3 1 + 3 +Te || x - 2 5
As review, add or subtract the rational numbers as indicated. Write answers in lowest terms. 5 9 + 16 16
Give the domain of the variable in each equation. 1 x + 1 1 x-2 = 0
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x)= = 12x + 3 X
As review, add or subtract the rational numbers as indicated. Write answers in lowest terms. 5 6 0010 8 9
Simplify. 5 9 2 + 1 3 1 3 6
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 7 5 + x9 3.4
Simplify. 7100 8 1 3 2 m 100 3 4 8
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = 9x + 8 X
Give the domain of the variable in each equation. 3 x + 4 2 x-9 = 0
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. +|× 4 x 8 x + 1 = 0
As review, add or subtract the rational numbers as indicated. Write answers in lowest terms. 3 4 5 6
Simplify. 2- 5 4 4 +3
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = 3x + 1 2x²+x-6
Give the domain of the variable in each equation. 3x + 1 x-4 6х + 5 2х - 7
Simplify. 413 1 2 3 100 8
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 6 x + 1 2 X 1 X 14 x + 1
As review, add or subtract the rational numbers as indicated. Write answers in lowest terms. 5 18 + 7 12
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x)= 3x² 2x + 4 + 11x42
Give the domain of the variable in each equation. 4x 1 2x + 3 12x - 25 6x - 2
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 8 r+2 7 4r + 8
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. X x + y + 2y x - y
Use either method to simplify each complex fraction. 12 x-1 9 X
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = = x + 2 14
Use either method to simplify each complex fraction. 24 t+4 6 1 t
Give the domain of the variable in each equation. 6 4x + 7 3 X 5 6x - 13
Add or subtract as indicated. 7 2 + t N|
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = = x-9 26
Give the domain of the variable in each equation. 4 3x - 5 + 2 x || 9 4x + 13
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 3р2 - бр р+5 p2 - 4 8p +
Give the domain of the variable in each equation. 1 x² - 16 2 1 x 4 x + 4
Add or subtract as indicated. 5 r 9 r
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. x-2. 5 9 8 8 - 4x
Use either method to simplify each complex fraction. k+1 2k 3k - 1 4k
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) 2x² - 3x + 4 3x² + 8 -8
Use either method to simplify each complex fraction. 1-r 4r 1+r 8r
Add or subtract as indicated. x9 7 + 7
Give the domain of each rational function using (a) Set-builder notation (b) Interval notation f(x) = 9x² - 8x + 3 4x² + 1
Add or subtract as indicated. 12t S + 5 5
Give the domain of the variable in each equation. 2 x²25 1 x + 5 || 1 x-5
Use either method to simplify each complex fraction. 4z²x4 9 12x²z5 15
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. a - 4 3 + 11 6 a + 1 2
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 4 21 7 10
Give the domain of the variable in each equation. 2 x² - x + 1 x + 3 4 x - 2
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 5 x² - 2x 2. 3 2-4
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 5 9 12 25
Add or subtract as indicated. 11 5x 1 5x
Give the domain of the variable in each equation. 3 x² + x 1 x + 5 2 x - 7
Use either method to simplify each complex fraction. 3у²х3 -3 8 9y3x4 16
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 1 3 + t - 1 t || 7/2 t 2
Add or subtract as indicated. 7 4у 3 4у
Use either method to simplify each complex fraction. 1 X +1 1 X +1
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 3 100 5 12
Solve each equation. 3 4x || 5 7 4 2/0 2x
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 5 3 y 9x² - 25y² ху
Add or subtract as indicated. 9 4x3 17 4x3
Solve each equation. 2 3x || 6 5x + ѝ/00 45
Use either method to simplify each complex fraction. 2 k 2/4 k 1 + 1
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 5 14 1 6 15
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 4 1+ 1 t t + 4 t
Add or subtract as indicated. 6 5y4 21 5y4
Use either method to simplify each complex fraction. +9 7- 1 3 X
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 2 3 100 8 9
Add or subtract as indicated. 5x+4 6x + 5 + x + 1 6x + 5
Solve each equation. X 24 X = -2
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 3r r-2 = 1 + 6 r - 2
Use either method to simplify each complex fraction. 4 9+ P 5 P
As review, multiply or divide the rational numbers as indicated. Write answers in lowest terms. 39 14 m 100
Solve each equation. P + = -8 15 P
Use either method to simplify each complex fraction. 3 X 3 X + 3 y 3 У
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 7 2x² - 8x + 3 x²16
Add or subtract as indicated. 6y + 12 4y + 3 + 2y6 4y + 3
Which rational expressions are equivalent to - x/y? A. -y B. X -y C. 4 y D. X E. 리 y F. T -y
Solve each equation. X 4 21 4x -1
Use either method to simplify each complex fraction. 4 t 4 + 4 S 4 S
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. b² + b − 6 b² + 8b +
Which rational expression can be simplified? A. x² + 2 +% z.x B. x² + 2 2 C. x² + y² y² D. r2 – 5x X
Add or subtract as indicated. x² x + 5 1 25 x + 5
Solve each equation. X 2 12 X = 1
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 10z² - 5z 3z³ -
Add or subtract as indicated. у2 у +6 36 у +6
Use either method to simplify each complex fraction. 8x - 24y 10 x - 3y 5x
Which rational expression is not equivalent to x - 3/4 - x? A. 3-x x - 4 B. x + 3 4 + x C. 3 - x 4-x D. - x-3 x - 4
Solve each equation. x - 4 x + 6 || 2x + 3 2x - 1
Identify each exercise as an expression or an equation. Then either simplify the expression by performing the indicated operation, or solve the equation, as appropriate. 4y² 13y + 3 4y² +
Which two rational expressions are equivalent to -1? A. 2x + 3 2x - 3 B. 2x - 3 3 - 2x C. 2x + 3 3 + 2x D. 2x + 3 -2x - 3
Add or subtract as indicated. 4 P + p² +7p+ 12 p² + 7p + 12
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