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Questions and Answers of College Algebra

Solve each equation. 5r – 3 x + 2 5r – 1 x + 3
Use either method to simplify each complex fraction. 20x - 10y 12y 2x - y 6y²
Use either method to simplify each complex fraction. 6 y-4 12 y²-16
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. -2 a² + 2a - 3 5 3 -
Add or subtract as indicated. 5 x² + x - 20 + X x² + x - 20
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-x 2 x - 3
Add or subtract as indicated. - 3x + 7 x² + 2x - 8 + 8x + 13 x² + 2x - 8
Solve each equation. 3x + 1 x-4 6х + 5 2х - 7
Use either method to simplify each complex fraction. 8 t+7 24 1² - 49
Add or subtract as indicated. 5x+6 4 - 3x + x² + 11x + 30 x² + 11x + 30
Solve each equation. 4x 1 2x + 3 12x - 25 6x - 2
Consider the expressions x - 2/4 and 2x/4. Only one of these expressions is not in lowest terms. Which one is it and why? Write it in lowest terms.
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 3k + 9 8 15 || 2 5k + 15
Add or subtract as indicated. a³ a² + ab + b² b3 a² + ab + b²
A student was asked to simplify the rational expressionand wrote the incorrect answer x + y/4x + y. What is the correct answer? 2x + y 4x + 2y
Use either method to simplify each complex fraction. x² - 16y² xy 1 y 4 X
Identify the two terms in the numerator and the two terms in the denominator of the rational expression x2 + 4x/x + 4, and write it in lowest terms.
Solve each equation. 1 y-1 + -2 12 Зу - 3 5 nis ||
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. 2 y+1 3 y²-y-2 3 y-2
Add or subtract as indicated. p³ 9³ + p²pq+q² p² - pq+q²
Use either method to simplify each complex fraction. 41²-95² st 2 3 St
A student was asked to simplify the rational expressionand wrote the incorrect answer +1/-1. What is the correct answer? 9-0 D q+D
Solve each equation. 11 4 m+29 1 3m + 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. 62² - 5z - 6 62² +52 -
Use either method to simplify each complex fraction. 1 b² 1 b 1 a² 1 a
Write each rational expression in lowest terms. x²(x + 1) x(x + 1)
Solve each equation. -2 3t - 6 -1 36 -3 4t - 8
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.18x2y3, 24x4y5
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. 3 3 2 y = 3 _y – 5y + 6, y
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.24a3b4, 18a5b2
Use either method to simplify each complex fraction. 1 x -12 у 1 y
Write each rational expression in lowest terms. y³(y - 4) y²(y - 4)
Solve each equation. 6 t + 1 34 15 || -4 5t + 5
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. 2k + 5 k - 1 3k - 2|K k
Write each rational expression in lowest terms. (x + 4)(x-3) (x + 5)(x + 4)
Use either method to simplify each complex fraction. x + y 1 1 y X
Solve each equation. 7 6x + 3 1 3 || 2 2x + 1
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.z - 2, z
Use either method to simplify each complex fraction. S s-r 1 r 1 S
Write each rational expression in lowest terms. (2x + 7)(x - 1) (2x + 3)(2x + 7)
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.x + 3, x
Solve each equation. 3 4m + 2 || 17 2 7 2m + 1
Use either method to simplify each complex fraction. y 4 49 у-3 3 + 2 Зу
Write each rational expression in lowest terms. 4x(x + 3) 8x²(x − 3)
Solve each equation. 9 X 4 6х - 3 2 6x - 3
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.2y + 8, y + 4
Use either method to simplify each complex fraction. P 3 4 p + 2 4 5 2p
Write each rational expression in lowest terms. 5y² (y + 8) 15y(y - 8)
Solve each equation. 5 n + 4 6 - 3n || 2 6-3n
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.3r - 21, r - 7
Use either method to simplify each complex fraction. x2 2 1 EX 1 1 ६/-/६/- 1
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.x2 - 81, x2 + 18x + 81
Write each rational expression in lowest terms. 3x + 7 3
Solve each equation. 6 x - 4 5 + x || -20 x² - 4x
Use either method to simplify each complex fraction. 1 1 Jy2 1 x2
Write each rational expression in lowest terms. 4x - 9 4
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.y2 - 16, y2 - 8y + 16
Solve each equation. 7 x - 4 + 3 X - 12 x² - 4x
Use either method to simplify each complex fraction. x + 2 x 5 X + + 1 x + 2 X x + 2
Write each rational expression in lowest terms. 6m + 18 7m + 21
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.m + n, m - n, m2 - n2
Solve each equation. 3 x + 2 2 x²-4 1 x-2
Use either method to simplify each complex fraction. y + 3 y y y - 1 4 y-1 1 + y
Write each rational expression in lowest terms. 5r - 20 3r - 12
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.r + s, r - s, r2 - s2
Solve each equation. 3 x-2 + 21 x²4 || 14 x + 2
When simplifying the expressiona student noted the negative exponents in the denominator and wrote his answer as x2 + y2. This is incorrect. 1 x-2+y-2²
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.x2 - 3x - 4, x + x2
Write each rational expression in lowest terms. 3z²+z 182 + 6
Solve each equation. 1 3 5 y + 2 y +7 y² +9y + 14
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.y2 - 8y + 12, y2 - 6y
A student simplifying the expressionas her first step. This is a common error. a-2 - 4b-2 3b - ба wrote 1 1 a² 46² 3b - 6а
Write each rational expression in lowest terms. 2x² - 5x 16x - 40
Solve each equation. 1 4 + t + 3 t + 5 2 1² + 8t + 15
Solve each equation. 15x2 - 7x = 4
Factor each polynomial. 16 - (x + 3y)²
An arrow is shot upward from a platform 40 ft high with an initial velocity of 224 ft per sec. Its height h in feet after t seconds is modeled by the functionAfter how many seconds will the arrow be
Find the slope of the line passing through the points (-4, 8) and (-2, 6).
Complete each factoring. 16p²-4pq - 2q² = 2(2p-q)(-
Which one of the following is not a factored form of -x2 - x + 12? A. (3-x)(x + 4) C. (x+3)(x + 4) B. (x3)(x + 4) D. (x − 3)(x + 4) -
Factor each polynomial. 64 - (r + 2t)²
The following exercises are of mixed variety. Factor each polynomial.54m3 - 2000
Factor completely.24x - 2x2 - 2x3
Solve each equation. 12x2 + 4x = 5
The following exercises are of mixed variety. Factor each polynomial.mn - 2n + 5m - 10
Factor completely.6b3 - 9b2 - 15b
Factor each trinomial. y2 + 7y - 30
Solve each equation. 4p2 + 16p = 0
Solve each equation.3x2 + 8x = -4
Use the function ƒ(x) = 2x + 7 to find each of the following.ƒ(-4)
Factor each polynomial. p4 - 256
The following exercises are of mixed variety. Factor each polynomial.9m2 - 30mn + 25n2
Factor completely.y4 + 2y2 - 8
Factor each trinomial.z2 + 2z - 24
Solve each equation. 2t2 + 8t = 0
Use the function ƒ(x) = 2x + 7 to find each of the following.The x-intercept of its graph
Solve each equation.3x2 - 5x = 0
Factor each polynomial. a4 - 625
The following exercises are of mixed variety. Factor each polynomial.2a2 - 7a - 4
Factor completely.2k4 - 5k2 - 3

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