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Questions and Answers of College Algebra

Decide whether each expression is equal to 1, -1, i, or -i. -V-1
Multiply. Assume that all variables represent positive real numbers. √3. √3
Solve each equation. √6k-1=1
Match each expression in Column I with the equivalent choice in Column II.-62/4 A. -4 C. √3 E. -3 G. 4 I. 6 II B. 8 D. -√6 F. √6 H. -2 J. Not a real number
Match each expression in Column I with the equivalent choice in Column II. Answers may be used once, more than once, or not at all.4√16 A. 3 C. 2 E. -4 II B. -2 D. -3 F. Not a real number
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. √3(√12 - 4)
Solve each equation. V7x3=6
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 61 6√5-7√5
Match each expression in Column I with the equivalent choice in Column II.360.5 A. -4 C. √3 E. -3 G. 4 I. 6 II B. 8 D. -√6 F. √6 H. -2 J. Not a real number
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. (3√5 +2√7)²
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. √5(√125-6)
Multiply. Assume that all variables represent positive real numbers. √5. √5
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3√2-4√2
Match each expression in Column I with the equivalent choice in Column II. Answers may be used once, more than once, or not at all.-3√64 A. 3 C. 2 E. -4 II B. -2 D. -3 F. Not a real number
Solve each equation. V4r + 3 + 1 = 0
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. -3 √6
Decide whether each expression is equal to 1, -1, i, or -i.i2
Decide whether each expression is equal to 1, -1, i, or -i. 1 i
Multiply. Assume that all variables represent positive real numbers. V18. √2
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. 5(√72-√8)
Choose the closest approximation of each square root. Do not use a calculator. V123 A. 9 B. 10 C. 11 D. 12
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. -2√48 + 3√75
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 8 SA+LA
Decide whether each expression is equal to 1, -1, i, or -i.-i2
Solve each equation. V5k 3 + 2 = 0
Multiply. Assume that all variables represent positive real numbers. V12 V3
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. 7(V50 - V18)
A student incorrectly evaluated 271/3 as 9. Evaluate 271/3 correctly.
A student evaluating 16-3/2 incorrectly suggested that the result is a negative number because the exponent is negative. Evaluate 16-3/2 correctly.
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 4√32-2√8
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 1-√2 1+ √₂ 2
Decide whether each expression is equal to 1, -1, i, or -i. (-i)²
Choose the closest approximation of each square root. Do not use a calculator. V67 A. 7 B. 8 C. 9 D. 10
Solve each equation. V3x + 1 - 4 = 0
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. V2(√18-√3)
Multiply. Assume that all variables represent positive real numbers. 9, ۹۸۰۶۸
Evaluate each exponential.1691/2
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 5√6 +2√10
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. (√5 + 7)(√5-7)
Write each number as a product of a real number and i. Simplify all radical expressions. V-169
Refer to the figure to answer each question.Which one of the following is the best estimate of its area?A. 50 B. 100 C. 250 D. 2500 V/26 √98
Solve each equation. V5x + 1 - 11 = 0
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (SA+SIA)SA
Evaluate each exponential. 1211/2
Multiply. Assume that all variables represent positive real numbers. V10 V3
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3√11-5√13
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 1 √x - √5' x = 5
Multiply. Assume that all variables represent positive real numbers. V23. Vt
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√3+3)(√5 + 2)
Write each number as a product of a real number and i. Simplify all radical expressions.√ - 225
Refer to the figure to answer each question.Which one of the following is the best estimate of its perimeter?A. 15 B. 30 C. 100 D. 250 V/26 √98
Solve each equation. 4-√x - 2 = 0
Evaluate each exponential. 7291/3
Multiply, and then simplify each product. Assume that all variables represent positive real numbers. (√2+1)(√3+1)
Multiply. Assume that all variables represent positive real numbers. V14. Vx
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3 16 + 4354
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 8a³b5c⁹
Consider the expression -√-a. Decide whether it is positive, negative, 0, or not a real number in each case. (a) a > 0 (b) a < 0 (c) a = 0
Solve each equation. 9-√4x + 1 = 0
Add or subtract to simplify each radical expression. Assume that all variables represent positive real numbers. 3/24 - 2/192
Evaluate each exponential.5121/3
Perform the indicated operations, and express each answer in simplest form. Assume that all variables represent positive real numbers. 15 V9
Solve each problem.Graph -4x + 2y = 8 and give the intercepts.
Solve each formula for the specified variable. PV T pv for v (chemistry)
Solve each equation. 1 X 4 3x || 1 x - 2 X
Solve each formula for the specified variable. PV T pv for T (chemistry)
Solve each equation. A = Rr R+r for r
The strength of a contact lens is given in units called diopters and also in millimeters of arc. As the diopters increase, the millimeters of arc decrease. The rational functionrelates the arc
Solve each equation. y y + 2 1 y-2 || 8 y²-4
Determine whether each equation represents direct, inverse, joint, or combined variation.y = 3x z4
Add or subtract as indicated. N | 00 8 3 2z²
Solve for the variable ℓ in this formula from mathematics: s = 2(a + e). S
Add or subtract as indicated. 5y + 13 y + 1 1-7y y + 1
Solve each formula for the specified variable. I = nE R + nr for r (engineering)
Determine whether each equation represents direct, inverse, joint, or combined variation. y= = 4x WZ
Solve each formula for the specified variable. a = V-V for V (physics)
Find the slope of each line described.Passing through (-5, 8) and (-1, 2)
Determine whether each equation represents direct, inverse, joint, or combined variation.y = 6x3z2
Find the slope of each line described.Perpendicular to 4x - 3y = 12
At a certain gasoline station, 3 gal of unleaded gasoline cost $12.27. How much would 13 gal of the same gasoline cost?
Find the slope of each line described.Write an equation of the line in Exercise 16. Give the equation in the form y = mx + b.Data from in Exercise 16Passing through (-5, 8) and (-1, 2)
Nurses use proportions to determine the amount of a drug to administer when the dose is measured in milligrams but the drug is packaged in a diluted form in milliliters.For example, to find the
Add or subtract as indicated. 6 5а + 10 + 7 6a + 12
Nurses use proportions to determine the amount of a drug to administer when the dose is measured in milligrams but the drug is packaged in a diluted form in milliliters.For example, to find the
Solve each equation. 3 X 9 x-8 -2
Simplify each expression, using only positive exponents in the answer. к1+P k-1 - 3p-2 -2
The volume of a rectangular box of a given height is jointly proportional to its width and length. A box with width 2 ft and length 4 ft has volume 12 ft3. Find the volume of a box with the same
Write each rational expression in lowest terms. x² + 2x - 15 x² + 6x + 5
Solve each equation. 2 4x + 7 + X 3 || 6 12x + 21
Write each rational expression in lowest terms. y² - 5y - 14 y² + y = 2
Solve each equation. 3 2x + 5 + X 2 || 9 6x + 15
Simplify each expression, using only positive exponents in the answer. X-2 x-²-y-l x2 + 4y-1 -2
If Marin can mow her yard in 3 hr, what is her rate (in terms of the proportion of the job per hour)?
Consider the following incorrect work.Give the correct answer. X x + 2 x 4x 1 x + 2 4x 1 - x + 2 -3x - 1 x + 2
Suppose that the given expressions are denominators of rational expressions. Find the least common denominator (LCD) for each group of denominators.2x - 6, x2 - x - 6, (x + 2)2
On a test a student wrote the answerHis friend claimed that this is wrong and that the correct answer isThe friend’s assertion is incorrect. X-9 I-
Simplify each expression, using only positive exponents in the answer. -1 X x¹ + 2y-¹ 2y + 4x
Write each rational expression in lowest terms. 8x² 10x3 8x² - 6x9
Solve each equation. 1 1 + x-2 4 4(x² - 4)
Ben bought 8.5 gal of gasoline and paid $33.32. What is the price of gasoline per gallon?

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