Answers TX-College Prep Math BUnit Test

Unit Test — Unit test Answers

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Which equation demonstrates the multiplicative identity property?

(negative 3 + 5 i) + 0 = negative 3 + 5 i

(negative 3 + 5 i ) (1) = negative 3 + 5 i

(negative 3 + 5 i) (negative 3 + 5 i) = negative 16 minus 30 i

(negative 3 + 5 i) (3 minus 5 i) = 16 + 30 i

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If the complex number x = 3 + bi and |x|2 = 13, which is a possible value of b?

Which equations can be used to find the lengths of the legs of the triangle? Select three options.

0.5(x)(x + 2) = 24

x(x + 2) = 24

x2 + 2x – 24 = 0

x2 + 2x – 48 = 0

x2 + (x + 2)2 = 100

Which equation describes the relationship between the variables in the table below?xy-11928146,561559,049

; each y-value is the previous y-value multiplied by 9.

; each y-value is the previous y-value plus 9 more than was added previously.

; each y-value is the previous y-value plus 9.

; each y-value is the previous y-value multiplied by another 9.

A rectangle’s length is three times its width, w. Its area is 243 square units. Which equation can be used to find the width of the rectangle?

w2 = 3(243)

3w2 = 243

4w2 = 243

3w2 = 3(243)

Which property of addition is shown in the equation below?a + bi + 0 + 0i = a + bi

commutative property

inverse property

identity property

associative property

Marshall bought 32 ounces of mixed nuts, which are estimated to be 30% peanuts. Which expression can be used to find the percentage of peanut concentration of the final mix if he adds x ounces of peanuts?

Option

Which equation illustrates the identity property of multiplication?

(a + bi) × c = (ac + bci)

(a + bi) × 0 = 0

(a + bi) × (c + di) = (c + di) × (a + bi)

(a + bi) × 1 = (a + bi)

Which values of x and y would make the following expression represent a real number?(4 + 5i)(x + yi)

x = 4, y = 5

x = –4, y = 0

x = 4, y = –5

x = 0, y = 5

What is the additive inverse of the complex number 9 – 4i?

–9 – 4i

–9 + 4i

9 – 4i

9 + 4i

The product of two consecutive integers is 420. Which quadratic equation can be used to find x, the lesser number?

x2 + 1 = 420

x2 + 2 = 420

x2 + x = 420

x2 + 2x = 420

Which complex number is represented by the point graphed on the complex plane below?

–4 + 3i

3 + 4i

3 – 4i

4 + 3i

Using the quadratic formula to solve 4x2 – 3x + 9 = 2x + 1, what are the values of x?

StartRoot 1 plus-or-minus StartRoot 159 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 153 EndRoot i Over 8 EndFraction

StartRoot 5 plus-or-minus StartRoot 103 EndRoot i Over 8 EndFraction

StartRoot 1 plus-or-minus StartRoot 153 EndRoot Over 8 EndFraction

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find the length of the rectangle?

l(l – 2) = 168

l(l + 2) = 168

2l 2 = 168

l 2 = 168

If f(x) = x3 – 2x2, which expression is equivalent to f(i)?

–2 + i

–2 – i

2 + i

2 – i

A rectangle’s width is 2 meters shorter than its length, l. Its area is 168 square meters. Which equation can be used to find the length of the rectangle?

l(l – 2) = 168

l(l + 2) = 168

2l 2 = 168

l 2 = 168

Megan borrowed $50,000 at 5% simple interest for 6 years. Joseph borrowed $60,000 at 4% simple interest for 8 years. The formula can be used to calculate the monthly payment, m, where P is the principle amount borrowed, r is the rate expressed as a decimal, and t is the amount of time for the loan, in years. Who will have a greater monthly payment, and by how much?