Answers TX-Algebra II BUnit Test

Unit Test — Unit test Answers

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Which function has the domain ?

y = StartRoot x + 11 EndRoot + 5

y = StartRoot x minus 11 EndRoot + 5

y = StartRoot x + 5 EndRoot minus 11

y = StartRoot x + 5 EndRoot + 11

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If the range of and the range of are the same, which statement is true about the value of m?

m can only equal 1.

m can be any positive real number.

m can be any negative real number.

m can be any real number.

What is the solution of ?

x = 142

x = 232

x = 322

no solution

Which equation is the inverse of ?

y = one-sixth x squared minus four-thirds x + StartFraction 43 Over 9 EndFraction

y = 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot

y = negative 4 plus-or-minus StartRoot 6 x minus StartFraction 34 Over 3 EndFraction EndRoot

negative (x minus 4) squared minus two-thirds = negative 6 y + 12

Which equation is the inverse of y = 9x2 – 4?

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 9 EndFraction

y = plus-or-minus StartRoot StartFraction x Over 9 EndFraction + 4 EndRoot

y = StartFraction plus-or-minus StartRoot x + 4 EndRoot Over 3 EndFraction

y = StartFraction plus-or-minus StartRoot x EndRoot Over 3 EndFraction + two-thirds

Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrants 1 and 2. It starts at x = 3.

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2. It starts at x = negative 3.

On a coordinate plane, an absolute value curve opens up and to the right in quadrants 3 and 4. It starts at x = negative 3.

Which function is undefined for x = 0?

y = RootIndex 3 StartRoot x minus 2 EndRoot

y = StartRoot x minus 2 EndRoot

y = RootIndex 3 StartRoot x + 2 EndRoot

y = StartRoot x + 2 EndRoot

What is the domain of the function ?

x greater-than-or-equal-to negative 5

x greater-than-or-equal-to 2

x greater-than-or-equal-to 5

x greater-than-or-equal-to 10

The orbital period, P, of a planet and the planet’s distance from the sun, a, in astronomical units is related by the formula . If Saturn’s orbital period is 29.5 years, what is its distance from the sun?

9.5 AU

19.7 AU

44.3 AU

160.2 AU

Which function has the same domain as ?

y = StartRoot 2 x EndRoot

y = 2 RootIndex 3 StartRoot x EndRoot

y = StartRoot x minus 2 EndRoot

y = RootIndex 3 StartRoot x minus 2 EndRoot

The speed that a tsunami can travel is modeled by the equation , where S is the speed in kilometers per hour and d is the average depth of the water in kilometers. What is the approximate depth of water for a tsunami traveling at 200 kilometers per hour?

0.32 km

0.75 km

1.12 km

3.17 km

Which equation is the inverse of y = 100 – x2?

y = plus-or-minus StartRoot 100 minus x EndRoot

y = 10 plus-or-minus StartRoot x EndRoot

y = 100 plus-or-minus StartRoot x EndRoot

y = plus-or-minus StartRoot x minus 100 EndRoot

Which equation is related to ?

x + 10 = x2 + x + 1

x + 10 = x2 + 2x + 1

x + 10 = x2 + 1

x + 10 = x2 – 1

What is the solution of ?

x = twelve-fifths

x = negative twelve-fifths

x = –6 or x = –3

no solution

Which function has the same range as ?

g (x) = StartRoot x minus 3 EndRoot minus 8

g (x) = StartRoot x minus 3 EndRoot + 8

g (x) = negative StartRoot x + 3 EndRoot + 8

g (x) = negative StartRoot x minus 3 EndRoot minus 8

Which of the following is the graph of ?

On a coordinate plane, an absolute value curve opens down and to the right in quadrant 1 and starts at (0, 0).

On a coordinate plane, an absolute value curve opens down and to the left in quadrant 2 and starts at (0, 0).

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 2).

On a coordinate plane, an absolute value curve opens up and to the right in quadrant 4 and starts at (0, 0). It goes through (5, negative 9).

Which of the following is a radical equation?

x StartRoot 3 EndRoot = 13

x + StartRoot 3 EndRoot = 13

StartRoot x EndRoot + 3 = 13

x + 3 = StartRoot 13 EndRoot

The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is . What height on the wall will a 15-foot ladder reach if it is placed 3.5 feet from the base of a wall?