Deck 1: Topics From Algebra

Question 1

Simplify the expression.

A)
B)
C)
D)
E)

Answer 1

D

Question 2

A large grain silo is to be constructed in the shape of a circular cylinder with a hemisphere attached to the top (see the figure). The diameter of the silo is to be 36 feet, but the height is yet to be determined. Find the height h of the silo that will result in a capacity of 15,876 ft ³ .

A) feet
B) feet
C) feet
D) feet
E) feet

Answer 2

A

Question 3

Write the expression in the form , where a and b are real numbers.

A)
B)
C)
D)
E)

Answer 3

B

Question 4

Archeologists can determine the height of a human without having a complete skeleton. If an archeologist finds only a humerus, then the height of the individual can be determined by using a simple linear relationship. (The humerus is the bone between the shoulder and the elbow.) For a female, if x is the length of the humerus (in centimeters), then her height h (in centimeters) can be determined using the formula .
For a male, should be used.
A female skeleton having a 31-centimeter humerus is found. Find the woman's height at death.

A) centimeters
B) centimeters
C) centimeters
D) centimeters
E) centimeters

Question 5

Express as a sum of terms of the form where r is a rational number.

A)
B)
C)
D)
E)

Question 6

Express as a polynomial.

A) 7x ⁶ z ⁵ - y ³
B) 7x ⁴ z ⁵ - y ³
C) 7x ⁶ yz ⁵ - y ²
D) 7x ⁶ z ⁵ - y ²
E) 7x ⁴ z ⁵ - y ²

Question 7

Rewrite the expression using a radical.

A)
B)
C)
D)
E)

Question 8

Express as a quotient.

A)
B)
C)
D)
E)

Question 9

Solve the inequality. $| 2 x + 13 | \leq - 13$

A) $\left( - \infty , - \frac { 13 } { 2 } \right)$
B) $\left[ - \frac { 13 } { 2 } , \frac { 13 } { 2 } \right]$
C) $\left( - \infty , \frac { 13 } { 2 } \right]$
D) $\left( - \frac { 13 } { 2 } , \frac { 13 } { 2 } \right)$
E) No solution

Question 10

Express the interval (2, 11) as an inequality in the variable x.

A)
B)
C)
D)
E)

Question 11

Find the solutions of the equation.

A)
B)
C)
D)
E) no solutions

Question 12

Approximate the real-number expression. Express the answer in scientific notation accurate to four significant figures.

A)
B)
C)
D)
E)

Question 13

Express the inequality as an interval.

A)
B)
C)
D)
E)

Question 14

Approximate the real-number expression to four decimal places. $( - 5.05 ) ^ { \frac { 13 } { 3 } }$

A) -1,116.8247
B) -1,115.9247
C) 1,115.9247
D) 1,115.8247
E) -1,115.8247

Question 15

The two given numbers are coordinates of points and , respectively, on a coordinate line. Express the indicated statement as an inequality involving the absolute value symbol. , is at least

A)
B)
C)
D)
E)

Question 16

Solve the formula for p.

A)
B)
C)
D)
E)

Question 17

Simplify the expression.

A)
B)
C)
D)
E)

Question 18

Solve the equation.

A)
B)
C)
D)
E)

Question 19

Find the solutions of the equation.

A)
B)
C)
D)
E)

Question 20

O'Carroll's formula is used to handicap weight lifters. If a lifter, who weighs kilograms, lifts kilograms of weight, then the handicapped weight W is given by: Suppose two lifters weighing 73 kilograms and 89 kilograms lift weights of 273 kilograms and 210 kilograms, respectively. Use O'Carroll's formula to determine the superior weight lifter.

A) the 73-kg lifter
B) the 89-kg lifter

Question 21

Solve the inequality.

A)
B)
C)
D)
E)

Question 22

Solve the inequality. $- 2 < | x | < 9$

A) $( - 9 , - 2 ) \cup ( 2,9 )$
B) $( - 9,9 )$
C) $( - 2,9 )$
D) $( - \infty , - 2 ) \cup ( 9 , \infty )$
E) $( 0,9 )$

Question 23

The braking distance d (in feet) of a certain car traveling v mi/hr is given by the equation Determine the velocities that result in braking distances of less than 30 feet.

A)
B)
C)
D)
E)

Question 24

Solve the inequality.

A)
B)
C)
D)
E)

Question 25

Solve the inequality.

A)
B)
C)
D)
E)