Question 1

Evaluate the expression. $5 \cdot 2 ^ { 3 }$

Accepted Answer

A)  38 
B)  41 
C)  44 
D)  37 
E)  40 
A)  38 
B)  41 
C)  44 
D)  37 
E)  40

Question 2

Solve: $\frac { 2 } { 3 } x - 8 = - 4$

Accepted Answer

The answer of Solve: \(\frac { 2 } { 3...

Question 3

If a triangle has two sides with equal measures, it is called a(n) __________ triangle.

Accepted Answer

If a triangle has tw

Question 4

Two angles are complementary. The larger angle is nine degrees more than eight times the smaller. Find the measure of the smaller angle. ________ ∘

Accepted Answer

The answer of Two angles are complementary. The larger angle...

Question 5

A number b is a(n) __________ root of a if $b ^ { 2 } = a$.

Accepted Answer

The answer of A number b is a(n) __________ root...

Question 6

A store owner wants to mix 30 pounds of peanuts that sell for $2 a pound with cashews that sell for $8 a pound to get a mixture of mixed nuts that sells for $3.50 a pound. If x is the number of pounds of cashews, which of the following equations would solve the problem?

Accepted Answer

A)  60 + 8 x = 3.50 
B)  30 + 8 x = 3.50(30 + x ) 
C)  30 + x = 3.50 
D)  60 + 8 x = 3.50(30 + x ) 
A)  60 + 8 x = 3.50 
B)  30 + 8 x = 3.50(30 + x ) 
C)  30 + x = 3.50 
D)  60 + 8 x = 3.50(30 + x )

Question 7

Evaluate $\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ for a = 4, b = 2, $c = - \frac { 3 } { 4 }$

Accepted Answer

A)  4 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  none of these 
A)  4 
B)  $\frac { 3 } { 7 }$ 
C)  $\frac { 1 } { 4 }$ 
D)  none of these

Question 8

Translate the verbal model into a mathematical model. The weight of a super-size s order of French Fries is four times that of a regular-size r order.

Accepted Answer

The answer of Translate the verbal model into a mathematical...

Question 9

Which of the following is a true inequality?

Accepted Answer

A) $- 20 > - 6$ B) $| - 20 | < 6$ C) $0 < - 7$ D) $- 20 < - 6$ A) $- 20 > - 6$ B) $| - 20 | < 6$ C) $0 < - 7$ D) $- 20 < - 6$

Question 10

Graph the set on a number line. $\left\{ - \frac { 5 } { 2 } , - 0.5,2.142765 \ldots , \frac { \pi } { 4 } , - \sqrt { 11 } , 2 \sqrt { 3 } \right\}$

Accepted Answer

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

Question 11

Solve: $\frac { 3 } { 2 } ( x + 7 ) + 0.375 = 0.75 ( x + 5 ) - \frac { 3 } { 8 }$

Accepted Answer

The answer of Solve: \(\frac { 3 } { 2...

Question 12

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 } \right\}$ that belong to the set of real numbers.

Accepted Answer

A)  $- 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1,2,4.45,7,15 . \overline { 6 }$ 
B)  $0,1,2,7$ 
C)  $- 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 }$ 
D)  $\sqrt { 3 } , \pi$ 
E)  $- 3,0,1,2,7$ 
A)  $- 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1,2,4.45,7,15 . \overline { 6 }$ 
B)  $0,1,2,7$ 
C)  $- 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 }$ 
D)  $\sqrt { 3 } , \pi$ 
E)  $- 3,0,1,2,7$

Question 13

Evaluate the expression. $( 3 + 2 \cdot 3 ) ^ { 4 }$

Accepted Answer

The answer of Evaluate the expression. \(( 3 + 2...

Question 14

A jet ski can go 13 mph in still water. If a rider goes upstream for 5 hours against a current of 2 mph, how long will it take the rider to return?
 ( Hint: Upstream speed is (13 - 2) mph; how far can the rider go in 5 hours?
) __________ hours

Accepted Answer

The answer of A jet ski can go 13 mph...

Question 15

Insert either a > or a symbol to make a true statement. 5.999 ____ 5.1

Accepted Answer

A)   
A)

Question 16

Two long-distance runners leave the starting gate, one running 9 mph and the other 8 mph. If they maintain the pace, how long will it take for them to be one-quarter of a mile apart?

Accepted Answer

A)  $\frac { 1 } { 4 } \mathrm { hr }$ 
B)  $\frac { 1 } { 8 } \mathrm { hr }$ 
C)  $\frac { 1 } { 17 } \mathrm { ht }$ 
D)  $\frac { 1 } { 36 } h$ 
E)  $\frac { 4 } { 17 } \mathrm { hr }$ 
A)  $\frac { 1 } { 4 } \mathrm { hr }$ 
B)  $\frac { 1 } { 8 } \mathrm { hr }$ 
C)  $\frac { 1 } { 17 } \mathrm { ht }$ 
D)  $\frac { 1 } { 36 } h$ 
E)  $\frac { 4 } { 17 } \mathrm { hr }$

Question 17

The __________ of a three-dimensional geometric solid is the amount of space it encloses.

Accepted Answer

A)  circumference 
B)  perimeter 
C)  area 
D)  volume 
A)  circumference 
B)  perimeter 
C)  area 
D)  volume

Question 18

A(n) __________ equation in one variable can be written in the form $a x + b = c$ where a , b , and c are real numbers and $a \neq 0 .$

Accepted Answer

The answer of A(n) __________ equation in one variable can...

Question 19

Solve the formula for the specified variable. 
$V = \frac { 1 } { 3 } B h \text { for } B$

Accepted Answer

The answer of Solve the formula for the specified variable....

Question 20

Solve the equation. Check the result. $\frac { 5 z + 6 } { 6 } + \frac { 6 z - 10 } { 30 } = \frac { z - 5 } { 5 }$

Accepted Answer

The answer of Solve the equation. Check the result. \(\frac...

Evaluate the expression. $5 \cdot 2 ^ { 3 }$

Solve: $\frac { 2 } { 3 } x - 8 = - 4$

If a triangle has two sides with equal measures, it is called a(n) __________ triangle.

Two angles are complementary. The larger angle is nine degrees more than eight times the smaller. Find the measure of the smaller angle. ________ ∘

A number b is a(n) __________ root of a if $b ^ { 2 } = a$ .

A store owner wants to mix 30 pounds of peanuts that sell for $2 a pound with cashews that sell for $8 a pound to get a mixture of mixed nuts that sells for $3.50 a pound. If x is the number of pounds of cashews, which of the following equations would solve the problem?

Evaluate $\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ for a = 4, b = 2, $c = - \frac { 3 } { 4 }$

Translate the verbal model into a mathematical model. The weight of a super-size s order of French Fries is four times that of a regular-size r order.

Which of the following is a true inequality?

Graph the set on a number line. $\left\{ - \frac { 5 } { 2 } , - 0.5,2.142765 \ldots , \frac { \pi } { 4 } , - \sqrt { 11 } , 2 \sqrt { 3 } \right\}$

Solve: $\frac { 3 } { 2 } ( x + 7 ) + 0.375 = 0.75 ( x + 5 ) - \frac { 3 } { 8 }$

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 } \right\}$ that belong to the set of real numbers.

Evaluate the expression. $( 3 + 2 \cdot 3 ) ^ { 4 }$

A jet ski can go 13 mph in still water. If a rider goes upstream for 5 hours against a current of 2 mph, how long will it take the rider to return? ( Hint: Upstream speed is (13 - 2) mph; how far can the rider go in 5 hours? ) __________ hours

Insert either a > or a symbol to make a true statement. 5.999 ____ 5.1

Two long-distance runners leave the starting gate, one running 9 mph and the other 8 mph. If they maintain the pace, how long will it take for them to be one-quarter of a mile apart?

The __________ of a three-dimensional geometric solid is the amount of space it encloses.

A(n) __________ equation in one variable can be written in the form $a x + b = c$ where a , b , and c are real numbers and $a \neq 0 .$

Solve the formula for the specified variable. $V = \frac { 1 } { 3 } B h \text { for } B$

Solve the equation. Check the result. $\frac { 5 z + 6 } { 6 } + \frac { 6 z - 10 } { 30 } = \frac { z - 5 } { 5 }$

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Exam 1: A Review of Basic Algebra

Evaluate the expression. 5⋅235 \cdot 2 ^ { 3 }5⋅23

Solve: 23x−8=−4\frac { 2 } { 3 } x - 8 = - 432​x−8=−4

If a triangle has two sides with equal measures, it is called a(n) __________ triangle.

Two angles are complementary. The larger angle is nine degrees more than eight times the smaller. Find the measure of the smaller angle. ________ ∘

A number b is a(n) __________ root of a if b2=ab ^ { 2 } = ab2=a .

A store owner wants to mix 30 pounds of peanuts that sell for $2 a pound with cashews that sell for $8 a pound to get a mixture of mixed nuts that sells for $3.50 a pound. If x is the number of pounds of cashews, which of the following equations would solve the problem?

Evaluate −b+b2−4ac2a\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a }2a−b+b2−4ac​​ for a = 4, b = 2, c=−34c = - \frac { 3 } { 4 }c=−43​

Translate the verbal model into a mathematical model. The weight of a super-size s order of French Fries is four times that of a regular-size r order.

Which of the following is a true inequality?

Graph the set on a number line. {−52,−0.5,2.142765…,π4,−11,23}\left\{ - \frac { 5 } { 2 } , - 0.5,2.142765 \ldots , \frac { \pi } { 4 } , - \sqrt { 11 } , 2 \sqrt { 3 } \right\}{−25​,−0.5,2.142765…,4π​,−11​,23​}

Solve: 32(x+7)+0.375=0.75(x+5)−38\frac { 3 } { 2 } ( x + 7 ) + 0.375 = 0.75 ( x + 5 ) - \frac { 3 } { 8 }23​(x+7)+0.375=0.75(x+5)−83​

List the elements of {−3,−85,0,23,1,3,2,π,4.45,7,15.6‾}\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 } \right\}{−3,−58​,0,32​,1,3​,2,π,4.45,7,15.6} that belong to the set of real numbers.

Evaluate the expression. (3+2⋅3)4( 3 + 2 \cdot 3 ) ^ { 4 }(3+2⋅3)4

A jet ski can go 13 mph in still water. If a rider goes upstream for 5 hours against a current of 2 mph, how long will it take the rider to return? ( Hint: Upstream speed is (13 - 2) mph; how far can the rider go in 5 hours? ) __________ hours

Insert either a > or a symbol to make a true statement. 5.999 ____ 5.1

Two long-distance runners leave the starting gate, one running 9 mph and the other 8 mph. If they maintain the pace, how long will it take for them to be one-quarter of a mile apart?

The __________ of a three-dimensional geometric solid is the amount of space it encloses.

A(n) __________ equation in one variable can be written in the form ax+b=ca x + b = cax+b=c where a , b , and c are real numbers and a≠0.a \neq 0 .a=0.

Solve the formula for the specified variable. V=13Bh for BV = \frac { 1 } { 3 } B h \text { for } BV=31​Bh for B

Solve the equation. Check the result. 5z+66+6z−1030=z−55\frac { 5 z + 6 } { 6 } + \frac { 6 z - 10 } { 30 } = \frac { z - 5 } { 5 }65z+6​+306z−10​=5z−5​

Graphs, Equations of Lines, and Functions

Systems of Equations

Inequalities

Exponents, Polynomials, and Polynomial Functions

Rational Expression and Equations

Radical Expressions and Equations

Quadratic Equations, Functions, and Inequalities

Exponential and Logarithmic Functions

Conic Sections; More Graphing

Miscellaneous Topics

Filters

Evaluate the expression. $5 \cdot 2 ^ { 3 }$

Solve: $\frac { 2 } { 3 } x - 8 = - 4$

A number b is a(n) __________ root of a if $b ^ { 2 } = a$ .

Evaluate $\frac { - b + \sqrt { b ^ { 2 } - 4 a c } } { 2 a }$ for a = 4, b = 2, $c = - \frac { 3 } { 4 }$

Graph the set on a number line. $\left\{ - \frac { 5 } { 2 } , - 0.5,2.142765 \ldots , \frac { \pi } { 4 } , - \sqrt { 11 } , 2 \sqrt { 3 } \right\}$

Solve: $\frac { 3 } { 2 } ( x + 7 ) + 0.375 = 0.75 ( x + 5 ) - \frac { 3 } { 8 }$

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 2 } { 3 } , 1 , \sqrt { 3 } , 2 , \pi , 4.45,7,15 . \overline { 6 } \right\}$ that belong to the set of real numbers.

Evaluate the expression. $( 3 + 2 \cdot 3 ) ^ { 4 }$

A(n) __________ equation in one variable can be written in the form $a x + b = c$ where a , b , and c are real numbers and $a \neq 0 .$

Solve the formula for the specified variable. $V = \frac { 1 } { 3 } B h \text { for } B$

Solve the equation. Check the result. $\frac { 5 z + 6 } { 6 } + \frac { 6 z - 10 } { 30 } = \frac { z - 5 } { 5 }$