Question 1

Which of the following elements is an irrational number: $\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}$

Accepted Answer

A)  $\sqrt { 6 }$ 
B)  $\sqrt { 4 }$ 
C)  $1 \overline { 5 }$ 
D)  -2 
A)  $\sqrt { 6 }$ 
B)  $\sqrt { 4 }$ 
C)  $1 \overline { 5 }$ 
D)  -2 A

Question 2

Find the area of a triangle with a base of 3.77 inches and a height of 5.46 inches. Round the answer to the nearest tenth.

Accepted Answer

A)  3.1 square inches 
B)  16.3 square inches 
C)  10.3 square inches 
D)  424.9 square inches 
A)  3.1 square inches 
B)  16.3 square inches 
C)  10.3 square inches 
D)  424.9 square inches C

Question 3

__________ means parts per one hundred.

Accepted Answer

Percent

Question 4

Solve the equation, if possible. $\frac { 6 } { 7 } ( x + 7 ) = \frac { 5 } { 8 } ( 3 x + 29 ) - 5$

Accepted Answer

A)  -7 
B)  -4 
C)  -11 
D)  -8 
E)  -9 
A)  -7 
B)  -4 
C)  -11 
D)  -8 
E)  -9

Question 5

What kind of triangle has a right angle?

Accepted Answer

A)  right 
B)  equilateral 
C)  isosceles 
D)  similar 
E)  scalene 
A)  right 
B)  equilateral 
C)  isosceles 
D)  similar 
E)  scalene

Question 6

Perform the operations. - 10 + (- 9) + 2

Accepted Answer

The answer of Perform the operations. - 10 + (-...

Question 7

Solve: $\frac { 1 } { 2 } x + 3 - 4 x = \frac { 3 } { 4 } x - \frac { 1 } { 4 }$

Accepted Answer

A)  $x = - \frac { 13 } { 17 }$ 
B)  $x = \frac { 6 } { 37 }$ 
C)  $x = - \frac { 6 } { 37 }$ 
D)  $x = \frac { 13 } { 17 }$ 
A)  $x = - \frac { 13 } { 17 }$ 
B)  $x = \frac { 6 } { 37 }$ 
C)  $x = - \frac { 6 } { 37 }$ 
D)  $x = \frac { 13 } { 17 }$

Question 8

Evaluate: $| \sqrt { 81 } - 9 ( 6 - 9 ) |$

Accepted Answer

The answer of Evaluate: \(| \sqrt { 81 } -...

Question 9

Solve: $0.5 x + 1 = 5 - 0.7 ( x - 2 )$

Accepted Answer

A)  $x = 7.27$ 
B)  $x = 9.05$ 
C)  $x = 4.5$ 
D)  $x = - 5 . \overline { 9 }$ 
A)  $x = 7.27$ 
B)  $x = 9.05$ 
C)  $x = 4.5$ 
D)  $x = - 5 . \overline { 9 }$

Question 10

Which of the following equations is equivalent to 5(3 x - 2) - 6 = 30?

Accepted Answer

A)  15 x - 4 = 30 
B)  15 x - 16 = 30 
C)  15 x - 8 = 30 
D)  4 x - 16 = 30 
A)  15 x - 4 = 30 
B)  15 x - 16 = 30 
C)  15 x - 8 = 30 
D)  4 x - 16 = 30

Question 11

A(n) __________ of a circle is a chord that passes through its center.

Accepted Answer

The answer of A(n) __________ of a circle is a...

Question 12

Solve the equation, if possible. $- 2 ( x + 6 ) = x + 33 - 2 x$

Accepted Answer

The answer of Solve the equation, if possible. \(- 2...

Question 13

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 3 } , 4 , \pi , 4.65,7,17 . \overline { 6 } \right\}$ that belong to the set of rational numbers.

Accepted Answer

The answer of List the elements of \(\left\{ - 3...

Question 14

A pension fund owns 5,000 fewer shares in mutual stock funds than mutual bond funds. Currently, the stock funds sell for $12 per share, and the bond funds sell for $15 per share. How many shares of each does the pension fund own if the value of the securities is $129,000?

Accepted Answer

A)  1,000 shares of stock funds, 7,000 shares of bond funds 
B)  2,000 shares of stock funds, 7,000 shares of bond funds 
C)  2,000 shares of stock funds, 8,000 shares of bond funds 
D)  1,000 shares of stock funds, 8,000 shares of bond funds 
E)  2,000 shares of stock funds, 6,500 shares of bond funds 
A)  1,000 shares of stock funds, 7,000 shares of bond funds 
B)  2,000 shares of stock funds, 7,000 shares of bond funds 
C)  2,000 shares of stock funds, 8,000 shares of bond funds 
D)  1,000 shares of stock funds, 8,000 shares of bond funds 
E)  2,000 shares of stock funds, 6,500 shares of bond funds

Question 15

Perform the operation. - 3(6)

Accepted Answer

A)  - 18 
B)  - 15 
C)  18 
D)  - 20 
E)  - 17 
A)  - 18 
B)  - 15 
C)  18 
D)  - 20 
E)  - 17

Question 16

Last month, a bookstore ran the following ad. Sales of $5,238 were generated, with 24 more graphing calculators sold than scientific calculators. How many of each type of calculator did the bookstore sell?

Accepted Answer

A)  30 $18 calculators and 53 $87 calculators 
B)  29 $18 calculators and 53 $87 calculators 
C)  28 $18 calculators and 54 $87 calculators 
D)  30 $18 calculators and 54 $87 calculators 
E)  29 $18 calculators and 54 $87 calculators 
A)  30 $18 calculators and 53 $87 calculators 
B)  29 $18 calculators and 53 $87 calculators 
C)  28 $18 calculators and 54 $87 calculators 
D)  30 $18 calculators and 54 $87 calculators 
E)  29 $18 calculators and 54 $87 calculators

Question 17

Solve the equation, if possible. $- 2 ( x + 4 ) = x + 37 - 2 x$

Accepted Answer

A)  -48 
B)  -45 
C)  -43 
D)  -49 
E)  -46 
A)  -48 
B)  -45 
C)  -43 
D)  -49 
E)  -46

Question 18

Solve each equation. If the equation is an identity or a contradiction, so indicate. $2 ( 5 - 3 t ) + 3 t = - 3 t + 11$

Accepted Answer

A)  $R \text {, identity }$ 
B)  $\{ \} \text {, contradiction }$ 
A)  $R \text {, identity }$ 
B)  $\{ \} \text {, contradiction }$

Question 19

In an Individual Retirement Account (IRA) valued at $49,050, a couple has 450 shares of stock, some in Big Bank Corporation and some in Safe Savings and Loan. If Big Bank sells for $115 per share and Safe Savings sells for $97 per share, how many shares of each does the couple own?

Accepted Answer

A)  300 shares of Big Bank Corporation and 150 shares of Safe Savings and Loan 
B)  310 shares of Big Bank Corporation and 160 shares of Safe Savings and Loan 
C)  150 shares of Big Bank Corporation and 300 shares of Safe Savings and Loan 
D)  300 shares of Big Bank Corporation and 160 shares of Safe Savings and Loan 
E)  310 shares of Big Bank Corporation and 150 shares of Safe Savings and Loan 
A)  300 shares of Big Bank Corporation and 150 shares of Safe Savings and Loan 
B)  310 shares of Big Bank Corporation and 160 shares of Safe Savings and Loan 
C)  150 shares of Big Bank Corporation and 300 shares of Safe Savings and Loan 
D)  300 shares of Big Bank Corporation and 160 shares of Safe Savings and Loan 
E)  310 shares of Big Bank Corporation and 150 shares of Safe Savings and Loan

Question 20

Perform the operation. Subtract $\frac { 2 } { 13 }$ from $\frac { 1 } { 26 }$ .

Accepted Answer

A)  $- \frac { 2 } { 13 }$ 
B)  $\frac { 3 } { 26 }$ 
C)  $- \frac { 3 } { 26 }$ 
D)  $\frac { 1 } { 13 }$ 
E)  $- \frac { 1 } { 13 }$ 
A)  $- \frac { 2 } { 13 }$ 
B)  $\frac { 3 } { 26 }$ 
C)  $- \frac { 3 } { 26 }$ 
D)  $\frac { 1 } { 13 }$ 
E)  $- \frac { 1 } { 13 }$

Which of the following elements is an irrational number: $\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}$

Find the area of a triangle with a base of 3.77 inches and a height of 5.46 inches. Round the answer to the nearest tenth.

__________ means parts per one hundred.

Solve the equation, if possible. $\frac { 6 } { 7 } ( x + 7 ) = \frac { 5 } { 8 } ( 3 x + 29 ) - 5$

What kind of triangle has a right angle?

Perform the operations. - 10 + (- 9) + 2

Solve: $\frac { 1 } { 2 } x + 3 - 4 x = \frac { 3 } { 4 } x - \frac { 1 } { 4 }$

Evaluate: $| \sqrt { 81 } - 9 ( 6 - 9 ) |$

Solve: $0.5 x + 1 = 5 - 0.7 ( x - 2 )$

Which of the following equations is equivalent to 5(3 x - 2) - 6 = 30?

A(n) __________ of a circle is a chord that passes through its center.

Solve the equation, if possible. $- 2 ( x + 6 ) = x + 33 - 2 x$

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 3 } , 4 , \pi , 4.65,7,17 . \overline { 6 } \right\}$ that belong to the set of rational numbers.

A pension fund owns 5,000 fewer shares in mutual stock funds than mutual bond funds. Currently, the stock funds sell for $12 per share, and the bond funds sell for $15 per share. How many shares of each does the pension fund own if the value of the securities is $129,000?

Perform the operation. - 3(6)

Last month, a bookstore ran the following ad. Sales of $5,238 were generated, with 24 more graphing calculators sold than scientific calculators. How many of each type of calculator did the bookstore sell?

Solve the equation, if possible. $- 2 ( x + 4 ) = x + 37 - 2 x$

Solve each equation. If the equation is an identity or a contradiction, so indicate. $2 ( 5 - 3 t ) + 3 t = - 3 t + 11$

In an Individual Retirement Account (IRA) valued at $49,050, a couple has 450 shares of stock, some in Big Bank Corporation and some in Safe Savings and Loan. If Big Bank sells for $115 per share and Safe Savings sells for $97 per share, how many shares of each does the couple own?

Perform the operation. Subtract $\frac { 2 } { 13 }$ from $\frac { 1 } { 26 }$ .

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

Which of the following elements is an irrational number: {−2,−29,.15‾,4,6}\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}{−2,−92​,.15,4​,6​}

Find the area of a triangle with a base of 3.77 inches and a height of 5.46 inches. Round the answer to the nearest tenth.

__________ means parts per one hundred.

Solve the equation, if possible. 67(x+7)=58(3x+29)−5\frac { 6 } { 7 } ( x + 7 ) = \frac { 5 } { 8 } ( 3 x + 29 ) - 576​(x+7)=85​(3x+29)−5

What kind of triangle has a right angle?

Perform the operations. - 10 + (- 9) + 2

Solve: 12x+3−4x=34x−14\frac { 1 } { 2 } x + 3 - 4 x = \frac { 3 } { 4 } x - \frac { 1 } { 4 }21​x+3−4x=43​x−41​

Evaluate: ∣81−9(6−9)∣| \sqrt { 81 } - 9 ( 6 - 9 ) |∣81​−9(6−9)∣

Solve: 0.5x+1=5−0.7(x−2)0.5 x + 1 = 5 - 0.7 ( x - 2 )0.5x+1=5−0.7(x−2)

Which of the following equations is equivalent to 5(3 x - 2) - 6 = 30?

A(n) __________ of a circle is a chord that passes through its center.

Solve the equation, if possible. −2(x+6)=x+33−2x- 2 ( x + 6 ) = x + 33 - 2 x−2(x+6)=x+33−2x

List the elements of {−3,−85,0,13,1,3,4,π,4.65,7,17.6‾}\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 3 } , 4 , \pi , 4.65,7,17 . \overline { 6 } \right\}{−3,−58​,0,31​,1,3​,4,π,4.65,7,17.6} that belong to the set of rational numbers.

A pension fund owns 5,000 fewer shares in mutual stock funds than mutual bond funds. Currently, the stock funds sell for $12 per share, and the bond funds sell for $15 per share. How many shares of each does the pension fund own if the value of the securities is $129,000?

Perform the operation. - 3(6)

Last month, a bookstore ran the following ad. Sales of $5,238 were generated, with 24 more graphing calculators sold than scientific calculators. How many of each type of calculator did the bookstore sell?

Solve the equation, if possible. −2(x+4)=x+37−2x- 2 ( x + 4 ) = x + 37 - 2 x−2(x+4)=x+37−2x

Solve each equation. If the equation is an identity or a contradiction, so indicate. 2(5−3t)+3t=−3t+112 ( 5 - 3 t ) + 3 t = - 3 t + 112(5−3t)+3t=−3t+11

In an Individual Retirement Account (IRA) valued at $49,050, a couple has 450 shares of stock, some in Big Bank Corporation and some in Safe Savings and Loan. If Big Bank sells for $115 per share and Safe Savings sells for $97 per share, how many shares of each does the couple own?

Perform the operation. Subtract 213\frac { 2 } { 13 }132​ from 126\frac { 1 } { 26 }261​ .

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

Which of the following elements is an irrational number: $\left\{ - 2 , - \frac { 2 } { 9 } , .1 \overline { 5 } , \sqrt { 4 } , \sqrt { 6 } \right\}$

Solve the equation, if possible. $\frac { 6 } { 7 } ( x + 7 ) = \frac { 5 } { 8 } ( 3 x + 29 ) - 5$

Solve: $\frac { 1 } { 2 } x + 3 - 4 x = \frac { 3 } { 4 } x - \frac { 1 } { 4 }$

Evaluate: $| \sqrt { 81 } - 9 ( 6 - 9 ) |$

Solve: $0.5 x + 1 = 5 - 0.7 ( x - 2 )$

Solve the equation, if possible. $- 2 ( x + 6 ) = x + 33 - 2 x$

List the elements of $\left\{ - 3 , - \frac { 8 } { 5 } , 0 , \frac { 1 } { 3 } , 1 , \sqrt { 3 } , 4 , \pi , 4.65,7,17 . \overline { 6 } \right\}$ that belong to the set of rational numbers.

Solve the equation, if possible. $- 2 ( x + 4 ) = x + 37 - 2 x$

Solve each equation. If the equation is an identity or a contradiction, so indicate. $2 ( 5 - 3 t ) + 3 t = - 3 t + 11$

Perform the operation. Subtract $\frac { 2 } { 13 }$ from $\frac { 1 } { 26 }$ .