Question 1

The temperature at a science station was $-14^{\circ}$ at $8 \mathrm{am}$. At $3 \mathrm{pm}$, it was $11^{\circ}$. By how many degrees did the temperature rise?

Accepted Answer

A)  by $25^{\circ}$ 
B)  by $-25^{\circ}$ 
C)  by $-3^{\circ}$ 
D)  by $3^{\circ}$ 
A)  by $25^{\circ}$ 
B)  by $-25^{\circ}$ 
C)  by $-3^{\circ}$ 
D)  by $3^{\circ}$

Question 2

Every whole number is a real number.

Accepted Answer

A) True 
 B)False

Question 3

Perform the indicated operation.
-$\frac{12}{0}$

Accepted Answer

A)  1 
B)  12 
C)  0 
D)  Undefined 
A)  1 
B)  12 
C)  0 
D)  Undefined

Question 4

Add or subtract as indicated.
-$|17|+|12|$

Accepted Answer

A)  5 
B)  -29 
C)  29 
D)  -5 
A)  5 
B)  -29 
C)  29 
D)  -5

Question 5

In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$. The lowest temperature recorded was 130 degrees less than the highest. What was the lowest temperature?

Accepted Answer

A)  $-28^{\circ} \mathrm{F}$ 
B)  $-138^{\circ} \mathrm{F}$ 
C)  $0^{\circ} \mathrm{F}$ 
D)  $28^{\circ} \mathrm{F}$ 
A)  $-28^{\circ} \mathrm{F}$ 
B)  $-138^{\circ} \mathrm{F}$ 
C)  $0^{\circ} \mathrm{F}$ 
D)  $28^{\circ} \mathrm{F}$

Question 6

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
-$\frac{1}{8}$

Accepted Answer

A)  $80 \%$ 
B)  $1.3 \%$ 
C)  $12.5 \%$ 
D)  $15.6 \%$ 
A)  $80 \%$ 
B)  $1.3 \%$ 
C)  $12.5 \%$ 
D)  $15.6 \%$

Question 7

Write the expression by using exponents.
-$\frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3}$

Accepted Answer

A)  $8^{2 / 3}$ 
B)  $\left(\frac{2}{3}\right)^{7}$ 
C)  $\left(\frac{2}{3}\right)^{8}$ 
D)  $\frac{14}{3}$ 
A)  $8^{2 / 3}$ 
B)  $\left(\frac{2}{3}\right)^{7}$ 
C)  $\left(\frac{2}{3}\right)^{8}$ 
D)  $\frac{14}{3}$

Question 8

Write the expression by using exponents.
-$9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9$

Accepted Answer

A)  96 
B)  54 
C)  69 
D)  95 
A)  96 
B)  54 
C)  69 
D)  95

Question 9

The product of 5 positive factors and 8 negative factors is negative.

Accepted Answer

A) True 
 B)False

Question 10

Perform the indicated operations.
-$|-8|+|-4|-|-9|-|7|$

Accepted Answer

A)  14 
B)  28 
C)  -10 
D)  -4 
A)  14 
B)  28 
C)  -10 
D)  -4

Question 11

Perform the indicated operation.
-$\frac{25}{63}(-45)$

Accepted Answer

A)  $-\frac{7}{125}$ 
B)  $-\frac{125}{7}$ 
C)  $\frac{125}{7}$ 
D)  $\frac{7}{125}$ 
A)  $-\frac{7}{125}$ 
B)  $-\frac{125}{7}$ 
C)  $\frac{125}{7}$ 
D)  $\frac{7}{125}$

Question 12

Write as a percent.
-0.421

Accepted Answer

A)  $0.421 \%$ 
B)  $42.1 \%$ 
C)  $0.0421 \%$ 
D)  $421 \%$ 
A)  $0.421 \%$ 
B)  $42.1 \%$ 
C)  $0.0421 \%$ 
D)  $421 \%$

Question 13

Some real numbers are integers.

Accepted Answer

A) True 
 B)False

Question 14

Write the decimal as a fraction. Do not write in lowest terms.
-2.5

Accepted Answer

A)  $\frac{25}{10}$ 
B)  $\frac{1}{25}$ 
C)  $\frac{50}{100}$ 
D)  $\frac{50}{10}$ 
A)  $\frac{25}{10}$ 
B)  $\frac{1}{25}$ 
C)  $\frac{50}{100}$ 
D)  $\frac{50}{10}$

Question 15

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary.
-$\frac{4}{5}$

Accepted Answer

A)  $160 \%$ 
B)  $50 \%$ 
C)  $8 \%$ 
D)  $80 \%$ 
A)  $160 \%$ 
B)  $50 \%$ 
C)  $8 \%$ 
D)  $80 \%$

Question 16

Give the additive inverse of the number.
-$\frac{9}{4}$

Accepted Answer

A)  $\frac{4}{9}$ 
B)  $-\frac{9}{4}$ 
C)  $\frac{9}{4}$ 
D)  $-\frac{4}{9}$ 
A)  $\frac{4}{9}$ 
B)  $-\frac{9}{4}$ 
C)  $\frac{9}{4}$ 
D)  $-\frac{4}{9}$

Question 17

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible.
-$0(4 r-194 s+0.16 t) ;$ multiplication property of 0

Accepted Answer

A)  $-189.84 \mathrm{rst}$ 
B)  0 
C)  1 
D)  $4 \mathrm{r}-194 \mathrm{~s}+0.16 \mathrm{t}$ 
A)  $-189.84 \mathrm{rst}$ 
B)  0 
C)  1 
D)  $4 \mathrm{r}-194 \mathrm{~s}+0.16 \mathrm{t}$

Question 18

Perform the indicated operations.
-$11-15-8$

Accepted Answer

A)  18 
B)  -12 
C)  34 
D)  4 
A)  18 
B)  -12 
C)  34 
D)  4

Question 19

Use a number line to answer to the statement.
  
-$-40<0$

Accepted Answer

A) True 
 B)False

Question 20

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first.
-$2.0 \times 1.0$

Accepted Answer

A)  2.00 
B)  2.1 
C)  2.111 
D)  2.11 
A)  2.00 
B)  2.1 
C)  2.111 
D)  2.11

The temperature at a science station was $-14^{\circ}$ at $8 \mathrm{am}$ . At $3 \mathrm{pm}$ , it was $11^{\circ}$ . By how many degrees did the temperature rise?

Every whole number is a real number.

Perform the indicated operation. - $\frac{12}{0}$

Add or subtract as indicated. - $|17|+|12|$

In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$ . The lowest temperature recorded was 130 degrees less than the highest. What was the lowest temperature?

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{1}{8}$

Write the expression by using exponents. - $\frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3}$

Write the expression by using exponents. - $9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9$

The product of 5 positive factors and 8 negative factors is negative.

Perform the indicated operations. - $|-8|+|-4|-|-9|-|7|$

Perform the indicated operation. - $\frac{25}{63}(-45)$

Write as a percent. -0.421

Some real numbers are integers.

Write the decimal as a fraction. Do not write in lowest terms. -2.5

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{4}{5}$

Give the additive inverse of the number. - $\frac{9}{4}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $0(4 r-194 s+0.16 t) ;$ multiplication property of 0

Perform the indicated operations. - $11-15-8$

Use a number line to answer to the statement. - $-40<0$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $2.0 \times 1.0$

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

Exam 1: Review of the Real Number System

The temperature at a science station was −14∘-14^{\circ}−14∘ at 8am8 \mathrm{am}8am . At 3pm3 \mathrm{pm}3pm , it was 11∘11^{\circ}11∘ . By how many degrees did the temperature rise?

Every whole number is a real number.

Perform the indicated operation. - 120\frac{12}{0}012​

Add or subtract as indicated. - ∣17∣+∣12∣|17|+|12|∣17∣+∣12∣

In a certain location, the highest temperature recorded was 102∘F102^{\circ} \mathrm{F}102∘F . The lowest temperature recorded was 130 degrees less than the highest. What was the lowest temperature?

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - 18\frac{1}{8}81​

Write the expression by using exponents. - 23⋅23⋅23⋅23⋅23⋅23⋅23\frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3}32​⋅32​⋅32​⋅32​⋅32​⋅32​⋅32​

Write the expression by using exponents. - 9⋅9⋅9⋅9⋅9⋅99 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 99⋅9⋅9⋅9⋅9⋅9

The product of 5 positive factors and 8 negative factors is negative.

Perform the indicated operations. - ∣−8∣+∣−4∣−∣−9∣−∣7∣|-8|+|-4|-|-9|-|7|∣−8∣+∣−4∣−∣−9∣−∣7∣

Perform the indicated operation. - 2563(−45)\frac{25}{63}(-45)6325​(−45)

Write as a percent. -0.421

Some real numbers are integers.

Write the decimal as a fraction. Do not write in lowest terms. -2.5

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - 45\frac{4}{5}54​

Give the additive inverse of the number. - 94\frac{9}{4}49​

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - 0(4r−194s+0.16t);0(4 r-194 s+0.16 t) ;0(4r−194s+0.16t); multiplication property of 0

Perform the indicated operations. - 11−15−811-15-811−15−8

Use a number line to answer to the statement. - −40<0-40<0−40<0

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - 2.0×1.02.0 \times 1.02.0×1.0

Linear Equations, Inequalities, and Applications

Linear Equations, Graphs, and Functions

Systems of Linear Equations

Exponents, Polynomials, and Polynomial Functions

Factoring

Rational Expressions and Functions

Roots, Radicals, and Root Functions

Quadratic Equations, Inequalities, and Functions

Inverse, Exponential, and Logarithmic Functions

Nonlinear Functions, Conic Sections, and Nonlinear Systems

Further Topics in Algebra

Appendices

Filters

The temperature at a science station was $-14^{\circ}$ at $8 \mathrm{am}$ . At $3 \mathrm{pm}$ , it was $11^{\circ}$ . By how many degrees did the temperature rise?

Perform the indicated operation. - $\frac{12}{0}$

Add or subtract as indicated. - $|17|+|12|$

In a certain location, the highest temperature recorded was $102^{\circ} \mathrm{F}$ . The lowest temperature recorded was 130 degrees less than the highest. What was the lowest temperature?

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{1}{8}$

Write the expression by using exponents. - $\frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3} \cdot \frac{2}{3}$

Write the expression by using exponents. - $9 \cdot 9 \cdot 9 \cdot 9 \cdot 9 \cdot 9$

Perform the indicated operations. - $|-8|+|-4|-|-9|-|7|$

Perform the indicated operation. - $\frac{25}{63}(-45)$

Write the fraction as a percent. Round to the nearest tenth of a percent if necessary. - $\frac{4}{5}$

Give the additive inverse of the number. - $\frac{9}{4}$

Use the indicated property to write a new expression equal to the given one. Simplify the expression if possible. - $0(4 r-194 s+0.16 t) ;$ multiplication property of 0

Perform the indicated operations. - $11-15-8$

Use a number line to answer to the statement. - $-40<0$

Multiply or divide as indicated. Make sure that your answer is reasonable by estimating first. - $2.0 \times 1.0$