Question 1

Is subtraction commutative? Explain.

Accepted Answer

No. The or

Question 2

Use a number line to answer to the statement.
  
-$18>-10$

Accepted Answer

A) True 
 B)False

Question 3

Write the decimal as a fraction. Do not write in lowest terms.
-4.363

Accepted Answer

A)  $\frac{4363}{10,000}$ 
B)  $\frac{4363}{100}$ 
C)  $\frac{4363}{1000}$ 
D)  $\frac{4363}{10}$ 
A)  $\frac{4363}{10,000}$ 
B)  $\frac{4363}{100}$ 
C)  $\frac{4363}{1000}$ 
D)  $\frac{4363}{10}$

Question 4

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$\sqrt{b}+\frac{65}{a}$

Accepted Answer

A)  80 
B)  -8 
C)  -9 
D)  28 
A)  80 
B)  -8 
C)  -9 
D)  28

Question 5

Simplify the expression.
-$4 c+4(3 c+4)-3(4 c+6)+2 c+6$

Accepted Answer

A)  $13 c+4$ 
B)  $6 c+16$ 
C)  $13 c+16$ 
D)  $6 c+4$ 
A)  $13 c+4$ 
B)  $6 c+16$ 
C)  $13 c+16$ 
D)  $6 c+4$

Question 6

Use inequality symbols to rewrite the statement.
-4 is less than or equal to $y$.

Accepted Answer

A) $4 \leq y$ B) $4>y$ C) $4 \geq y$ D) $4<$ y A) $4 \leq y$ B) $4>y$ C) $4 \geq y$ D) $4<$ y

Question 7

Subtract as indicated. Write the answer as a fraction in lowest terms.
-$\frac{6}{26}-\frac{4}{26}$

Accepted Answer

A)  $\frac{5}{13}$ 
B)  $\frac{1}{26}$ 
C)  $\frac{12}{13}$ 
D)  $\frac{1}{13}$ 
A)  $\frac{5}{13}$ 
B)  $\frac{1}{26}$ 
C)  $\frac{12}{13}$ 
D)  $\frac{1}{13}$

Question 8

Use the distributive property to calculate the value mentally.
-$60 \cdot 6+60 \cdot 94$

Accepted Answer

A)  12,000 
B)  160 
C)  6000 
D)  5280 
A)  12,000 
B)  160 
C)  6000 
D)  5280

Question 9

Find the square root. If the number is not real, say so.
-$\sqrt{49}$

Accepted Answer

A)  7 
B)  2401 
C)  14 
D)  9 
A)  7 
B)  2401 
C)  14 
D)  9

Question 10

Perform the indicated operations.
-$10-11+2$

Accepted Answer

A)  -3 
B)  19 
C)  1 
D)  23 
A)  -3 
B)  19 
C)  1 
D)  23

Question 11

Find the distance between the given points.
  
-$F$ and $C$

Accepted Answer

A)  $-\frac{1}{2}$ 
B)  $-\frac{9}{2}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{9}{2}$ 
A)  $-\frac{1}{2}$ 
B)  $-\frac{9}{2}$ 
C)  $\frac{1}{2}$ 
D)  $\frac{9}{2}$

Question 12

Simplify the expression.
-$-5 \mathrm{~s}-8 \mathrm{t}$

Accepted Answer

A)  Cannot be simplified 
B)  $-13 \mathrm{~s}$ 
C)  $-13 \mathrm{st}$ 
D)  $-13 \mathrm{t}$ 
A)  Cannot be simplified 
B)  $-13 \mathrm{~s}$ 
C)  $-13 \mathrm{st}$ 
D)  $-13 \mathrm{t}$

Question 13

Write the decimal as a fraction. Do not write in lowest terms.
-0.8

Accepted Answer

A)  $\frac{1}{8}$ 
B)  $\frac{8}{100}$ 
C)  $\frac{1}{80}$ 
D)  $\frac{8}{10}$ 
A)  $\frac{1}{8}$ 
B)  $\frac{8}{100}$ 
C)  $\frac{1}{80}$ 
D)  $\frac{8}{10}$

Question 14

Simplify the expression.
-$0.25(32+20 x)-0.125(32+8 x)$

Accepted Answer

A)  $5 x-4$ 
B)  $6 x+4$ 
C)  $4 x+4$ 
D)  $8 x-12$ 
A)  $5 x-4$ 
B)  $6 x+4$ 
C)  $4 x+4$ 
D)  $8 x-12$

Question 15

Perform the indicated operation.
-$\left(-\frac{3}{4}\right)-\left(\frac{3}{8}\right)$

Accepted Answer

A)  $\frac{9}{8}$ 
B)  $-\frac{3}{16}$ 
C)  $-\frac{9}{8}$ 
D)  $\frac{3}{4}$ 
A)  $\frac{9}{8}$ 
B)  $-\frac{3}{16}$ 
C)  $-\frac{9}{8}$ 
D)  $\frac{3}{4}$

Question 16

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first.
-$7.687+8.958$

Accepted Answer

A)  17.645 
B)  16.645 
C)  -1.271 
D)  1.271 
A)  17.645 
B)  16.645 
C)  -1.271 
D)  1.271

Question 17

List all the elements of set $B$ that are of the indicated type.
-$\mathrm{B}=\left\{14, \sqrt{7},-9,0, \frac{0}{3}, \sqrt{4}\right\}$
Whole numbers

Accepted Answer

A)  $14,0, \frac{0}{3}, \sqrt{4}$ 
B)  $14,-9,0$ 
C)  14,0 
D)  $14,-9,0, \sqrt{4}$ 
A)  $14,0, \frac{0}{3}, \sqrt{4}$ 
B)  $14,-9,0$ 
C)  14,0 
D)  $14,-9,0, \sqrt{4}$

Question 18

Perform the indicated operations.
-$$\begin{aligned} & \text {}\left(-\frac{7}{6}-\frac{1}{3}\right)-\left(-\frac{1}{3}\right) \
& \begin{array}{llll}
\end{array}
\end{aligned}$$

Accepted Answer

A)  $\frac{7}{6}$ 
B)  -7 
C)  $-\frac{7}{6}$ 
D)  $-\frac{7}{3}$ 
A)  $\frac{7}{6}$ 
B)  -7 
C)  $-\frac{7}{6}$ 
D)  $-\frac{7}{3}$

Question 19

Give the additive inverse of the number.
-0

Accepted Answer

A)  $\frac{1}{0}$ 
B)  1 
C)  0 
D)  Does not exist 
A)  $\frac{1}{0}$ 
B)  1 
C)  0 
D)  Does not exist

Question 20

$\sqrt[7]{\mathrm{a}}$ has the same sign as a for all nonzero real numbers a.

Accepted Answer

A) True 
 B)False

Is subtraction commutative? Explain.

Use a number line to answer to the statement. - $18>-10$

Write the decimal as a fraction. Do not write in lowest terms. -4.363

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $\sqrt{b}+\frac{65}{a}$

Simplify the expression. - $4 c+4(3 c+4)-3(4 c+6)+2 c+6$

Use inequality symbols to rewrite the statement. -4 is less than or equal to $y$ .

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{6}{26}-\frac{4}{26}$

Use the distributive property to calculate the value mentally. - $60 \cdot 6+60 \cdot 94$

Find the square root. If the number is not real, say so. - $\sqrt{49}$

Perform the indicated operations. - $10-11+2$

Find the distance between the given points. - $F$ and $C$

Simplify the expression. - $-5 \mathrm{~s}-8 \mathrm{t}$

Write the decimal as a fraction. Do not write in lowest terms. -0.8

Simplify the expression. - $0.25(32+20 x)-0.125(32+8 x)$

Perform the indicated operation. - $\left(-\frac{3}{4}\right)-\left(\frac{3}{8}\right)$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $7.687+8.958$

List all the elements of set $B$ that are of the indicated type. - $\mathrm{B}=\left\{14, \sqrt{7},-9,0, \frac{0}{3}, \sqrt{4}\right\}$ Whole numbers

Perform the indicated operations. - -- - -

Give the additive inverse of the number. -0

$\sqrt[7]{\mathrm{a}}$ has the same sign as a for all nonzero real numbers a.

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

Is subtraction commutative? Explain.

Use a number line to answer to the statement. - 18>−1018>-1018>−10

Write the decimal as a fraction. Do not write in lowest terms. -4.363

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - b+65a\sqrt{b}+\frac{65}{a}b​+a65​

Simplify the expression. - 4c+4(3c+4)−3(4c+6)+2c+64 c+4(3 c+4)-3(4 c+6)+2 c+64c+4(3c+4)−3(4c+6)+2c+6

Use inequality symbols to rewrite the statement. -4 is less than or equal to yyy .

Subtract as indicated. Write the answer as a fraction in lowest terms. - 626−426\frac{6}{26}-\frac{4}{26}266​−264​

Use the distributive property to calculate the value mentally. - 60⋅6+60⋅9460 \cdot 6+60 \cdot 9460⋅6+60⋅94

Find the square root. If the number is not real, say so. - 49\sqrt{49}49​

Perform the indicated operations. - 10−11+210-11+210−11+2

Find the distance between the given points. - FFF and CCC

Simplify the expression. - −5 s−8t-5 \mathrm{~s}-8 \mathrm{t}−5 s−8t

Write the decimal as a fraction. Do not write in lowest terms. -0.8

Simplify the expression. - 0.25(32+20x)−0.125(32+8x)0.25(32+20 x)-0.125(32+8 x)0.25(32+20x)−0.125(32+8x)

Perform the indicated operation. - (−34)−(38)\left(-\frac{3}{4}\right)-\left(\frac{3}{8}\right)(−43​)−(83​)

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - 7.687+8.9587.687+8.9587.687+8.958

List all the elements of set BBB that are of the indicated type. - B={14,7,−9,0,03,4}\mathrm{B}=\left\{14, \sqrt{7},-9,0, \frac{0}{3}, \sqrt{4}\right\}B={14,7​,−9,0,30​,4​} Whole numbers

Perform the indicated operations. - -- - -

Give the additive inverse of the number. -0

a7\sqrt[7]{\mathrm{a}}7a​ has the same sign as a for all nonzero real numbers a.

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

Use a number line to answer to the statement. - $18>-10$

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $\sqrt{b}+\frac{65}{a}$

Simplify the expression. - $4 c+4(3 c+4)-3(4 c+6)+2 c+6$

Use inequality symbols to rewrite the statement. -4 is less than or equal to $y$ .

Subtract as indicated. Write the answer as a fraction in lowest terms. - $\frac{6}{26}-\frac{4}{26}$

Use the distributive property to calculate the value mentally. - $60 \cdot 6+60 \cdot 94$

Find the square root. If the number is not real, say so. - $\sqrt{49}$

Perform the indicated operations. - $10-11+2$

Find the distance between the given points. - $F$ and $C$

Simplify the expression. - $-5 \mathrm{~s}-8 \mathrm{t}$

Simplify the expression. - $0.25(32+20 x)-0.125(32+8 x)$

Perform the indicated operation. - $\left(-\frac{3}{4}\right)-\left(\frac{3}{8}\right)$

Add or subtract as indicated. Make sure that your answer is reasonable by estimating first. - $7.687+8.958$

List all the elements of set $B$ that are of the indicated type. - $\mathrm{B}=\left\{14, \sqrt{7},-9,0, \frac{0}{3}, \sqrt{4}\right\}$ Whole numbers

$\sqrt[7]{\mathrm{a}}$ has the same sign as a for all nonzero real numbers a.