Question 1

Evaluate the expression for $a=-5, b=16$ and $c=7$.
-$4 \mathrm{~b}+\frac{50}{\mathrm{a}}-\sqrt{\mathrm{b}}$

Accepted Answer

A)  216 
B)  54 
C)  248 
D)  50 
A)  216 
B)  54 
C)  248 
D)  50

Question 2

List all the elements of set $B$ that are of the indicated type.
-$\mathrm{B}=\left\{1, \sqrt{5},-12,0, \frac{0}{2}, \sqrt{4}, \pi, \frac{-8}{0}, 0.71\right\}$
Rational numbers

Accepted Answer

A)  $\sqrt{5}, \sqrt{4}$ 
B)  $1,0, \sqrt{4}, \pi$ 
C)  $1,-12,0, \frac{0}{2}, \sqrt{4}, 0.71$ 
D)  $\sqrt{5}, \frac{0}{2}, 0.71$ 
A)  $\sqrt{5}, \sqrt{4}$ 
B)  $1,0, \sqrt{4}, \pi$ 
C)  $1,-12,0, \frac{0}{2}, \sqrt{4}, 0.71$ 
D)  $\sqrt{5}, \frac{0}{2}, 0.71$

Question 3

Write the set by listing its elements.
-$\{\mathrm{a} \mid \mathrm{a}$ is a natural number greater than 8$\}$

Accepted Answer

A)  $\{9,11,13, \ldots\}$ 
B)  $\{9,10,11, \ldots\}$ 
C)  $\{8,9,10, \ldots\}$ 
D)  $\{8,16,24, \ldots\}$ 
A)  $\{9,11,13, \ldots\}$ 
B)  $\{9,10,11, \ldots\}$ 
C)  $\{8,9,10, \ldots\}$ 
D)  $\{8,16,24, \ldots\}$

Question 4

Add as indicated. Write the answer as a fraction in lowest terms.
-$14 \frac{2}{3}+4 \frac{1}{6}$

Accepted Answer

A)  $\frac{113}{3}$ 
B)  $\frac{23}{6}$ 
C)  $\frac{23}{3}$ 
D)  $\frac{113}{6}$ 
A)  $\frac{113}{3}$ 
B)  $\frac{23}{6}$ 
C)  $\frac{23}{3}$ 
D)  $\frac{113}{6}$

Question 5

Perform the indicated operation.
-$15\left(-\frac{9}{20}\right)$

Accepted Answer

A)  $-\frac{27}{4}$ 
B)  $\frac{4}{27}$ 
C)  $-\frac{4}{27}$ 
D)  $\frac{27}{4}$ 
A)  $-\frac{27}{4}$ 
B)  $\frac{4}{27}$ 
C)  $-\frac{4}{27}$ 
D)  $\frac{27}{4}$

Question 6

Perform the indicated operation.
-$(-2.6)+(-0.8)$

Accepted Answer

A)  -1.8 
B)  2.08 
C)  1.8 
D)  -3.4 
A)  -1.8 
B)  2.08 
C)  1.8 
D)  -3.4

Question 7

Simplify the expression.
-$6 b+3 b$

Accepted Answer

A)  $9 b$ 
B)  $3 b^{2}$ 
C)  $3 \mathrm{~b}$ 
D)  $-3 b$ 
A)  $9 b$ 
B)  $3 b^{2}$ 
C)  $3 \mathrm{~b}$ 
D)  $-3 b$

Question 8

Use the order of operations to simplify the expression.
-$3(4-4|1-6|)$

Accepted Answer

A)  -48 
B)  -56 
C)  72 
D)  -8 
A)  -48 
B)  -56 
C)  72 
D)  -8

Question 9

While shopping for a party, June bought $2 \frac{4}{5}$ pounds of hamburger, $4 \frac{1}{4}$ pounds of chicken, and $5 \frac{1}{2}$ pounds of ham. How much meat did she buy?

Accepted Answer

A)  $\frac{11}{42} \mathrm{lb}$ 
B)  $\frac{20}{251} \mathrm{lb}$ 
C)  $12 \frac{11}{20} \mathrm{lb}$ 
D)  $3 \frac{9}{11} \mathrm{lb}$ 
A)  $\frac{11}{42} \mathrm{lb}$ 
B)  $\frac{20}{251} \mathrm{lb}$ 
C)  $12 \frac{11}{20} \mathrm{lb}$ 
D)  $3 \frac{9}{11} \mathrm{lb}$

Question 10

Perform the indicated operation.
-$\left(-\frac{3}{8}\right)-\left(-\frac{1}{32}\right)$

Accepted Answer

A)  $-\frac{1}{8}$ 
B)  $-\frac{1}{64}$ 
C)  $-\frac{11}{32}$ 
D)  $\frac{11}{32}$ 
A)  $-\frac{1}{8}$ 
B)  $-\frac{1}{64}$ 
C)  $-\frac{11}{32}$ 
D)  $\frac{11}{32}$

Question 11

Give the additive inverse of the number.
-14

Accepted Answer

A)  $\frac{1}{14}$ 
B)  -14 
C)  14 
D)  0 
A)  $\frac{1}{14}$ 
B)  -14 
C)  14 
D)  0

Question 12

Write as a percent.
-6

Accepted Answer

A)  $0.06 \%$ 
B)  $300 \%$ 
C)  $600 \%$ 
D)  $0.6 \%$ 
A)  $0.06 \%$ 
B)  $300 \%$ 
C)  $600 \%$ 
D)  $0.6 \%$

Question 13

Decide whether the statement is .
-The difference between a positive number and a negative number is negative.

Accepted Answer

A)  Always true 
B)  Never true 
C)  Sometimes true 
A)  Always true 
B)  Never true 
C)  Sometimes true

Question 14

$-8^{5}=(-8)^{5}$

Accepted Answer

A) True 
 B)False

Question 15

Add or subtract as indicated.
-$-2+14$

Accepted Answer

A)  16 
B)  12 
C)  -12 
D)  -16 
A)  16 
B)  12 
C)  -12 
D)  -16

Question 16

Add or subtract as indicated.
-$61-(-10)$

Accepted Answer

A)  -71 
B)  51 
C)  -51 
D)  71 
A)  -71 
B)  51 
C)  -51 
D)  71

Question 17

Write the set by listing its elements.
-$\{\mathrm{a} \mid \mathrm{a}$ is an even integer greater than 6$\}$

Accepted Answer

A)  $\{0,2,4, \ldots\}$ 
B)  $\{8,10,12, \ldots\}$ 
C)  $\{7,8,9, \ldots\}$ 
D)  $\{6,8,10,12, \ldots\}$ 
A)  $\{0,2,4, \ldots\}$ 
B)  $\{8,10,12, \ldots\}$ 
C)  $\{7,8,9, \ldots\}$ 
D)  $\{6,8,10,12, \ldots\}$

Question 18

Write the set by listing its elements.
-$\{z \mid z$ is a number whose absolute value is 9$\}$

Accepted Answer

A)  $\{-9, \ldots, 9\}$ 
B)  $\{-9\}$ 
C)  $\{-9,9\}$ 
D)  $\{9\}$ 
A)  $\{-9, \ldots, 9\}$ 
B)  $\{-9\}$ 
C)  $\{-9,9\}$ 
D)  $\{9\}$

Question 19

Perform the indicated operations.
-$-1-5^{2}+5(2)+(-5)^{2}$

Accepted Answer

A)  10 
B)  11 
C)  5 
D)  9 
A)  10 
B)  11 
C)  5 
D)  9

Question 20

Perform the indicated operation. Round to the nearest hundredth, if necessary.
-$(6.69)(-3.63)$

Accepted Answer

A)  -0.2428 
B)  -242.8 
C)  -24.28 
D)  -2.428 
A)  -0.2428 
B)  -242.8 
C)  -24.28 
D)  -2.428

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $4 \mathrm{~b}+\frac{50}{\mathrm{a}}-\sqrt{\mathrm{b}}$

List all the elements of set $B$ that are of the indicated type. - $\mathrm{B}=\left\{1, \sqrt{5},-12,0, \frac{0}{2}, \sqrt{4}, \pi, \frac{-8}{0}, 0.71\right\}$ Rational numbers

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is a natural number greater than 8 $\}$

Add as indicated. Write the answer as a fraction in lowest terms. - $14 \frac{2}{3}+4 \frac{1}{6}$

Perform the indicated operation. - $15\left(-\frac{9}{20}\right)$

Perform the indicated operation. - $(-2.6)+(-0.8)$

Simplify the expression. - $6 b+3 b$

Use the order of operations to simplify the expression. - $3(4-4|1-6|)$

While shopping for a party, June bought $2 \frac{4}{5}$ pounds of hamburger, $4 \frac{1}{4}$ pounds of chicken, and $5 \frac{1}{2}$ pounds of ham. How much meat did she buy?

Perform the indicated operation. - $\left(-\frac{3}{8}\right)-\left(-\frac{1}{32}\right)$

Give the additive inverse of the number. -14

Write as a percent. -6

Decide whether the statement is . -The difference between a positive number and a negative number is negative.

$-8^{5}=(-8)^{5}$

Add or subtract as indicated. - $-2+14$

Add or subtract as indicated. - $61-(-10)$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is an even integer greater than 6 $\}$

Write the set by listing its elements. - $\{z \mid z$ is a number whose absolute value is 9 $\}$

Perform the indicated operations. - $-1-5^{2}+5(2)+(-5)^{2}$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $(6.69)(-3.63)$

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

Evaluate the expression for a=−5,b=16a=-5, b=16a=−5,b=16 and c=7c=7c=7 . - 4 b+50a−b4 \mathrm{~b}+\frac{50}{\mathrm{a}}-\sqrt{\mathrm{b}}4 b+a50​−b​

List all the elements of set BBB that are of the indicated type. - B={1,5,−12,0,02,4,π,−80,0.71}\mathrm{B}=\left\{1, \sqrt{5},-12,0, \frac{0}{2}, \sqrt{4}, \pi, \frac{-8}{0}, 0.71\right\}B={1,5​,−12,0,20​,4​,π,0−8​,0.71} Rational numbers

Write the set by listing its elements. - {a∣a\{\mathrm{a} \mid \mathrm{a}{a∣a is a natural number greater than 8 }\}}

Add as indicated. Write the answer as a fraction in lowest terms. - 1423+41614 \frac{2}{3}+4 \frac{1}{6}1432​+461​

Perform the indicated operation. - 15(−920)15\left(-\frac{9}{20}\right)15(−209​)

Perform the indicated operation. - (−2.6)+(−0.8)(-2.6)+(-0.8)(−2.6)+(−0.8)

Simplify the expression. - 6b+3b6 b+3 b6b+3b

Use the order of operations to simplify the expression. - 3(4−4∣1−6∣)3(4-4|1-6|)3(4−4∣1−6∣)

While shopping for a party, June bought 2452 \frac{4}{5}254​ pounds of hamburger, 4144 \frac{1}{4}441​ pounds of chicken, and 5125 \frac{1}{2}521​ pounds of ham. How much meat did she buy?

Perform the indicated operation. - (−38)−(−132)\left(-\frac{3}{8}\right)-\left(-\frac{1}{32}\right)(−83​)−(−321​)

Give the additive inverse of the number. -14

Write as a percent. -6

Decide whether the statement is . -The difference between a positive number and a negative number is negative.

−85=(−8)5-8^{5}=(-8)^{5}−85=(−8)5

Add or subtract as indicated. - −2+14-2+14−2+14

Add or subtract as indicated. - 61−(−10)61-(-10)61−(−10)

Write the set by listing its elements. - {a∣a\{\mathrm{a} \mid \mathrm{a}{a∣a is an even integer greater than 6 }\}}

Write the set by listing its elements. - {z∣z\{z \mid z{z∣z is a number whose absolute value is 9 }\}}

Perform the indicated operations. - −1−52+5(2)+(−5)2-1-5^{2}+5(2)+(-5)^{2}−1−52+5(2)+(−5)2

Perform the indicated operation. Round to the nearest hundredth, if necessary. - (6.69)(−3.63)(6.69)(-3.63)(6.69)(−3.63)

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

Evaluate the expression for $a=-5, b=16$ and $c=7$ . - $4 \mathrm{~b}+\frac{50}{\mathrm{a}}-\sqrt{\mathrm{b}}$

List all the elements of set $B$ that are of the indicated type. - $\mathrm{B}=\left\{1, \sqrt{5},-12,0, \frac{0}{2}, \sqrt{4}, \pi, \frac{-8}{0}, 0.71\right\}$ Rational numbers

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is a natural number greater than 8 $\}$

Add as indicated. Write the answer as a fraction in lowest terms. - $14 \frac{2}{3}+4 \frac{1}{6}$

Perform the indicated operation. - $15\left(-\frac{9}{20}\right)$

Perform the indicated operation. - $(-2.6)+(-0.8)$

Simplify the expression. - $6 b+3 b$

Use the order of operations to simplify the expression. - $3(4-4|1-6|)$

While shopping for a party, June bought $2 \frac{4}{5}$ pounds of hamburger, $4 \frac{1}{4}$ pounds of chicken, and $5 \frac{1}{2}$ pounds of ham. How much meat did she buy?

Perform the indicated operation. - $\left(-\frac{3}{8}\right)-\left(-\frac{1}{32}\right)$

$-8^{5}=(-8)^{5}$

Add or subtract as indicated. - $-2+14$

Add or subtract as indicated. - $61-(-10)$

Write the set by listing its elements. - $\{\mathrm{a} \mid \mathrm{a}$ is an even integer greater than 6 $\}$

Write the set by listing its elements. - $\{z \mid z$ is a number whose absolute value is 9 $\}$

Perform the indicated operations. - $-1-5^{2}+5(2)+(-5)^{2}$

Perform the indicated operation. Round to the nearest hundredth, if necessary. - $(6.69)(-3.63)$