Question 1

Find the absolute value.
-| 415 |

Accepted Answer

A)  830 
B)  415 
C)  0 
D)  -415 
A)  830 
B)  415 
C)  0 
D)  -415

Question 2

Evaluate $-x$ for the given value of $x$.
-$x=\frac{7}{6}$

Accepted Answer

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

Question 3

Collect like terms.
-$\frac{1}{3} y-y+6 y$

Accepted Answer

A)  $-\frac{16}{3} y$ 
B)  $-\frac{19}{3} \mathrm{y}$ 
C)  $\frac{19}{3} \mathrm{y}$ 
D)  $\frac{16}{3} y$ 
A)  $-\frac{16}{3} y$ 
B)  $-\frac{19}{3} \mathrm{y}$ 
C)  $\frac{19}{3} \mathrm{y}$ 
D)  $\frac{16}{3} y$

Question 4

Divide.
-$\frac{4}{7} \div\left(-\frac{10}{3}\right)$

Accepted Answer

A)  $-\frac{6}{35}$ 
B)  $-\frac{21}{40}$ 
C)  $-\frac{40}{21}$ 
D)  $-\frac{35}{6}$ 
A)  $-\frac{6}{35}$ 
B)  $-\frac{21}{40}$ 
C)  $-\frac{40}{21}$ 
D)  $-\frac{35}{6}$

Question 5

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$(7+y)+9$ as $y+16$

Accepted Answer

The answer of Use the commutative and/or associative laws to...

Question 6

Multiply.
-$\left(\frac{9}{14}\right)\left(-\frac{8}{17}\right)\left(\frac{6}{17}\right)$

Accepted Answer

A)  $-\frac{36}{119}$ 
B)  $-\frac{11}{20}$ 
C)  $\frac{9}{4046}$ 
D)  $-\frac{216}{2023}$ 
A)  $-\frac{36}{119}$ 
B)  $-\frac{11}{20}$ 
C)  $\frac{9}{4046}$ 
D)  $-\frac{216}{2023}$

Question 7

Translate the phrase to an algebraic expression.
-The sum of $x$ and $y$

Accepted Answer

A)  $2 x y$ 
B)  $x+y$ 
C)  $x y$ 
D)  $\frac{x}{y}$ 
A)  $2 x y$ 
B)  $x+y$ 
C)  $x y$ 
D)  $\frac{x}{y}$

Question 8

Find an equivalent expression with the given denominator.
-$\frac{2}{7}=\frac{?}{7 y}$

Accepted Answer

A)  $\frac{14}{7 y}$ 
B)  $\frac{2}{7 y}$ 
C)  $\frac{y}{7 y}$ 
D)  $\frac{2 y}{7 y}$ 
A)  $\frac{14}{7 y}$ 
B)  $\frac{2}{7 y}$ 
C)  $\frac{y}{7 y}$ 
D)  $\frac{2 y}{7 y}$

Question 9

List the terms of the expression.
-$6-6 x-8 x y-4$

Accepted Answer

A)  $6,-6 x,-8 x y,-4$ 
B)  2, $-6 x,-8 x y$ 
C)  $-6 x,-8 x y$ 
D)  $6,-6 x,-8, x, y,-4$ 
A)  $6,-6 x,-8 x y,-4$ 
B)  2, $-6 x,-8 x y$ 
C)  $-6 x,-8 x y$ 
D)  $6,-6 x,-8, x, y,-4$

Question 10

Evaluate.
-$\frac{x+y}{9}$, when $x=11$ and $y=52$

Accepted Answer

A)  6 
B)  5 
C)  8 
D)  7 
A)  6 
B)  5 
C)  8 
D)  7

Question 11

Solve the problem.
-During one year 38 new employees began work at Daniel's Manufacturing Company and 31 employees left. At the beginning of the year there were 262 employees. What was the number of employees at the end of the year?

Accepted Answer

A)  269 employees 
B)  331 employees 
C)  300 employees 
D)  193 employees 
A)  269 employees 
B)  331 employees 
C)  300 employees 
D)  193 employees

Question 12

Multiply.
-$-8 \cdot(-0.8) \cdot 5$

Accepted Answer

A)  320 
B)  -32 
C)  -320 
D)  32 
A)  320 
B)  -32 
C)  -320 
D)  32

Question 13

Multiply.
-$-1.2 \cdot(-12.8)$

Accepted Answer

A)  -14 
B)  15.36 
C)  -11.6 
D)  14 
A)  -14 
B)  15.36 
C)  -11.6 
D)  14

Question 14

Solve the problem.
-The attendance at 3 games of a major sporting event fluctuated above and below the average according to the following table. What was the net change from the average attendance after these three games?

Accepted Answer

A)  505 
B)  -9293 
C)  -5087 
D)  4711 
A)  505 
B)  -9293 
C)  -5087 
D)  4711

Question 15

Determine whether the statement is true or false.
-$9 \leq 3$

Accepted Answer

A) True 
 B)False

Question 16

Rewrite the division as a multiplication.
-$\frac{14.1}{-1.8}$

Accepted Answer

A)  $14.1\left(\frac{1}{1.8}\right)$ 
B)  $14.1 \cdot 1.8$ 
C)  $-14.1 \cdot 1.8$ 
D)  $14.1 \cdot\left(-\frac{1}{1.8}\right)$ 
A)  $14.1\left(\frac{1}{1.8}\right)$ 
B)  $14.1 \cdot 1.8$ 
C)  $-14.1 \cdot 1.8$ 
D)  $14.1 \cdot\left(-\frac{1}{1.8}\right)$

Question 17

Remove parentheses and simplify.
-$-6(8 r+8)+4(2 r+8)$

Accepted Answer

A)  $2 r+2$ 
B)  $-96 \mathrm{r}$ 
C)  $-40 r+8$ 
D)  $-40 \mathrm{r}-16$ 
A)  $2 r+2$ 
B)  $-96 \mathrm{r}$ 
C)  $-40 r+8$ 
D)  $-40 \mathrm{r}-16$

Question 18

Simplify.
-$(6+5)[7+(4+5)]$

Accepted Answer

A)  480 
B)  810 
C)  176 
D)  74 
A)  480 
B)  810 
C)  176 
D)  74

Question 19

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason.
-$x(y 2)$ as $2(x y)$

Accepted Answer

The answer of Use the commutative and/or associative laws to...

Question 20

Simplify.
-$6+(-8)-(-1)-6$

Accepted Answer

A)  19 
B)  5 
C)  3 
D)  -7 
A)  19 
B)  5 
C)  3 
D)  -7

Find the absolute value. -| 415 |

Evaluate $-x$ for the given value of $x$ . - $x=\frac{7}{6}$

Collect like terms. - $\frac{1}{3} y-y+6 y$

Divide. - $\frac{4}{7} \div\left(-\frac{10}{3}\right)$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $(7+y)+9$ as $y+16$

Multiply. - $\left(\frac{9}{14}\right)\left(-\frac{8}{17}\right)\left(\frac{6}{17}\right)$

Translate the phrase to an algebraic expression. -The sum of $x$ and $y$

Find an equivalent expression with the given denominator. - $\frac{2}{7}=\frac{?}{7 y}$

List the terms of the expression. - $6-6 x-8 x y-4$

Evaluate. - $\frac{x+y}{9}$ , when $x=11$ and $y=52$

Solve the problem. -During one year 38 new employees began work at Daniel's Manufacturing Company and 31 employees left. At the beginning of the year there were 262 employees. What was the number of employees at the end of the year?

Multiply. - $-8 \cdot(-0.8) \cdot 5$

Multiply. - $-1.2 \cdot(-12.8)$

Solve the problem. -The attendance at 3 games of a major sporting event fluctuated above and below the average according to the following table. What was the net change from the average attendance after these three games?

Determine whether the statement is true or false. - $9 \leq 3$

Rewrite the division as a multiplication. - $\frac{14.1}{-1.8}$

Remove parentheses and simplify. - $-6(8 r+8)+4(2 r+8)$

Simplify. - $(6+5)[7+(4+5)]$

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - $x(y 2)$ as $2(x y)$

Simplify. - $6+(-8)-(-1)-6$

Whole Numbers

Fraction Notation

Decimal Notation

Percent Notation

Data, Graphs, and Statistics

Geometry

Solving Equations and Inequalities

Graphs of Linear Equations

Polynomials: Operations

Polynomials: Factoring

Rational Expressions and Equations

Systems of Equations

Radical Expressions and Equations

Quadratic Equations

Converting Units of Measurement

Filters

Exam 7: Introduction to Real Numbers and Algebraic Expressions

Find the absolute value. -| 415 |

Evaluate −x-x−x for the given value of xxx . - x=76x=\frac{7}{6}x=67​

Collect like terms. - 13y−y+6y\frac{1}{3} y-y+6 y31​y−y+6y

Divide. - 47÷(−103)\frac{4}{7} \div\left(-\frac{10}{3}\right)74​÷(−310​)

Use the commutative and/or associative laws to rewrite the given expression. Label each step with a reason. - (7+y)+9(7+y)+9(7+y)+9 as y+16y+16y+16

Multiply. - (914)(−817)(617)\left(\frac{9}{14}\right)\left(-\frac{8}{17}\right)\left(\frac{6}{17}\right)(149​)(−178​)(176​)

Translate the phrase to an algebraic expression. -The sum of xxx and yyy

Find an equivalent expression with the given denominator. - 27=?7y\frac{2}{7}=\frac{?}{7 y}72​=7y?​

List the terms of the expression. - 6−6x−8xy−46-6 x-8 x y-46−6x−8xy−4

Evaluate. - x+y9\frac{x+y}{9}9x+y​ , when x=11x=11x=11 and y=52y=52y=52