Question 1

Convert to decimal notation.
-$\frac{7}{15}$

Accepted Answer

A)  0.5 
B)  $0 . \overline{4}$ 
C)  $0.4 \overline{6}$ 
D)  $2.1 \overline{4}$ 
A)  0.5 
B)  $0 . \overline{4}$ 
C)  $0.4 \overline{6}$ 
D)  $2.1 \overline{4}$

Question 2

Multiply.
-$3(2 r+7+2 s)$

Accepted Answer

A)  $6 r+7+2 s$ 
B)  $6 r+21+6 s$ 
C)  $6 r+7+6 s$ 
D)  $6 r+21+2 s$ 
A)  $6 r+7+2 s$ 
B)  $6 r+21+6 s$ 
C)  $6 r+7+6 s$ 
D)  $6 r+21+2 s$

Question 3

Divide, if possible.
-$\frac{-180}{-90}$

Accepted Answer

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

Question 4

Multiply.
-$-18 \cdot(-10)$

Accepted Answer

A)  190 
B)  180 
C)  -198 
D)  198 
A)  190 
B)  180 
C)  -198 
D)  198

Question 5

Multiply.
-$\left(\frac{12}{7}\right)\left(\frac{14}{9}\right)$

Accepted Answer

A)  $\frac{49}{54}$ 
B)  1 
C)  $\frac{4}{21}$ 
D)  $\frac{8}{3}$ 
A)  $\frac{49}{54}$ 
B)  1 
C)  $\frac{4}{21}$ 
D)  $\frac{8}{3}$

Question 6

Subtract.
-$-65-(-30)$

Accepted Answer

A)  95 
B)  -35 
C)  35 
D)  -95 
A)  95 
B)  -35 
C)  35 
D)  -95

Question 7

Subtract.
-$10-(-8)$

Accepted Answer

A)  2 
B)  18 
C)  -2 
D)  -18 
A)  2 
B)  18 
C)  -2 
D)  -18

Question 8

Multiply.
-$\left(-\frac{4}{7}\right) \cdot\left(-\frac{1}{3}\right)$

Accepted Answer

A)  $\frac{1}{7}$ 
B)  $\frac{4}{21}$ 
C)  $\frac{7}{12}$ 
D)  $-\frac{3}{4}$ 
A)  $\frac{1}{7}$ 
B)  $\frac{4}{21}$ 
C)  $\frac{7}{12}$ 
D)  $-\frac{3}{4}$

Question 9

Collect like terms.
-$-15 y-9 x-6 x$

Accepted Answer

A)  $-15 y-3 x$ 
B)  $-30 x y$ 
C)  $-15 y+3 x$ 
D)  $-15 y-15 x$ 
A)  $-15 y-3 x$ 
B)  $-30 x y$ 
C)  $-15 y+3 x$ 
D)  $-15 y-15 x$

Question 10

Provide an appropriate response.
-Choose the expression that is equivalent to the following: $(8 x+2 y)(9 y+3 x)$

Accepted Answer

A)  $(8 x+2 y)(3 x+9 y)$ 
B)  $(8 x+3 x)(2 y+9 y)$ 
C)  $(8 x+2 y)(3 y+9 x)$ 
D)  $11 x+11 y$ 
A)  $(8 x+2 y)(3 x+9 y)$ 
B)  $(8 x+3 x)(2 y+9 y)$ 
C)  $(8 x+2 y)(3 y+9 x)$ 
D)  $11 x+11 y$

Question 11

Convert to decimal notation.
-$\frac{17}{8}$

Accepted Answer

A)  -2.125 
B)  4.25 
C)  2.125 
D)  6.375 
A)  -2.125 
B)  4.25 
C)  2.125 
D)  6.375

Question 12

Divide, if possible.
-$\frac{-12}{3}$

Accepted Answer

A)  -4 
B)  -14 
C)  4 
D)  $-\frac{1}{4}$ 
A)  -4 
B)  -14 
C)  4 
D)  $-\frac{1}{4}$

Question 13

Solve the problem.
-A bike road race starts at an elevation of 610 feet and passes through 5 stages where the elevation changes by 87 feet, -707 feet, -325 feet, 239 feet, and -70 feet. At what elevation does the race end?

Accepted Answer

A)  2038 feet 
B)  -166 feet 
C)  -2038 feet 
D)  1399 feet 
A)  2038 feet 
B)  -166 feet 
C)  -2038 feet 
D)  1399 feet

Question 14

Multiply.
-$-2.98 \cdot(-6.5)$

Accepted Answer

A)  -9.48 
B)  19.37 
C)  -3.52 
D)  9.48 
A)  -9.48 
B)  19.37 
C)  -3.52 
D)  9.48

Question 15

Multiply.
-$\left(-\frac{1}{2}\right)\left(-\frac{1}{2}\right)$

Accepted Answer

A)  $\frac{1}{4}$ 
B)  1 
C)  $-\frac{1}{28}$ 
D)  $-\frac{1}{2}$ 
A)  $\frac{1}{4}$ 
B)  1 
C)  $-\frac{1}{28}$ 
D)  $-\frac{1}{2}$

Question 16

Multiply.
-$4(x+7)$

Accepted Answer

A)  $4 x+4$ 
B)  $4 \mathrm{x}+7$ 
C)  $4 x+28$ 
D)  $28 x$ 
A)  $4 x+4$ 
B)  $4 \mathrm{x}+7$ 
C)  $4 x+28$ 
D)  $28 x$

Question 17

Substitute to find the value of the expression.
-The area of a triangle with base $b$ and height $h$ is given by the formula $A=\frac{1}{2} b h$. Find the area of $a$ triangle when the base is 1.1 centimeters and the height is 3.3 centimeters.

Accepted Answer

A)  $0.17 \mathrm{~cm}^{2}$ 
B)  $3.63 \mathrm{~cm}^{2}$ 
C)  $1.815 \mathrm{~cm}^{2}$ 
D)  $1.452 \mathrm{~cm}^{2}$ 
A)  $0.17 \mathrm{~cm}^{2}$ 
B)  $3.63 \mathrm{~cm}^{2}$ 
C)  $1.815 \mathrm{~cm}^{2}$ 
D)  $1.452 \mathrm{~cm}^{2}$

Question 18

Factor. Check by multiplying.
-$\frac{1}{8} x-\frac{11}{8} y+\frac{5}{8}$

Accepted Answer

A)  $\frac{1}{8}\left(x-\frac{11}{8} y+\frac{5}{8}\right)$ 
B)  $\frac{1}{8}(x-11 y+5)$ 
C)  $\frac{1}{8}(x+11 y-5)$ 
D)  $8(x-11 y+5)$ 
A)  $\frac{1}{8}\left(x-\frac{11}{8} y+\frac{5}{8}\right)$ 
B)  $\frac{1}{8}(x-11 y+5)$ 
C)  $\frac{1}{8}(x+11 y-5)$ 
D)  $8(x-11 y+5)$

Question 19

Subtract.
-$-12-20$

Accepted Answer

A)  -8 
B)  32 
C)  8 
D)  -32 
A)  -8 
B)  32 
C)  8 
D)  -32

Question 20

Simplify.
-$[2(x-4)-6]+[7(x-1)+7]$

Accepted Answer

A)  $9 x-14$ 
B)  $9 x-6$ 
C)  $2 x-21$ 
D)  $9 x-10$ 
A)  $9 x-14$ 
B)  $9 x-6$ 
C)  $2 x-21$ 
D)  $9 x-10$

Convert to decimal notation. - $\frac{7}{15}$

Multiply. - $3(2 r+7+2 s)$

Divide, if possible. - $\frac{-180}{-90}$

Multiply. - $-18 \cdot(-10)$

Multiply. - $\left(\frac{12}{7}\right)\left(\frac{14}{9}\right)$

Subtract. - $-65-(-30)$

Subtract. - $10-(-8)$

Multiply. - $\left(-\frac{4}{7}\right) \cdot\left(-\frac{1}{3}\right)$

Collect like terms. - $-15 y-9 x-6 x$

Provide an appropriate response. -Choose the expression that is equivalent to the following: $(8 x+2 y)(9 y+3 x)$

Convert to decimal notation. - $\frac{17}{8}$

Divide, if possible. - $\frac{-12}{3}$

Solve the problem. -A bike road race starts at an elevation of 610 feet and passes through 5 stages where the elevation changes by 87 feet, -707 feet, -325 feet, 239 feet, and -70 feet. At what elevation does the race end?

Multiply. - $-2.98 \cdot(-6.5)$

Multiply. - $\left(-\frac{1}{2}\right)\left(-\frac{1}{2}\right)$

Multiply. - $4(x+7)$

Substitute to find the value of the expression. -The area of a triangle with base $b$ and height $h$ is given by the formula $A=\frac{1}{2} b h$ . Find the area of $a$ triangle when the base is 1.1 centimeters and the height is 3.3 centimeters.

Factor. Check by multiplying. - $\frac{1}{8} x-\frac{11}{8} y+\frac{5}{8}$

Subtract. - $-12-20$

Simplify. - $[2(x-4)-6]+[7(x-1)+7]$

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

Convert to decimal notation. - 715\frac{7}{15}157​

Multiply. - 3(2r+7+2s)3(2 r+7+2 s)3(2r+7+2s)

Divide, if possible. - −180−90\frac{-180}{-90}−90−180​

Multiply. - −18⋅(−10)-18 \cdot(-10)−18⋅(−10)

Multiply. - (127)(149)\left(\frac{12}{7}\right)\left(\frac{14}{9}\right)(712​)(914​)

Subtract. - −65−(−30)-65-(-30)−65−(−30)

Subtract. - 10−(−8)10-(-8)10−(−8)

Multiply. - (−47)⋅(−13)\left(-\frac{4}{7}\right) \cdot\left(-\frac{1}{3}\right)(−74​)⋅(−31​)

Collect like terms. - −15y−9x−6x-15 y-9 x-6 x−15y−9x−6x

Provide an appropriate response. -Choose the expression that is equivalent to the following: (8x+2y)(9y+3x)(8 x+2 y)(9 y+3 x)(8x+2y)(9y+3x)

Convert to decimal notation. - 178\frac{17}{8}817​

Divide, if possible. - −123\frac{-12}{3}3−12​