Question 1

Rewrite the division as a multiplication.
-$\frac{7}{\frac{1}{a}}$

Accepted Answer

A)  $\frac{1}{7} \cdot \frac{1}{a}$ 
B)  $\frac{1}{7} \cdot a$ 
C)  $7 \cdot a$ 
D)  $7 \cdot \frac{1}{a}$ 
A)  $\frac{1}{7} \cdot \frac{1}{a}$ 
B)  $\frac{1}{7} \cdot a$ 
C)  $7 \cdot a$ 
D)  $7 \cdot \frac{1}{a}$

Question 2

List the terms of the expression.
-$-8 x+16 y$

Accepted Answer

A)  $-8, x, 16, y$ 
B)  $-8 x,-16 y$ 
C)  $-8 x, 16 y$ 
D)  $8 x, 16 y$ 
A)  $-8, x, 16, y$ 
B)  $-8 x,-16 y$ 
C)  $-8 x, 16 y$ 
D)  $8 x, 16 y$

Question 3

Factor. Check by multiplying.
-$20 a+5 b$

Accepted Answer

A)  $4(5 a+5 b)$ 
B)  $5(4 a+5 b)$ 
C)  $20(a+b)$ 
D)  $5(4 a+b)$ 
A)  $4(5 a+5 b)$ 
B)  $5(4 a+5 b)$ 
C)  $20(a+b)$ 
D)  $5(4 a+b)$

Question 4

Collect like terms.
-$4 x-2.7 y-0.5 x+5 y$

Accepted Answer

A)  $4 x-0.5 x-2.7 y+5 y$ 
B)  $3.5 x+2.3 y$ 
C)  $3.5 x-2.7 y+5$ 
D)  $2.3 x+3.5 y$ 
A)  $4 x-0.5 x-2.7 y+5 y$ 
B)  $3.5 x+2.3 y$ 
C)  $3.5 x-2.7 y+5$ 
D)  $2.3 x+3.5 y$

Question 5

Multiply.
-$8(9+7 \mathrm{~s})$

Accepted Answer

A)  $72+7 \mathrm{~s}$ 
B)  $72+56 \mathrm{~s}$ 
C)  $72+504 \mathrm{~s}$ 
D)  $9+56 \mathrm{~s}$ 
A)  $72+7 \mathrm{~s}$ 
B)  $72+56 \mathrm{~s}$ 
C)  $72+504 \mathrm{~s}$ 
D)  $9+56 \mathrm{~s}$

Question 6

Find the opposite, or additive inverse.
-25.7

Accepted Answer

A)  -25.7 
B)  $\frac{1}{25.7}$ 
C)  25.7 
D)  0 
A)  -25.7 
B)  $\frac{1}{25.7}$ 
C)  25.7 
D)  0

Question 7

Multiply.
-$7 \cdot(-8) \cdot 9 \cdot(-19)$

Accepted Answer

A)  -9576 
B)  -11 
C)  -485 
D)  9576 
A)  -9576 
B)  -11 
C)  -485 
D)  9576

Question 8

Multiply.
-$3(8 x+7)$

Accepted Answer

A)  $8 x+21$ 
B)  $168 x$ 
C)  $24 x+7$ 
D)  $24 x+21$ 
A)  $8 x+21$ 
B)  $168 x$ 
C)  $24 x+7$ 
D)  $24 x+21$

Question 9

Convert to decimal notation.
-$-\frac{7}{4}$

Accepted Answer

A)  -1.75 
B)  $-0 . \overline{175}$ 
C)  -0.875 
D)  -0.175 
A)  -1.75 
B)  $-0 . \overline{175}$ 
C)  -0.875 
D)  -0.175

Question 10

Insert  to write a true statement.
-$\frac{16}{26}$____$\frac{2}{3}$

Accepted Answer

A)  $\frac{16}{26}\frac{2}{3}$ 
A)  $\frac{16}{26}\frac{2}{3}$

Question 11

Solve the problem.
-Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 34 feet below the surface. How long must Nikki's fish line be to reach the fish?

Accepted Answer

A)  56 feet 
B)  -22 feet 
C)  12 feet 
D)  -12 feet 
A)  56 feet 
B)  -22 feet 
C)  12 feet 
D)  -12 feet

Question 12

Multiply.
-$\left(\frac{1}{3}\right)\left(\frac{16}{19}\right)$

Accepted Answer

A)  $-\frac{1}{57}$ 
B)  $\frac{16}{57}$ 
C)  $\frac{14}{13}$ 
D)  $\frac{48}{19}$ 
A)  $-\frac{1}{57}$ 
B)  $\frac{16}{57}$ 
C)  $\frac{14}{13}$ 
D)  $\frac{48}{19}$

Question 13

Multiply.
-$(-1)^{23}$

Accepted Answer

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

Question 14

Solve the problem.
-The ocean surface is at $0 \mathrm{ft}$ elevation. A diver is underwater at an elevation of $-173 \mathrm{ft}$ near a rock formation. In this area, the ocean floor has an elevation of $-296 \mathrm{ft}$. The rock formation rises to a peak $169 \mathrm{ft}$ above the ocean floor. How many feet below the top of the rock formation is the diver?

Accepted Answer

A)  $46 \mathrm{ft}$ 
B)  $4 \mathrm{ft}$ 
C)  $127 \mathrm{ft}$ 
D)  $123 \mathrm{ft}$ 
A)  $46 \mathrm{ft}$ 
B)  $4 \mathrm{ft}$ 
C)  $127 \mathrm{ft}$ 
D)  $123 \mathrm{ft}$

Question 15

Find the reciprocal, if it exists.
-$\frac{-1}{3 y}$

Accepted Answer

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

Question 16

Divide, if possible.
-$-144 \div(-6)$

Accepted Answer

A)  $\frac{1}{24}$ 
B)  -24 
C)  14 
D)  24 
A)  $\frac{1}{24}$ 
B)  -24 
C)  14 
D)  24

Question 17

Simplify.
-$\frac{3}{4}-\left(-\frac{5}{16}\right)+\frac{1}{2}-\frac{5}{8}$

Accepted Answer

A)  $\frac{5}{16}$ 
B)  $\frac{15}{16}$ 
C)  $\frac{2}{15}$ 
D)  $-\frac{5}{16}$ 
A)  $\frac{5}{16}$ 
B)  $\frac{15}{16}$ 
C)  $\frac{2}{15}$ 
D)  $-\frac{5}{16}$

Question 18

Collect like terms.
-$9 a-6 a+3$

Accepted Answer

A)  $3 a+3$ 
B)  $6 a$ 
C)  $-3 a+3$ 
D)  $15 a+3$ 
A)  $3 a+3$ 
B)  $6 a$ 
C)  $-3 a+3$ 
D)  $15 a+3$

Question 19

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

Accepted Answer

A)  $-\frac{1}{8}$ 
B)  $\frac{25}{28}$ 
C)  $-\frac{25}{28}$ 
D)  $-\frac{17}{28}$ 
A)  $-\frac{1}{8}$ 
B)  $\frac{25}{28}$ 
C)  $-\frac{25}{28}$ 
D)  $-\frac{17}{28}$

Question 20

Divide.
-$\frac{-8}{-8-(-6)}$

Accepted Answer

A)  -1 
B)  -4 
C)  1 
D)  4 
A)  -1 
B)  -4 
C)  1 
D)  4

Rewrite the division as a multiplication. - $\frac{7}{\frac{1}{a}}$

List the terms of the expression. - $-8 x+16 y$

Factor. Check by multiplying. - $20 a+5 b$

Collect like terms. - $4 x-2.7 y-0.5 x+5 y$

Multiply. - $8(9+7 \mathrm{~s})$

Find the opposite, or additive inverse. -25.7

Multiply. - $7 \cdot(-8) \cdot 9 \cdot(-19)$

Multiply. - $3(8 x+7)$

Convert to decimal notation. - $-\frac{7}{4}$

Insert $<$ or $>$ to write a true statement. - $\frac{16}{26}$ ____ $\frac{2}{3}$

Solve the problem. -Nikki is fishing from a bank 22 feet above water level. In this location, the fish tend to feed at 34 feet below the surface. How long must Nikki's fish line be to reach the fish?

Multiply. - $\left(\frac{1}{3}\right)\left(\frac{16}{19}\right)$

Multiply. - $(-1)^{23}$

Find the reciprocal, if it exists. - $\frac{-1}{3 y}$

Divide, if possible. - $-144 \div(-6)$

Simplify. - $\frac{3}{4}-\left(-\frac{5}{16}\right)+\frac{1}{2}-\frac{5}{8}$

Collect like terms. - $9 a-6 a+3$

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

Divide. - $\frac{-8}{-8-(-6)}$

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

Rewrite the division as a multiplication. - 71a\frac{7}{\frac{1}{a}}a1​7​

List the terms of the expression. - −8x+16y-8 x+16 y−8x+16y

Factor. Check by multiplying. - 20a+5b20 a+5 b20a+5b

Collect like terms. - 4x−2.7y−0.5x+5y4 x-2.7 y-0.5 x+5 y4x−2.7y−0.5x+5y

Multiply. - 8(9+7 s)8(9+7 \mathrm{~s})8(9+7 s)