Question 1

Simplify.
--(4w - 5) + 8(8w + 9)

Accepted Answer

A)  68w + 14 
B)  68w + 4 
C)  -60w + 67 
D)  60w + 77 
A)  68w + 14 
B)  68w + 4 
C)  -60w + 67 
D)  60w + 77

Question 2

Find the value of the expression.
-$\left( - \frac { 1 } { 5 } \right) ^ { 4 }$

Accepted Answer

A)  $- \frac { 1 } { 125 }$ 
B)  $- \frac { 1 } { 625 }$ 
C)  $\frac { 1 } { 25 }$ 
D)  $\frac { 1 } { 625 }$ 
A)  $- \frac { 1 } { 125 }$ 
B)  $- \frac { 1 } { 625 }$ 
C)  $\frac { 1 } { 25 }$ 
D)  $\frac { 1 } { 625 }$

Question 3

Add or subtract as indicated.
-15-3+14

Accepted Answer

A)   -26 
B)  26 
C)   -2 
D)  4 
A)   -26 
B)  26 
C)   -2 
D)  4

Question 4

Write the sentence as an equation.
-Seven subtracted from  x  is equal to  5 .

Accepted Answer

A)   7-x=5 
B)   5-7=x 
C)   7+x=5 
D)   x-7=5 
A)   7-x=5 
B)   5-7=x 
C)   7+x=5 
D)   x-7=5

Question 5

Evaluate the expression for the given values.
-$\frac { y - 7 x } { 8 x + x y }$ when  x=-4  and  y=3

Accepted Answer

A) $\frac { 25 } { 44 }$ 
B) $\frac { 5 } { 4 }$ 
C)  -$\frac { 9 } { 22 }$ 
D)  -$\frac { 31 } { 44 }$ 
A) $\frac { 25 } { 44 }$ 
B) $\frac { 5 } { 4 }$ 
C)  -$\frac { 9 } { 22 }$ 
D)  -$\frac { 31 } { 44 }$

Question 6

Evaluate the expression.
-$( - y ) ^ { 0 }$

Accepted Answer

A)  1 
B)   y 
C)   -1 
D)  0 
A)  1 
B)   y 
C)   -1 
D)  0

Question 7

Simplify the expression.
-$\frac { | 5 | + | - 1 + 5 | } { - 7 }$

Accepted Answer

A)  $\frac { 1 } { 7 }$ 
B)  $- \frac { 1 } { 7 }$ 
C)  $- \frac { 9 } { 7 }$ 
D)  $\frac { 9 } { 7 }$ 
A)  $\frac { 1 } { 7 }$ 
B)  $- \frac { 1 } { 7 }$ 
C)  $- \frac { 9 } { 7 }$ 
D)  $\frac { 9 } { 7 }$

Question 8

Use a commutative property to write an equivalent expression.
-$\frac { 23 } { 16 } \cdot \frac { x } { 7 }$

Accepted Answer

A)  $\frac { 23 } { 16 } \cdot \frac { x } { 7 }$ 
B)  $\frac { 7 } { 16 } \cdot \frac { x } { 23 }$ 
C)  $\frac { x } { 7 } \cdot \frac { 23 } { 16 }$ 
D)  $\frac { x } { 23 } \cdot \frac { 7 } { 16 }$ 
A)  $\frac { 23 } { 16 } \cdot \frac { x } { 7 }$ 
B)  $\frac { 7 } { 16 } \cdot \frac { x } { 23 }$ 
C)  $\frac { x } { 7 } \cdot \frac { 23 } { 16 }$ 
D)  $\frac { x } { 23 } \cdot \frac { 7 } { 16 }$

Question 9

Find the value of the expression.
-$- 3 ^ { 2 }$

Accepted Answer

A)   -9 
B)   -6 
C)  9 
D)  6 
A)   -9 
B)   -6 
C)  9 
D)  6

Question 10

Use a commutative property to write an equivalent expression.
-s.m

Accepted Answer

A)   s+m 
B)  $\mathrm { m } \cdot \mathrm { s }$ 
C)  $\frac { \mathrm { m } } { \mathrm { s } }$ 
D)  $\mathrm { s } ^ { * } \mathrm {~m}$ 
A)   s+m 
B)  $\mathrm { m } \cdot \mathrm { s }$ 
C)  $\frac { \mathrm { m } } { \mathrm { s } }$ 
D)  $\mathrm { s } ^ { * } \mathrm {~m}$

Question 11

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$x ^ { 3 } p + 2 \cdot x ^ { 5 } p + 3$

Accepted Answer

A)  $x ^ { - 3 } p$ 
B)  $x ^ { 2 } p + 5$ 
C)  $x ^ { 8 p } + 5$ 
D)  $x ^ { 2 } p + 2$ 
A)  $x ^ { - 3 } p$ 
B)  $x ^ { 2 } p + 5$ 
C)  $x ^ { 8 p } + 5$ 
D)  $x ^ { 2 } p + 2$

Question 12

Fill in the blank with one of the words or phrases listed below. $$\begin{array} { l l l l } 
\text { distributive } & \text { absolute value } & \text { inequality } & \text { algebraic expression } \
\text { real } & \text { opposite } & \text { commutative } & \text { exponent } \
\text { recinrocals } & \text { associative } & \text { whole } & \text { variable }
\end{array}$$
- 3(x-6)=3 x-18  by the _____ property.

Accepted Answer

A)  commutative 
B)  associative 
C)  variable 
D)  distributive 
A)  commutative 
B)  associative 
C)  variable 
D)  distributive

Question 13

Use the quotient rule to simplify.
-$\frac { 4 x ^ { 9 } } { 2 x ^ { 4 } }$

Accepted Answer

A)   2x4 
B)   2x5 
C)   x5 
D)   x4 
A)   2x4 
B)   2x5 
C)   x5 
D)   x4

Question 14

Use the product rule to simplify the expression.
-$8 ^ { 7 } \cdot 8 ^ { 2 }$

Accepted Answer

A)  $64 ^ { 14 }$ 
B)  $8 ^ { 9 }$ 
C)  $8 ^ { 14 }$ 
D)  $64 ^ { 9 }$ 
A)  $64 ^ { 14 }$ 
B)  $8 ^ { 9 }$ 
C)  $8 ^ { 14 }$ 
D)  $64 ^ { 9 }$

Question 15

Simplify.
-1/2 (8 x-14 y)-3(2 x-y)-5 y

Accepted Answer

A)   -2 x-12 y+3 
B)   -2 x-9 y 
C)   -2 x-15 y 
D)   2 x-9 y 
A)   -2 x-12 y+3 
B)   -2 x-9 y 
C)   -2 x-15 y 
D)   2 x-9 y

Question 16

Multiply or divide as indicated.
-$\frac { - 35 } { 5 }$

Accepted Answer

A)  6 
B)   -6 
C)  7 
D)   -7 
A)  6 
B)   -6 
C)  7 
D)   -7

Question 17

Simplify the expression.
- 1.4(3.4-4.2)

Accepted Answer

A)   0.56 
B)   -0.56 
C)   1.12 
D)   -1.12 
A)   0.56 
B)   -0.56 
C)   1.12 
D)   -1.12

Question 18

Simplify and write with positive exponents only.
-$\frac { x ^ { 3 } } { x ^ { 7 } }$

Accepted Answer

A)  $\frac { 1 } { x ^ { 21 } }$ 
B)   x10 
C)   x4 
D)   $\frac { 1 } { x ^ { 4 } }$ 
A)  $\frac { 1 } { x ^ { 21 } }$ 
B)   x10 
C)   x4 
D)   $\frac { 1 } { x ^ { 4 } }$

Question 19

Which of these is listed as one of several steps in preparing for an exam?

Accepted Answer

A)  Practice exercises by working the chapter review. 
B)  Skip over the chapter Highlights. 
C)  Leave for the exam as late as possible to increase your amount of study time. 
D)  Use your notes, previous assignments, and text the entire time you are studying. 
A)  Practice exercises by working the chapter review. 
B)  Skip over the chapter Highlights. 
C)  Leave for the exam as late as possible to increase your amount of study time. 
D)  Use your notes, previous assignments, and text the entire time you are studying.

Question 20

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0.
-$\left( x ^ { a } + 9 \right) ^ { 7 }$

Accepted Answer

A)  $x ^ { a } + 63$ 
B)  $x ^ { 7 } a + 63$ 
C)  $x ^ { a } + 16$ 
D)  $7 x ^ { a } + 9$ 
A)  $x ^ { a } + 63$ 
B)  $x ^ { 7 } a + 63$ 
C)  $x ^ { a } + 16$ 
D)  $7 x ^ { a } + 9$

Simplify. --(4w - 5) + 8(8w + 9)

Find the value of the expression. - $\left( - \frac { 1 } { 5 } \right) ^ { 4 }$

Add or subtract as indicated. -15-3+14

Write the sentence as an equation. -Seven subtracted from x is equal to 5 .

Evaluate the expression for the given values. - $\frac { y - 7 x } { 8 x + x y }$ when x=-4 and y=3

Evaluate the expression. - $( - y ) ^ { 0 }$

Simplify the expression. - $\frac { | 5 | + | - 1 + 5 | } { - 7 }$

Use a commutative property to write an equivalent expression. - $\frac { 23 } { 16 } \cdot \frac { x } { 7 }$

Find the value of the expression. - $- 3 ^ { 2 }$

Use a commutative property to write an equivalent expression. -s.m

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { 3 } p + 2 \cdot x ^ { 5 } p + 3$

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable - 3(x-6)=3 x-18 by the _____ property.

Use the quotient rule to simplify. - $\frac { 4 x ^ { 9 } } { 2 x ^ { 4 } }$

Use the product rule to simplify the expression. - $8 ^ { 7 } \cdot 8 ^ { 2 }$

Simplify. -1/2 (8 x-14 y)-3(2 x-y)-5 y

Multiply or divide as indicated. - $\frac { - 35 } { 5 }$

Simplify the expression. - 1.4(3.4-4.2)

Simplify and write with positive exponents only. - $\frac { x ^ { 3 } } { x ^ { 7 } }$

Which of these is listed as one of several steps in preparing for an exam?

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\left( x ^ { a } + 9 \right) ^ { 7 }$

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Exam 1: Real Numbers and Algebraic Expressions

Simplify. --(4w - 5) + 8(8w + 9)

Find the value of the expression. - (−15)4\left( - \frac { 1 } { 5 } \right) ^ { 4 }(−51​)4

Add or subtract as indicated. -15-3+14

Write the sentence as an equation. -Seven subtracted from x is equal to 5 .

Evaluate the expression for the given values. - y−7x8x+xy\frac { y - 7 x } { 8 x + x y }8x+xyy−7x​ when x=-4 and y=3

Evaluate the expression. - (−y)0( - y ) ^ { 0 }(−y)0

Simplify the expression. - ∣5∣+∣−1+5∣−7\frac { | 5 | + | - 1 + 5 | } { - 7 }−7∣5∣+∣−1+5∣​

Use a commutative property to write an equivalent expression. - 2316⋅x7\frac { 23 } { 16 } \cdot \frac { x } { 7 }1623​⋅7x​

Find the value of the expression. - −32- 3 ^ { 2 }−32

Use a commutative property to write an equivalent expression. -s.m

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - x3p+2⋅x5p+3x ^ { 3 } p + 2 \cdot x ^ { 5 } p + 3x3p+2⋅x5p+3

Fill in the blank with one of the words or phrases listed below. distributive absolute value inequality algebraic expression real opposite commutative exponent recinrocals associative whole variable - 3(x-6)=3 x-18 by the _____ property.

Use the quotient rule to simplify. - 4x92x4\frac { 4 x ^ { 9 } } { 2 x ^ { 4 } }2x44x9​

Use the product rule to simplify the expression. - 87⋅828 ^ { 7 } \cdot 8 ^ { 2 }87⋅82

Simplify. -1/2 (8 x-14 y)-3(2 x-y)-5 y

Multiply or divide as indicated. - −355\frac { - 35 } { 5 }5−35​

Simplify the expression. - 1.4(3.4-4.2)

Simplify and write with positive exponents only. - x3x7\frac { x ^ { 3 } } { x ^ { 7 } }x7x3​

Which of these is listed as one of several steps in preparing for an exam?

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - (xa+9)7\left( x ^ { a } + 9 \right) ^ { 7 }(xa+9)7

Equations, Inequalities, and Problem Solving

Graphs and Functions

Systems of Equations and Inequalities

Polynomials and Polynomial Functions

Rational Expressions

Rational Exponents, Radicals, and Complex Numbers

Quadratic Equations and Functions

Exponential and Logarithmic Functions

Conic Sections

Fractions

Filters

Find the value of the expression. - $\left( - \frac { 1 } { 5 } \right) ^ { 4 }$

Evaluate the expression for the given values. - $\frac { y - 7 x } { 8 x + x y }$ when x=-4 and y=3

Evaluate the expression. - $( - y ) ^ { 0 }$

Simplify the expression. - $\frac { | 5 | + | - 1 + 5 | } { - 7 }$

Use a commutative property to write an equivalent expression. - $\frac { 23 } { 16 } \cdot \frac { x } { 7 }$

Find the value of the expression. - $- 3 ^ { 2 }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $x ^ { 3 } p + 2 \cdot x ^ { 5 } p + 3$

Use the quotient rule to simplify. - $\frac { 4 x ^ { 9 } } { 2 x ^ { 4 } }$

Use the product rule to simplify the expression. - $8 ^ { 7 } \cdot 8 ^ { 2 }$

Multiply or divide as indicated. - $\frac { - 35 } { 5 }$

Simplify and write with positive exponents only. - $\frac { x ^ { 3 } } { x ^ { 7 } }$

Simplify. Assume that variables in the exponent represent nonzero integers and that all other variables are not 0. - $\left( x ^ { a } + 9 \right) ^ { 7 }$