Question 1

Solve the equation. $5 ( x + 1 ) = 15$

Accepted Answer

A)  $x = 1$ 
B)  $x = 13$ 
C)  $x = 10$ 
D)  $x = 2$ 
E)  $x = 7$ 
A)  $x = 1$ 
B)  $x = 13$ 
C)  $x = 10$ 
D)  $x = 2$ 
E)  $x = 7$

Question 2

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

Accepted Answer

A)  $4$ 
B)  $3$ 
C)  $- 4$ 
D)  $- 2$ 
A)  $4$ 
B)  $3$ 
C)  $- 4$ 
D)  $- 2$

Question 3

The length of a rectangle is 7 times its width. If the perimeter of the rectangle is 112 inches, find its length and width.

Accepted Answer

A)  the length is 980 inches and the width is 49 inches 
B)  the length is 49 inches and the width is 7 inches 
C)  the length is 70 inches and the width is 14 inches 
D)  the length is 343 inches and the width is 49 inches 
E)  the length is 343 inches and the width is 7 inches 
A)  the length is 980 inches and the width is 49 inches 
B)  the length is 49 inches and the width is 7 inches 
C)  the length is 70 inches and the width is 14 inches 
D)  the length is 343 inches and the width is 49 inches 
E)  the length is 343 inches and the width is 7 inches

Question 4

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

Accepted Answer

The answer of In the expression \(- 4 ^ {...

Question 5

Solve the equation. $38 = - 4 - 17 b$

Accepted Answer

A)  $b = \frac { 42 } { 17 }$ 
B)  $b = - \frac { 42 } { 17 }$ 
C)  $b = - \frac { 34 } { 17 }$ 
D)  $b = - \frac { 17 } { 42 }$ 
E)  $b = \frac { 34 } { 17 }$ 
A)  $b = \frac { 42 } { 17 }$ 
B)  $b = - \frac { 42 } { 17 }$ 
C)  $b = - \frac { 34 } { 17 }$ 
D)  $b = - \frac { 17 } { 42 }$ 
E)  $b = \frac { 34 } { 17 }$

Question 6

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

Accepted Answer

A)  $x = 19$ 
B)  $x = - 10$ 
C)  $x = 6$ 
D)  $x = 10$ 
E)  $x = 14$ 
A)  $x = 19$ 
B)  $x = - 10$ 
C)  $x = 6$ 
D)  $x = 10$ 
E)  $x = 14$

Question 7

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Accepted Answer

A)  6,648 
B)  6,548 
C)  6,553 
D)  6,537 
E)  6,546 
A)  6,648 
B)  6,548 
C)  6,553 
D)  6,537 
E)  6,546

Question 8

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Accepted Answer

A)  $x y - z$ 
B)  $z - y$ 
C)  $x y z$ 
D)  $z - x y$ 
E)  $x + 2 z$ 
A)  $x y - z$ 
B)  $z - y$ 
C)  $x y z$ 
D)  $z - x y$ 
E)  $x + 2 z$

Question 9

Find the product. $\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)$

Accepted Answer

A)  $11 t ^ { 6 } x ^ { 6 }$ 
B)  $30 t ^ { 6 } x ^ { 6 }$ 
C)  $30 t ^ { 8 } x ^ { 8 }$ 
D)  $30 t ^ { 2 } x ^ { 2 }$ 
E)  none of these 
A)  $11 t ^ { 6 } x ^ { 6 }$ 
B)  $30 t ^ { 6 } x ^ { 6 }$ 
C)  $30 t ^ { 8 } x ^ { 8 }$ 
D)  $30 t ^ { 2 } x ^ { 2 }$ 
E)  none of these

Question 10

Use an equation to solve the problem.
A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

Accepted Answer

A)  $70 
B)  $85 
C)  $105 
D)  $90 
E)  $100 
A)  $70 
B)  $85 
C)  $105 
D)  $90 
E)  $100

Question 11

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$  rewritten using only one exponent?

Accepted Answer

A)  $8 c ^ { 7 }$ 
B)  $40 c$ 
C)  $40 c ^ { 6 }$ 
D)  $40 c ^ { 7 }$ 
E)  $9 c ^ { 7 }$ 
A)  $8 c ^ { 7 }$ 
B)  $40 c$ 
C)  $40 c ^ { 6 }$ 
D)  $40 c ^ { 7 }$ 
E)  $9 c ^ { 7 }$

Question 12

Select the expression that completes the formula below. $( x y ) ^ { k }$

Accepted Answer

A)  $x ^ { k } y ^ { k }$ 
B)  $x ^ { m + k }$ 
C)  $x ^ { m k }$ 
D)  $\frac { x ^ { k } } { y ^ { k } }$ 
E)  none of these 
A)  $x ^ { k } y ^ { k }$ 
B)  $x ^ { m + k }$ 
C)  $x ^ { m k }$ 
D)  $\frac { x ^ { k } } { y ^ { k } }$ 
E)  none of these

Question 13

Use a property of equality to solve the equation. Then check the result. $y + 11 = 16$ $y =$ __________

Accepted Answer

The answer of Use a property of equality to solve...

Question 14

What is $t ^ { 3 } \cdot t ^ { 3 }$  rewritten using only one exponent?

Accepted Answer

A)  $t ^ { 0 }$ 
B)  $t ^ { 6 }$ 
C)  $t ^ { 3 }$ 
D)  $t ^ { 9 }$ 
E)  none of these 
A)  $t ^ { 0 }$ 
B)  $t ^ { 6 }$ 
C)  $t ^ { 3 }$ 
D)  $t ^ { 9 }$ 
E)  none of these

Question 15

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

Accepted Answer

The answer of Use the division or the multiplication property...

Question 16

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

Accepted Answer

A)  -15, -16, -17 
B)  15, 14, 13 
C)  17, 18, 19 
D)  20, 21, 22 
E)  15, 16, 17 
A)  -15, -16, -17 
B)  15, 14, 13 
C)  17, 18, 19 
D)  20, 21, 22 
E)  15, 16, 17

Question 17

Tell whether the given number is a solution of the equation. $\frac { y } { 5 } = 7$ ; $y = 41$

Accepted Answer

A)  restricted solution 
B)  not a solution 
C)  solution 
D)  conflicting solution 
E)  none of these 
A)  restricted solution 
B)  not a solution 
C)  solution 
D)  conflicting solution 
E)  none of these

Question 18

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Accepted Answer

The answer of Use a property of equality to solve...

Question 19

Use a property of equality to solve the equation. Then check the result. $a + 5 = 0$   $a$ = __________

Accepted Answer

The answer of Use a property of equality to solve...

Question 20

Simplify the expression.  $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$

Accepted Answer

A)  $y ^ { 45 }$ 
B)  $y ^ { 29 }$ 
C)  $y ^ { 40 }$ 
D)  $y ^ { 20 }$ 
E)  $y ^ { 14 }$ 
A)  $y ^ { 45 }$ 
B)  $y ^ { 29 }$ 
C)  $y ^ { 40 }$ 
D)  $y ^ { 20 }$ 
E)  $y ^ { 14 }$

Solve the equation. $5 ( x + 1 ) = 15$

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

The length of a rectangle is 7 times its width. If the perimeter of the rectangle is 112 inches, find its length and width.

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

Solve the equation. $38 = - 4 - 17 b$

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Find the product. $\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)$

Use an equation to solve the problem. A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$ rewritten using only one exponent?

Select the expression that completes the formula below. $( x y ) ^ { k }$

Use a property of equality to solve the equation. Then check the result. $y + 11 = 16$ $y =$ __________

What is $t ^ { 3 } \cdot t ^ { 3 }$ rewritten using only one exponent?

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

Tell whether the given number is a solution of the equation. $\frac { y } { 5 } = 7$ ; $y = 41$

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Use a property of equality to solve the equation. Then check the result. $a + 5 = 0$ $a$ = __________

Simplify the expression. $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$

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Exam 8: An Introduction to Algebra

Solve the equation. 5(x+1)=155 ( x + 1 ) = 155(x+1)=15

In the expression 3x2−2x−43 x ^ { 2 } - 2 x - 43x2−2x−4 , what is the constant?

The length of a rectangle is 7 times its width. If the perimeter of the rectangle is 112 inches, find its length and width.

In the expression −4−10- 4 ^ { - 10 }−4−10 , what is the base and the exponent?

Solve the equation. 38=−4−17b38 = - 4 - 17 b38=−4−17b

Solve the equation. 3x−5+6x−8x+3=83 x - 5 + 6 x - 8 x + 3 = 83x−5+6x−8x+3=8

Evaluate the expression. 6⋅103+5⋅102+4⋅101+86 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 86⋅103+5⋅102+4⋅101+8

Let x , y , and z represent three real numbers. Write an algebraic expression to denote the product of z , x , and y .

Find the product. (6t4x4)(5t2x2)\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)(6t4x4)(5t2x2)

Use an equation to solve the problem. A sport jacket that sells for $180 has a markup of $90. Find the wholesale price.

What is 2c3(4c2)5c22 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }2c3(4c2)5c2 rewritten using only one exponent?

Select the expression that completes the formula below. (xy)k( x y ) ^ { k }(xy)k

Use a property of equality to solve the equation. Then check the result. y+11=16y + 11 = 16y+11=16 y=y =y= __________

What is t3⋅t3t ^ { 3 } \cdot t ^ { 3 }t3⋅t3 rewritten using only one exponent?

Use the division or the multiplication property of equality to solve 28a=2,07228 a = 2,07228a=2,072 . What is the result? a=a =a= __________

Use an algebraic approach to solve the problem. Find three consecutive integers whose sum is 48.

Tell whether the given number is a solution of the equation. y5=7\frac { y } { 5 } = 75y​=7 ; y=41y = 41y=41

Use a property of equality to solve the equation. Then check the result. f+3.3=1.2f + 3.3 = 1.2f+3.3=1.2 f=f =f= __________

Use a property of equality to solve the equation. Then check the result. a+5=0a + 5 = 0a+5=0 aaa = __________

Simplify the expression. (y5y5)4\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }(y5y5)4

Whole Numbers

The Integers

Fractions and Mixed Numbers

Decimals

Ratio, Proportion, and Measurement

Percent

Graphs, Statistics, and Probability

An Introduction to Geometry

Filters

Solve the equation. $5 ( x + 1 ) = 15$

In the expression $3 x ^ { 2 } - 2 x - 4$ , what is the constant?

In the expression $- 4 ^ { - 10 }$ , what is the base and the exponent?

Solve the equation. $38 = - 4 - 17 b$

Solve the equation. $3 x - 5 + 6 x - 8 x + 3 = 8$

Evaluate the expression. $6 \cdot 10 ^ { 3 } + 5 \cdot 10 ^ { 2 } + 4 \cdot 10 ^ { 1 } + 8$

Find the product. $\left( 6 t ^ { 4 } x ^ { 4 } \right) \left( 5 t ^ { 2 } x ^ { 2 } \right)$

What is $2 c ^ { 3 } \left( 4 c ^ { 2 } \right) 5 c ^ { 2 }$ rewritten using only one exponent?

Select the expression that completes the formula below. $( x y ) ^ { k }$

Use a property of equality to solve the equation. Then check the result. $y + 11 = 16$ $y =$ __________

What is $t ^ { 3 } \cdot t ^ { 3 }$ rewritten using only one exponent?

Use the division or the multiplication property of equality to solve $28 a = 2,072$ . What is the result? $a =$ __________

Tell whether the given number is a solution of the equation. $\frac { y } { 5 } = 7$ ; $y = 41$

Use a property of equality to solve the equation. Then check the result. $f + 3.3 = 1.2$ $f =$ __________

Use a property of equality to solve the equation. Then check the result. $a + 5 = 0$ $a$ = __________

Simplify the expression. $\left( y ^ { 5 } y ^ { 5 } \right) ^ { 4 }$