Question 1

The sum of 6 and twice a number is equal to five times the number. 
The number is: __________

Accepted Answer

The answer of The sum of 6 and twice a...

Question 2

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many of each type do x molecules contain? __________ atoms of iron __________ atoms of oxygen

Accepted Answer

The answer of A molecule of \(\mathrm { Fe }...

Question 3

Solve the inequality. $8>-u$

Accepted Answer

The answer of Solve the inequality. $8>-u$...

Question 4

Find two consecutive numbers whose sum is 115.

Accepted Answer

A)  55, 56 
B)  56, 57 
C)  59, 60 
D)  57, 58 
E)  54, 55 
A)  55, 56 
B)  56, 57 
C)  59, 60 
D)  57, 58 
E)  54, 55

Question 5

Solve for the variable that is capitalized. Assume that none of the variables is 0. $A + 3 b = 11$

Accepted Answer

The answer of Solve for the variable that is capitalized....

Question 6

Solve the inequality. -11 > -m

Accepted Answer

A) m 11 D) m > -11 E) m < 11 A) m 11 D) m > -11 E) m < 11

Question 7

Solve the equation. $$x + 2 = 15$$

Accepted Answer

A)  $x = - 17$ 
B)  $x = - 13$ 
C)  $x = 30$ 
D)  $x = 17$ 
E)  $x = 13$ 
A)  $x = - 17$ 
B)  $x = - 13$ 
C)  $x = 30$ 
D)  $x = 17$ 
E)  $x = 13$

Question 8

Simplify the expression. $$( 5 x + 8 y ) + ( 4 x - 3 y )$$

Accepted Answer

The answer of Simplify the expression. \[( 5 x +...

Question 9

Simplify the expression as completely as possible. $$- a a ^ { 4 } a ^ { 3 }$$

Accepted Answer

A)  $- a ^ { 12 }$ 
B)  $a ^ { 12 }$ 
C)  $- a ^ { 7 }$ 
D)  $- a ^ { 8 }$ 
E)  $a ^ { 8 }$ 
A)  $- a ^ { 12 }$ 
B)  $a ^ { 12 }$ 
C)  $- a ^ { 7 }$ 
D)  $- a ^ { 8 }$ 
E)  $a ^ { 8 }$

Question 10

Give the degree of the polynomial. Enter your answer as a number. $$4 a b - d$$

Accepted Answer

The answer of Give the degree of the polynomial. Enter...

Question 11

Simplify the following expression by combining similar terms. $$3 x - 6 x$$

Accepted Answer

A)  $- 3 x ^ { 2 }$ 
B)  $- 9 x$ 
C)  $9 x$ 
D)  $- 3 x$ 
E)  $- 3$ 
A)  $- 3 x ^ { 2 }$ 
B)  $- 9 x$ 
C)  $9 x$ 
D)  $- 3 x$ 
E)  $- 3$

Question 12

Solve the equation. $$2 ( x - 4 ) = 3 ( x - 5 )$$

Accepted Answer

A)  $x = 4$ 
B)  $x = - 4$ 
C)  $x = - 7$ 
D)  $x = - 1$ 
E)  $x = 7$ 
A)  $x = 4$ 
B)  $x = - 4$ 
C)  $x = - 7$ 
D)  $x = - 1$ 
E)  $x = 7$

Question 13

Solve the formula $H = k p x$ for the variable $p$ .

Accepted Answer

The answer of Solve the formula \(H = k p...

Question 14

You have a jar of 160 nuts and 150 bolts, and you dump this into a can that has 15 bolts and 135 nuts. How many nuts and bolts are now in the can? 
__________ nuts 
__________ bolts

Accepted Answer

The answer of You have a jar of 160 nuts...

Question 15

Simplify the algebraic expression. $3 ( x + y ) + 3 x - y$

Accepted Answer

The answer of Simplify the algebraic expression. \(3 ( x...

Question 16

A plumber cuts a pipe that is 16 feet long into $x$ equal pieces. Find an expression for the length of each piece.

Accepted Answer

The answer of A plumber cuts a pipe that is...

Question 17

Solve the equation. $$4 ( c + 7 ) = 3 ( c - 2 )$$ $$c =$$ __________

Accepted Answer

The answer of Solve the equation. \[4 ( c +...

Question 18

Simplify the algebraic expression. $$y \left( 9 y ^ { 2 } + 8 y + 8 \right) - y \left( 3 y ^ { 2 } - 4 y + 5 \right)$$

Accepted Answer

A)  $6 y ^ { 3 } + 12 y ^ { 2 } + 3 y$ 
B)  $6 y ^ { 3 } + 4 y + 3$ 
C)  $6 y ^ { 3 } + 4 y ^ { 2 } + 3 y$ 
D)  $6 y ^ { 2 } + 12 y + 3$ 
E)  $6 y ^ { 3 } - 12 y ^ { 2 } - 3 y$ 
A)  $6 y ^ { 3 } + 12 y ^ { 2 } + 3 y$ 
B)  $6 y ^ { 3 } + 4 y + 3$ 
C)  $6 y ^ { 3 } + 4 y ^ { 2 } + 3 y$ 
D)  $6 y ^ { 2 } + 12 y + 3$ 
E)  $6 y ^ { 3 } - 12 y ^ { 2 } - 3 y$

Question 19

The first step in solving $x + 10 = 4$ is to subtract 4 from both sides.

Accepted Answer

A) True 
 B)False

Question 20

If you add three consecutive numbers and the sum is 120, estimate the size of the first of the three numbers you are adding. 
__________

Accepted Answer

The answer of If you add three consecutive numbers and...

The sum of 6 and twice a number is equal to five times the number. The number is: __________

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many of each type do x molecules contain? atoms of iron atoms of oxygen

Solve the inequality. $8>-u$

Find two consecutive numbers whose sum is 115.

Solve for the variable that is capitalized. Assume that none of the variables is 0. $A + 3 b = 11$

Solve the inequality. -11 > -m

Solve the equation. $x + 2 = 15$

Simplify the expression. $( 5 x + 8 y ) + ( 4 x - 3 y )$

Simplify the expression as completely as possible. $- a a ^ { 4 } a ^ { 3 }$

Give the degree of the polynomial. Enter your answer as a number. $4 a b - d$

Simplify the following expression by combining similar terms. $3 x - 6 x$

Solve the equation. $2 ( x - 4 ) = 3 ( x - 5 )$

Solve the formula $H = k p x$ for the variable $p$ .

You have a jar of 160 nuts and 150 bolts, and you dump this into a can that has 15 bolts and 135 nuts. How many nuts and bolts are now in the can? nuts bolts

Simplify the algebraic expression. $3 ( x + y ) + 3 x - y$

A plumber cuts a pipe that is 16 feet long into $x$ equal pieces. Find an expression for the length of each piece.

Solve the equation. $4 ( c + 7 ) = 3 ( c - 2 )$ $c =$ __________

Simplify the algebraic expression. $y \left( 9 y ^ { 2 } + 8 y + 8 \right) - y \left( 3 y ^ { 2 } - 4 y + 5 \right)$

The first step in solving $x + 10 = 4$ is to subtract 4 from both sides.

If you add three consecutive numbers and the sum is 120, estimate the size of the first of the three numbers you are adding. __________

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

Exam 3: Introduction to Algebra

The sum of 6 and twice a number is equal to five times the number. The number is: __________

A molecule of Fe2O3\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }Fe2​O3​ consists of 2 iron atoms and 3 oxygen atoms. How many of each type do x molecules contain? __________ atoms of iron __________ atoms of oxygen

Solve the inequality. 8>−u8>-u8>−u

Find two consecutive numbers whose sum is 115.

Solve for the variable that is capitalized. Assume that none of the variables is 0. A+3b=11A + 3 b = 11A+3b=11

Solve the inequality. -11 > -m

Solve the equation. x+2=15x + 2 = 15x+2=15

Simplify the expression. (5x+8y)+(4x−3y)( 5 x + 8 y ) + ( 4 x - 3 y )(5x+8y)+(4x−3y)

Simplify the expression as completely as possible. −aa4a3- a a ^ { 4 } a ^ { 3 }−aa4a3

Give the degree of the polynomial. Enter your answer as a number. 4ab−d4 a b - d4ab−d

Simplify the following expression by combining similar terms. 3x−6x3 x - 6 x3x−6x

Solve the equation. 2(x−4)=3(x−5)2 ( x - 4 ) = 3 ( x - 5 )2(x−4)=3(x−5)

Solve the formula H=kpxH = k p xH=kpx for the variable ppp .

You have a jar of 160 nuts and 150 bolts, and you dump this into a can that has 15 bolts and 135 nuts. How many nuts and bolts are now in the can? __________ nuts __________ bolts

Simplify the algebraic expression. 3(x+y)+3x−y3 ( x + y ) + 3 x - y3(x+y)+3x−y

A plumber cuts a pipe that is 16 feet long into xxx equal pieces. Find an expression for the length of each piece.

Solve the equation. 4(c+7)=3(c−2)4 ( c + 7 ) = 3 ( c - 2 )4(c+7)=3(c−2) c=c =c= __________

Simplify the algebraic expression. y(9y2+8y+8)−y(3y2−4y+5)y \left( 9 y ^ { 2 } + 8 y + 8 \right) - y \left( 3 y ^ { 2 } - 4 y + 5 \right)y(9y2+8y+8)−y(3y2−4y+5)

The first step in solving x+10=4x + 10 = 4x+10=4 is to subtract 4 from both sides.

If you add three consecutive numbers and the sum is 120, estimate the size of the first of the three numbers you are adding. __________

Arithmetic, Calculators, and Problem Solving

Sets of Numbers

Percents and Problem Solving

Introduction to Geometry

Measurement and Problem Solving

Applications of Percent

Sets and Logic

Probability

Statistics

Graphs

Filters

A molecule of $\mathrm { Fe } _ { 2 } \mathrm { O } _ { 3 }$ consists of 2 iron atoms and 3 oxygen atoms. How many of each type do x molecules contain? atoms of iron atoms of oxygen

Solve the inequality. $8>-u$

Solve for the variable that is capitalized. Assume that none of the variables is 0. $A + 3 b = 11$

Solve the equation. $x + 2 = 15$

Simplify the expression. $( 5 x + 8 y ) + ( 4 x - 3 y )$

Simplify the expression as completely as possible. $- a a ^ { 4 } a ^ { 3 }$

Give the degree of the polynomial. Enter your answer as a number. $4 a b - d$

Simplify the following expression by combining similar terms. $3 x - 6 x$

Solve the equation. $2 ( x - 4 ) = 3 ( x - 5 )$

Solve the formula $H = k p x$ for the variable $p$ .

You have a jar of 160 nuts and 150 bolts, and you dump this into a can that has 15 bolts and 135 nuts. How many nuts and bolts are now in the can? nuts bolts

Simplify the algebraic expression. $3 ( x + y ) + 3 x - y$

A plumber cuts a pipe that is 16 feet long into $x$ equal pieces. Find an expression for the length of each piece.

Solve the equation. $4 ( c + 7 ) = 3 ( c - 2 )$ $c =$ __________

Simplify the algebraic expression. $y \left( 9 y ^ { 2 } + 8 y + 8 \right) - y \left( 3 y ^ { 2 } - 4 y + 5 \right)$

The first step in solving $x + 10 = 4$ is to subtract 4 from both sides.