Question 1

To ____________________ means to transfer a term from one side of an equation to the other.

Accepted Answer

transpose

Question 2

Solve the equation: $\frac { t } { 25 } + 6 = 10$
A) 1
B) 8.75
C) 15.25
D) 4

Accepted Answer

A

Question 3

Letters of the alphabet used to represent unknown quantities in equations are called ____________________.

Accepted Answer

variables

Question 4

Solve the equation: 8(7a + 2) = 128
A) 1
B) 2
C) 3.5
D) 4

Accepted Answer

The answer of Solve the equation: 8(7a + 2) =...

Question 5

The numerical value of the variable that makes an equation true is known as the solution, or ____________________ of the equation.

Accepted Answer

The answer of The numerical value of the variable that...

Question 6

The number or quantity placed before another quantity indicating ____________________ is called a coefficient.

Accepted Answer

The answer of The number or quantity placed before another...

Question 7

Solve the equation: 4x + 49 = 105
A) 14
B) 224
C) 38.5
D) 616

Accepted Answer

First, subtract 49 from both sides of the equation to isolate the term with the variable: 4x = 105 - 49, which simplifies to 4x = 56. Then, divide both sides by 4 to solve for x: x = 56 / 4, which simplifies to x = 14.

Question 8

Solve the equation: 8(9a + 9) = 864
A) 1
B) 9
C) 11
D) 13

Accepted Answer

The answer of Solve the equation: 8(9a + 9) =...

Question 9

Solve the equation: 8n − 2 + 4n = 66 − 5n
A) 4
B) 5
C) 12
D) 17

Accepted Answer

To solve the equation $8n - 2 + 4n = 66 - 5n$, first combine like terms on each side: $12n - 2 = 66 - 5n$. Then, add $5n$ to both sides to get $17n - 2 = 66$. Next, add 2 to both sides to get $17n = 68$. Finally, divide both sides by 17 to find $n = 4$.

Question 10

A(n) ____________________ is a fraction that describes a comparison of two numbers or quantities.

Accepted Answer

The answer of A(n) ____________________ is a fraction that describes...

Question 11

____________________ are mathematical statements expressing a relationship of equality.

Accepted Answer

The answer of ____________________ are mathematical statements expressing a relationship...

Question 12

Solve the equation: $\frac { t } { 9 } - 9 = 11$
A) 180
B) 2.22
C) 18
D) 11

Accepted Answer

First, add 9 to both sides of the equation to get $\frac { t } { 9 } = 20$. Then, multiply both sides by 9 to solve for $t$, which gives $t = 180$.

Question 13

A(n) ____________________ is a statement showing that two ratios are equal.

Accepted Answer

The answer of A(n) ____________________ is a statement showing that...

Question 14

Solve the equation: $\frac { z } { 5 } - 3 = 12$
A) 5
B) 45
C) 75
D) −75

Accepted Answer

To solve the equation, add 3 to both sides to get $\frac{z}{5} = 15$. Then multiply both sides by 5 to find $z = 75$.

Question 15

Solve the equation: 5x + 5 + 7x = 47 + 5x
A) 2
B) 4
C) 5
D) 6

Accepted Answer

The answer of Solve the equation: 5x + 5 +...

Question 16

When solving equations with multiple grouping symbols, always start with the ____________________ symbols and work to the ____________________.

Accepted Answer

The answer of When solving equations with multiple grouping symbols,...

Question 17

To solve an equation means to find the numerical value of the ____________________that makes the
equation true.

Accepted Answer

The answer of To solve an equation means to find...

Question 18

Solve the equation: 7a + 53 = 74
A) 3
B) 5
C) 7
D) 9

Accepted Answer

To solve the equation for $a$, subtract 53 from both sides to isolate the variable term: $7a + 53 - 53 = 74 - 53$, which simplifies to $7a = 21$. Then, divide both sides by 7 to solve for $a$: $a = 21 / 7 = 3$.

Question 19

A(n) ____________________ is a mathematical statement describing a real-world situation in which letters represent number quantities.

Accepted Answer

The answer of A(n) ____________________ is a mathematical statement describing...

Question 20

Solve the equation: $\frac { 3 b } { 6 } + 2 b = 10$
A) 4
B) 5.5
C) 12
D) 8.25

Accepted Answer

First, simplify the equation: $\frac{3b}{6} + 2b = 10$ becomes $\frac{1}{2}b + 2b = 10$. Combining like terms gives $\frac{5}{2}b = 10$. Multiplying both sides by $\frac{2}{5}$ gives $b = 4$.

Quiz 5: Using Equations to Solve Business Problems

To ____________________ means to transfer a term from one side of an equation to the other.

Solve the equation: $\frac { t } { 25 } + 6 = 10$

Letters of the alphabet used to represent unknown quantities in equations are called ____________________.

Solve the equation: 8(7a + 2) = 128

The numerical value of the variable that makes an equation true is known as the solution, or ____________________ of the equation.

The number or quantity placed before another quantity indicating ____________________ is called a coefficient.

Solve the equation: 4x + 49 = 105

Solve the equation: 8(9a + 9) = 864

Solve the equation: 8n − 2 + 4n = 66 − 5n

A(n) ____________________ is a fraction that describes a comparison of two numbers or quantities.

____________________ are mathematical statements expressing a relationship of equality.

Solve the equation: $\frac { t } { 9 } - 9 = 11$

A(n) ____________________ is a statement showing that two ratios are equal.

Solve the equation: $\frac { z } { 5 } - 3 = 12$

Solve the equation: 5x + 5 + 7x = 47 + 5x

When solving equations with multiple grouping symbols, always start with the symbols and work to the .

To solve an equation means to find the numerical value of the ____________________that makes the equation true.

Solve the equation: 7a + 53 = 74

A(n) ____________________ is a mathematical statement describing a real-world situation in which letters represent number quantities.

Solve the equation: $\frac { 3 b } { 6 } + 2 b = 10$

Quiz 5: Using Equations to Solve Business Problems

To ____________________ means to transfer a term from one side of an equation to the other.

Solve the equation: t25+6=10\frac { t } { 25 } + 6 = 1025t​+6=10

Letters of the alphabet used to represent unknown quantities in equations are called ____________________.

Solve the equation: 8(7a + 2) = 128

The numerical value of the variable that makes an equation true is known as the solution, or ____________________ of the equation.

The number or quantity placed before another quantity indicating ____________________ is called a coefficient.

Solve the equation: 4x + 49 = 105

Solve the equation: 8(9a + 9) = 864

Solve the equation: 8n − 2 + 4n = 66 − 5n

A(n) ____________________ is a fraction that describes a comparison of two numbers or quantities.

____________________ are mathematical statements expressing a relationship of equality.

Solve the equation: t9−9=11\frac { t } { 9 } - 9 = 119t​−9=11

A(n) ____________________ is a statement showing that two ratios are equal.

Solve the equation: z5−3=12\frac { z } { 5 } - 3 = 125z​−3=12

Solve the equation: 5x + 5 + 7x = 47 + 5x

When solving equations with multiple grouping symbols, always start with the ____________________ symbols and work to the ____________________.

To solve an equation means to find the numerical value of the ____________________that makes the equation true.

Solve the equation: 7a + 53 = 74

A(n) ____________________ is a mathematical statement describing a real-world situation in which letters represent number quantities.

Solve the equation: 3b6+2b=10\frac { 3 b } { 6 } + 2 b = 1063b​+2b=10

Solve the equation: $\frac { t } { 25 } + 6 = 10$

Solve the equation: $\frac { t } { 9 } - 9 = 11$

Solve the equation: $\frac { z } { 5 } - 3 = 12$

When solving equations with multiple grouping symbols, always start with the symbols and work to the .

Solve the equation: $\frac { 3 b } { 6 } + 2 b = 10$