Deck 5: Using Equations to Solve Business Problems

Question 1

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

Answer 1

transpose

Question 2

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

A) 1
B) 8.75
C) 15.25
D) 4

Answer 2

1

Question 3

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

Answer 3

variables

Question 4

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

A) 1
B) 2
C) 3.5
D) 4

Question 5

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

Question 6

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

Question 7

Solve the equation: 4x + 49 = 105

A) 14
B) 224
C) 38.5
D) 616

Question 8

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

A) 1
B) 9
C) 11
D) 13

Question 9

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

A) 4
B) 5
C) 12
D) 17

Question 10

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

Question 11

____________________ are mathematical statements expressing a relationship of equality.

Question 12

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

A) 180
B) 2.22
C) 18
D) 11

Question 13

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

Question 14

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

A) 5
B) 45
C) 75
D) −75

Question 15

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

A) 2
B) 4
C) 5
D) 6

Question 16

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

Question 17

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

Question 18

Solve the equation: 7a + 53 = 74

A) 3
B) 5
C) 7
D) 9

Question 19

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

Question 20

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

A) 4
B) 5.5
C) 12
D) 8.25

Question 21

Luis and Berto sell TVs. Last month Berto sold 15 more TVs than Luis. Together they sold 163. How many TVs did Luis sell?

A) 56
B) 74
C) 89
D) 128

Question 22

Translate into an equation: The cost of V ounces at $4 per ounce is $196.

A) 4V = 196
B) 4 + V = 196
C) V − 4 = 196
D) 196V = 4

Question 23

George and Lee Sung sell stereos. Last month George sold 19 more stereos than Lee Sung. Together they sold 153. How many stereos did Lee Sung sell?

A) 83
B) 79
C) 67
D) 91

Question 24

Translate into an equation: A number divided by 26 is 52 (let the number be represented by T).

A) $\frac { 26 } { T } = 52$
B) $\frac { T } { 26 } = 52$
C) $\frac { T } { 52 } = 26$
D) $\frac { 52 } { T } = 26$

Question 25

If Samantha earns $225.00 for 6.25 hours of work, how many must he work to earn $918.00?

A) 47.625
B) 25
C) 25.5
D) 32.15

Question 26

Translate into an equation: A number increased by 19 equals 77 (let the number be represented by k).

A) k − 77 = 19
B) k − 19 = 77
C) k + 19 = 77
D) k × 19 = 77

Question 27

If a car can travel 504 miles on 21 gallons of fuel, how many gallons are required to travel 1,152 miles?

A) 27,648
B) 9.1875
C) 89
D) 48

Question 28

Employees at Standard Storage are in the ratio of 2 women to 7 men. If there are 490 men employed, how many women are employed there?

A) 140
B) 121
C) 95
D) 110

Question 29

Translate into an equation: A number divided by 47 equals 55 (let the number be represented by K).

A) $\frac { 47 } { K } = 55$
B) $\frac { K } { 55 } = 47$
C) $\frac { K } { 47 } = 55$
D) $\frac { 55 } { K } = 47$

Question 30

Mira and Marie sell computers. Last month Mira sold 16 more computers than Marie. Together they sold 56. How many computers did Marie sell?

A) 20
B) 36
C) 16
D) 40

Question 31

Translate the following into an equation: The sum of T and 45 is 48.

A) T + 45 = 48
B) 45T = 48
C) 48 − T = 45
D) $\frac { T } { 45 } = 48$

Question 32

Quinzel and Joseph sell shoes. Last month Quinzel sold 18 less pairs of shoes than Joseph. Together they sold 52 pairs. How many pairs of shoes did Quinzel sell?

A) 90
B) 26
C) 35
D) 17

Question 33

Translate into an equation: 11 times the difference of P and 29 gives 759.

A) 759(P − 29) = 11
B) 29(P − 759) = 11
C) 11(P − 29) = 759
D) 11(P + 29) = 759

Question 34

Essie and Ruby sell Blu-Ray players. Last month Essie sold 35 less Blu-Ray players than Ruby. Together they sold 145. How many Blu-Ray players did Essie sell?

A) 90
B) 30
C) 55
D) 105

Question 35

An architect uses a scale of 0.5 inch to represent 1 foot on a blueprint. If the west wall of a building is 27 feet long, how long will the line be on the blueprint?

A) 54 inches
B) 13.5 inches
C) 27 inches
D) 9 inches

Question 36

Last month a store sold 4 times as many tapes as CDs. If the total quantity of these two items sold was 360, how many tapes did the store sell?

A) 288
B) 360
C) 90
D) 20

Question 37

Translate into an equation: A number divided by 212 equals 53 (let the number be represented by N).

A) $\frac { 53 } { N } = 212$
B) $\frac { N } { 212 } = 53$
C) $\frac { N } { 53 } = 212$
D) $\frac { 212 } { N } = 53$

Question 38

Translate the following into an equation: A number multiplied by 19 is 342 (let the number be represented by the letter V).

A) $\frac { V } { 19 } = 342$
B) 342V = 19
C) $\frac { V } { 342 } = 19$
D) 19V = 342

Question 39

Salim sells fax machines that come in Standard and Enhanced models. The Standard model sells for $325 and the Enhanced model sells for $385. If Salim sold a total of 35 units and took in $12,575, how many of the Enhanced model did he sell?

A) 15
B) 20
C) 25
D) 10

Question 40

If Benito earns $187.50 for 12.5 hours of work, how many hours must he work to earn $465.00?

A) 87
B) 41
C) 31
D) 35

Question 41

Solve the equation for the unknown: 6(3R + 9) = 108

Question 42

Solve the equation for the unknown: 24N − 215 = 133

Question 43

Solve the equation for the unknown:

Question 44

Solve the equation for the unknown and round to the nearest hundredth: 3C − 62 = 50

Question 45

Solve the equation for the unknown: 5L + 6 = 71

Question 46

Solve the equation for the unknown: 18G = 126

Question 47

Solve the equation: 3y + 18 = 135

A) 51
B) 39
C) 38.5
D) 616

Question 48

Solve the equation for the unknown: K + 98 = 602

Question 49

Solve the equation for the unknown: 12(5Q + 20) = 480

Question 50

Boyd's car can travel 1891.5 miles on 48.5 gallons of fuel. How many miles can it travel on 64 gallons?

A) 1861
B) 2,107
C) 2,496
D) 2,722

Question 51

Solve the equation for the unknown: 2B + 28 = 82

Question 52

Solve the equation for the unknown:

Question 53

Solve the equation for the unknown:

Question 54

Solve the equation for the unknown:

Question 55

Solve the equation for the unknown: C − 16 = 48

Question 56

If Jillian earns $324 for 16 hours of work, how many hours must she work to earn $486.00?

A) 77
B) 24
C) 31
D) 25

Question 57

If a car can travel 250 miles on 10 gallons of fuel, how many gallons are required to travel 1,325 miles?

A) 43
B) 53
C) 250
D) 530

Question 58

Solve the equation for the unknown: 20.5T = 180

Question 59

If Argyl earns $93.00 for 7.75 hours of work, how many must he work to earn $571.50?

A) 47.625
B) 51.25
C) 55
D) 42.15

Question 60

Solve the equation for the unknown: 3(2S − 6) = 9

Question 61

Solve the proportion for X:

Question 62

Underline the key word(s) and translate into an equation: sales is the product of price and quantity

Question 63

Underline the key word(s) and translate into an equation: 12 less than 6B leaves 36

Question 64

An accounting firm has 24 partners. Twelve partners are senior partners and twelve are junior partners. The senior partners receive twice as much as the junior partners. A net income of $22,600,000 is earned for the year. How much will each junior partner receive?

Question 65

Underline the key word(s) and translate into an expression: the sum of twice B and 8

Question 66

Underline the key word(s) and translate into an equation: 6 more than 5 times a number, plus 3 times that number, is 30

Question 67

Underline the key word(s) and translate into an expression: 6 times A divided by C

Question 68

Solve the equation for the unknown: T + 14 = 34 − 3T

Question 69

Underline the key word(s) and translate into an equation: a number totals 8 times the sum of R and S

Question 70

Underline the key word(s) and translate into an equation: a number increased by 12 is 804

Question 71

Underline the key word(s) and translate into an expression: the difference of 4G and 12

Question 72

Underline the key word(s) and translate into an equation: the cost of A at $12.50 each is $225.00

Question 73

Underline the key word(s) and translate into an expression: R times S times 192

Question 74

Underline the key word(s) and translate into an equation: A number divided by 49 makes 86 (let the number be represented by k)

Question 75

Solve the proportion for X:

Question 76

Underline the key word(s) and translate into an expression: 36 more than 5/8 of X

Question 77

Underline the key word(s) and translate into an expression: the difference of F and 23

Question 78

Underline the key word(s) and translate into an expression: the product of A and B plus $162 more

Question 79

Solve the equation for the unknown: 15X + 8 − X = 4(2X + 20)

Question 80

Underline the key word(s) and translate into an expression: 6 less than half of R