Linearity

Problem 1

Solve for $x$ in the equation: $3(x+3)-5=16$ .

See Solution

Problem 2

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 3

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 4

Решите у в уравнении: $4y + 3 = 6y - 7$ .

See Solution

Problem 5

A boat travels 129 km on 43 liters. How far can it go on 57 liters?

See Solution

Problem 6

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את ערך $x$ . תשובה: $x =$

See Solution

Problem 7

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את $x =$

See Solution

Problem 8

Solve the system of equations: $6x - 7y = -8$ and $-x - 4y = -9$ .

See Solution

Problem 9

Solve the equation $\frac{7x - 8}{5} = \frac{2x + 5}{4}$ .

See Solution

Problem 10

Solve the equation: $\frac{5(x+11)}{3}=\frac{3(1+x)}{2}$ for $x$ .

See Solution

Problem 11

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

See Solution

Problem 12

Solve the system of equations: $10x - 14y = -4$ and $-10x - 20y = -30$ .

See Solution

Problem 13

In the 2017 Wyoming senate of 30 members, find the inequality for Democrats $d$ and Republicans $r$ for a bill to pass:
A) $d+r>15$
B) $d+r<15$
C) $d+r \geq 15$
D) $d+r \leq 15$

See Solution

Problem 14

In the 2017 Wyoming state senate of 30 members, what inequality shows $d + r > 15$ for a bill to pass? A) $d+r>15$ B) $d+r<15$ C) $d+r \geq 15$ D) $d+r \leq 15$

See Solution

Problem 15

Solve the system of equations: $5x - 14y = -23$ and $-6x + 7y = 8$ .

See Solution

Problem 16

A passenger train travels at $29.2 \mathrm{~km/h}$ and a cattle train at $36.5 \mathrm{~km/h}$ . How long until the cattle train catches up?

See Solution

Problem 17

Initially, there are 84 white and 57 black pebbles. After adding equal pebbles, the ratio is $11:8$ . Find the final white pebbles.

See Solution

Problem 18

Solve for $x$ in the equation $2 x + 9 = 16$ .

See Solution

Problem 19

Find the slope of the line given by $y-8=-\frac{1}{2}(x-2)$ . Answer as an integer or fraction.

See Solution

Problem 20

Lulu had twice as many red buttons as green. After giving away $\frac{1}{3}$ red and $\frac{4}{5}$ green, she had 368 left. How many did she start with?

See Solution

Problem 21

Karan borrowed \$3,650 for 5 months at 10% interest. What is her monthly payment amount?

See Solution

Problem 22

16. Dari 50 soal, Aminah jawab 48 dan dapat skor 100. Berapa soal yang dijawab benar jika skor benar 4, salah -2, tidak dijawab -1?
17. Aisyah menghitung jumlah halaman 98 halaman jadi 4.851, ada 1 halaman dihitung dua kali. Cari nomor halaman yang salah.

See Solution

Problem 23

Analyze how a student could mistakenly choose each incorrect answer for the system of equations: $x - 2y = 2$ and $2x + y = 9$ .

See Solution

Problem 24

Solve the equations: $3x - 9 = 4x + 5$ , $3 - 9 = 4x + 5$ , $3x = 4x + 7 + 3$ .

See Solution

Problem 25

Solve the equation: $1 - 2x = 0$ .

See Solution

Problem 26

Solve the equation: $-1 - 2x = 0$ .

See Solution

Problem 27

Alex and Chris share sweets in a $7:3$ ratio. Alex has 20 more sweets than Chris. Find how many sweets Chris gets.

See Solution

Problem 28

Deux amis comparent le coût du parking: 2,50 € pour 50 min et 3,50 € pour 1 h 10 min. Le prix est-il proportionnel au temps?

See Solution

Problem 29

Find the excess supply of jeans when the price is set at \ $R 650, given demand$ p_{d}=500-2 q_{d} $and supply$ p_{s}=-30+8 q_{s}$.

See Solution

Problem 30

Find the equilibrium price $p$ and quantity $q$ where $q_{d}=330-2 p_{d}$ and $q_{s}=-170+3 p_{s}$ .

See Solution

Problem 31

Find the intersection point(s) of the demand $q=710-5.5p$ and supply $p=3.5q+57.5$ functions.

See Solution

Problem 32

A faulty barometer shows $72.6 \mathrm{cmHg}$ when actual pressure is $75.0 \mathrm{cmHg}$ . Find pressure at $72.0 \mathrm{cmHg}$ .

See Solution

Problem 33

In a sale, pencil boxes are \$20 and chocolates are \$50. If 100 items sold raise \$3950, how many pencil boxes were sold?

See Solution

Problem 34

Mary and Susan have 100 postcards. After Mary gives $\frac{4}{5}$ of hers to Susan, Susan has 85. Find Mary's original postcards.

See Solution

Problem 35

In a charity sale, a pencil box costs \$20 and a pack of chocolate costs \$50. If 100 items are sold for \$3950, how many pencil boxes were sold?

See Solution

Problem 36

Solve for $z$ in the equation $283 - z = 15z + 11$ .

See Solution

Problem 37

The graph of $y=4-x$ is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

See Solution

Problem 38

Find the original price of an item that costs \$4.20 after a 20% price decrease. Options: a) \$4.40 b) \$5.04 c) \$5.00 d) \$4.96 e) \$5.25

See Solution

Problem 39

Trova due segmenti la cui somma è $57 \mathrm{~cm}$ e differenza è $7 \mathrm{~cm}$ . R: $32 \mathrm{~cm}$ e $25 \mathrm{~cm}$ .

See Solution

Problem 40

A car leaves Regina at 1 PM at 85 km/h. A 2nd car leaves at 1:30 PM at 110 km/h. When does it pass the first car?

See Solution

Problem 41

Giải hệ phương trình: $-2mx + y = 5$ và $mx + 3y = 1$ . Tìm nghiệm khi $m=1$ và giá trị $m$ để hệ có nghiệm duy nhất.

See Solution

Problem 42

Solve the system of equations: $x + y = 5$ and $x - y = -1$ .

See Solution

Problem 43

Solve for $x$ in the equation: $2 x + 5 = 10$ .

See Solution

Problem 44

Find the algebraic expression for "a number plus 17 equals 30".

See Solution

Problem 45

Kiaria is 7 years older than Jay, and Martha is twice Kiaria's age. Their ages total 77. Find the age ratio of Jay:Kiaria:Martha.

See Solution

Problem 46

Solve for 'x' in the equation $5x=20$ .

See Solution

Problem 47

Un monedero tiene 125 monedas de 50, 100 y 500, con un total de \$ 17000. ¿Cuántas hay de cada tipo?

See Solution

Problem 48

A tuck shop has weekly costs of $R 900$ . If 200 pies are sold at $R 23,00$ each with a production cost of $R 15,00$ , find the profit.

See Solution

Problem 49

Find the line equation perpendicular to $y=6x-2$ that passes through $(6,-2)$ . $y=[?] \frac{[]}{[]} x+[]$

See Solution

Problem 50

Determine the line equation through points (3,3) and (4,5). $y=[?] x+[\quad]$

See Solution

Problem 51

Solve for $x$ in the equation $\frac{3}{4} x - 5 = -2$ .

See Solution

Problem 52

Tom has \$x. Jack has \$50 more than twice Tom's amount. Their total is \$170. How much does Jack have?

See Solution

Problem 53

\$ 140 is divided among A, B, and C. A gets \$ 10 more than B, and B gets \$ 20 more than C. Find their amounts.

See Solution

Problem 54

Amy drives at $y$ km/h for 2 hours and walks 5 km. If total distance is 133 km, find $y$ .

See Solution

Problem 55

Mary buys cups of soft drink for \ $100 and gets \$72 change. If$ x$ is the number of cups, find the total cost: \$100 - \$72.

See Solution

Problem 56

Mary buys 2 popcorns for \ $8 each and$ x $soft drinks for \$3 each, paying \$100 and getting \$72 back. Find$ x$.

See Solution

Problem 57

Mary buys 2 packets of popcorn for \$8 each and cups of soft drink for \$3. She pays \$100 and gets \$72 back.
(a) Express total cost as a function of $x$ , where $x$ is the number of cups of soft drink. (b) Determine the value of $x$ .

See Solution

Problem 58

Ann has \$200 to buy rulers (\$5 each) and pens (\$6 each).
(i) If she buys 39 items total, how many pens does she buy? (ii) Can she buy 33 items total? Explain.

See Solution

Problem 59

Solve $2(x+3)+3x=16$ and $7x+5(2-x)=18$ .

See Solution

Problem 60

पाच क्रमवार सम संख्यांची बेरीज 130 आहे. सर्वांत लहान संख्या कोण आहे? संख्या $x, x+2, x+4, x+6, x+8$ आहेत.

See Solution

Problem 61

Express the inequality $8 \leq 1-2 z < 13$ in terms of $z$ .

See Solution

Problem 62

Mrs. Lim fried 342 more curry puffs than sardine puffs. After giving away $\frac{1}{3}$ of curry puffs and $\frac{1}{6}$ of sardine puffs, she has 255 left. How many puffs did she give away?

See Solution

Problem 63

Amy's height is $\frac{4}{5}$ of Stephen's, and Stephen's is $\frac{5}{6}$ of Mr. Wong's. Mr. Wong is $60 \mathrm{~cm}$ taller than Amy. Find Mr. Wong's height.

See Solution

Problem 64

John rents a bike from Company A for $x$ hours, paying \ $218. Find$ x$. Would Company B be cheaper? Explain.

See Solution

Problem 65

John rents a bike from Company A for $x$ hours and pays \ $218. Find$ x$ if the basic charge is \$128 for 6 hours and extra is \$30 for 30 mins.

See Solution

Problem 66

Solve for $x$ : $2x + 7 = 5$ .

See Solution

Problem 67

Una señora gastó $\frac{1}{4}$ de su dinero en el supermercado y $\frac{2}{3}$ en la peluquería, le quedaron \$ 15. ¿Cuánto tenía?

See Solution

Problem 68

Bob dio $\frac{1}{10}$ de sus lápices a Bárbara y $\frac{8}{9}$ de los restantes a Bonnie. Si le quedan 100, ¿cuántos tenía al inicio?

See Solution

Problem 69

Solve for $y$ : $6=2(y+2)$ . What is $y$ ?

See Solution

Problem 70

Ben divides by 5 to solve $-24=5(g+3)$ , while Amelia uses the Distributive Property. Which method do you prefer and why?

See Solution

Problem 71

Find the value of the blank in the equation $25 - \_ = 13$ .

See Solution

Problem 72

Find two natural numbers in the ratio $5: 9$ such that $3 \times \text{larger} - 2 \times \text{smaller} = 68$ .

See Solution

Problem 73

Find two natural numbers in the ratio $5:9$ such that $3 \times \text{larger} - 2 \times \text{smaller} = 68$ .

See Solution

Problem 74

Raj's age now is what makes him twice his age from 3 years ago in 7 years. Find his current age.

See Solution

Problem 75

Divide 132 into two parts: $\frac{3}{5}$ of one part equals $\frac{1}{2}$ of the other. Find the parts.

See Solution

Problem 76

Find a two-digit number whose digits sum to 7, and when reversed, equals two more than twice the original number.

See Solution

Problem 77

Find the number $x$ such that $40 - x = \frac{5}{3}x$ .

See Solution

Problem 78

A two-digit number's digits sum to 8. Subtracting 36 reverses its digits. What is the original number?

See Solution

Problem 79

In a shooting game, let Peter's score be $x$ , Mary's score be $y$ , and Susan's score be $z$ .
(a) Express $z$ as $z = x + y$ . (b) If $z = x + 300$ and $y = 2x$ , find Susan's score.

See Solution

Problem 80

What does the number 0.8636 represent in the equation $y=0.8636 x+27.227$ for students per classroom at Central High School?

See Solution

Problem 81

Solve for $x$ and $y$ using substitution: 11. $2x - 3y = 5$ , $x = -2y - 8$ .

See Solution

Problem 82

Solve $\frac{x+y}{2x+3y}=\frac{3}{8}$ and $x+2y=225$ for $x$ and $y$ .

See Solution

Problem 83

5 pens and 3 rulers cost \$58. If 3 pens cost the same as 4 rulers, find the price of a pen and a ruler.

See Solution

Problem 84

Solve $\frac{x+y}{2 x+3 y}=\frac{3}{8}$ for $y$ in terms of $x$ .

See Solution

Problem 85

Charles has 5 times Denise's stickers. After giving 32 stickers to Denise, they have equal amounts. Find their total stickers.

See Solution

Problem 86

Solve the equations $\frac{12}{a} + \frac{6}{b} = 78$ and $\frac{15}{a} + \frac{1}{b} = 78$ .

See Solution

Problem 87

Solve the equations $12x + 6y = 78$ and $15x + y = 78$ , then solve $\frac{12}{a} + \frac{6}{b} = \frac{15}{a} + \frac{1}{b} = 78$ .

See Solution

Problem 88

(a) Solve $12x + 6y = 78$ and $15x + y = 78$ .
(b) Solve $\frac{12}{a} + \frac{6}{b} = 78$ and $\frac{15}{a} + \frac{1}{b} = 78$ .

See Solution

Problem 89

Solve for $a$ and $b$ in the equations: $a + b = 15$ and $a - b = -3$ .

See Solution

Problem 90

Given $x=1$ and $y=-1$ , find two equations for constants $a$ and $b$ from $a x + b y = -3$ and $b x - a y = 15$ .

See Solution

Problem 91

Given $x=1$ and $y=-1$ , find two equations for constants $a$ and $b$ from $k(1) + b(-1) = -3$ and $b(1) - a(-1) = 15$ . Then, solve for $a$ and $b$ .

See Solution

Problem 92

Find the values of $h$ and $k$ where $(12, h)$ is the intersection of $x + 4y = 20$ and $2x + ky - 18 = 0$ .

See Solution

Problem 93

Solve the equation $3x - 5 = 10$ .

See Solution

Problem 94

Solve for $x$ in the equation: $2x + 3 = 2$ .

See Solution

Problem 95

Mrs. Rodger's weekly raise of \$145 affects her biweekly paycheck. Calculate the total raise for two weeks.

See Solution

Problem 96

Solve for $x$ in the equation: $24 + 3 = x + 7$ .

See Solution

Problem 97

Solve the equations: $3x - y = -6$ and $x + 2y = -23$ to find the numbers $x$ and $y$ .

See Solution

Problem 98

Find the slope $m$ and y-intercept $b$ of the linear function $f(x)=m x+b$ given $f(-5)=16$ and $f(3)=-8$ .

See Solution

Problem 99

Solve for two numbers: $3x - y = 21$ and $x + 2y = 0$ . Find the values of $x$ and $y$ .

See Solution

Problem 100

Solve for $x$ in the equation: $x + 5 = 3$ .

See Solution

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Linearity

Problem 1

Solve for x x x in the equation: 3(x+3)−5=16 3(x+3)-5=16 3(x+3)−5=16.

Problem 2

Solve 3x−5=16 3x - 5 = 16 3x−5=16 for x x x and express your answer in set notation.

Problem 3

Solve 3x−5=16 3x - 5 = 16 3x−5=16 for x x x and express your answer in set notation.

Problem 4

Решите у в уравнении: 4y+3=6y−74y + 3 = 6y - 74y+3=6y−7.

Problem 5

A boat travels 129 km on 43 liters. How far can it go on 57 liters?

Problem 6

פתרו את המשוואה 3x+5=14 3 x + 5 = 14 3x+5=14 ומצאו את ערך x x x. תשובה: x= x = x=

Problem 7

פתרו את המשוואה 3x+5=14 3 x + 5 = 14 3x+5=14 ומצאו את x= x = x=

Problem 8

Solve the system of equations: 6x−7y=−86x - 7y = -86x−7y=−8 and −x−4y=−9-x - 4y = -9−x−4y=−9.

Problem 9

Solve the equation 7x−85=2x+54 \frac{7x - 8}{5} = \frac{2x + 5}{4} 57x−8​=42x+5​.

Problem 10

Solve the equation: 5(x+11)3=3(1+x)2 \frac{5(x+11)}{3}=\frac{3(1+x)}{2} 35(x+11)​=23(1+x)​ for x x x.

Problem 11

Solve 3x−5=16 3x - 5 = 16 3x−5=16 for x x x and express your answer in set notation.

Problem 12

Solve the system of equations: 10x−14y=−410x - 14y = -410x−14y=−4 and −10x−20y=−30-10x - 20y = -30−10x−20y=−30.

Problem 13

In the 2017 Wyoming senate of 30 members, find the inequality for Democrats d d d and Republicans r r r for a bill to pass: A) d+r>15 d+r>15 d+r>15 B) d+r<15 d+r<15 d+r<15 C) d+r≥15 d+r \geq 15 d+r≥15 D) d+r≤15 d+r \leq 15 d+r≤15

Problem 14

In the 2017 Wyoming state senate of 30 members, what inequality shows d+r>15 d + r > 15 d+r>15 for a bill to pass? A) d+r>15 d+r>15 d+r>15 B) d+r<15 d+r<15 d+r<15 C) d+r≥15 d+r \geq 15 d+r≥15 D) d+r≤15 d+r \leq 15 d+r≤15

Problem 15

Solve the system of equations: 5x−14y=−23 5x - 14y = -23 5x−14y=−23 and −6x+7y=8 -6x + 7y = 8 −6x+7y=8.

Problem 16

A passenger train travels at 29.2 km/h 29.2 \mathrm{~km/h} 29.2 km/h and a cattle train at 36.5 km/h 36.5 \mathrm{~km/h} 36.5 km/h. How long until the cattle train catches up?

Problem 17

Initially, there are 84 white and 57 black pebbles. After adding equal pebbles, the ratio is 11:8 11:8 11:8. Find the final white pebbles.

Problem 18

Solve for x x x in the equation 2x+9=16 2 x + 9 = 16 2x+9=16.

Problem 19

Find the slope of the line given by y−8=−12(x−2) y-8=-\frac{1}{2}(x-2) y−8=−21​(x−2). Answer as an integer or fraction.

Problem 20

Lulu had twice as many red buttons as green. After giving away 13\frac{1}{3}31​ red and 45\frac{4}{5}54​ green, she had 368 left. How many did she start with?

Problem 21

Karan borrowed \$3,650 for 5 months at 10% interest. What is her monthly payment amount?

Problem 22

16. Dari 50 soal, Aminah jawab 48 dan dapat skor 100. Berapa soal yang dijawab benar jika skor benar 4, salah -2, tidak dijawab -1?17. Aisyah menghitung jumlah halaman 98 halaman jadi 4.851, ada 1 halaman dihitung dua kali. Cari nomor halaman yang salah.

Problem 23

Analyze how a student could mistakenly choose each incorrect answer for the system of equations: x−2y=2x - 2y = 2x−2y=2 and 2x+y=92x + y = 92x+y=9.

Problem 24

Solve the equations: 3x−9=4x+53x - 9 = 4x + 53x−9=4x+5, 3−9=4x+53 - 9 = 4x + 53−9=4x+5, 3x=4x+7+33x = 4x + 7 + 33x=4x+7+3.

Problem 25

Solve the equation: 1−2x=01 - 2x = 01−2x=0.

Problem 26

Solve the equation: −1−2x=0-1 - 2x = 0−1−2x=0.

Problem 27

Alex and Chris share sweets in a 7:37:37:3 ratio. Alex has 20 more sweets than Chris. Find how many sweets Chris gets.

Problem 28

Deux amis comparent le coût du parking: 2,50 € pour 50 min et 3,50 € pour 1 h 10 min. Le prix est-il proportionnel au temps?

Problem 29

Find the excess supply of jeans when the price is set at \R650,givendemandR 650, given demand R650,givendemandp_{d}=500-2 q_{d}andsupply and supply andsupplyp_{s}=-30+8 q_{s}$.

Problem 30

Find the equilibrium price ppp and quantity qqq where qd=330−2pdq_{d}=330-2 p_{d}qd​=330−2pd​ and qs=−170+3psq_{s}=-170+3 p_{s}qs​=−170+3ps​.

Problem 31

Find the intersection point(s) of the demand q=710−5.5pq=710-5.5pq=710−5.5p and supply p=3.5q+57.5p=3.5q+57.5p=3.5q+57.5 functions.

Problem 32

A faulty barometer shows 72.6cmHg72.6 \mathrm{cmHg}72.6cmHg when actual pressure is 75.0cmHg75.0 \mathrm{cmHg}75.0cmHg. Find pressure at 72.0cmHg72.0 \mathrm{cmHg}72.0cmHg.

Problem 33

In a sale, pencil boxes are \$20 and chocolates are \$50. If 100 items sold raise \$3950, how many pencil boxes were sold?

Problem 34

Mary and Susan have 100 postcards. After Mary gives 45\frac{4}{5}54​ of hers to Susan, Susan has 85. Find Mary's original postcards.

Problem 35

In a charity sale, a pencil box costs \$20 and a pack of chocolate costs \$50. If 100 items are sold for \$3950, how many pencil boxes were sold?

Problem 36

Solve for zzz in the equation 283−z=15z+11283 - z = 15z + 11283−z=15z+11.

Problem 37

The graph of y=4−xy=4-xy=4−x is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Problem 38

Find the original price of an item that costs \$4.20 after a 20% price decrease. Options: a) \$4.40 b) \$5.04 c) \$5.00 d) \$4.96 e) \$5.25

Problem 39

Trova due segmenti la cui somma è 57 cm57 \mathrm{~cm}57 cm e differenza è 7 cm7 \mathrm{~cm}7 cm. R: 32 cm32 \mathrm{~cm}32 cm e 25 cm25 \mathrm{~cm}25 cm.

Problem 40

Solve for $x$ in the equation: $3(x+3)-5=16$ .

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Решите у в уравнении: $4y + 3 = 6y - 7$ .

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את ערך $x$ . תשובה: $x =$

פתרו את המשוואה $3 x + 5 = 14$ ומצאו את $x =$

Solve the system of equations: $6x - 7y = -8$ and $-x - 4y = -9$ .

Solve the equation $\frac{7x - 8}{5} = \frac{2x + 5}{4}$ .

Solve the equation: $\frac{5(x+11)}{3}=\frac{3(1+x)}{2}$ for $x$ .

Solve $3x - 5 = 16$ for $x$ and express your answer in set notation.

Solve the system of equations: $10x - 14y = -4$ and $-10x - 20y = -30$ .

In the 2017 Wyoming senate of 30 members, find the inequality for Democrats $d$ and Republicans $r$ for a bill to pass:
A) $d+r>15$
B) $d+r<15$
C) $d+r \geq 15$
D) $d+r \leq 15$

In the 2017 Wyoming state senate of 30 members, what inequality shows $d + r > 15$ for a bill to pass? A) $d+r>15$ B) $d+r<15$ C) $d+r \geq 15$ D) $d+r \leq 15$

Solve the system of equations: $5x - 14y = -23$ and $-6x + 7y = 8$ .

A passenger train travels at $29.2 \mathrm{~km/h}$ and a cattle train at $36.5 \mathrm{~km/h}$ . How long until the cattle train catches up?

Initially, there are 84 white and 57 black pebbles. After adding equal pebbles, the ratio is $11:8$ . Find the final white pebbles.

Solve for $x$ in the equation $2 x + 9 = 16$ .

Find the slope of the line given by $y-8=-\frac{1}{2}(x-2)$ . Answer as an integer or fraction.

Lulu had twice as many red buttons as green. After giving away $\frac{1}{3}$ red and $\frac{4}{5}$ green, she had 368 left. How many did she start with?

16. Dari 50 soal, Aminah jawab 48 dan dapat skor 100. Berapa soal yang dijawab benar jika skor benar 4, salah -2, tidak dijawab -1?
17. Aisyah menghitung jumlah halaman 98 halaman jadi 4.851, ada 1 halaman dihitung dua kali. Cari nomor halaman yang salah.

Analyze how a student could mistakenly choose each incorrect answer for the system of equations: $x - 2y = 2$ and $2x + y = 9$ .

Solve the equations: $3x - 9 = 4x + 5$ , $3 - 9 = 4x + 5$ , $3x = 4x + 7 + 3$ .

Solve the equation: $1 - 2x = 0$ .

Solve the equation: $-1 - 2x = 0$ .

Alex and Chris share sweets in a $7:3$ ratio. Alex has 20 more sweets than Chris. Find how many sweets Chris gets.

Find the excess supply of jeans when the price is set at \ $R 650, given demand$ p_{d}=500-2 q_{d} $and supply$ p_{s}=-30+8 q_{s}$.

Find the equilibrium price $p$ and quantity $q$ where $q_{d}=330-2 p_{d}$ and $q_{s}=-170+3 p_{s}$ .

Find the intersection point(s) of the demand $q=710-5.5p$ and supply $p=3.5q+57.5$ functions.

A faulty barometer shows $72.6 \mathrm{cmHg}$ when actual pressure is $75.0 \mathrm{cmHg}$ . Find pressure at $72.0 \mathrm{cmHg}$ .

Mary and Susan have 100 postcards. After Mary gives $\frac{4}{5}$ of hers to Susan, Susan has 85. Find Mary's original postcards.

Solve for $z$ in the equation $283 - z = 15z + 11$ .

The graph of $y=4-x$ is: a) parabola, b) parabola, c) line (slope -1, intercept 4), d) line (slope 4, intercept -1), e) circle.

Trova due segmenti la cui somma è $57 \mathrm{~cm}$ e differenza è $7 \mathrm{~cm}$ . R: $32 \mathrm{~cm}$ e $25 \mathrm{~cm}$ .

Giải hệ phương trình: $-2mx + y = 5$ và $mx + 3y = 1$ . Tìm nghiệm khi $m=1$ và giá trị $m$ để hệ có nghiệm duy nhất.

Solve the system of equations: $x + y = 5$ and $x - y = -1$ .

Solve for $x$ in the equation: $2 x + 5 = 10$ .

Solve for 'x' in the equation $5x=20$ .

A tuck shop has weekly costs of $R 900$ . If 200 pies are sold at $R 23,00$ each with a production cost of $R 15,00$ , find the profit.

Find the line equation perpendicular to $y=6x-2$ that passes through $(6,-2)$ . $y=[?] \frac{[]}{[]} x+[]$

Determine the line equation through points (3,3) and (4,5). $y=[?] x+[\quad]$

Solve for $x$ in the equation $\frac{3}{4} x - 5 = -2$ .

Amy drives at $y$ km/h for 2 hours and walks 5 km. If total distance is 133 km, find $y$ .

Mary buys cups of soft drink for \ $100 and gets \$72 change. If$ x$ is the number of cups, find the total cost: \$100 - \$72.

Mary buys 2 popcorns for \ $8 each and$ x $soft drinks for \$3 each, paying \$100 and getting \$72 back. Find$ x$.

Mary buys 2 packets of popcorn for \$8 each and cups of soft drink for \$3. She pays \$100 and gets \$72 back.
(a) Express total cost as a function of $x$ , where $x$ is the number of cups of soft drink. (b) Determine the value of $x$ .

Ann has \$200 to buy rulers (\$5 each) and pens (\$6 each).
(i) If she buys 39 items total, how many pens does she buy? (ii) Can she buy 33 items total? Explain.

Solve $2(x+3)+3x=16$ and $7x+5(2-x)=18$ .

पाच क्रमवार सम संख्यांची बेरीज 130 आहे. सर्वांत लहान संख्या कोण आहे? संख्या $x, x+2, x+4, x+6, x+8$ आहेत.

Express the inequality $8 \leq 1-2 z < 13$ in terms of $z$ .

Mrs. Lim fried 342 more curry puffs than sardine puffs. After giving away $\frac{1}{3}$ of curry puffs and $\frac{1}{6}$ of sardine puffs, she has 255 left. How many puffs did she give away?

Amy's height is $\frac{4}{5}$ of Stephen's, and Stephen's is $\frac{5}{6}$ of Mr. Wong's. Mr. Wong is $60 \mathrm{~cm}$ taller than Amy. Find Mr. Wong's height.

John rents a bike from Company A for $x$ hours, paying \ $218. Find$ x$. Would Company B be cheaper? Explain.

John rents a bike from Company A for $x$ hours and pays \ $218. Find$ x$ if the basic charge is \$128 for 6 hours and extra is \$30 for 30 mins.

Solve for $x$ : $2x + 7 = 5$ .

Una señora gastó $\frac{1}{4}$ de su dinero en el supermercado y $\frac{2}{3}$ en la peluquería, le quedaron \$ 15. ¿Cuánto tenía?

Bob dio $\frac{1}{10}$ de sus lápices a Bárbara y $\frac{8}{9}$ de los restantes a Bonnie. Si le quedan 100, ¿cuántos tenía al inicio?

Solve for $y$ : $6=2(y+2)$ . What is $y$ ?

Ben divides by 5 to solve $-24=5(g+3)$ , while Amelia uses the Distributive Property. Which method do you prefer and why?

Find the value of the blank in the equation $25 - \_ = 13$ .

Find two natural numbers in the ratio $5: 9$ such that $3 \times \text{larger} - 2 \times \text{smaller} = 68$ .

Find two natural numbers in the ratio $5:9$ such that $3 \times \text{larger} - 2 \times \text{smaller} = 68$ .